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A circular ring of radius r is placed in...

A circular ring of radius `r` is placed in a homogeneous magnetic field perpendicular to the plane of the ring. The field `B` changes with time according to the equation `B=kt` where `K` is constant and r is the time. The electric field in the ring is:

A

`(Kr)/(4)`

B

`(Kr )/(3)`

C

`(Kr )/(2)`

D

`(K)/(2r)`

Text Solution

Verified by Experts

The correct Answer is:
C
`oint vecE. d vecl =- (d phi _(B))/( dt)`
` implies E 2pi r =- (d)/(dt) ( Kt xx pi r ^(2)) or E = (Kr \)/(2)`
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