Two coils A and B have mutual inductance 0.008 H. The current changes in the coil A, according to the equation I = Im sin ω t, where Im = 5 A and ω = 200π rad s⁻¹. The maximum value of the e.m.f. induced in the coil B in volt is (a) 4π (b) 8π (c) 10π (d) 16π

Answer: (b). emax = M(dI/dt)max = MImω emax = 0.008 × 5 × 200π = 8π V So the answer is (b) 8π.

Two coils A and B have mutual inductance 0.008 H. The current changes… | MHT CET 2023 (9 May, Shift 2)

Q37MHT CET 2023 · 9 MAY · SHIFT 2Easy

Mutual Inductance

Two coils $A$ and $B$ have mutual inductance 0.008 $\text{H}$ . The current changes in the coil A, according to the equation $I = I_m \sin \omega t$ , where $I_m = 5\text{ A}$ and $\omega = 200\pi\text{ rad s}^{-1}$ . The maximum value of the e.m.f. induced in the coil $B$ in volt is

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Answer: (b)

$e_{max} = M\left(\dfrac{dI}{dt}\right)_{max} = MI_m\omega$
$e_{max} = 0.008 \times 5 \times 200\pi = 8\pi\text{ V}$
So the answer is (b) $8\pi$ .

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Mutual Inductance question from MHT CET 2023 (9 May, Shift 2)

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