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NCERT Solutions › Physics › Chapter 4

Chapter 4: Moving Charges & Magnetism

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

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Solved Questions

Q1. A charged particle moving perpendicular to a magnetic field follows:

Difficulty: Easy · Topic: Lorentz Force

Solution

The magnetic force F = qv×B is always perpendicular to velocity, providing centripetal force for circular motion.

Q2. A current loop placed in a magnetic field behaves as a:

Difficulty: Easy · Topic: Magnetic Dipole

Solution

A current loop has a magnetic moment m = NIA and behaves as a magnetic dipole.

Q3. The force per unit length between two parallel wires carrying currents I₁ and I₂ separated by distance d is:

Difficulty: Easy-Medium · Topic: Force Between Wires

Solution

F/L = μ₀I₁I₂/(2πd). Attractive for same direction, repulsive for opposite.

Q4. The magnetic field at the centre of a circular coil of radius R carrying current I is:

Difficulty: Easy-Medium · Topic: Biot-Savart Law

Solution

B = μ₀I/(2R) at the centre of a single circular loop.

Q5. A charge of 1μC moves at 1e+06 m/s perpendicular to field 0.1 T. Force is:

Difficulty: Easy-Medium · Topic: Lorentz Force

Solution

F = qvB = 1×10⁻⁶×1000000.0×0.1 = 0.1 N.

Q6. A charge of 2μC moves at 5e+05 m/s perpendicular to field 0.2 T. Force is:

Difficulty: Easy-Medium · Topic: Lorentz Force

Solution

F = qvB = 2×10⁻⁶×500000.0×0.2 = 0.2 N.

Q7. A charge of 1μC moves at 2e+06 m/s perpendicular to field 0.05 T. Force is:

Difficulty: Easy-Medium · Topic: Lorentz Force

Solution

F = qvB = 1×10⁻⁶×2000000.0×0.05 = 0.1 N.

Q8. Ampere's circuital law relates:

Difficulty: Easy-Medium · Topic: Magnetism

Solution

line integral of B to enclosed current.

Q9. The magnetic field inside a long solenoid is:

Difficulty: Easy-Medium · Topic: Magnetism

Solution

μ₀nI.

Q10. A current-carrying conductor in a magnetic field experiences:

Difficulty: Easy-Medium · Topic: Magnetism

Solution

force (F=BIL).

Q11. The magnetic moment of a current loop is:

Difficulty: Easy-Medium · Topic: Magnetism

Solution

NIA.

Q12. Magnetic field at centre of coil (N=10, R=5 cm, I=2 A) is:

Difficulty: Medium · Topic: Biot-Savart

Solution

B = μ₀NI/(2R).

Q13. Magnetic field at centre of coil (N=15, R=6 cm, I=3 A) is:

Difficulty: Medium · Topic: Biot-Savart

Solution

B = μ₀NI/(2R).

Q14. Magnetic field at centre of coil (N=20, R=7 cm, I=4 A) is:

Difficulty: Medium · Topic: Biot-Savart

Solution

B = μ₀NI/(2R).

Q15. Magnetic field at centre of coil (N=25, R=8 cm, I=5 A) is:

Difficulty: Medium · Topic: Biot-Savart

Solution

B = μ₀NI/(2R).

Q16. Magnetic field at centre of coil (N=30, R=9 cm, I=6 A) is:

Difficulty: Medium · Topic: Biot-Savart

Solution

B = μ₀NI/(2R).

Q17. Magnetic field at centre of coil (N=35, R=10 cm, I=7 A) is:

Difficulty: Medium · Topic: Biot-Savart

Solution

B = μ₀NI/(2R).

Q18. Magnetic field at centre of coil (N=40, R=11 cm, I=8 A) is:

Difficulty: Medium · Topic: Biot-Savart

Solution

B = μ₀NI/(2R).

Q19. Magnetic field at centre of coil (N=45, R=12 cm, I=9 A) is:

Difficulty: Medium · Topic: Biot-Savart

Solution

B = μ₀NI/(2R).

Q20. Magnetic field at centre of coil (N=50, R=13 cm, I=10 A) is:

Difficulty: Medium · Topic: Biot-Savart

Solution

B = μ₀NI/(2R).

Q21. Magnetic field at centre of coil (N=55, R=14 cm, I=11 A) is:

Difficulty: Medium · Topic: Biot-Savart

Solution

B = μ₀NI/(2R).

