A permanent magnet has a magnetic dipole moment of $0\mathrm{.}130$ A $$ m$2.$ The magnet is in the presence of an external uniform magnetic field $($provided by current$-$carrying coils$)$ with a magnitude of $0\mathrm{.}0800$ T$,$ which makes an angle of $37\mathrm{.}0\backslash$deg with the orientation of the permanent magnet.

$($a$)$

What is the magnitude of the torque $($in N $$ m$)$ on the permanent magnet?

N $$ m

$($b$)$

What is the potential energy $($in J$)$ of the system consisting of the permanent magnet and the magnetic field provided by the coils?

J

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To calculate the torque and potential energy of a permanent magnet in the presence of an exte... View the full answer