A straight wire carrying current I is made into a circular loop. If M is the magnetic moment associated with the loop, then the length of the wire is

Question

A straight wire carrying current I is made into a circular loop. If M is the magnetic moment associated with the loop, then the length of the wire is, L = M 4 π I, L = M 2 π L, L = 4 π M I, L = 4 π M ⋅ I

MARKS App · Accepted Answer

Let the length of the wire = L , then L = 2 π r Where, r = radius of the loop. ∴ r = L 2 π ∴ Area of the loop, A = π r 2 = π ⋅ L 2 4 π 2 = L 2 4 π Thus, magnetic moment of the loop, M = I A = I ⋅ L 2 4 π ∴ L = 4 π M I

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