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Question

A conducting circular loop is placed in a uniform magnetic field of 0.02 T, with its plane perpendicular to the field. If the radius of the loop starts shrinking at a constant rate of 1.0 mm/s, then find the emf induced in the loop, at the instant when the radius is 4 cm.

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Solution

induced EMF E=dϕdt,ϕ=A.B,A=πR2
this gives , E=BdAdt=πB×2RdRdt
=π×0.02×2×0.04×0.001
=16π×107V


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