NCERT Solutions for CBSE Class 10 Physics — 817 solved questions with detailed explanations.
Ohm's Law: At constant temperature, the current flowing through a conductor is directly proportional to the potential difference across its ends.
V = IR
Where V = potential difference (volts), I = current (amperes), R = resistance (ohms, Ω).
Resistance is the property of a conductor that opposes the flow of current. Think of it as friction for electricity. A thicker wire has less resistance (more room for electrons), while a thinner wire has more resistance.
The SI unit of resistance is the ohm (Ω). 1 ohm is the resistance of a conductor through which 1 ampere of current flows when 1 volt of potential difference is applied across it.
When we plot a graph of V (on x-axis) against I (on y-axis) for an ohmic conductor, we get a straight line passing through the origin. The slope of this line gives 1/R (or the reciprocal of resistance).
Note: Not all conductors obey Ohm's law. Components like diodes and transistors are non-ohmic — their V-I graphs are not straight lines.
The resistance of a conductor depends on:
Combining these factors:
R = ρl/A
The constant ρ (rho) is called resistivity or specific resistance. It depends only on the material and temperature, not on the dimensions of the conductor.
SI unit of resistivity: Ω·m (ohm-metre)
When resistors are connected end-to-end so that the same current flows through each, they are said to be in series.
R_eq = R₁ + R₂ + R₃ + ...
Since V = V₁ + V₂ + V₃ and V = IR:
IR_eq = IR₁ + IR₂ + IR₃
Dividing both sides by I:
R_eq = R₁ + R₂ + R₃
In a series circuit, the equivalent resistance is always greater than the largest individual resistance. If one component breaks, the entire circuit breaks (like old-style Christmas lights).
When resistors are connected between the same two points so that the same potential difference is applied across each, they are in parallel.
1/R_eq = 1/R₁ + 1/R₂ + 1/R₃ + ...
Since I = I₁ + I₂ + I₃ and I = V/R:
V/R_eq = V/R₁ + V/R₂ + V/R₃
Dividing both sides by V:
1/R_eq = 1/R₁ + 1/R₂ + 1/R₃
R_eq = (R₁ × R₂) / (R₁ + R₂)
In a parallel circuit, the equivalent resistance is always less than the smallest individual resistance. If one component breaks, the others continue working (this is how household wiring works).
When current flows through a resistor, electrical energy is converted to heat energy. This is called the heating effect of electric current (or Joule heating).
The heat produced (H) is given by:
H = I²Rt
Where H = heat in joules, I = current in amperes, R = resistance in ohms, t = time in seconds.
Work done by the source: W = VIt
Using Ohm's law (V = IR): W = (IR)(I)(t) = I²Rt
This work is converted entirely into heat: H = I²Rt
Power is the rate at which electrical energy is consumed or dissipated.
P = VI = I²R = V²/R
SI unit: watt (W). 1 watt = 1 volt × 1 ampere = 1 joule per second.
1 kilowatt (kW) = 1000 W
Energy consumed = Power × Time
E = P × t = VIt
SI unit: joule (J)
The commercial unit of electrical energy is the kilowatt-hour (kWh), commonly called a "unit" on electricity bills.
1 kWh = 1000 W × 3600 s = 3.6 × 10⁶ J = 3.6 MJ
Example: If a 100 W bulb runs for 10 hours, energy consumed = 100 × 10 = 1000 Wh = 1 kWh = 1 "unit".
Difficulty: Easy · Topic: Electric Current
The SI unit of electric current is the ampere (A), named after André-Marie Ampère. 1 ampere is defined as the flow of 1 coulomb of charge per second. Volt is the unit of potential difference, ohm is the unit of resistance, and coulomb is the unit of charge.
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{28}{0.5} = 56.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{46}{0.25} = 184.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{39}{0.25} = 156.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{37}{5.0} = 7.4\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{29}{2.0} = 14.5\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{3}{0.5} = 6.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{21}{2.5} = 8.4\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{8}{3.0} = 2.67\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{9}{2.0} = 4.5\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{49}{3.0} = 16.33\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{18}{0.25} = 72.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{20}{0.25} = 80.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{46}{3.0} = 15.33\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{14}{2.0} = 7.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{5}{1.0} = 5.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{35}{3.0} = 11.67\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{48}{5.0} = 9.6\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{41}{0.25} = 164.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{28}{1.0} = 28.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{12}{5.0} = 2.4\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{8}{0.5} = 16.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{28}{1.5} = 18.67\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{37}{3.0} = 12.33\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{8}{2.5} = 3.2\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{21}{1.0} = 21.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{37}{0.1} = 370.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{30}{4.0} = 7.5\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{22}{1.0} = 22.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{24}{0.25} = 96.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{48}{2.0} = 24.0\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 11 + 39 = 50\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 4 + 42 = 46\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 25 + 3 = 28\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 42 + 46 = 88\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 30 + 18 = 48\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 3 + 31 = 34\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 49 + 4 = 53\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 5 + 37 = 42\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 17 + 24 = 41\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 47 + 14 = 61\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 7 + 37 = 44\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 48 + 43 = 91\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 24 + 28 = 52\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 19 + 16 = 35\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 25 + 35 = 60\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 44 + 38 = 82\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 4 + 26 = 30\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 24 + 19 = 43\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 2 + 50 = 52\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 49 + 13 = 62\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 11 + 47 = 58\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 19 + 6 = 25\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 17 + 39 = 56\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 12 + 4 = 16\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 39 + 7 = 46\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 34 + 15 = 49\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 7 + 2 = 9\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 21 + 2 = 23\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 41 + 7 = 48\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 21 + 47 = 68\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 5.0 \times 45 = 225.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 1.5 \times 25 = 37.5\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.25 \times 25 = 6.25\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.2 \times 30 = 6.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 1.0 \times 9 = 9.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 3.0 \times 2 = 6.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 3.0 \times 37 = 111.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 1.5 \times 10 = 15.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 1.5 \times 61 = 91.5\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 5.0 \times 77 = 385.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 5.0 \times 37 = 185.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 2.5 \times 2 = 5.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 5.0 \times 97 = 485.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.25 \times 50 = 12.5\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 1.5 \times 100 = 150.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 4.0 \times 27 = 108.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.5 \times 7 = 3.5\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.5 \times 70 = 35.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 3.0 \times 28 = 84.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 4.0 \times 26 = 104.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.25 \times 91 = 22.75\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 3.0 \times 65 = 195.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.2 \times 5 = 1.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 2.0 \times 35 = 70.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.25 \times 41 = 10.25\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 1.0 \times 48 = 48.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.5 \times 77 = 38.5\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.25 \times 61 = 15.25\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 2.0 \times 62 = 124.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.2 \times 28 = 5.6\) V
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 3000\text{ W} \times 10\text{ h} = 30.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 1500\text{ W} \times 3\text{ h} = 4.5\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 200\text{ W} \times 2\text{ h} = 0.4\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 3000\text{ W} \times 1\text{ h} = 3.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 1500\text{ W} \times 12\text{ h} = 18.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 750\text{ W} \times 7\text{ h} = 5.25\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 200\text{ W} \times 3\text{ h} = 0.6\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 2000\text{ W} \times 7\text{ h} = 14.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 200\text{ W} \times 1\text{ h} = 0.2\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 1500\text{ W} \times 11\text{ h} = 16.5\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 750\text{ W} \times 3\text{ h} = 2.25\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 500\text{ W} \times 1\text{ h} = 0.5\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 2000\text{ W} \times 4\text{ h} = 8.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 1500\text{ W} \times 7\text{ h} = 10.5\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 1000\text{ W} \times 4\text{ h} = 4.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 1500\text{ W} \times 5\text{ h} = 7.5\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 100\text{ W} \times 7\text{ h} = 0.7\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 500\text{ W} \times 8\text{ h} = 4.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 500\text{ W} \times 6\text{ h} = 3.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 750\text{ W} \times 11\text{ h} = 8.25\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 3000\text{ W} \times 6\text{ h} = 18.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 1000\text{ W} \times 11\text{ h} = 11.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 2000\text{ W} \times 8\text{ h} = 16.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 750\text{ W} \times 12\text{ h} = 9.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 2000\text{ W} \times 5\text{ h} = 10.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 2000\text{ W} \times 12\text{ h} = 24.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 1000\text{ W} \times 9\text{ h} = 9.0\) kWh
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{44}{4.0} = 11.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{42}{5.0} = 8.4\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{27}{1.0} = 27.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{16}{0.25} = 64.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{34}{2.5} = 13.6\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{20}{2.0} = 10.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{6}{0.25} = 24.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{21}{0.5} = 42.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{7}{1.5} = 4.67\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{16}{3.0} = 5.33\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{42}{1.5} = 28.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{23}{0.1} = 230.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{22}{0.25} = 88.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{25}{0.5} = 50.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{21}{5.0} = 4.2\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{26}{0.25} = 104.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{23}{1.5} = 15.33\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{43}{2.0} = 21.5\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{19}{5.0} = 3.8\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{3}{5.0} = 0.6\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{33}{4.0} = 8.25\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{32}{1.5} = 21.33\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{27}{2.0} = 13.5\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{7}{0.25} = 28.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{19}{2.5} = 7.6\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{39}{0.1} = 390.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{16}{2.0} = 8.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{40}{0.1} = 400.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{2}{5.0} = 0.4\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{13}{0.5} = 26.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{44}{0.5} = 88.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{14}{0.1} = 140.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{30}{0.1} = 300.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{41}{5.0} = 8.2\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{30}{0.5} = 60.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{11}{2.5} = 4.4\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{4}{4.0} = 1.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{13}{0.25} = 52.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{8}{0.1} = 80.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{27}{3.0} = 9.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{47}{1.0} = 47.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{4}{1.5} = 2.67\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{33}{1.5} = 22.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{5}{0.25} = 20.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{22}{5.0} = 4.4\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{48}{3.0} = 16.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{35}{2.0} = 17.5\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{8}{1.0} = 8.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{45}{3.0} = 15.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{18}{2.5} = 7.2\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{38}{1.0} = 38.0\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Resistance
