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A square loop OABCO of side I carries a ...

A square loop OABCO of side I carries a current i. It is placed as shown figure.Find the magnetic moment of the loop

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Magnetic moment `vec(M) = ivec(A)`
`vec(A) = vec(AB) xx vec(BC)`
`vec(AB) = l cos 30^(@) hat(i) + l sin 30^(@)k`
`vec(BC) = -l hat(j)`
`vec(A) = (l cos 30^(@) hat(i) + l sin 30^(@)k) xx (-l hat(j))`
`= -l^(2) (sqrt3)/(2) hat(k) + (l^(2))/(2) hat(i)`
So magnetic moment `vec(M) = ivec(A)`
`= (il^(2))/(2) [hat(i) - sqrt3 hat(k)]`
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