Q1. The work done in moving a charge of 5 C through a potential difference of 12 V is:

60 J
2.4 J
17 J
0.42 J

Difficulty: Easy · Topic: Work and Potential

Solution

W = qV = 5 × 12 = 60 J.

Q2. The capacitance of a parallel plate capacitor with plate area A, separation d, and dielectric constant K is:

Kε₀A/d
ε₀A/Kd
KA/ε₀d
ε₀Kd/A

Difficulty: Easy · Topic: Capacitance

Solution

C = Kε₀A/d. Dielectric increases capacitance by factor K.

Q3. The energy stored in a capacitor of capacitance C charged to voltage V is:

CV
CV²
½CV²
2CV²

Difficulty: Easy · Topic: Energy in Capacitor

Solution

Energy = ½CV² = ½QV = Q²/(2C).

Q4. Three capacitors 2μF, 3μF, 6μF in parallel give equivalent capacitance:

11 μF
10 μF
5 μF
13 μF

Difficulty: Easy · Topic: Capacitors

Solution

C = 2+3+6 = 11 μF.

Q5. Three capacitors 1μF, 2μF, 3μF in parallel give equivalent capacitance:

6 μF
5 μF
8 μF
3 μF

Difficulty: Easy · Topic: Capacitors

Solution

C = 1+2+3 = 6 μF.

Q6. Three capacitors 4μF, 4μF, 4μF in parallel give equivalent capacitance:

6 μF
14 μF
11 μF
12 μF

Difficulty: Easy · Topic: Capacitors

Solution

C = 4+4+4 = 12 μF.

Q7. Three capacitors 2μF, 4μF, 4μF in parallel give equivalent capacitance:

10 μF
12 μF
5 μF
9 μF

Difficulty: Easy · Topic: Capacitors

Solution

C = 2+4+4 = 10 μF.

Q8. Three capacitors 3μF, 6μF, 6μF in parallel give equivalent capacitance:

14 μF
15 μF
7 μF
17 μF

Difficulty: Easy · Topic: Capacitors

Solution

C = 3+6+6 = 15 μF.

Q9. Work done moving 1μC through potential difference 100 V is:

Difficulty: Easy · Topic: Work-Potential

Solution

W = qV.

Q10. Work done moving 2μC through potential difference 150 V is:

Difficulty: Easy · Topic: Work-Potential

Solution

W = qV.

Q11. Work done moving 3μC through potential difference 200 V is:

Difficulty: Easy · Topic: Work-Potential

Solution

W = qV.

Q12. Work done moving 4μC through potential difference 250 V is:

Difficulty: Easy · Topic: Work-Potential

Solution

W = qV.

Q13. Work done moving 5μC through potential difference 300 V is:

Difficulty: Easy · Topic: Work-Potential

Solution

W = qV.

Q14. Work done moving 6μC through potential difference 350 V is:

Difficulty: Easy · Topic: Work-Potential

Solution

W = qV.

Q15. Work done moving 7μC through potential difference 400 V is:

Difficulty: Easy · Topic: Work-Potential

Solution

W = qV.

Q16. Work done moving 8μC through potential difference 450 V is:

Difficulty: Easy · Topic: Work-Potential

Solution

W = qV.

Q17. Work done moving 9μC through potential difference 500 V is:

Difficulty: Easy · Topic: Work-Potential

Solution

W = qV.

Q18. Work done moving 10μC through potential difference 550 V is:

Difficulty: Easy · Topic: Work-Potential

Solution

W = qV.

Q19. Work done moving 11μC through potential difference 600 V is:

Difficulty: Easy · Topic: Work-Potential

Solution

W = qV.

Q20. Work done moving 12μC through potential difference 650 V is:

Difficulty: Easy · Topic: Work-Potential

Solution

W = qV.

Q21. Work done moving 13μC through potential difference 700 V is:

Difficulty: Easy · Topic: Work-Potential

Solution

W = qV.