By Ohm's Law: \(V = IR\)
\(R = \frac{V}{I} = \frac{24}{0.5} = 48.0\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 13 + 11 = 24\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 50 + 2 = 52\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 27 + 15 = 42\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 7 + 45 = 52\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 26 + 23 = 49\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 17 + 6 = 23\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 5 + 48 = 53\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 20 + 16 = 36\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 28 + 46 = 74\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 34 + 46 = 80\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 13 + 29 = 42\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 16 + 18 = 34\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 16 + 2 = 18\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 30 + 28 = 58\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 47 + 4 = 51\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 23 + 49 = 72\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 42 + 38 = 80\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 20 + 19 = 39\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 10 + 26 = 36\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 33 + 5 = 38\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 28 + 34 = 62\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 25 + 40 = 65\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 23 + 34 = 57\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 3 + 23 = 26\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 25 + 36 = 61\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 35 + 13 = 48\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 14 + 23 = 37\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 48 + 46 = 94\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 48 + 35 = 83\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 6 + 31 = 37\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 12 + 10 = 22\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 40 + 19 = 59\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 5 + 29 = 34\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 9 + 43 = 52\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 19 + 18 = 37\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 14 + 25 = 39\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 5 + 41 = 46\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 24 + 24 = 48\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 22 + 37 = 59\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 2 + 49 = 51\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 32 + 29 = 61\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 10 + 34 = 44\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 37 + 23 = 60\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 36 + 36 = 72\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 36 + 38 = 74\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 21 + 41 = 62\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 42 + 30 = 72\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 42 + 25 = 67\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 38 + 13 = 51\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 27 + 36 = 63\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 30 + 35 = 65\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 4 + 36 = 40\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 49 + 2 = 51\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 47 + 36 = 83\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 25 + 37 = 62\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 48 + 32 = 80\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 49 + 7 = 56\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 30 + 7 = 37\;\Omega\)
Difficulty: Easy · Topic: Resistors in Series
For series: \(R_{total} = R_1 + R_2\)
\(= 50 + 32 = 82\;\Omega\)
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.25 \times 38 = 9.5\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 2.0 \times 78 = 156.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.25 \times 83 = 20.75\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 1.0 \times 3 = 3.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.2 \times 72 = 14.4\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 2.5 \times 35 = 87.5\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 5.0 \times 35 = 175.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 4.0 \times 25 = 100.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 1.0 \times 22 = 22.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.2 \times 52 = 10.4\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 3.0 \times 90 = 270.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 1.0 \times 75 = 75.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 2.0 \times 66 = 132.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 2.0 \times 60 = 120.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 1.0 \times 92 = 92.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 2.5 \times 34 = 85.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.2 \times 6 = 1.2\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 1.5 \times 14 = 21.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 5.0 \times 83 = 415.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 1.5 \times 50 = 75.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 2.5 \times 96 = 240.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 4.0 \times 99 = 396.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.25 \times 30 = 7.5\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 1.5 \times 80 = 120.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 5.0 \times 84 = 420.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 1.5 \times 5 = 7.5\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 5.0 \times 86 = 430.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 1.0 \times 62 = 62.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 1.5 \times 46 = 69.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.25 \times 82 = 20.5\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.2 \times 14 = 2.8\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 2.0 \times 41 = 82.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 4.0 \times 12 = 48.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 1.5 \times 20 = 30.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 2.5 \times 17 = 42.5\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 1.0 \times 7 = 7.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 2.0 \times 5 = 10.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 1.0 \times 97 = 97.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.25 \times 79 = 19.75\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.25 \times 21 = 5.25\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 3.0 \times 48 = 144.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.2 \times 81 = 16.2\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.25 \times 3 = 0.75\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 2.5 \times 48 = 120.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 2.5 \times 45 = 112.5\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.2 \times 67 = 13.4\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.2 \times 39 = 7.8\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 2.0 \times 15 = 30.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 2.5 \times 63 = 157.5\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.5 \times 28 = 14.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 5.0 \times 44 = 220.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 1.5 \times 68 = 102.0\) V
Difficulty: Easy · Topic: Ohm's Law - Finding Voltage
By Ohm's Law: \(V = IR\)
\(V = 0.25 \times 9 = 2.25\) V
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 2000\text{ W} \times 3\text{ h} = 6.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 750\text{ W} \times 10\text{ h} = 7.5\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 500\text{ W} \times 7\text{ h} = 3.5\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 500\text{ W} \times 4\text{ h} = 2.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 2000\text{ W} \times 1\text{ h} = 2.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 3000\text{ W} \times 12\text{ h} = 36.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 750\text{ W} \times 9\text{ h} = 6.75\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 500\text{ W} \times 5\text{ h} = 2.5\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 100\text{ W} \times 8\text{ h} = 0.8\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 200\text{ W} \times 10\text{ h} = 2.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 1000\text{ W} \times 3\text{ h} = 3.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 1000\text{ W} \times 12\text{ h} = 12.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 1000\text{ W} \times 10\text{ h} = 10.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 1000\text{ W} \times 5\text{ h} = 5.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 2000\text{ W} \times 2\text{ h} = 4.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 100\text{ W} \times 4\text{ h} = 0.4\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 2000\text{ W} \times 10\text{ h} = 20.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 200\text{ W} \times 11\text{ h} = 2.2\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 1000\text{ W} \times 1\text{ h} = 1.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 750\text{ W} \times 5\text{ h} = 3.75\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 2000\text{ W} \times 11\text{ h} = 22.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 500\text{ W} \times 9\text{ h} = 4.5\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 3000\text{ W} \times 7\text{ h} = 21.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 1000\text{ W} \times 7\text{ h} = 7.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 1500\text{ W} \times 2\text{ h} = 3.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 1500\text{ W} \times 4\text{ h} = 6.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 3000\text{ W} \times 11\text{ h} = 33.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 750\text{ W} \times 8\text{ h} = 6.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 200\text{ W} \times 4\text{ h} = 0.8\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 100\text{ W} \times 2\text{ h} = 0.2\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 1000\text{ W} \times 6\text{ h} = 6.0\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 100\text{ W} \times 6\text{ h} = 0.6\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 100\text{ W} \times 12\text{ h} = 1.2\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 100\text{ W} \times 3\text{ h} = 0.3\) kWh
Difficulty: Easy · Topic: Electrical Energy from Power and Time
Energy = Power x Time
\(= 2000\text{ W} \times 9\text{ h} = 18.0\) kWh
Difficulty: Easy-Medium · Topic: Electric Current
Given: Q = 150 C, t = 1 min = 60 s
Formula: I = Q/t
I = 150/60 = 2.5 A
Difficulty: Easy-Medium · Topic: Potential Difference
Given: Q = 4 C, V = 12 V
Formula: V = W/Q, so W = VQ
W = 12 × 4 = 48 J
48 joules of work is done (or 48 J of energy is transferred) in moving 4 C of charge across a potential difference of 12 V.
Difficulty: Easy-Medium · Topic: Ohm's Law
For an ohmic conductor (one that obeys Ohm's law), V is directly proportional to I at constant temperature. The graph of V vs I is a straight line passing through the origin. The slope of this line equals the resistance R. If the line is steeper, the resistance is higher.
Difficulty: Easy-Medium · Topic: Ohm's Law
Given: R = 20 Ω, V = 100 V
Using Ohm's law: V = IR
I = V/R = 100/20 = 5 A
Difficulty: Easy-Medium · Topic: Ohm's Law
Ohm's Law: At constant temperature, the current flowing through a conductor is directly proportional to the potential difference applied across its ends.
V ∝ I (at constant temperature)
V = IR, where R is the resistance of the conductor.
Limitations:
Difficulty: Easy-Medium · Topic: Resistivity
Alloys like nichrome and constantan are used in heating devices because they have:
Difficulty: Easy-Medium · Topic: Resistors in Series
In a series circuit, there is only one path for current to flow. If any component breaks, the circuit is broken and current stops flowing through all components. This is a disadvantage of series connections. In parallel circuits, each component has its own path, so other components continue working even if one fails.
