Question

A wire of length l metres carrying a current i amperes is bent in the form of a circle. The magnitude of the magnetic moment is

Answer 1

Answer:

The magnitude of the magnetic moment is iL²/4π

Explanation:

Magnetic Moment M is given by

M = iA

where,

A = Area of the coil

i = current in the coil

If the radius is r then

2πr = L

or r = L/2π

Therefore area = πr² = π ×  (L/2π)² = L²/4π

Thus the magnetic moment

M = (L²i)/4π

Hope this answer is helpful.