A coil having n turns and resistance R Ω is connected with a galvanometer of resistance 4R Ω. This combination is moved in time t
seconds from a magnetic field W₁ weber to W₂ weber. The induced current in the circuit is

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- \frac{(W_{1} - W_{2})}{Rnt}

$- \frac{n (W_{2} - W_{1})}{5 Rt}$

$- \frac{(W_{2} - W_{1})}{5 Rnt}$

$- \frac{n (W_{2} - W_{1})}{Rt}$

answer is B.

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Detailed Solution

$\begin{matrix} \frac{d ϕ}{dt} = \frac{(W_{2} - W_{1})}{t} R_{tot} = (R + 4 R) Ω = 5 RΩ \\ i = \frac{nd φ}{R_{tot} dt} = \frac{- n (W_{2} - W_{1})}{5 Rt} \end{matrix}$ ( W₂ & W₁ are magnetic flux)

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