A conducting loop of radius $R$ is present in a uniform magnetic field $B$ perpendicular the plane of the ring. If radius $R$ varies as a function of time t, as $R = R_{0} + t .$ The e.m.f induced in the loop is

2 π (R_{0} + t) B

clockwise

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π (R_{0} + t) B

clockwise

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2 π (R_{0} + t) B

anticlockwise

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zero

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Solution

The correct option is A $2 π (R_{0} + t) B$ clockwise
$ε = - \frac{d ϕ}{d t}$
$= - β \frac{d A}{d t} \Rightarrow | ε | = β π d (R_{0} + t)^{2}$
$= 2 π β (R_{0} + t)$
Since inward flux is increasing the EMF will be induced counter clock wise.

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