Q22. Magnetic field at centre of coil (N=60, R=15 cm, I=12 A) is:

Difficulty: Medium · Topic: Biot-Savart

Solution

B = μ₀NI/(2R).

Q23. Magnetic field at centre of coil (N=65, R=16 cm, I=13 A) is:

Difficulty: Medium · Topic: Biot-Savart

Solution

B = μ₀NI/(2R).

Q24. Magnetic field at centre of coil (N=70, R=17 cm, I=14 A) is:

Difficulty: Medium · Topic: Biot-Savart

Solution

B = μ₀NI/(2R).

Q25. Magnetic field at centre of coil (N=75, R=18 cm, I=15 A) is:

Difficulty: Medium · Topic: Biot-Savart

Solution

B = μ₀NI/(2R).

Q26. Magnetic field at centre of coil (N=80, R=19 cm, I=16 A) is:

Difficulty: Medium · Topic: Biot-Savart

Solution

B = μ₀NI/(2R).

Q27. Magnetic field at centre of coil (N=85, R=20 cm, I=17 A) is:

Difficulty: Medium · Topic: Biot-Savart

Solution

B = μ₀NI/(2R).

Q28. Magnetic field at centre of coil (N=90, R=21 cm, I=18 A) is:

Difficulty: Medium · Topic: Biot-Savart

Solution

B = μ₀NI/(2R).

Q29. Magnetic field at centre of coil (N=95, R=22 cm, I=19 A) is:

Difficulty: Medium · Topic: Biot-Savart

Solution

B = μ₀NI/(2R).

Q30. Magnetic field at centre of coil (N=100, R=23 cm, I=20 A) is:

Difficulty: Medium · Topic: Biot-Savart

Solution

B = μ₀NI/(2R).

Q31. Magnetic field at centre of coil (N=105, R=24 cm, I=21 A) is:

Difficulty: Medium · Topic: Biot-Savart

Solution

B = μ₀NI/(2R).

Q32. Coil N=1, R=5cm, I=1A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=1.30e-05 T.

Q33. Coil N=5, R=5cm, I=1A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=6.30e-05 T.

Q34. Coil N=10, R=5cm, I=1A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=1.26e-04 T.

Q35. Coil N=20, R=5cm, I=1A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=2.51e-04 T.

Q36. Coil N=50, R=5cm, I=1A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=6.28e-04 T.

Q37. Coil N=100, R=5cm, I=1A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=1.26e-03 T.

Q38. Coil N=1, R=10cm, I=1A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=6.00e-06 T.

Q39. Coil N=5, R=10cm, I=1A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=3.10e-05 T.

Q40. Coil N=10, R=10cm, I=1A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=6.30e-05 T.

Q41. Coil N=20, R=10cm, I=1A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=1.26e-04 T.

Q42. Coil N=50, R=10cm, I=1A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=3.14e-04 T.

Q43. Coil N=100, R=10cm, I=1A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=6.28e-04 T.

Q44. Coil N=1, R=15cm, I=1A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=4.00e-06 T.

Q45. Coil N=5, R=15cm, I=1A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=2.10e-05 T.

Q46. Coil N=10, R=15cm, I=1A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=4.20e-05 T.

Q47. Coil N=20, R=15cm, I=1A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=8.40e-05 T.

Q48. Coil N=50, R=15cm, I=1A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=2.09e-04 T.

Q49. Coil N=100, R=15cm, I=1A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=4.19e-04 T.

Q50. Coil N=1, R=20cm, I=1A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=3.00e-06 T.

Q51. Coil N=5, R=20cm, I=1A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=1.60e-05 T.

Q52. Coil N=10, R=20cm, I=1A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=3.10e-05 T.

Q53. Coil N=20, R=20cm, I=1A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=6.30e-05 T.

Q54. Coil N=50, R=20cm, I=1A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=1.57e-04 T.

Q55. Coil N=100, R=20cm, I=1A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=3.14e-04 T.

Q56. Coil N=1, R=5cm, I=2A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=2.50e-05 T.

Q57. Coil N=5, R=5cm, I=2A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=1.26e-04 T.

Q58. Coil N=10, R=5cm, I=2A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=2.51e-04 T.

Q59. Coil N=20, R=5cm, I=2A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=5.03e-04 T.

