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Chapter 6: Electromagnetic Induction

NCERT Solutions for CBSE Class 10 Physics — 105 solved questions with detailed explanations.

105

Questions

0

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Solved Questions

Q1. Faraday's law of electromagnetic induction states that the induced EMF is equal to:

Rate of change of magnetic flux
Magnetic flux
Rate of change of electric field
Magnetic field strength

Difficulty: Easy · Topic: Faraday's Law

Solution

EMF = -dΦ/dt. The induced EMF equals the negative rate of change of magnetic flux.

Q2. Lenz's law is consistent with the law of conservation of:

Charge
Mass
Energy
Momentum

Difficulty: Easy · Topic: Lenz's Law

Solution

Lenz's law: induced current opposes the change causing it. This ensures energy conservation.

Q3. The self-inductance of a solenoid of N turns, length l, and area A is:

μ₀N²A/l
μ₀NA/l
μ₀N²l/A
μ₀NA/l²

Difficulty: Easy-Medium · Topic: Self Inductance

Solution

L = μ₀N²A/l for a solenoid.

Q4. A coil of 100 turns and area 0.01 m² is placed perpendicular to a magnetic field that changes from 0.5 T to 0 in 0.1 s. The induced EMF is:

Difficulty: Easy-Medium · Topic: EMF Calculation

Solution

EMF = NΔΦ/Δt = 100 × 0.01 × 0.5/0.1 = 5 V.

Q5. A coil of 100 turns, area 10 cm² experiences field change of 0.5 T in 0.1 s. The induced EMF is:

Difficulty: Easy-Medium · Topic: Faraday's Law

Solution

EMF = NΔΦ/Δt = 100×0.001×0.5/0.1 = 0.5 V.

Q6. A coil of 50 turns, area 20 cm² experiences field change of 1.0 T in 0.5 s. The induced EMF is:

Difficulty: Easy-Medium · Topic: Faraday's Law

Solution

EMF = NΔΦ/Δt = 50×0.002×1.0/0.5 = 0.2 V.

Q7. A coil of 200 turns, area 5 cm² experiences field change of 0.2 T in 0.2 s. The induced EMF is:

Difficulty: Easy-Medium · Topic: Faraday's Law

Solution

EMF = NΔΦ/Δt = 200×0.0005×0.2/0.2 = 0.1 V.

Q8. A coil of 150 turns, area 8 cm² experiences field change of 0.4 T in 0.1 s. The induced EMF is:

Difficulty: Easy-Medium · Topic: Faraday's Law

Solution

EMF = NΔΦ/Δt = 150×0.0008×0.4/0.1 = 0.48 V.

Q9. A coil of 80 turns, area 25 cm² experiences field change of 0.5 T in 0.25 s. The induced EMF is:

Difficulty: Easy-Medium · Topic: Faraday's Law

Solution

EMF = NΔΦ/Δt = 80×0.0025×0.5/0.25 = 0.4 V.

Q10. Self-inductance opposes:

change in current through the coil
magnetic field
voltage
current flow

Difficulty: Easy-Medium · Topic: EMI Concepts

Solution

change in current through the coil.

Q11. Eddy currents are reduced by:

heating the core
using solid metal
increasing thickness
laminating the core

Difficulty: Easy-Medium · Topic: EMI Concepts

Solution

laminating the core.

Q12. Mutual inductance depends on:

voltage only
current only
resistance
geometry and permeability

Difficulty: Easy-Medium · Topic: EMI Concepts

Solution

geometry and permeability.

Q13. A coil (50 turns, area 20 cm²) in field changing 0.5 T in 0.10 s. EMF is:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF = NΔBA/Δt.

Q14. A coil (60 turns, area 25 cm²) in field changing 0.6 T in 0.15 s. EMF is:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF = NΔBA/Δt.

Q15. A coil (70 turns, area 30 cm²) in field changing 0.7 T in 0.20 s. EMF is:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF = NΔBA/Δt.

Q16. A coil (80 turns, area 35 cm²) in field changing 0.8 T in 0.25 s. EMF is:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF = NΔBA/Δt.

Q17. A coil (90 turns, area 40 cm²) in field changing 0.9 T in 0.30 s. EMF is:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF = NΔBA/Δt.

Q18. A coil (100 turns, area 45 cm²) in field changing 1.0 T in 0.35 s. EMF is:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF = NΔBA/Δt.

Q19. A coil (110 turns, area 50 cm²) in field changing 1.1 T in 0.40 s. EMF is:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF = NΔBA/Δt.

Q20. A coil (120 turns, area 55 cm²) in field changing 1.2 T in 0.45 s. EMF is:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF = NΔBA/Δt.

Q21. A coil (130 turns, area 60 cm²) in field changing 1.3 T in 0.50 s. EMF is:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF = NΔBA/Δt.

Q22. A coil (140 turns, area 65 cm²) in field changing 1.4 T in 0.55 s. EMF is:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF = NΔBA/Δt.

