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Electromagnetic Induction and Alternating Currents

JEE Physics · 160 questions. Try each one, then check the answer and solution.

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Q41. AI-generated practice Single-correct MCQ Easy

One henry is equal to:

Q42. AI-generated practice Single-correct MCQ Easy

The self-inductance of a long air-cored solenoid of N turns, length l and cross-sectional area A is:

Q43. AI-generated practice Single-correct MCQ Medium
A long air-cored solenoid has 500 turns, length 0.5 m and cross-sectional area 4 × 10-4 m2. Its self-inductance is about (μ0 = 4π × 10-7 T m/A):
Q44. AI-generated practice Single-correct MCQ Medium

The current through an inductor of 2 H falls uniformly from 3 A to 1 A in 0.1 s. The magnitude of the induced emf is:

Q45. AI-generated practice Single-correct MCQ Medium

The energy stored in an inductor of 0.5 H carrying a current of 4 A is:

Q46. AI-generated practice Single-correct MCQ Medium

The number of turns of a long solenoid is doubled, keeping its length and area of cross-section unchanged. Its self-inductance becomes:

Q47. AI-generated practice Single-correct MCQ Hard

The mutual inductance between two coils is 0.5 H. If the current in the primary changes at 4 A/s, the emf induced in the secondary is:

Q48. AI-generated practice Single-correct MCQ Hard

Two coils have self-inductances of 4 mH and 9 mH and are perfectly coupled (coupling coefficient 1). Their mutual inductance is:

Q49. AI-generated practice Single-correct MCQ Easy

Self-inductance plays the same role in electrical circuits as:

Q50. AI-generated practice Single-correct MCQ Medium
The energy density of a magnetic field of 1 T in vacuum is about (μ0 = 4π × 10-7 T m/A):
Q51. AI-generated practice Single-correct MCQ Hard

Inductors of 3 mH and 6 mH are connected in parallel, placed far apart so that their mutual inductance is negligible. The equivalent inductance is:

Q52. AI-generated practice Single-correct MCQ Medium

A coil of inductance 0.2 H and resistance 10 Ω is connected to a battery. The time constant of the circuit is:

Q53. AI-generated practice Single-correct MCQ Hard

When an LR circuit is connected to a DC source, the current one time constant after switching on is about what percentage of its final value?

Q54. AI-generated practice Single-correct MCQ Medium

The mutual inductance of a pair of coils does NOT depend on:

Q55. AI-generated practice Numerical value Easy

The current in a coil of inductance 0.4 H changes at a rate of 50 A/s. Find the magnitude of the self-induced emf in volt.

Q56. AI-generated practice Numerical value Medium
Find the energy stored in a 200 mH inductor carrying a current of 3 A, in units of 10-1 J.
Q57. AI-generated practice Numerical value Medium

Two coils have a mutual inductance of 0.25 H. The current in the first coil drops uniformly from 10 A to zero in 0.05 s. Find the emf (in volt) induced in the second coil.

Q58. AI-generated practice Numerical value Hard

An inductor stores 8 J of energy when it carries a current of 2 A. Find the emf (in volt) induced in it when the current changes at 3 A/s.

Q59. AI-generated practice Assertion–Reason Medium
Assertion (A): An inductor opposes any change in the current through it.
Reason (R): A changing current in an inductor induces an emf in it that opposes the change.
Q60. AI-generated practice Assertion–Reason Hard
Assertion (A): The self-inductance of an air-cored coil does not depend on the current flowing through it.
Reason (R): The self-inductance of a coil depends only on its resistance.