A $25-$loop circular coil $20$ cm in diameter lies in the $xy$ plane. The current in each loop of the coil is $5\mathrm{.}6$ A clockwise, and an external magnetic field vec$(B)=(0\mathrm{.}6$hat$(i)+0\mathrm{.}6$hat$(j)-0\mathrm{.}9$hat$(k))T$ passes through the coil.

Part A

Determine the magnetic moment of the coil, vec$(),$ in a component form.

Express your answers in ampere$-$square meters separated by commas.

${}_x,{}_y,{}_z=$

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$A*m^2$

Part B

Determine the torque on the coil due to the external magnetic field in a component form.

Express your answers in newton$-$meters separated by commas.

$N*m$

Part C

Determine the potential energy $U$ of the coil in the field $($take $U=0$ at $=\frac{}{2}).$

Express your answer in Joules.

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