Q.

A metallic ring of radius 1 m is placed in a uniform magnetic field of induction 1μT  with its plane perpendicular to the direction of magnetic field. Now the radius of the ring is halved in a time interval of 0.1 second. Then average emf induced in the ring is

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a

7.5 μV

b

12 πμV

c

25 πμV

d

15.5 πμV

answer is A.

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Detailed Solution

Average emf =B.πr2  −  B.πr/22Δt=34  πr2.  BΔt=34  π12 .  10.1  μV=   7.5   π μ.V
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A metallic ring of radius 1 m is placed in a uniform magnetic field of induction 1μT  with its plane perpendicular to the direction of magnetic field. Now the radius of the ring is halved in a time interval of 0.1 second. Then average emf induced in the ring is