Q23. A coil (150 turns, area 70 cm²) in field changing 1.5 T in 0.60 s. EMF is:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF = NΔBA/Δt.

Q24. A coil (160 turns, area 75 cm²) in field changing 1.6 T in 0.65 s. EMF is:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF = NΔBA/Δt.

Q25. A coil (170 turns, area 80 cm²) in field changing 1.7 T in 0.70 s. EMF is:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF = NΔBA/Δt.

Q26. A coil (180 turns, area 85 cm²) in field changing 1.8 T in 0.75 s. EMF is:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF = NΔBA/Δt.

Q27. A coil (190 turns, area 90 cm²) in field changing 1.9 T in 0.80 s. EMF is:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF = NΔBA/Δt.

Q28. A coil (200 turns, area 95 cm²) in field changing 2.0 T in 0.85 s. EMF is:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF = NΔBA/Δt.

Q29. A coil (210 turns, area 100 cm²) in field changing 2.1 T in 0.90 s. EMF is:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF = NΔBA/Δt.

Q30. A coil (220 turns, area 105 cm²) in field changing 2.2 T in 0.95 s. EMF is:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF = NΔBA/Δt.

Q31. A coil (230 turns, area 110 cm²) in field changing 2.3 T in 1.00 s. EMF is:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF = NΔBA/Δt.

Q32. A coil (240 turns, area 115 cm²) in field changing 2.4 T in 1.05 s. EMF is:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF = NΔBA/Δt.

Q33. Coil N=10, A=5cm², ΔB=0.1T, Δt=0.05s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.01 V.

Q34. Coil N=10, A=5cm², ΔB=0.1T, Δt=0.1s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.005 V.

Q35. Coil N=10, A=5cm², ΔB=0.1T, Δt=0.2s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.0025 V.

Q36. Coil N=10, A=5cm², ΔB=0.1T, Δt=0.5s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.001 V.

Q37. Coil N=10, A=5cm², ΔB=0.1T, Δt=1.0s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.0005 V.

Q38. Coil N=10, A=5cm², ΔB=0.2T, Δt=0.05s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.02 V.

Q39. Coil N=10, A=5cm², ΔB=0.2T, Δt=0.1s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.01 V.

Q40. Coil N=10, A=5cm², ΔB=0.2T, Δt=0.2s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.005 V.

Q41. Coil N=10, A=5cm², ΔB=0.2T, Δt=0.5s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.002 V.

Q42. Coil N=10, A=5cm², ΔB=0.2T, Δt=1.0s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.001 V.

Q43. Coil N=10, A=5cm², ΔB=0.3T, Δt=0.05s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.03 V.

Q44. Coil N=10, A=5cm², ΔB=0.3T, Δt=0.1s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.015 V.

Q45. Coil N=10, A=5cm², ΔB=0.3T, Δt=0.2s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.0075 V.

Q46. Coil N=10, A=5cm², ΔB=0.3T, Δt=0.5s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.003 V.

Q47. Coil N=10, A=5cm², ΔB=0.3T, Δt=1.0s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.0015 V.

Q48. Coil N=10, A=5cm², ΔB=0.5T, Δt=0.05s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.05 V.

Q49. Coil N=10, A=5cm², ΔB=0.5T, Δt=0.1s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.025 V.

Q50. Coil N=10, A=5cm², ΔB=0.5T, Δt=0.2s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.0125 V.

Q51. Coil N=10, A=5cm², ΔB=0.5T, Δt=0.5s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.005 V.

Q52. Coil N=10, A=5cm², ΔB=0.5T, Δt=1.0s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.0025 V.

Q53. Coil N=10, A=5cm², ΔB=1.0T, Δt=0.05s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.1 V.

Q54. Coil N=10, A=5cm², ΔB=1.0T, Δt=0.1s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.05 V.

Q55. Coil N=10, A=5cm², ΔB=1.0T, Δt=0.2s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.025 V.

Q56. Coil N=10, A=5cm², ΔB=1.0T, Δt=0.5s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.01 V.

Q57. Coil N=10, A=5cm², ΔB=1.0T, Δt=1.0s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.005 V.

Q58. Coil N=10, A=10cm², ΔB=0.1T, Δt=0.05s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.02 V.

Q59. Coil N=10, A=10cm², ΔB=0.1T, Δt=0.1s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.01 V.

Q60. Coil N=10, A=10cm², ΔB=0.1T, Δt=0.2s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.005 V.

Q61. Coil N=10, A=10cm², ΔB=0.1T, Δt=0.5s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.002 V.

Q62. Coil N=10, A=10cm², ΔB=0.1T, Δt=1.0s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.001 V.

Q63. Coil N=10, A=10cm², ΔB=0.2T, Δt=0.05s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.04 V.

Q64. Coil N=10, A=10cm², ΔB=0.2T, Δt=0.1s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.02 V.

