A conductor carries a constant current I  along the closed path abcdefgha involving 8 of the 12 edges of length l . Find the magnetic dipole moment of the closed path.

Closed path is a superposition of the loops bcfgb, abgha, and cdefc.∴The magnetic moments of the three loops areloop -1(bcfgb) m¯1=i l2j^ loop -2 (abgha) m¯2=−l2i i^ loop - 3(cdefc) m¯3=+l2i i^ ∴ M¯net=M¯1+M¯2+M¯3 = i l2j^−l2i i^+l2i i^= i l2j^