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RE-NEET2026Physics-Electromagnetic Induction

RE-NEET 2026 Physics Inductors in Circuits MCQ Question

Type: MCQ-numerical-Medium-Class 12

Two identical inductors are connected in two different configurations P and Q, where a time varying current I(t) is flowing, as shown in the figure. The induced emf between points a and b for configuration P is E_P and that for configuration Q is E_Q. The ratio E_P/E_Q is : [Neglect the effect of mutual inductance.]

Question diagram
A

1/2

B

1

C

2

D

1/4

Correct Answer

Option C

Detailed Explanation

The emf is measured between a and b, so what matters is which coils lie between those two points.

In P the two inductors are in series and a, b straddle only the first one, which carries the whole current:

EP=LdIdtE_P = L\frac{dI}{dt}

In Q the two inductors are in parallel and a, b straddle the pair. Identical coils split the current equally, so each carries I/2I/2:

EQ=Ld(I/2)dt=L2dIdtE_Q = L\frac{d(I/2)}{dt} = \frac{L}{2}\frac{dI}{dt}

EPEQ=2\frac{E_P}{E_Q} = 2

A ratio of 4 comes from taking a, b across both series coils; 12\frac{1}{2} and 14\frac{1}{4} invert the comparison.

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