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A circular coil of 100 turns and effecti...

A circular coil of 100 turns and effective diameter `20cm` carries a current of `0.5A`. It is to be turned in a magnetic field of `B=2.0T` from a position in which the normal to the plane of the coil makes an angle `theta` equals to zero to one in which `theta` equals to `180^(@)`. Thw work required in this process is

A

`pi J`

B

`2 pi J`

C

`4 pi J`

D

`8 pi J`

Text Solution

Verified by Experts

The correct Answer is:
B
We know that work done is given by : `W=NiAB(cos 0^(@)-cos 180^(@))` `=100 xx 0.5 xx pi xx (0.1)^(2)`
`xx 2(1-cos 180^(@))=2 pi J`
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