The current through a circular wire loop of radius $13$ cm is $4\mathrm{.}0$ A$.$

$($a$)$

Calculate the magnetic dipole moment of the loop $($in A $$ m$2).($Enter the magnitude.$)$

A $$ m$2$

$($b$)$

What is the torque on the loop $($in N $$ m$)$ if it is in a uniform $0\mathrm{.}15$ T magnetic field such that

and

B

are directed at $30$ to each other? $($Enter the magnitude.$)$

N $$ m

$($c$)$

For this position, what is the potential energy of the dipole $($in J$)?$