Q60. Coil N=50, R=5cm, I=2A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=1.26e-03 T.

Q61. Coil N=100, R=5cm, I=2A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=2.51e-03 T.

Q62. Coil N=1, R=10cm, I=2A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=1.30e-05 T.

Q63. Coil N=5, R=10cm, I=2A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=6.30e-05 T.

Q64. Coil N=10, R=10cm, I=2A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=1.26e-04 T.

Q65. Coil N=20, R=10cm, I=2A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=2.51e-04 T.

Q66. Coil N=50, R=10cm, I=2A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=6.28e-04 T.

Q67. Coil N=100, R=10cm, I=2A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=1.26e-03 T.

Q68. Coil N=1, R=15cm, I=2A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=8.00e-06 T.

Q69. Coil N=5, R=15cm, I=2A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=4.20e-05 T.

Q70. Coil N=10, R=15cm, I=2A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=8.40e-05 T.

Q71. Coil N=20, R=15cm, I=2A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=1.68e-04 T.

Q72. Coil N=50, R=15cm, I=2A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=4.19e-04 T.

Q73. Coil N=100, R=15cm, I=2A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=8.38e-04 T.

Q74. Coil N=1, R=20cm, I=2A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=6.00e-06 T.

Q75. Coil N=5, R=20cm, I=2A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=3.10e-05 T.

Q76. Coil N=10, R=20cm, I=2A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=6.30e-05 T.

Q77. Coil N=20, R=20cm, I=2A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=1.26e-04 T.

Q78. Coil N=50, R=20cm, I=2A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=3.14e-04 T.

Q79. Coil N=100, R=20cm, I=2A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=6.28e-04 T.

Q80. Coil N=1, R=5cm, I=3A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=3.80e-05 T.

Q81. Coil N=5, R=5cm, I=3A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=1.88e-04 T.

Q82. Coil N=10, R=5cm, I=3A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=3.77e-04 T.

Q83. Coil N=20, R=5cm, I=3A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=7.54e-04 T.

Q84. Coil N=50, R=5cm, I=3A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=1.88e-03 T.

Q85. Coil N=100, R=5cm, I=3A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=3.77e-03 T.

Q86. Coil N=1, R=10cm, I=3A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=1.90e-05 T.

Q87. Coil N=5, R=10cm, I=3A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=9.40e-05 T.

Q88. Coil N=10, R=10cm, I=3A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=1.88e-04 T.

Q89. Coil N=20, R=10cm, I=3A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=3.77e-04 T.

Q90. Coil N=50, R=10cm, I=3A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=9.42e-04 T.

Q91. Coil N=100, R=10cm, I=3A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=1.88e-03 T.

Q92. Coil N=1, R=15cm, I=3A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=1.30e-05 T.

Q93. Coil N=5, R=15cm, I=3A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=6.30e-05 T.

Q94. Coil N=10, R=15cm, I=3A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=1.26e-04 T.

Q95. Coil N=20, R=15cm, I=3A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=2.51e-04 T.

Q96. Coil N=50, R=15cm, I=3A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=6.28e-04 T.

Q97. Coil N=100, R=15cm, I=3A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=1.26e-03 T.

Q98. Coil N=1, R=20cm, I=3A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=9.00e-06 T.

Q99. Coil N=5, R=20cm, I=3A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=4.70e-05 T.

Q100. Coil N=10, R=20cm, I=3A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=9.40e-05 T.

Q101. Coil N=20, R=20cm, I=3A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=1.88e-04 T.

Q102. Coil N=50, R=20cm, I=3A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=4.71e-04 T.

Q103. Coil N=100, R=20cm, I=3A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=9.42e-04 T.

Q104. Coil N=1, R=5cm, I=5A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=6.30e-05 T.

Q105. Coil N=5, R=5cm, I=5A. B at centre:

Difficulty: Medium · Topic: B field

Solution

B=μ₀NI/2R=3.14e-04 T.

Other Chapters in Physics

Ch 1: Electric Charges & FieldsCh 2: Electrostatic PotentialCh 3: Current ElectricityCh 5: Magnetism & MatterCh 6: Electromagnetic InductionCh 7: Alternating CurrentCh 8: Electromagnetic WavesCh 9: Ray OpticsCh 10: Wave OpticsCh 11: Dual Nature of RadiationCh 12: AtomsCh 13: NucleiCh 14: Semiconductor Electronics

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