Q.

A conducting loop of radius R is present in a uniform magnetic field B perpendicular to the plane of ring. If radius R varies as a function of time t as  R=R0+t2. The emf induced in the loop is

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a

4πBt(R0+t2)  Clockwise

b

2πBt(R0+t2)  Clockwise

c

4πBt(R0+t2)  Anticlockwise

d

2πBt(R0+t2)  anticlockwise

answer is C.

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Detailed Solution

e=dϕdt=πBddt(R2)

e=πBddtR0+t22

e=πB2R0+t22t

as downward flux is increasing the induced current will produce magnetic field upward so current will be anticlockwise.

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