A $200-$turn rectangular coil having dimensions of $3\mathrm{.}0$ cm by $6\mathrm{.}0$ cm is placed in a uniform magnetic field of magnitude $0\mathrm{.}89$ T$.$

$($a$)$ Find the current in the coil if the maximum torque exerted on it by the magnetic field is $0\mathrm{.}20$ N $$ m$.$

A

$($b$)$ Find the magnitude of the torque on the coil when the magnetic field makes an angle of $25$ with the normal to the plane of the coil.

N $$ m