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

Options

A. `a^(2)Ihat(k)`
B. `((pi)/(2)+1)a^(2)Ihat(k)`
C. `-((pi)/(2)+1)a^(2)Ihat(k)`
D. `(2pi+1)a^(2)Ihat(k)`

Answer

2

Explanation

Area `=a^(2)+4xx(pi((a)/(2))^(2))/(2)=a^(2)+(pia^(2))/(2)`
`A=(a+(pi)/(2))a^(2)hat(k),M=niA`