A circular coil $17\mathrm{.}0cm$ in diameter and containing $12$ loops lies flat on the ground. The

Earth's magnetic field at this location has magnitude $5\mathrm{.}50{10}^{-5}T$ and points into the Earth

at an angle of $66$ below a line pointing due north. If a $7\mathrm{.}10-$A clockwise current passes

through the coil, $($a$)$ determine the torque on the coil, and $($b$)$ which edge of the coil rises up$.$

north, east, south or west.