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A circuit area 0.01m^(2) is kept inside ...

A circuit area `0.01m^(2)` is kept inside a magnetic field which is normal to its plane. The magentic field changes form 2 tesla in 1 millisecond. If the resistance of the circuit is `2omega`. The rate of heat evolved is

A

`5J//s`

B

`50J//s`

C

`0.05J//s`

D

`0.5J//s`

Text Solution

Verified by Experts

The correct Answer is:
B
Induced emf `,e=(-dphi)/(dt)`
`rArre=(-(phi_(2)-phi_(1)))/(t)=(-(0.01-0.02))/(1xx10^(-3))`
`e=0.01xx10^(3)=10` volt.
`V=IR or (10)/(2)=I:. I=5A`
Rate of heat evolved `=I^(2)R=(5)^(2)xx2=25xx2=50J//s`
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