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A small coin ...

Question

A small coin of N turns has an effective area A and carries a current I. It is suspended in a horizontal magnetic field B such that its plane is perpendicular to B.The work done in rotating it by $180$ about the vertical axis is:

A

N A I B

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B

2 N A I B

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C

2 π N A I B

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D

4 π N A I B

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Solution

The correct option is D $2 N A I B$
The work done in rotating the coin is given as:
$W = M B (cos θ_{1} - cos θ_{2})$

$= (N i A) B (cos 0^{o} - cos 180^{o})$

$= 2 N A I B$

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