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A uniform conducting ring of mass pi kg ...

A uniform conducting ring of mass `pi` kg and radiius 1m is kept on a smooth horizontal table, A uniform but time varying magnetic field T is present in the region where is in second and the positive y-axis is in vertically upward direction, `(g=10m//s^(2))`. Resistance of the ring in `2Omega`.

Heat generated in the rings up to the instant when rings starts toppling is

A

`1/(3pi)kJ`

B

`2/(pi)kJ`

C

`2/(3pi)kJ`

D

`1/(pi)kJ`

Text Solution

Verified by Experts

The correct Answer is:
C

Heat generated
`H=int_(0)^(10//pi) I^(2)Rd=int_(0)^(10//pi) pi^(2)t^(2)xx2xxdt`
`=2000/(3pi)J=2/(3pi)kJ`
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