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MHT CET 2020 (16 Oct, Shift 1) · Magnetic Flux & Faraday's Law

Magnetic Flux & Faraday's Law question from MHT CET 2020 (16 Oct, Shift 1)

Q69MHT CET 2020 · 16 OCT · SHIFT 1Easy

Magnetic Flux & Faraday's Law

A coil of $n$ turns and resistance $R\Omega$ is connected in series with a resistance $\frac{R}{2}$ . The combination is moved for time $t$ second through magnetic flux $\phi_1$ to $\phi_2$ . The induced current in the circuit is

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Answer: (b)

Total resistance $R + \frac{R}{2} = \frac{3R}{2}$
Emf $e = \frac{n(\phi_1 - \phi_2)}{t}$
$I = \frac{e}{3R/2} = \frac{2n(\phi_1 - \phi_2)}{3Rt}$
So the answer is (b) $\frac{2n(\phi_1 - \phi_2)}{3Rt}$ .

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