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A wire of length L metre , carrying a c...

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 ` .

A

`(IL)/(4pi)`

B

`(I^2L)/(4pi)`

C

`(IL^2)/(4pi)`

D

`(IL^2)/(pi)`

Text Solution

Verified by Experts

The correct Answer is:
C

`M= n I A =IA=I pi r^2`
Here `L= 2pi r rArr r=(L)/(2pi)`
`M=I pi ((L)/(2pi))^2=(IL^2)/(4pi)` .
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