A bar magnet with a magnetic moment 5 . 0 A m 2 is placed in parallel position relative to a magnetic field of 0 . 4 T . The amount of required work done in turning the magnet form parallel to antipar

Question

A bar magnet with a magnetic moment 5 . 0 A m 2 is placed in parallel position relative to a magnetic field of 0 . 4 T . The amount of required work done in turning the magnet form parallel to antiparallel position relative to the field direction is ________.

TestHub · Accepted Answer

For a bar magnet, the work done in turning from parallel to antiparallel position relative to the field direction is

$W = M B (\cos θ_{1} - \cos θ_{2})$ , here, $θ_{1} = 0 ° and θ_{1} = 180 °$ .

$W = - M B \cos 180 ° (- m B \cos 0 °)$

$W = 2 M B = 2 \times 5 \times 0.4 = 4 J$

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