A current i = 10sin (100π t) A is passed in first coil, which induces a maximum e.m.f. 5π V in second coil. The mutual inductance between the coils is (a) 10 mH (b) 15 mH (c) 25 mH (d) 5 mH

Answer: (d). e = Mdi/dt, so emax = M I₀ ω. 5π = M × 10 × 100π ⇒ M = 5× 10⁻³ H So the answer is (d) 5 mH.

A current i = 10sin (100π t) A is passed in first coil, which induces… | MHT CET 2026 (14 May, Shift 1)

Q2MHT CET 2026 · 14 MAY · SHIFT 1Easy

Mutual Inductance

A current $i = 10\sin(100\pi t)$ A is passed in first coil, which induces a maximum e.m.f. $5\pi$ V in second coil. The mutual inductance between the coils is

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Answer: (d)

$e = M\dfrac{di}{dt}$ , so $e_{\max} = M I_0 \omega$ .
$5\pi = M \times 10 \times 100\pi \Rightarrow M = 5\times 10^{-3}$ H
So the answer is (d) $5$ mH.

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