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Question

A uniform but time-varying magnetic field B(t) exists in a circular region of radius a and is directed into the plane of the paper, as shown in the figure. The magnitude of the induced electric field at a point P at a distance r from the center of the circular region -


A
is zero
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B
decreases as 1/r
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C
increases as r
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D
decreases as 1/r2
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Solution

The correct option is B decreases as 1/r

From Faraday's Law of Electromagnetic Induction,

E.dl=dϕBdt

For ra

E(2πr)=πa2dBdt

E=a22rdBdt

E1r

Hence, option (B) is the correct answer.

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