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A conducting circular loop is placed in ...

A conducting circular loop is placed in a uniform magnetic field `0.04T` with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at `2mm//sec` . The induced emf in the loop when the radius is `2cm` is

A

3.2 `pimuV`

B

4.8 `pimuV`

C

0.8 `pimuV`

D

1.6 `pimuV`

Text Solution

Verified by Experts

The correct Answer is:
A

`|e|=(dvarphi)/dt=B(dA)/dt=Bd/dt(pir^(2))`
`rArr|e|=2piBr(dr)/dt`
`rArr|e|=2pixx0.04xx2xx10^(-2)xx2xx10^(-3)`
= `3.2pixx10^(-6)V=3.2pimuV`.
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