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A loop carrying current I lies in the x...

A loop carrying current `I` lies in the ` x-y ` plane as shown in the figure . The unit vector ` hat k` is coming out of the plane of the paper . The magnetic moment of the current loop is

A

`a^2Ihatk`

B

`(pi/2+1)a^2Ihatk`

C

`-(pi/2+1)a^2Ihatk`

D

`(2pi+1)a^2Ihatk`

Text Solution

Verified by Experts

The correct Answer is:
b
Area `=a^2+4xx(pi(a/2)^2)/2 =a^2+(pia^2)/2`
`A=(1+pi/2) a^2hatk`
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