Question

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`

Answer 1

Correct Answer - `B`
`[B] M =((a^(2) + pi((a)/(2))^(2))/(2) xx4)I = a^(2) (1 +(pi)/(2))xxI`