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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^(2)Ihatk`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
`B`
`[B] M =((a^(2) + pi((a)/(2))^(2))/(2) xx4)I = a^(2) (1 +(pi)/(2))xxI`
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