Q65. Coil N=10, A=10cm², ΔB=0.2T, Δt=0.2s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.01 V.

Q66. Coil N=10, A=10cm², ΔB=0.2T, Δt=0.5s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.004 V.

Q67. Coil N=10, A=10cm², ΔB=0.2T, Δt=1.0s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.002 V.

Q68. Coil N=10, A=10cm², ΔB=0.3T, Δt=0.05s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.06 V.

Q69. Coil N=10, A=10cm², ΔB=0.3T, Δt=0.1s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.03 V.

Q70. Coil N=10, A=10cm², ΔB=0.3T, Δt=0.2s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.015 V.

Q71. Coil N=10, A=10cm², ΔB=0.3T, Δt=0.5s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.006 V.

Q72. Coil N=10, A=10cm², ΔB=0.3T, Δt=1.0s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.003 V.

Q73. Coil N=10, A=10cm², ΔB=0.5T, Δt=0.05s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.1 V.

Q74. Coil N=10, A=10cm², ΔB=0.5T, Δt=0.1s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.05 V.

Q75. Coil N=10, A=10cm², ΔB=0.5T, Δt=0.2s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.025 V.

Q76. Coil N=10, A=10cm², ΔB=0.5T, Δt=0.5s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.01 V.

Q77. Coil N=10, A=10cm², ΔB=0.5T, Δt=1.0s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.005 V.

Q78. Coil N=10, A=10cm², ΔB=1.0T, Δt=0.05s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.2 V.

Q79. Coil N=10, A=10cm², ΔB=1.0T, Δt=0.1s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.1 V.

Q80. Coil N=10, A=10cm², ΔB=1.0T, Δt=0.2s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.05 V.

Q81. Coil N=10, A=10cm², ΔB=1.0T, Δt=0.5s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.02 V.

Q82. Coil N=10, A=10cm², ΔB=1.0T, Δt=1.0s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.01 V.

Q83. Coil N=10, A=15cm², ΔB=0.1T, Δt=0.05s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.03 V.

Q84. Coil N=10, A=15cm², ΔB=0.1T, Δt=0.1s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.015 V.

Q85. Coil N=10, A=15cm², ΔB=0.1T, Δt=0.2s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.0075 V.

Q86. Coil N=10, A=15cm², ΔB=0.1T, Δt=0.5s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.003 V.

Q87. Coil N=10, A=15cm², ΔB=0.1T, Δt=1.0s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.0015 V.

Q88. Coil N=10, A=15cm², ΔB=0.2T, Δt=0.05s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.06 V.

Q89. Coil N=10, A=15cm², ΔB=0.2T, Δt=0.1s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.03 V.

Q90. Coil N=10, A=15cm², ΔB=0.2T, Δt=0.2s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.015 V.

Q91. Coil N=10, A=15cm², ΔB=0.2T, Δt=0.5s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.006 V.

Q92. Coil N=10, A=15cm², ΔB=0.2T, Δt=1.0s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.003 V.

Q93. Coil N=10, A=15cm², ΔB=0.3T, Δt=0.05s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.09 V.

Q94. Coil N=10, A=15cm², ΔB=0.3T, Δt=0.1s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.045 V.

Q95. Coil N=10, A=15cm², ΔB=0.3T, Δt=0.2s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.0225 V.

Q96. Coil N=10, A=15cm², ΔB=0.3T, Δt=0.5s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.009 V.

Q97. Coil N=10, A=15cm², ΔB=0.3T, Δt=1.0s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.0045 V.

Q98. Coil N=10, A=15cm², ΔB=0.5T, Δt=0.05s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.15 V.

Q99. Coil N=10, A=15cm², ΔB=0.5T, Δt=0.1s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.075 V.

Q100. Coil N=10, A=15cm², ΔB=0.5T, Δt=0.2s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.0375 V.

Q101. Coil N=10, A=15cm², ΔB=0.5T, Δt=0.5s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.015 V.

Q102. Coil N=10, A=15cm², ΔB=0.5T, Δt=1.0s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.0075 V.

Q103. Coil N=10, A=15cm², ΔB=1.0T, Δt=0.05s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.3 V.

Q104. Coil N=10, A=15cm², ΔB=1.0T, Δt=0.1s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.15 V.

Q105. Coil N=10, A=15cm², ΔB=1.0T, Δt=0.2s. EMF:

Difficulty: Easy-Medium · Topic: Faraday

Solution

EMF=NAΔB/Δt=0.075 V.

Other Chapters in Physics

Ch 1: Electric Charges & Fields Ch 2: Electrostatic Potential Ch 3: Current Electricity Ch 4: Moving Charges & Magnetism Ch 5: Magnetism & Matter Ch 7: Alternating Current Ch 8: Electromagnetic Waves Ch 9: Ray Optics Ch 10: Wave Optics Ch 11: Dual Nature of Radiation Ch 12: Atoms Ch 13: Nuclei Ch 14: Semiconductor Electronics

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