Q22. Work done moving 14μC through potential difference 750 V is:

Difficulty: Easy · Topic: Work-Potential

Solution

W = qV.

Q23. Work done moving 15μC through potential difference 800 V is:

Difficulty: Easy · Topic: Work-Potential

Solution

W = qV.

Q24. Work done moving 16μC through potential difference 850 V is:

Difficulty: Easy · Topic: Work-Potential

Solution

W = qV.

Q25. Work done moving 17μC through potential difference 900 V is:

Difficulty: Easy · Topic: Work-Potential

Solution

W = qV.

Q26. Work done moving 18μC through potential difference 950 V is:

Difficulty: Easy · Topic: Work-Potential

Solution

W = qV.

Q27. Work done moving 19μC through potential difference 1000 V is:

Difficulty: Easy · Topic: Work-Potential

Solution

W = qV.

Q28. Work done moving 20μC through potential difference 1050 V is:

Difficulty: Easy · Topic: Work-Potential

Solution

W = qV.

Q29. Capacitors 1μF and 1μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=2 μF.

Q30. Capacitors 1μF and 2μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=3 μF.

Q31. Capacitors 1μF and 3μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=4 μF.

Q32. Capacitors 1μF and 4μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=5 μF.

Q33. Capacitors 1μF and 5μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=6 μF.

Q34. Capacitors 1μF and 6μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=7 μF.

Q35. Capacitors 1μF and 7μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=8 μF.

Q36. Capacitors 1μF and 8μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=9 μF.

Q37. Capacitors 1μF and 9μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=10 μF.

Q38. Capacitors 1μF and 10μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=11 μF.

Q39. Capacitors 1μF and 11μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=12 μF.

Q40. Capacitors 2μF and 1μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=3 μF.

Q41. Capacitors 2μF and 2μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=4 μF.

Q42. Capacitors 2μF and 3μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=5 μF.

Q43. Capacitors 2μF and 4μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=6 μF.

Q44. Capacitors 2μF and 5μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=7 μF.

Q45. Capacitors 2μF and 6μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=8 μF.

Q46. Capacitors 2μF and 7μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=9 μF.

Q47. Capacitors 2μF and 8μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=10 μF.

Q48. Capacitors 2μF and 9μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=11 μF.

Q49. Capacitors 2μF and 10μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=12 μF.

Q50. Capacitors 2μF and 11μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=13 μF.

Q51. Capacitors 3μF and 1μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=4 μF.

Q52. Capacitors 3μF and 2μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=5 μF.

Q53. Capacitors 3μF and 3μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=6 μF.

Q54. Capacitors 3μF and 4μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=7 μF.

Q55. Capacitors 3μF and 5μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=8 μF.

Q56. Capacitors 3μF and 6μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=9 μF.

Q57. Capacitors 3μF and 7μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=10 μF.

Q58. Capacitors 3μF and 8μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=11 μF.

Q59. Capacitors 3μF and 9μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=12 μF.

Q60. Capacitors 3μF and 10μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=13 μF.

Q61. Capacitors 3μF and 11μF in parallel:

Difficulty: Easy · Topic: Capacitors

Solution

C=C1+C2=14 μF.

Q62. Three capacitors of 2μF, 3μF, and 6μF are connected in series. The equivalent capacitance is:

1 μF
11 μF
6 μF
0.5 μF

Difficulty: Easy-Medium · Topic: Capacitor Combinations

Solution

1/C = 1/2 + 1/3 + 1/6 = 3/6 + 2/6 + 1/6 = 6/6 = 1. C = 1 μF.

Q63. Three capacitors 2μF, 3μF, 6μF in series give equivalent capacitance:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

1/C = 1/2+1/3+1/6. C = 1.0 μF.

Q64. Three capacitors 1μF, 2μF, 3μF in series give equivalent capacitance:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

1/C = 1/1+1/2+1/3. C = 0.55 μF.

