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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

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

B

`(LI)/(4pi)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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)`
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Knowledge Check

  • A wire of length 1 metre carrying a current of I ampere is bent in the form of a circle. Magnitude of its magnetic moment will be

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