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A unifrom magnetic field B points vertic...

A unifrom magnetic field B points vertically up and is slowly changed in magnitude, but not in direction. the rate of change of the magnetic field is `alpha` .A conducting ring of radius r and resistance R is held perpendicular to the megnetic field, and is totally inside it. The induced current in the ring is

A

zero

B

`(2pieB)/(R)`

C

`(ralpha)/(R)`

D

`(pir^(2)alpha)/(R)`

Text Solution

Verified by Experts

The correct Answer is:
D
The magnitude of the induced emf in the ring is
`|epsi|=(dphi)/(dt)=(d)/(dt)(BA)=A(dB)/(dt)=pir^(2)alpha`
The induced current in the ring. `I=(|epsi|)/(R)=(pir^(2)alpha)/(R)`
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