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Properties of Field Lines

A magnetic di...

Question

A magnetic dipoler of magnetic moment 'm" is rotated through 180 $^{\circ}$ in a uniform magnetic field B, the work done may be.

A

ZERO

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B

3MB

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C

2MB

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D

0.75MB

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Solution

The correct option is C 2MB
Given,
$θ_{1} = 0^{0}$
$θ_{2} = 180^{0}$
The work done by the magnetic field $B$ is
$W = M B (c o s θ_{1} - c o s θ_{2})$
$W = M B (c o s 0^{0} - c o s 180^{0})$
$W = M B [1 - (- 1)] = 2 M B$

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