Difficulty: Easy-Medium · Topic: Electric Power
1 kWh = 1 kilowatt × 1 hour
= 1000 W × 3600 s
= 1000 × 3600 J
= 3.6 × 10⁶ J = 3.6 MJ
Difficulty: Easy-Medium · Topic: Heating Effect
An electric fuse is a safety device that protects electrical circuits and appliances from excessive current (overcurrent) or short circuits.
Construction: It consists of a short piece of wire made of a material with a low melting point (such as tin or an alloy of tin and lead). The fuse wire is connected in series with the circuit.
Working principle: The fuse works on the heating effect of electric current (Joule heating, H = I²Rt).
Difficulty: Easy-Medium · Topic: Electric Current
An ammeter measures current and must be connected in series so that all the current flowing through the circuit passes through it. It has very low resistance to avoid significantly affecting the circuit. A voltmeter, on the other hand, is connected in parallel. Connecting an ammeter in parallel would create a short circuit (due to its very low resistance) and could damage the instrument.
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{8 \times 3}{8+3} = 2.18\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{24 \times 28}{24+28} = 12.92\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{26 \times 42}{26+42} = 16.06\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{33 \times 7}{33+7} = 5.78\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{22 \times 13}{22+13} = 8.17\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{8 \times 25}{8+25} = 6.06\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{27 \times 21}{27+21} = 11.81\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{28 \times 28}{28+28} = 14.0\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{10 \times 34}{10+34} = 7.73\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{18 \times 13}{18+13} = 7.55\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{20 \times 6}{20+6} = 4.62\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{32 \times 49}{32+49} = 19.36\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{47 \times 37}{47+37} = 20.7\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{7 \times 24}{7+24} = 5.42\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{2 \times 10}{2+10} = 1.67\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{48 \times 32}{48+32} = 19.2\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{50 \times 13}{50+13} = 10.32\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{41 \times 44}{41+44} = 21.22\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{38 \times 37}{38+37} = 18.75\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{25 \times 10}{25+10} = 7.14\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{23 \times 4}{23+4} = 3.41\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{10 \times 2}{10+2} = 1.67\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{2 \times 4}{2+4} = 1.33\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{12 \times 9}{12+9} = 5.14\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{25 \times 50}{25+50} = 16.67\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{23 \times 13}{23+13} = 8.31\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{50 \times 31}{50+31} = 19.14\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{24 \times 9}{24+9} = 6.55\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{33 \times 12}{33+12} = 8.8\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{12 \times 3}{12+3} = 2.4\;\Omega\)
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{500}{220} = 2.27\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{2000}{240} = 8.33\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{500}{240} = 2.08\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{750}{230} = 3.26\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{200}{220} = 0.91\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{200}{240} = 0.83\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{100}{230} = 0.43\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{750}{110} = 6.82\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{60}{110} = 0.55\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{200}{110} = 1.82\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{2000}{230} = 8.7\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{1000}{110} = 9.09\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{1500}{230} = 6.52\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{100}{240} = 0.42\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{40}{240} = 0.17\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{40}{220} = 0.18\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{1000}{240} = 4.17\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{1500}{240} = 6.25\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{1000}{230} = 4.35\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{1500}{220} = 6.82\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{60}{220} = 0.27\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{1000}{220} = 4.55\) A
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 2000\text{ W} \times 8\text{ h/day} \times 20\text{ days}\)
\(= 2000 \times 8 \times 20 = \) ... Wh
In kWh: divide by 1000 \(= 320.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 500\text{ W} \times 2\text{ h/day} \times 20\text{ days}\)
\(= 500 \times 2 \times 20 = \) ... Wh
In kWh: divide by 1000 \(= 20.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 3000\text{ W} \times 5\text{ h/day} \times 21\text{ days}\)
\(= 3000 \times 5 \times 21 = \) ... Wh
In kWh: divide by 1000 \(= 315.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 3000\text{ W} \times 3\text{ h/day} \times 7\text{ days}\)
\(= 3000 \times 3 \times 7 = \) ... Wh
In kWh: divide by 1000 \(= 63.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1000\text{ W} \times 8\text{ h/day} \times 6\text{ days}\)
\(= 1000 \times 8 \times 6 = \) ... Wh
In kWh: divide by 1000 \(= 48.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 3000\text{ W} \times 7\text{ h/day} \times 23\text{ days}\)
\(= 3000 \times 7 \times 23 = \) ... Wh
In kWh: divide by 1000 \(= 483.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 3000\text{ W} \times 4\text{ h/day} \times 8\text{ days}\)
\(= 3000 \times 4 \times 8 = \) ... Wh
In kWh: divide by 1000 \(= 96.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1000\text{ W} \times 6\text{ h/day} \times 9\text{ days}\)
\(= 1000 \times 6 \times 9 = \) ... Wh
In kWh: divide by 1000 \(= 54.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1000\text{ W} \times 4\text{ h/day} \times 11\text{ days}\)
\(= 1000 \times 4 \times 11 = \) ... Wh
In kWh: divide by 1000 \(= 44.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 3000\text{ W} \times 5\text{ h/day} \times 25\text{ days}\)
\(= 3000 \times 5 \times 25 = \) ... Wh
In kWh: divide by 1000 \(= 375.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1000\text{ W} \times 5\text{ h/day} \times 6\text{ days}\)
\(= 1000 \times 5 \times 6 = \) ... Wh
In kWh: divide by 1000 \(= 30.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 3000\text{ W} \times 8\text{ h/day} \times 6\text{ days}\)
\(= 3000 \times 8 \times 6 = \) ... Wh
In kWh: divide by 1000 \(= 144.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 3000\text{ W} \times 1\text{ h/day} \times 15\text{ days}\)
\(= 3000 \times 1 \times 15 = \) ... Wh
In kWh: divide by 1000 \(= 45.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1500\text{ W} \times 2\text{ h/day} \times 9\text{ days}\)
\(= 1500 \times 2 \times 9 = \) ... Wh
In kWh: divide by 1000 \(= 27.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 3000\text{ W} \times 2\text{ h/day} \times 19\text{ days}\)
\(= 3000 \times 2 \times 19 = \) ... Wh
In kWh: divide by 1000 \(= 114.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1500\text{ W} \times 6\text{ h/day} \times 18\text{ days}\)
\(= 1500 \times 6 \times 18 = \) ... Wh
In kWh: divide by 1000 \(= 162.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 2500\text{ W} \times 3\text{ h/day} \times 21\text{ days}\)
\(= 2500 \times 3 \times 21 = \) ... Wh
In kWh: divide by 1000 \(= 157.5\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1000\text{ W} \times 6\text{ h/day} \times 23\text{ days}\)
\(= 1000 \times 6 \times 23 = \) ... Wh
In kWh: divide by 1000 \(= 138.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1000\text{ W} \times 5\text{ h/day} \times 19\text{ days}\)
\(= 1000 \times 5 \times 19 = \) ... Wh
In kWh: divide by 1000 \(= 95.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 500\text{ W} \times 7\text{ h/day} \times 17\text{ days}\)
\(= 500 \times 7 \times 17 = \) ... Wh
In kWh: divide by 1000 \(= 59.5\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 2500\text{ W} \times 2\text{ h/day} \times 10\text{ days}\)
\(= 2500 \times 2 \times 10 = \) ... Wh
In kWh: divide by 1000 \(= 50.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 3000\text{ W} \times 2\text{ h/day} \times 16\text{ days}\)
\(= 3000 \times 2 \times 16 = \) ... Wh
In kWh: divide by 1000 \(= 96.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 500\text{ W} \times 4\text{ h/day} \times 14\text{ days}\)
\(= 500 \times 4 \times 14 = \) ... Wh
In kWh: divide by 1000 \(= 28.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1500\text{ W} \times 6\text{ h/day} \times 28\text{ days}\)
\(= 1500 \times 6 \times 28 = \) ... Wh
In kWh: divide by 1000 \(= 252.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 2000\text{ W} \times 7\text{ h/day} \times 11\text{ days}\)
