First slide

Faraday's law of Electromagnetic induction

Question

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 :

Moderate

A

$\frac{W_{2} - W_{1}}{5 Rnt}$
B

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

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

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

Solution

Induced current = $\frac{e}{R} = \frac{1}{R} (- \frac{∆ ϕ}{∆ t})$
$= - \frac{1}{5 R} [\frac{{nW}_{2} - {nW}_{1}}{t}] = - n [\frac{W_{2} - W_{1}}{5 Rt}]$

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