A wire of length L metre carrying a current of i ampere is bent in the form of a circle. Its magnetic moment will be (a) iL/4π (b) iL^2/4π (c) i^2L^2/4π (d) i^2L/4π

L = 2πr

On calculating, we get,

r = L/2π

Magnetic moment is given by

M = IA

M = I.π.r2

Substituting r = L/2π we get,

M = I. π. (L/2π)2

We get,

M = IL2/4π

Hence, the correct option is (b)

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