A current I = 10sin (100π t) ampere, is passed in a coil which induces a maximum emf 5π volt in neighbouring coil. The mutual inductance of two coils is (a) 5 mH (b) 10 mH (c) 15 mH (d) 25 mH

Answer: (a). emax = MI₀ω with I₀ = 10 A, ω = 100π rad/s M = emaxI₀ω = (5π)/(10 × 100π) = 5 × 10⁻³ H So the answer is (a) 5 mH.

A current I = 10sin (100π t) ampere, is passed in a coil which… | MHT CET 2021 (24 Sep, Shift 2)

Q49MHT CET 2021 · 24 SEP · SHIFT 2Easy

Mutual Inductance

A current $I = 10\sin(100\pi t)$ ampere, is passed in a coil which induces a maximum emf $5\pi$ volt in neighbouring coil. The mutual inductance of two coils is

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Answer: (a)

$e_{max} = MI_0\omega$ with $I_0 = 10\text{ A}$ , $\omega = 100\pi\text{ rad/s}$
$M = \dfrac{e_{max}}{I_0\omega} = \dfrac{5\pi}{10 \times 100\pi} = 5 \times 10^{-3}\text{ H}$
So the answer is (a) $5\text{ mH}$ .

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Mutual Inductance question from MHT CET 2021 (24 Sep, Shift 2)

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