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Q.

The radius of a coil decreases steadily at the rate of 10-2 m/s. A constant and uniform magnetic field of induction 10-3 Wb/m2 acts perpendicular to the plane of the coil. The radius of the coil when the induced emf in the coil is 1μV is :

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a

2πcm

b

3πcm

c

4πcm

d

5πcm

answer is D.

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Detailed Solution

e=dϕdt=ddtπr2B=2πrBdrdt⇒r=e2πBdrdt ⇒r=10-62π x 10-3 x 10-2=5πcm
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