A wire of length `L metre ` , carrying a current `I `ampere is bent in the form of a circle . The magnitude of its magnetic moment is …………. ` MKS units ` .

Options

A. `(L^(2)I^(2))/(4 pi)`
B. `(LI)/(4pi)`
C. `(L^(2)I)/(4 pi)`
D. `(LI^(2))/(4 pi)`

Answer

C

Explanation

Circumference of circle = `2 pi R`
`L = 2 pi R`
`R = (L)/(2 pi)`
Magnetic moment `(mu) = 1A = 1 xx (L^(2))/(4 pi^(2)) xx pi = (1L^(2))/(4 pi)`