\(= 2000 \times 7 \times 11 = \) ... Wh
In kWh: divide by 1000 \(= 154.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 2500\text{ W} \times 4\text{ h/day} \times 8\text{ days}\)
\(= 2500 \times 4 \times 8 = \) ... Wh
In kWh: divide by 1000 \(= 80.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1000\text{ W} \times 2\text{ h/day} \times 10\text{ days}\)
\(= 1000 \times 2 \times 10 = \) ... Wh
In kWh: divide by 1000 \(= 20.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 3000\text{ W} \times 1\text{ h/day} \times 8\text{ days}\)
\(= 3000 \times 1 \times 8 = \) ... Wh
In kWh: divide by 1000 \(= 24.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 500\text{ W} \times 5\text{ h/day} \times 28\text{ days}\)
\(= 500 \times 5 \times 28 = \) ... Wh
In kWh: divide by 1000 \(= 70.0\) kWh
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (4.0)^2 \times 38 \times 27 = 16416.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (1.0)^2 \times 28 \times 64 = 1792.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (4.0)^2 \times 24 \times 35 = 13440.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (5.0)^2 \times 13 \times 87 = 28275.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (4.0)^2 \times 44 \times 32 = 22528.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (3.0)^2 \times 14 \times 36 = 4536.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (1.0)^2 \times 23 \times 19 = 437.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (2.0)^2 \times 8 \times 39 = 1248.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (3.0)^2 \times 22 \times 53 = 10494.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (5.0)^2 \times 42 \times 77 = 80850.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (5.0)^2 \times 22 \times 66 = 36300.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (0.5)^2 \times 47 \times 13 = 152.75\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (1.0)^2 \times 40 \times 34 = 1360.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (0.5)^2 \times 13 \times 18 = 58.5\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (2.0)^2 \times 45 \times 74 = 13320.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (2.0)^2 \times 41 \times 55 = 9020.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (1.0)^2 \times 38 \times 119 = 4522.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (0.5)^2 \times 32 \times 23 = 184.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (2.0)^2 \times 28 \times 96 = 10752.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (0.5)^2 \times 38 \times 59 = 560.5\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (1.0)^2 \times 7 \times 78 = 546.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (4.0)^2 \times 36 \times 110 = 63360.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (5.0)^2 \times 15 \times 46 = 17250.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (5.0)^2 \times 6 \times 106 = 15900.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (5.0)^2 \times 40 \times 18 = 18000.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (5.0)^2 \times 23 \times 53 = 30475.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (5.0)^2 \times 9 \times 99 = 22275.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (2.0)^2 \times 42 \times 64 = 10752.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (3.0)^2 \times 6 \times 49 = 2646.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (5.0)^2 \times 33 \times 64 = 52800.0\) J
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.1 mm^2 = 0.1 x 10^-6 m^2
\(\rho = \frac{35 \times 0.1 \times 10^{-6}}{2} = 1.75e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.25 mm^2 = 0.25 x 10^-6 m^2
\(\rho = \frac{41 \times 0.25 \times 10^{-6}}{5} = 2.05e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.5 mm^2 = 0.5 x 10^-6 m^2
\(\rho = \frac{11 \times 0.5 \times 10^{-6}}{3} = 1.83e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 2.0 mm^2 = 2.0 x 10^-6 m^2
\(\rho = \frac{10 \times 2.0 \times 10^{-6}}{0.5} = 4.00e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.0 mm^2 = 1.0 x 10^-6 m^2
\(\rho = \frac{35 \times 1.0 \times 10^{-6}}{2} = 1.75e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.5 mm^2 = 1.5 x 10^-6 m^2
\(\rho = \frac{8 \times 1.5 \times 10^{-6}}{5} = 2.40e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.25 mm^2 = 0.25 x 10^-6 m^2
\(\rho = \frac{5 \times 0.25 \times 10^{-6}}{2} = 6.25e-07\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.5 mm^2 = 1.5 x 10^-6 m^2
\(\rho = \frac{11 \times 1.5 \times 10^{-6}}{1} = 1.65e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.25 mm^2 = 0.25 x 10^-6 m^2
\(\rho = \frac{41 \times 0.25 \times 10^{-6}}{0.5} = 2.05e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 2.0 mm^2 = 2.0 x 10^-6 m^2
\(\rho = \frac{48 \times 2.0 \times 10^{-6}}{0.5} = 1.92e-04\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.5 mm^2 = 1.5 x 10^-6 m^2
\(\rho = \frac{34 \times 1.5 \times 10^{-6}}{5} = 1.02e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.0 mm^2 = 1.0 x 10^-6 m^2
\(\rho = \frac{4 \times 1.0 \times 10^{-6}}{10} = 4.00e-07\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.25 mm^2 = 0.25 x 10^-6 m^2
\(\rho = \frac{30 \times 0.25 \times 10^{-6}}{1} = 7.50e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.5 mm^2 = 1.5 x 10^-6 m^2
\(\rho = \frac{24 \times 1.5 \times 10^{-6}}{1} = 3.60e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.5 mm^2 = 1.5 x 10^-6 m^2
\(\rho = \frac{48 \times 1.5 \times 10^{-6}}{5} = 1.44e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.25 mm^2 = 0.25 x 10^-6 m^2
\(\rho = \frac{29 \times 0.25 \times 10^{-6}}{5} = 1.45e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 2.0 mm^2 = 2.0 x 10^-6 m^2
\(\rho = \frac{47 \times 2.0 \times 10^{-6}}{1} = 9.40e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.5 mm^2 = 0.5 x 10^-6 m^2
\(\rho = \frac{36 \times 0.5 \times 10^{-6}}{5} = 3.60e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.1 mm^2 = 0.1 x 10^-6 m^2
\(\rho = \frac{18 \times 0.1 \times 10^{-6}}{3} = 6.00e-07\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.1 mm^2 = 0.1 x 10^-6 m^2
\(\rho = \frac{33 \times 0.1 \times 10^{-6}}{10} = 3.30e-07\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 2.0 mm^2 = 2.0 x 10^-6 m^2
\(\rho = \frac{36 \times 2.0 \times 10^{-6}}{1} = 7.20e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 2.0 mm^2 = 2.0 x 10^-6 m^2
\(\rho = \frac{31 \times 2.0 \times 10^{-6}}{0.5} = 1.24e-04\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.5 mm^2 = 0.5 x 10^-6 m^2
\(\rho = \frac{23 \times 0.5 \times 10^{-6}}{10} = 1.15e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.0 mm^2 = 1.0 x 10^-6 m^2
\(\rho = \frac{36 \times 1.0 \times 10^{-6}}{3} = 1.20e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.0 mm^2 = 1.0 x 10^-6 m^2
\(\rho = \frac{22 \times 1.0 \times 10^{-6}}{5} = 4.40e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.1 mm^2 = 0.1 x 10^-6 m^2
\(\rho = \frac{37 \times 0.1 \times 10^{-6}}{0.5} = 7.40e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 2.0 mm^2 = 2.0 x 10^-6 m^2
\(\rho = \frac{20 \times 2.0 \times 10^{-6}}{2} = 2.00e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 2.0 mm^2 = 2.0 x 10^-6 m^2
\(\rho = \frac{46 \times 2.0 \times 10^{-6}}{3} = 3.07e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 2.0 mm^2 = 2.0 x 10^-6 m^2
\(\rho = \frac{13 \times 2.0 \times 10^{-6}}{2} = 1.30e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.5 mm^2 = 1.5 x 10^-6 m^2
\(\rho = \frac{24 \times 1.5 \times 10^{-6}}{3} = 1.20e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{49 \times 37}{49+37} = 21.08\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{16 \times 27}{16+27} = 10.05\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{39 \times 24}{39+24} = 14.86\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{9 \times 15}{9+15} = 5.62\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{18 \times 38}{18+38} = 12.21\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{36 \times 45}{36+45} = 20.0\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{34 \times 29}{34+29} = 15.65\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{18 \times 11}{18+11} = 6.83\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{8 \times 13}{8+13} = 4.95\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{27 \times 2}{27+2} = 1.86\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{31 \times 27}{31+27} = 14.43\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{41 \times 20}{41+20} = 13.44\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{25 \times 41}{25+41} = 15.53\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{6 \times 5}{6+5} = 2.73\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{39 \times 9}{39+9} = 7.31\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{50 \times 30}{50+30} = 18.75\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{7 \times 5}{7+5} = 2.92\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{40 \times 20}{40+20} = 13.33\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{22 \times 48}{22+48} = 15.09\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{38 \times 18}{38+18} = 12.21\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{29 \times 31}{29+31} = 14.98\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{21 \times 33}{21+33} = 12.83\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{5 \times 40}{5+40} = 4.44\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{8 \times 36}{8+36} = 6.55\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{23 \times 45}{23+45} = 