Q65. Three capacitors 4μF, 4μF, 4μF in series give equivalent capacitance:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

1/C = 1/4+1/4+1/4. C = 1.33 μF.

Q66. Three capacitors 2μF, 4μF, 4μF in series give equivalent capacitance:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

1/C = 1/2+1/4+1/4. C = 1.0 μF.

Q67. Three capacitors 3μF, 6μF, 6μF in series give equivalent capacitance:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

1/C = 1/3+1/6+1/6. C = 1.5 μF.

Q68. Energy stored in a 2μF capacitor charged to 100V is:

Difficulty: Easy-Medium · Topic: Energy

Solution

E = ½CV² = ½×2×10⁻⁶×100² J.

Q69. Energy stored in a 4μF capacitor charged to 50V is:

Difficulty: Easy-Medium · Topic: Energy

Solution

E = ½CV² = ½×4×10⁻⁶×50² J.

Q70. Energy stored in a 10μF capacitor charged to 20V is:

Difficulty: Easy-Medium · Topic: Energy

Solution

E = ½CV² = ½×10×10⁻⁶×20² J.

Q71. Energy stored in a 1μF capacitor charged to 200V is:

Difficulty: Easy-Medium · Topic: Energy

Solution

E = ½CV² = ½×1×10⁻⁶×200² J.

Q72. Energy stored in a 5μF capacitor charged to 100V is:

Difficulty: Easy-Medium · Topic: Energy

Solution

E = ½CV² = ½×5×10⁻⁶×100² J.

Q73. Capacitors 1μF and 1μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=0.5 μF.

Q74. Capacitors 1μF and 2μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=0.67 μF.

Q75. Capacitors 1μF and 3μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=0.75 μF.

Q76. Capacitors 1μF and 4μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=0.8 μF.

Q77. Capacitors 1μF and 5μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=0.83 μF.

Q78. Capacitors 1μF and 6μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=0.86 μF.

Q79. Capacitors 1μF and 7μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=0.88 μF.

Q80. Capacitors 1μF and 8μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=0.89 μF.

Q81. Capacitors 1μF and 9μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=0.9 μF.

Q82. Capacitors 1μF and 10μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=0.91 μF.

Q83. Capacitors 1μF and 11μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=0.92 μF.

Q84. Capacitors 2μF and 1μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=0.67 μF.

Q85. Capacitors 2μF and 2μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=1.0 μF.

Q86. Capacitors 2μF and 3μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=1.2 μF.

Q87. Capacitors 2μF and 4μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=1.33 μF.

Q88. Capacitors 2μF and 5μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=1.43 μF.

Q89. Capacitors 2μF and 6μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=1.5 μF.

Q90. Capacitors 2μF and 7μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=1.56 μF.

Q91. Capacitors 2μF and 8μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=1.6 μF.

Q92. Capacitors 2μF and 9μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=1.64 μF.

Q93. Capacitors 2μF and 10μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=1.67 μF.

Q94. Capacitors 2μF and 11μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=1.69 μF.

Q95. Capacitors 3μF and 1μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=0.75 μF.

Q96. Capacitors 3μF and 2μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=1.2 μF.

Q97. Capacitors 3μF and 3μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=1.5 μF.

Q98. Capacitors 3μF and 4μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=1.71 μF.

Q99. Capacitors 3μF and 5μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=1.88 μF.

Q100. Capacitors 3μF and 6μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=2.0 μF.

Q101. Capacitors 3μF and 7μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=2.1 μF.

Q102. Capacitors 3μF and 8μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=2.18 μF.

Q103. Capacitors 3μF and 9μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=2.25 μF.

Q104. Capacitors 3μF and 10μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=2.31 μF.

Q105. Capacitors 3μF and 11μF in series:

Difficulty: Easy-Medium · Topic: Capacitors

Solution

C=C1C2/(C1+C2)=2.36 μF.

Chapter 2: Electrostatic Potential

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