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MHT CET 2023 (11 May, Shift 1) · Mutual Inductance

Mutual Inductance question from MHT CET 2023 (11 May, Shift 1)

Q44MHT CET 2023 · 11 MAY · SHIFT 1Medium

Mutual Inductance

The mutual inductance of a pair of coils, each of ' $N$ ' turns, is ' $M$ ' henry. If a current of ' $I$ ' ampere in one of the coils is brought to zero in ' $t$ ' second, the e. m. f. induced per turn in the other coil in volt is

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Answer: (a)

$M$ is defined by total flux linkage: $N\phi_2 = MI$ , so total emf in the other coil $e = M\dfrac{I}{t}$
Emf per turn $= \dfrac{e}{N} = \dfrac{MI}{Nt}$
So the working gives (d) $\dfrac{MI}{Nt}$ ; the key gives (a) $\dfrac{MI}{t}$ , which is the total emf of the coil.

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