15.22\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{37 \times 27}{37+27} = 15.61\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{36 \times 42}{36+42} = 19.38\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{46 \times 38}{46+38} = 20.81\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{48 \times 16}{48+16} = 12.0\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{3 \times 13}{3+13} = 2.44\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{28 \times 49}{28+49} = 17.82\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{18 \times 36}{18+36} = 12.0\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{45 \times 49}{45+49} = 23.46\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{25 \times 8}{25+8} = 6.06\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{22 \times 49}{22+49} = 15.18\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{34 \times 6}{34+6} = 5.1\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{32 \times 42}{32+42} = 18.16\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{37 \times 24}{37+24} = 14.56\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{37 \times 42}{37+42} = 19.67\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{35 \times 44}{35+44} = 19.49\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{14 \times 18}{14+18} = 7.88\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{9 \times 39}{9+39} = 7.31\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{25 \times 38}{25+38} = 15.08\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{37 \times 45}{37+45} = 20.3\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{40 \times 10}{40+10} = 8.0\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{14 \times 21}{14+21} = 8.4\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{47 \times 29}{47+29} = 17.93\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{23 \times 26}{23+26} = 12.2\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{43 \times 23}{43+23} = 14.98\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{40 \times 16}{40+16} = 11.43\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{23 \times 35}{23+35} = 13.88\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{33 \times 3}{33+3} = 2.75\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{29 \times 15}{29+15} = 9.89\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{4 \times 13}{4+13} = 3.06\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{39 \times 12}{39+12} = 9.18\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{34 \times 46}{34+46} = 19.55\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{43 \times 37}{43+37} = 19.89\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{35 \times 41}{35+41} = 18.88\;\Omega\)
Difficulty: Easy-Medium · Topic: Resistors in Parallel
For parallel: \(\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{30 \times 13}{30+13} = 9.07\;\Omega\)
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{500}{110} = 4.55\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{750}{240} = 3.12\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{40}{110} = 0.36\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{200}{230} = 0.87\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{750}{220} = 3.41\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{40}{230} = 0.17\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{60}{230} = 0.26\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{2000}{220} = 9.09\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{2000}{110} = 18.18\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{100}{220} = 0.45\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{500}{230} = 2.17\) A
Difficulty: Easy-Medium · Topic: Electrical Power
\(P = VI\), so \(I = \frac{P}{V}\)
\(I = \frac{1500}{110} = 13.64\) A
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1000\text{ W} \times 1\text{ h/day} \times 29\text{ days}\)
\(= 1000 \times 1 \times 29 = \) ... Wh
In kWh: divide by 1000 \(= 29.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 2500\text{ W} \times 8\text{ h/day} \times 27\text{ days}\)
\(= 2500 \times 8 \times 27 = \) ... Wh
In kWh: divide by 1000 \(= 540.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 500\text{ W} \times 2\text{ h/day} \times 28\text{ days}\)
\(= 500 \times 2 \times 28 = \) ... Wh
In kWh: divide by 1000 \(= 28.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1000\text{ W} \times 1\text{ h/day} \times 9\text{ days}\)
\(= 1000 \times 1 \times 9 = \) ... Wh
In kWh: divide by 1000 \(= 9.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1000\text{ W} \times 3\text{ h/day} \times 21\text{ days}\)
\(= 1000 \times 3 \times 21 = \) ... Wh
In kWh: divide by 1000 \(= 63.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 3000\text{ W} \times 2\text{ h/day} \times 14\text{ days}\)
\(= 3000 \times 2 \times 14 = \) ... Wh
In kWh: divide by 1000 \(= 84.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 3000\text{ W} \times 3\text{ h/day} \times 26\text{ days}\)
\(= 3000 \times 3 \times 26 = \) ... Wh
In kWh: divide by 1000 \(= 234.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 2000\text{ W} \times 4\text{ h/day} \times 23\text{ days}\)
\(= 2000 \times 4 \times 23 = \) ... Wh
In kWh: divide by 1000 \(= 184.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 2500\text{ W} \times 1\text{ h/day} \times 15\text{ days}\)
\(= 2500 \times 1 \times 15 = \) ... Wh
In kWh: divide by 1000 \(= 37.5\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1500\text{ W} \times 6\text{ h/day} \times 26\text{ days}\)
\(= 1500 \times 6 \times 26 = \) ... Wh
In kWh: divide by 1000 \(= 234.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 3000\text{ W} \times 4\text{ h/day} \times 13\text{ days}\)
\(= 3000 \times 4 \times 13 = \) ... Wh
In kWh: divide by 1000 \(= 156.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1500\text{ W} \times 7\text{ h/day} \times 24\text{ days}\)
\(= 1500 \times 7 \times 24 = \) ... Wh
In kWh: divide by 1000 \(= 252.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1500\text{ W} \times 7\text{ h/day} \times 10\text{ days}\)
\(= 1500 \times 7 \times 10 = \) ... Wh
In kWh: divide by 1000 \(= 105.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 2000\text{ W} \times 7\text{ h/day} \times 21\text{ days}\)
\(= 2000 \times 7 \times 21 = \) ... Wh
In kWh: divide by 1000 \(= 294.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 500\text{ W} \times 5\text{ h/day} \times 13\text{ days}\)
\(= 500 \times 5 \times 13 = \) ... Wh
In kWh: divide by 1000 \(= 32.5\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1000\text{ W} \times 1\text{ h/day} \times 25\text{ days}\)
\(= 1000 \times 1 \times 25 = \) ... Wh
In kWh: divide by 1000 \(= 25.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 3000\text{ W} \times 4\text{ h/day} \times 30\text{ days}\)
\(= 3000 \times 4 \times 30 = \) ... Wh
In kWh: divide by 1000 \(= 360.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 2000\text{ W} \times 6\text{ h/day} \times 24\text{ days}\)
\(= 2000 \times 6 \times 24 = \) ... Wh
In kWh: divide by 1000 \(= 288.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 3000\text{ W} \times 8\text{ h/day} \times 8\text{ days}\)
\(= 3000 \times 8 \times 8 = \) ... Wh
In kWh: divide by 1000 \(= 192.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 3000\text{ W} \times 1\text{ h/day} \times 7\text{ days}\)
\(= 3000 \times 1 \times 7 = \) ... Wh
In kWh: divide by 1000 \(= 21.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 500\text{ W} \times 4\text{ h/day} \times 17\text{ days}\)
\(= 500 \times 4 \times 17 = \) ... Wh
In kWh: divide by 1000 \(= 34.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 500\text{ W} \times 1\text{ h/day} \times 22\text{ days}\)
\(= 500 \times 1 \times 22 = \) ... Wh
In kWh: divide by 1000 \(= 11.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 2000\text{ W} \times 6\text{ h/day} \times 26\text{ days}\)
\(= 2000 \times 6 \times 26 = \) ... Wh
In kWh: divide by 1000 \(= 312.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 3000\text{ W} \times 6\text{ h/day} \times 5\text{ days}\)
\(= 3000 \times 6 \times 5 = \) ... Wh
In kWh: divide by 1000 \(= 90.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 2000\text{ W} \times 3\text{ h/day} \times 9\text{ days}\)
\(= 2000 \times 3 \times 9 = \) ... Wh
In kWh: divide by 1000 \(= 54.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 2000\text{ W} \times 8\text{ h/day} \times 15\text{ days}\)
\(= 2000 \times 8 \times 15 = \) ... Wh
In kWh: divide by 1000 \(= 240.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1500\text{ W} \times 4\text{ h/day} \times 28\text{ days}\)
\(= 1500 \times 4 \times 28 = \) ... Wh
In kWh: divide by 1000 \(= 168.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 2000\text{ W} \times 8\text{ h/day} \times 21\text{ days}\)
\(= 2000 \times 8 \times 21 = \) ... Wh
In kWh: divide by 1000 \(= 336.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1000\text{ W} \times 2\text{ h/day} \times 22\text{ days}\)
\(= 1000 \times 2 \times 22 = \) ... Wh
In kWh: divide by 1000 \(= 44.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1000\text{ W} \times 5\text{ h/day} \times 11\text{ days}\)
\(= 1000 \times 5 \times 11 = \) ... Wh
In kWh: divide by 1000 \(= 55.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1500\text{ W} \times 3\text{ h/day} \times 12\text{ days}\)
\(= 1500 \times 3 \times 12 = \) ... Wh
In kWh: divide by 1000 \(= 54.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 3000\text{ W} \times 7\text{ h/day} \times 11\text{ days}\)
\(= 3000 \times 7 \times 11 = \) ... Wh
