Two coils P and Q have mutual inductance 'M' H. If the current in the coil P is I = I₀ sin ω t, then the maximum value of e.m.f. induced in coil Q is (a) (ω)/(M I₀) (b) (Mω)/(I₀) (c) Mω I₀ (d) (M I₀)/(ω)

Answer: (c). eQ = -MdI/dt = -M I₀ ω cos ω t Maximum value when |cos ω t| = 1: emax = Mω I₀. So the answer is (c).

Two coils P and Q have mutual inductance 'M' H. If the current in the… | MHT CET 2026 (13 Apr, Shift 1)

Q6MHT CET 2026 · 13 APR · SHIFT 1Easy

Mutual Inductance

Two coils P and Q have mutual inductance 'M' H. If the current in the coil P is $I = I_0 \sin \omega t$ , then the maximum value of e.m.f. induced in coil Q is

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Answer: (c)

$e_Q = -M\dfrac{dI}{dt} = -M I_0 \omega \cos\omega t$
Maximum value when $|\cos\omega t| = 1$ : $e_{\max} = M\omega I_0$ .
So the answer is (c).

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Mutual Inductance question from MHT CET 2026 (13 Apr, Shift 1)

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