Two coils have a mutual inductance of 0.01 H. The current in the first coil changes according to equation, I = 5sin 200π t. The maximum value of emf induced in the second coil is (a) 10π V (b) 0.1π V (c) π V (d) 0.01π V

Answer: (a). emax = MI₀ω with I₀ = 5 A, ω = 200π rad/s emax = 0.01 × 5 × 200π = 10π V So the answer is (a) 10π V.

Two coils have a mutual inductance of 0.01 H. The current in the… | MHT CET 2019 (2 May, Shift 1)

Q54MHT CET 2019 · 2 MAY · SHIFT 1Easy

Mutual Inductance

Two coils have a mutual inductance of 0.01 H. The current in the first coil changes according to equation, $I = 5\sin 200\pi t$ . The maximum value of emf induced in the second coil is

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Answer: (a)

$e_{max} = MI_0\omega$ with $I_0 = 5\text{ A}$ , $\omega = 200\pi\text{ rad/s}$
$e_{max} = 0.01 \times 5 \times 200\pi = 10\pi\text{ V}$
So the answer is (a) $10\pi\text{ V}$ .

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Mutual Inductance question from MHT CET 2019 (2 May, Shift 1)

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