In kWh: divide by 1000 \(= 231.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 3000\text{ W} \times 2\text{ h/day} \times 24\text{ days}\)
\(= 3000 \times 2 \times 24 = \) ... Wh
In kWh: divide by 1000 \(= 144.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 2000\text{ W} \times 8\text{ h/day} \times 24\text{ days}\)
\(= 2000 \times 8 \times 24 = \) ... Wh
In kWh: divide by 1000 \(= 384.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 500\text{ W} \times 7\text{ h/day} \times 10\text{ days}\)
\(= 500 \times 7 \times 10 = \) ... Wh
In kWh: divide by 1000 \(= 35.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 3000\text{ W} \times 5\text{ h/day} \times 8\text{ days}\)
\(= 3000 \times 5 \times 8 = \) ... Wh
In kWh: divide by 1000 \(= 120.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1000\text{ W} \times 7\text{ h/day} \times 10\text{ days}\)
\(= 1000 \times 7 \times 10 = \) ... Wh
In kWh: divide by 1000 \(= 70.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1000\text{ W} \times 1\text{ h/day} \times 22\text{ days}\)
\(= 1000 \times 1 \times 22 = \) ... Wh
In kWh: divide by 1000 \(= 22.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 2000\text{ W} \times 7\text{ h/day} \times 27\text{ days}\)
\(= 2000 \times 7 \times 27 = \) ... Wh
In kWh: divide by 1000 \(= 378.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 3000\text{ W} \times 1\text{ h/day} \times 28\text{ days}\)
\(= 3000 \times 1 \times 28 = \) ... Wh
In kWh: divide by 1000 \(= 84.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1500\text{ W} \times 2\text{ h/day} \times 12\text{ days}\)
\(= 1500 \times 2 \times 12 = \) ... Wh
In kWh: divide by 1000 \(= 36.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1500\text{ W} \times 6\text{ h/day} \times 14\text{ days}\)
\(= 1500 \times 6 \times 14 = \) ... Wh
In kWh: divide by 1000 \(= 126.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1500\text{ W} \times 3\text{ h/day} \times 26\text{ days}\)
\(= 1500 \times 3 \times 26 = \) ... Wh
In kWh: divide by 1000 \(= 117.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 3000\text{ W} \times 4\text{ h/day} \times 18\text{ days}\)
\(= 3000 \times 4 \times 18 = \) ... Wh
In kWh: divide by 1000 \(= 216.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1000\text{ W} \times 4\text{ h/day} \times 22\text{ days}\)
\(= 1000 \times 4 \times 22 = \) ... Wh
In kWh: divide by 1000 \(= 88.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 3000\text{ W} \times 2\text{ h/day} \times 29\text{ days}\)
\(= 3000 \times 2 \times 29 = \) ... Wh
In kWh: divide by 1000 \(= 174.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 2000\text{ W} \times 7\text{ h/day} \times 13\text{ days}\)
\(= 2000 \times 7 \times 13 = \) ... Wh
In kWh: divide by 1000 \(= 182.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 2000\text{ W} \times 4\text{ h/day} \times 27\text{ days}\)
\(= 2000 \times 4 \times 27 = \) ... Wh
In kWh: divide by 1000 \(= 216.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 500\text{ W} \times 5\text{ h/day} \times 29\text{ days}\)
\(= 500 \times 5 \times 29 = \) ... Wh
In kWh: divide by 1000 \(= 72.5\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1500\text{ W} \times 6\text{ h/day} \times 13\text{ days}\)
\(= 1500 \times 6 \times 13 = \) ... Wh
In kWh: divide by 1000 \(= 117.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 2000\text{ W} \times 2\text{ h/day} \times 10\text{ days}\)
\(= 2000 \times 2 \times 10 = \) ... Wh
In kWh: divide by 1000 \(= 40.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 2000\text{ W} \times 6\text{ h/day} \times 7\text{ days}\)
\(= 2000 \times 6 \times 7 = \) ... Wh
In kWh: divide by 1000 \(= 84.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1000\text{ W} \times 5\text{ h/day} \times 14\text{ days}\)
\(= 1000 \times 5 \times 14 = \) ... Wh
In kWh: divide by 1000 \(= 70.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 500\text{ W} \times 8\text{ h/day} \times 5\text{ days}\)
\(= 500 \times 8 \times 5 = \) ... Wh
In kWh: divide by 1000 \(= 20.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1500\text{ W} \times 1\text{ h/day} \times 15\text{ days}\)
\(= 1500 \times 1 \times 15 = \) ... Wh
In kWh: divide by 1000 \(= 22.5\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 1500\text{ W} \times 2\text{ h/day} \times 19\text{ days}\)
\(= 1500 \times 2 \times 19 = \) ... Wh
In kWh: divide by 1000 \(= 57.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 3000\text{ W} \times 4\text{ h/day} \times 14\text{ days}\)
\(= 3000 \times 4 \times 14 = \) ... Wh
In kWh: divide by 1000 \(= 168.0\) kWh
Difficulty: Easy-Medium · Topic: Electrical Energy (kWh)
Energy = Power x Time
\(= 2500\text{ W} \times 7\text{ h/day} \times 24\text{ days}\)
\(= 2500 \times 7 \times 24 = \) ... Wh
In kWh: divide by 1000 \(= 420.0\) kWh
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (3.0)^2 \times 15 \times 83 = 11205.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (5.0)^2 \times 5 \times 74 = 9250.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (4.0)^2 \times 32 \times 55 = 28160.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (1.0)^2 \times 43 \times 84 = 3612.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (2.0)^2 \times 47 \times 54 = 10152.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (1.0)^2 \times 38 \times 20 = 760.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (1.0)^2 \times 39 \times 100 = 3900.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (5.0)^2 \times 47 \times 20 = 23500.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (4.0)^2 \times 23 \times 46 = 16928.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (0.5)^2 \times 24 \times 72 = 432.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (0.5)^2 \times 20 \times 27 = 135.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (2.0)^2 \times 30 \times 94 = 11280.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (3.0)^2 \times 8 \times 74 = 5328.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (2.0)^2 \times 46 \times 108 = 19872.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (2.0)^2 \times 19 \times 72 = 5472.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (3.0)^2 \times 8 \times 21 = 1512.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (0.5)^2 \times 37 \times 64 = 592.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (3.0)^2 \times 50 \times 95 = 42750.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (2.0)^2 \times 15 \times 112 = 6720.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (4.0)^2 \times 24 \times 81 = 31104.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (4.0)^2 \times 40 \times 52 = 33280.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (1.0)^2 \times 49 \times 104 = 5096.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (2.0)^2 \times 46 \times 18 = 3312.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (3.0)^2 \times 37 \times 69 = 22977.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (2.0)^2 \times 29 \times 99 = 11484.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (5.0)^2 \times 44 \times 57 = 62700.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (1.0)^2 \times 22 \times 76 = 1672.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (3.0)^2 \times 26 \times 88 = 20592.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (0.5)^2 \times 42 \times 113 = 1186.5\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (4.0)^2 \times 34 \times 43 = 23392.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (1.0)^2 \times 14 \times 108 = 1512.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (0.5)^2 \times 6 \times 91 = 136.5\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (3.0)^2 \times 7 \times 42 = 2646.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (2.0)^2 \times 30 \times 67 = 8040.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (5.0)^2 \times 24 \times 100 = 60000.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (3.0)^2 \times 46 \times 116 = 48024.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (5.0)^2 \times 33 \times 47 = 38775.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (1.0)^2 \times 7 \times 83 = 581.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (2.0)^2 \times 9 \times 39 = 1404.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (5.0)^2 \times 25 \times 65 = 40625.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (5.0)^2 \times 9 \times 70 = 15750.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (2.0)^2 \times 27 \times 92 = 9936.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (5.0)^2 \times 9 \times 115 = 25875.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (5.0)^2 \times 14 \times 118 = 41300.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (1.0)^2 \times 44 \times 14 = 616.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (2.0)^2 \times 17 \times 57 = 3876.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (2.0)^2 \times 32 \times 69 = 8832.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (4.0)^2 \times 34 \times 85 = 46240.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (5.0)^2 \times 40 \times 50 = 50000.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (0.5)^2 \times 14 \times 96 = 336.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (0.5)^2 \times 48 \times 52 = 624.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (2.0)^2 \times 32 \times 92 = 11776.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (1.0)^2 \times 7 \times 52 = 364.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (3.0)^2 \times 21 \times 54 = 10206.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (0.5)^2 \times 26 \times 97 = 630.5\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (2.0)^2 \times 43 \times 74 = 12728.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (2.0)^2 \times 9 \times 60 = 2160.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (0.5)^2 \times 27 \times 70 = 472.5\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (0.5)^2 \times 49 \times 52 = 637.0\) J
