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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)Rdt=int_(0)^((10)/(pi))pi^(2)t^(2)xx2xxdt`
`=(2000)/(3pi)J=(2)/(3pi)kJ`
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