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Faraday's Law

A conducting ...

Question

A conducting loop of face-area A and resistance R is placed perpendicular to a magnetic field B. The loop is withdrawn completely from the field. Find the charge which flows through any cross-section of the wire in the process. Note that it is independent of the shape of the loop as well as the way it is withdrawn.

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Solution

We know that $ϕ = B . A = B A c o s 0^{\circ} = B A$

$e = \frac{d ϕ}{d t} = \frac{B A}{i}$

$l = \frac{e}{R} = \frac{B A}{R}$

$ϕ = i T = \frac{B A}{R}$

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