Difficulty: Easy-Medium · Topic: Joule's Law of Heating (H=I^2Rt)
\(H = I^2 R t = (4.0)^2 \times 30 \times 73 = 35040.0\) J
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 2.0 mm^2 = 2.0 x 10^-6 m^2
\(\rho = \frac{28 \times 2.0 \times 10^{-6}}{0.5} = 1.12e-04\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.1 mm^2 = 0.1 x 10^-6 m^2
\(\rho = \frac{18 \times 0.1 \times 10^{-6}}{5} = 3.60e-07\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 2.0 mm^2 = 2.0 x 10^-6 m^2
\(\rho = \frac{42 \times 2.0 \times 10^{-6}}{5} = 1.68e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.5 mm^2 = 1.5 x 10^-6 m^2
\(\rho = \frac{37 \times 1.5 \times 10^{-6}}{0.5} = 1.11e-04\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.1 mm^2 = 0.1 x 10^-6 m^2
\(\rho = \frac{29 \times 0.1 \times 10^{-6}}{0.5} = 5.80e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.5 mm^2 = 1.5 x 10^-6 m^2
\(\rho = \frac{10 \times 1.5 \times 10^{-6}}{1} = 1.50e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.5 mm^2 = 1.5 x 10^-6 m^2
\(\rho = \frac{44 \times 1.5 \times 10^{-6}}{5} = 1.32e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.5 mm^2 = 0.5 x 10^-6 m^2
\(\rho = \frac{23 \times 0.5 \times 10^{-6}}{1} = 1.15e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 2.0 mm^2 = 2.0 x 10^-6 m^2
\(\rho = \frac{11 \times 2.0 \times 10^{-6}}{3} = 7.33e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.5 mm^2 = 0.5 x 10^-6 m^2
\(\rho = \frac{7 \times 0.5 \times 10^{-6}}{10} = 3.50e-07\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.25 mm^2 = 0.25 x 10^-6 m^2
\(\rho = \frac{48 \times 0.25 \times 10^{-6}}{3} = 4.00e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.0 mm^2 = 1.0 x 10^-6 m^2
\(\rho = \frac{21 \times 1.0 \times 10^{-6}}{1} = 2.10e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.0 mm^2 = 1.0 x 10^-6 m^2
\(\rho = \frac{28 \times 1.0 \times 10^{-6}}{0.5} = 5.60e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.5 mm^2 = 0.5 x 10^-6 m^2
\(\rho = \frac{33 \times 0.5 \times 10^{-6}}{5} = 3.30e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.0 mm^2 = 1.0 x 10^-6 m^2
\(\rho = \frac{5 \times 1.0 \times 10^{-6}}{1} = 5.00e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.1 mm^2 = 0.1 x 10^-6 m^2
\(\rho = \frac{9 \times 0.1 \times 10^{-6}}{3} = 3.00e-07\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 2.0 mm^2 = 2.0 x 10^-6 m^2
\(\rho = \frac{10 \times 2.0 \times 10^{-6}}{1} = 2.00e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.25 mm^2 = 0.25 x 10^-6 m^2
\(\rho = \frac{31 \times 0.25 \times 10^{-6}}{1} = 7.75e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.5 mm^2 = 1.5 x 10^-6 m^2
\(\rho = \frac{25 \times 1.5 \times 10^{-6}}{5} = 7.50e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.5 mm^2 = 0.5 x 10^-6 m^2
\(\rho = \frac{21 \times 0.5 \times 10^{-6}}{2} = 5.25e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.5 mm^2 = 1.5 x 10^-6 m^2
\(\rho = \frac{18 \times 1.5 \times 10^{-6}}{5} = 5.40e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.5 mm^2 = 1.5 x 10^-6 m^2
\(\rho = \frac{15 \times 1.5 \times 10^{-6}}{2} = 1.12e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.5 mm^2 = 1.5 x 10^-6 m^2
\(\rho = \frac{2 \times 1.5 \times 10^{-6}}{1} = 3.00e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.25 mm^2 = 0.25 x 10^-6 m^2
\(\rho = \frac{42 \times 0.25 \times 10^{-6}}{10} = 1.05e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 2.0 mm^2 = 2.0 x 10^-6 m^2
\(\rho = \frac{30 \times 2.0 \times 10^{-6}}{2} = 3.00e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.5 mm^2 = 1.5 x 10^-6 m^2
\(\rho = \frac{40 \times 1.5 \times 10^{-6}}{2} = 3.00e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.1 mm^2 = 0.1 x 10^-6 m^2
\(\rho = \frac{7 \times 0.1 \times 10^{-6}}{5} = 1.40e-07\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.5 mm^2 = 1.5 x 10^-6 m^2
\(\rho = \frac{25 \times 1.5 \times 10^{-6}}{10} = 3.75e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 2.0 mm^2 = 2.0 x 10^-6 m^2
\(\rho = \frac{28 \times 2.0 \times 10^{-6}}{5} = 1.12e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 2.0 mm^2 = 2.0 x 10^-6 m^2
\(\rho = \frac{9 \times 2.0 \times 10^{-6}}{2} = 9.00e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.25 mm^2 = 0.25 x 10^-6 m^2
\(\rho = \frac{3 \times 0.25 \times 10^{-6}}{1} = 7.50e-07\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.1 mm^2 = 0.1 x 10^-6 m^2
\(\rho = \frac{7 \times 0.1 \times 10^{-6}}{1} = 7.00e-07\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.25 mm^2 = 0.25 x 10^-6 m^2
\(\rho = \frac{37 \times 0.25 \times 10^{-6}}{3} = 3.08e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.5 mm^2 = 0.5 x 10^-6 m^2
\(\rho = \frac{28 \times 0.5 \times 10^{-6}}{1} = 1.40e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.0 mm^2 = 1.0 x 10^-6 m^2
\(\rho = \frac{13 \times 1.0 \times 10^{-6}}{10} = 1.30e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.1 mm^2 = 0.1 x 10^-6 m^2
\(\rho = \frac{34 \times 0.1 \times 10^{-6}}{3} = 1.13e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.25 mm^2 = 0.25 x 10^-6 m^2
\(\rho = \frac{9 \times 0.25 \times 10^{-6}}{3} = 7.50e-07\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.1 mm^2 = 0.1 x 10^-6 m^2
\(\rho = \frac{43 \times 0.1 \times 10^{-6}}{5} = 8.60e-07\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.5 mm^2 = 1.5 x 10^-6 m^2
\(\rho = \frac{5 \times 1.5 \times 10^{-6}}{0.5} = 1.50e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.0 mm^2 = 1.0 x 10^-6 m^2
\(\rho = \frac{49 \times 1.0 \times 10^{-6}}{3} = 1.63e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.25 mm^2 = 0.25 x 10^-6 m^2
\(\rho = \frac{42 \times 0.25 \times 10^{-6}}{1} = 1.05e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 2.0 mm^2 = 2.0 x 10^-6 m^2
\(\rho = \frac{31 \times 2.0 \times 10^{-6}}{5} = 1.24e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.5 mm^2 = 0.5 x 10^-6 m^2
\(\rho = \frac{41 \times 0.5 \times 10^{-6}}{1} = 2.05e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.5 mm^2 = 1.5 x 10^-6 m^2
\(\rho = \frac{14 \times 1.5 \times 10^{-6}}{0.5} = 4.20e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 2.0 mm^2 = 2.0 x 10^-6 m^2
\(\rho = \frac{45 \times 2.0 \times 10^{-6}}{1} = 9.00e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.1 mm^2 = 0.1 x 10^-6 m^2
\(\rho = \frac{27 \times 0.1 \times 10^{-6}}{10} = 2.70e-07\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.0 mm^2 = 1.0 x 10^-6 m^2
\(\rho = \frac{33 \times 1.0 \times 10^{-6}}{1} = 3.30e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.5 mm^2 = 1.5 x 10^-6 m^2
\(\rho = \frac{48 \times 1.5 \times 10^{-6}}{0.5} = 1.44e-04\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.25 mm^2 = 0.25 x 10^-6 m^2
\(\rho = \frac{33 \times 0.25 \times 10^{-6}}{2} = 4.12e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.0 mm^2 = 1.0 x 10^-6 m^2
\(\rho = \frac{39 \times 1.0 \times 10^{-6}}{1} = 3.90e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.1 mm^2 = 0.1 x 10^-6 m^2
\(\rho = \frac{40 \times 0.1 \times 10^{-6}}{1} = 4.00e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.0 mm^2 = 1.0 x 10^-6 m^2
\(\rho = \frac{13 \times 1.0 \times 10^{-6}}{0.5} = 2.60e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.1 mm^2 = 0.1 x 10^-6 m^2
\(\rho = \frac{22 \times 0.1 \times 10^{-6}}{5} = 4.40e-07\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.25 mm^2 = 0.25 x 10^-6 m^2
\(\rho = \frac{35 \times 0.25 \times 10^{-6}}{10} = 8.75e-07\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 0.5 mm^2 = 0.5 x 10^-6 m^2
\(\rho = \frac{20 \times 0.5 \times 10^{-6}}{3} = 3.33e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.5 mm^2 = 1.5 x 10^-6 m^2
\(\rho = \frac{11 \times 1.5 \times 10^{-6}}{3} = 5.50e-06\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 2.0 mm^2 = 2.0 x 10^-6 m^2
\(\rho = \frac{34 \times 2.0 \times 10^{-6}}{3} = 2.27e-05\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 2.0 mm^2 = 2.0 x 10^-6 m^2
\(\rho = \frac{27 \times 2.0 \times 10^{-6}}{0.5} = 1.08e-04\) ohm.m
Difficulty: Easy-Medium · Topic: Resistivity of a material
\(R = \rho \frac{l}{A}\), so \(\rho = \frac{RA}{l}\)
A = 1.5 mm^2 = 1.5 x 10^-6 m^2
\(\rho = \frac{9 \times 1.5 \times 10^{-6}}{5} = 2.70e-06\) ohm.m
Difficulty: Medium · Topic: Electric Current
Given: I = 1 A, t = 1 s, e = 1.6 × 10⁻¹⁹ C
Step 1: Total charge Q = I × t = 1 × 1 = 1 C
Step 2: Number of electrons n = Q/e
n = 1 / (1.6 × 10⁻¹⁹) = 6.25 × 10¹⁸ electrons
So about 6.25 billion billion electrons flow past a point every second when the current is 1 A!
Difficulty: Medium · Topic: Resistance
Given: l = 2 m, A = 1 × 10⁻⁶ m², R = 10 Ω
Formula: R = ρl/A → ρ = RA/l
ρ = (10 × 1 × 10⁻⁶) / 2
ρ = 10 × 10⁻⁶ / 2
ρ = 5 × 10⁻⁶ Ω·m
Difficulty: Medium · Topic: Resistance
When a wire is stretched, its volume remains constant.
Original: R = ρl/A, Volume = l × A
After stretching: new length l' = 2l. Since volume is constant:
l × A = l' × A' → A × l = 2l × A' → A' = A/2
New resistance: R' = ρl'/A' = ρ(2l)/(A/2) = 4ρl/A = 4R
The resistance becomes 4 times. In general, if length is made n times, resistance becomes n² times.
