A circular loop and a square loop are formed from the same wire and the same current is passed through them. Find the ratio of their dipole moments.

Step-by-step solution

Suppose, the length of wire is l . When, wire formed in circular loop then radius of loop, r= l 2 [ l=2 r] Magnet dipole, M₁=i A array l =i r²=i ( l 2 )² =i l² 4 array When, wire formed in square loop then the side of loop, a= l 4 Magnet dipole, M₂=I A aligned &=i a² &=i l² 16 M₁ M₂ &= 4 aligned