Two coils have a mutual inductance of 0.004 H. The current changes in the first coil according to equation I = I₀ sin ω t, where I₀ = 10 A and ω = 50π rad s⁻¹. The maximum value of e.m.f. in the second coil in volt is (a) 5π (b) 4π (c) 2.5π (d) 2π

Answer: (d). emax = M(dI/dt)max = MI₀ω emax = 0.004 × 10 × 50π = 2π V So the answer is (d) 2π.

Two coils have a mutual inductance of 0.004 H. The current changes in… | MHT CET 2023 (12 May, Shift 1)

Q36MHT CET 2023 · 12 MAY · SHIFT 1Easy

Mutual Inductance

Two coils have a mutual inductance of $0.004\text{ H}$ . The current changes in the first coil according to equation $I = I_0 \sin \omega t$ , where $I_0 = 10\text{ A}$ and $\omega = 50\pi\text{ rad s}^{-1}$ . The maximum value of e.m.f. in the second coil in volt is

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Answer: (d)

$e_{max} = M\left(\dfrac{dI}{dt}\right)_{max} = MI_0\omega$
$e_{max} = 0.004 \times 10 \times 50\pi = 2\pi\text{ V}$
So the answer is (d) $2\pi$ .

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