Difficulty: Medium · Topic: Resistors in Series
(a) Total resistance:
R = R₁ + R₂ + R₃ = 2 + 3 + 5 = 10 Ω
(b) Current (same throughout in series):
I = V/R = 20/10 = 2 A
(c) Voltage drops:
V₁ = IR₁ = 2 × 2 = 4 V
V₂ = IR₂ = 2 × 3 = 6 V
V₃ = IR₃ = 2 × 5 = 10 V
Verification: V₁ + V₂ + V₃ = 4 + 6 + 10 = 20 V ✓ (equals the battery voltage)
Difficulty: Medium · Topic: Resistors in Parallel
Equivalent resistance:
1/R_eq = 1/R₁ + 1/R₂ = 1/6 + 1/12 = (2 + 1)/12 = 3/12 = 1/4
R_eq = 4 Ω
Note: 4 Ω is less than the smallest resistor (6 Ω), as expected for parallel combinations.
Total current:
I = V/R_eq = 12/4 = 3 A
Individual currents:
I₁ = V/R₁ = 12/6 = 2 A
I₂ = V/R₂ = 12/12 = 1 A
Verification: I₁ + I₂ = 2 + 1 = 3 A ✓ (equals total current)
Difficulty: Medium · Topic: Heating Effect
Given: P = 1000 W, I = 5 A
Step 1: Find resistance
P = I²R → R = P/I² = 1000/(5)² = 1000/25 = 40 Ω
Step 2: Heat produced in 30 seconds
H = I²Rt = (5)² × 40 × 30 = 25 × 40 × 30 = 30,000 J = 30 kJ
Alternatively: H = P × t = 1000 × 30 = 30,000 J ✓
Difficulty: Medium · Topic: Electric Power
Given: P = 1500 W = 1.5 kW, t = 2 hours/day, days = 30
Step 1: Energy consumed per day
E = P × t = 1.5 × 2 = 3 kWh per day
Step 2: Total energy in 30 days
E_total = 3 × 30 = 90 kWh = 90 units
Step 3: Cost
Cost = 90 × 5 = ₹450
Difficulty: Medium · Topic: Heating Effect
Electric toasters and irons use alloy coils (typically nichrome) instead of pure metals for three reasons:
Difficulty: Medium · Topic: Resistance
Given: R₁ = 0.5 Ω, same mass, l₂ = 2l₁
Same mass and same material means same volume (since density is the same).
Volume = l × A = constant
l₁ × A₁ = l₂ × A₂ = 2l₁ × A₂
A₂ = A₁/2
New resistance:
R₂ = ρl₂/A₂ = ρ(2l₁)/(A₁/2) = 4ρl₁/A₁ = 4R₁ = 4 × 0.5 = 2 Ω
Difficulty: Medium · Topic: Resistors in Parallel
Household appliances are connected in parallel for the following reasons:
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{2}{27 + 0.5} = 0.07\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{8}{17 + 0.5} = 0.46\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{2}{17 + 1.5} = 0.11\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{9}{25 + 2.0} = 0.33\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{5}{3 + 0.2} = 1.56\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{6}{23 + 0.5} = 0.26\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{4}{12 + 0.2} = 0.33\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{11}{12 + 0.2} = 0.9\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{10}{18 + 1.5} = 0.51\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{10}{3 + 2.0} = 2.0\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{4}{4 + 0.5} = 0.89\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{3}{19 + 1.5} = 0.15\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{1}{18 + 2.0} = 0.05\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{8}{24 + 0.5} = 0.33\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{9}{18 + 1.5} = 0.46\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{3}{11 + 0.5} = 0.26\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{5}{22 + 0.2} = 0.23\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{5}{9 + 2.0} = 0.45\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{9}{28 + 1.0} = 0.31\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{12}{17 + 2.0} = 0.63\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{12}{11 + 2.0} = 0.92\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{12}{7 + 1.5} = 1.41\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{6}{6 + 1.5} = 0.8\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{4}{17 + 0.2} = 0.23\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{3}{7 + 0.3} = 0.41\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{2}{9 + 2.0} = 0.18\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{3}{9 + 0.3} = 0.32\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{8}{14 + 0.2} = 0.56\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{3}{11 + 0.2} = 0.27\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{10}{18 + 2.0} = 0.5\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{7}{27 + 1.0} = 0.25\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{6}{10 + 1.5} = 0.52\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{1}{26 + 1.0} = 0.04\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{1}{23 + 1.0} = 0.04\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{10}{4 + 0.5} = 2.22\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{2}{10 + 1.0} = 0.18\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{3}{7 + 1.0} = 0.38\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{10}{6 + 1.5} = 1.33\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{4}{7 + 0.5} = 0.53\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{5}{16 + 1.0} = 0.29\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{7}{9 + 0.2} = 0.76\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{7}{25 + 2.0} = 0.26\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{5}{8 + 0.5} = 0.59\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{6}{26 + 2.0} = 0.21\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{10}{9 + 1.5} = 0.95\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{2}{14 + 0.5} = 0.14\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{7}{20 + 1.0} = 0.33\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{7}{24 + 0.3} = 0.29\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{1}{21 + 1.5} = 0.04\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{2}{15 + 1.5} = 0.12\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{7}{10 + 1.5} = 0.61\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{4}{10 + 1.0} = 0.36\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{11}{5 + 0.5} = 2.0\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{3}{19 + 1.0} = 0.15\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{8}{8 + 1.5} = 0.84\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{10}{16 + 1.5} = 0.57\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{2}{28 + 2.0} = 0.07\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{5}{9 + 0.3} = 0.54\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{8}{3 + 0.5} = 2.29\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{4}{26 + 0.3} = 0.15\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{9}{18 + 1.0} = 0.47\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{4}{4 + 2.0} = 0.67\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{11}{15 + 0.2} = 0.72\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{4}{25 + 1.5} = 0.15\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{1}{13 + 2.0} = 0.07\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{11}{8 + 1.0} = 1.22\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{12}{15 + 0.3} = 0.78\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{8}{22 + 0.2} = 0.36\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{12}{12 + 0.2} = 0.98\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{11}{6 + 1.5} = 1.47\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{11}{6 + 2.0} = 1.38\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{11}{29 + 2.0} = 0.35\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{2}{3 + 0.3} = 0.61\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{8}{28 + 2.0} = 0.27\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{3}{18 + 2.0} = 0.15\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{5}{20 + 0.5} = 0.24\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{8}{15 + 0.3} = 0.52\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{12}{29 + 0.3} = 0.41\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{10}{29 + 0.5} = 0.34\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{3}{6 + 0.5} = 0.46\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{5}{20 + 0.3} = 0.25\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{3}{8 + 0.5} = 0.35\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{7}{29 + 2.0} = 0.23\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{12}{28 + 1.5} = 0.41\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{6}{10 + 1.0} = 0.55\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{3}{27 + 0.2} = 0.11\) A
Difficulty: Medium · Topic: EMF, internal resistance and current
\(I = \frac{E}{R + r} = \frac{2}{5 + 0.5} = 0.36\) A
Difficulty: Medium-Hard · Topic: Resistors in Series and Parallel
Step 1: Find equivalent resistance of parallel combination
1/R_p = 1/4 + 1/6 + 1/12 = (3 + 2 + 1)/12 = 6/12 = 1/2
R_p = 2 Ω
Step 2: Total resistance (series with 2 Ω)
R_total = R_p + 2 = 2 + 2 = 4 Ω
Step 3: Total current
I = V/R_total = 6/4 = 1.5 A
Difficulty: Medium-Hard · Topic: Electric Power
Step 1: Find current through each lamp
For 60 W lamp: P₁ = V × I₁ → I₁ = P₁/V = 60/220 = 3/11 A
For 100 W lamp: P₂ = V × I₂ → I₂ = P₂/V = 100/220 = 5/11 A
Step 2: In parallel, total current = sum of individual currents
I = I₁ + I₂ = 3/11 + 5/11 = 8/11 A ≈ 0.727 A
Alternative method:
Total power = 60 + 100 = 160 W
I = P/V = 160/220 = 8/11 A ✓
Difficulty: Medium-Hard · Topic: Electric Power
Case (i): Bulb on 220 V supply
The bulb operates at its rated voltage, so it consumes its rated power = 60 W.
First, find the resistance of the bulb:
R = V²/P = (220)²/60 = 48400/60 = 806.67 Ω
(The resistance is a property of the filament and stays approximately the same.)
Case (ii): Bulb on 110 V supply
P = V²/R = (110)²/806.67 = 12100/806.67 = 15 W
Comparison: At half the rated voltage, the power consumed is (110/220)² = (1/2)² = 1/4 of the rated power. The bulb glows very dimly.
Difficulty: Hard · Topic: Resistors in Series and Parallel
Step 1: Equivalent resistance of 3 Ω and 6 Ω in parallel
1/R_p = 1/3 + 1/6 = (2 + 1)/6 = 3/6 = 1/2
R_p = 2 Ω
Step 2: This parallel combination is in series with 4 Ω
R_eq = R_p + 4 = 2 + 4 = 6 Ω
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