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A uniform conducting ring of mass pi kg ...

A uniform conducting ring of mass `pi` kg and radius 1 m is kept on smooth horizontal table. A uniform but time varying magnetic field `B = (hat (i) + t^(2) hat (j))T` is present in the region, where t is time in seconds. Resistance of ring is `2 (Omega)`. Then

Heat generated (in kJ) through the ring till the instant when ring start 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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