A wire is formed into a circle having a diameter of $17\mathrm{.}0$ cm and placed in a uniform magnetic field of $2\mathrm{.}90$ mT$.$ The wire carries a current of $5\mathrm{.}00$ A$.$

$($a$)$ Find the maximum torque on the wire.

$$N $$ m

$($b$)$ Find the range of potential energies of the wire$$field system for different orientations of the circle.

minimum $$J maximum $$J