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A short magnet placed with its axis at 3...

A short magnet placed with its axis at `30^(@)` with a uniform external magnetic field of `0.2` T experiences a torque of `4 xx 10^(-2)` J .
(a) Calculate the magnetic moment of the magnet .
(b) If the magnet were free to rotate , which orientations would correspond to its (i) stable and (ii) unstable equilibrium ? What is its potential energy in the field for cases (i) and (ii) ?

Text Solution

Verified by Experts

The correct Answer is:
(a) `0.4 J T^(-1)` (b) For stable equilibrium `vecm` is parallel to `vecB` and U = `-1.6 xx 10^(-2) J` For unstable equilibrium `vecm` is antiparallel to B and U = `+ 1.6 xx 10^(-2)J`
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