Two coils have a mutual inductance of 0.005 H. The current changes in the first coil according to equation I = I₀ sin ω t, where I₀ = 10 A and ω = 60π rad s ⁻¹. The maximum values of e.m.f. in the second coil in volt will be (a) 2π (b) 3π (c) 4π (d) 6π

Answer: (b). emax = M I₀ ω emax = 0.005 × 10 × 60π = 3π V So the answer is (b) 3π.

Two coils have a mutual inductance of 0.005 H. The current changes in… | MHT CET 2026 (18 Apr, Shift 1)

Q4MHT CET 2026 · 18 APR · SHIFT 1Easy

Mutual Inductance

Two coils have a mutual inductance of $0.005$ H. The current changes in the first coil according to equation $I = I_0 \sin \omega t$ , where $I_0 = 10$ A and $\omega = 60\pi$ rad s ${}^{-1}$ . The maximum values of e.m.f. in the second coil in volt will be

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Answer: (b)

$e_{\max} = M I_0 \omega$
$e_{\max} = 0.005 \times 10 \times 60\pi = 3\pi$ V
So the answer is (b) $3\pi$ .

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