devarshi-dt-logo

Question:

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

(π2+1)a2I^k

−(π2+1)a2I^k

(2π+1)a2I^k

a2I^k

Solution:

Magnetic moment(M)=I.A=I×(2×π/4a²+a²)=(π²/2+1)a²I^k