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Question

A straight steel wire of length L has a magnetic moment M. When it is bent in the form of a semi-circle its magnetic moment will be

A
M
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B
Mπ
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C
2Mπ
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D
Mπ
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Solution

The correct option is B 2Mπ
Initial magnetic moment M=ml
when it is bent in a semi circular wire the effective length between the poles become 2R
where πR=l
R=l/π
Therefore, new Mnew=mleff=m×2×R=m×2×lπ=2Mπ

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