$6)$ A rectangular coil consists of N $=100$ closely wrapped turns and hasdimensions a $=0\mathrm{.}400$ m and b $=0\mathrm{.}300$ m$.$ The coil is hinged along the y axis, andits plane makes an angle $=30\mathrm{.}0\backslash$deg with the x axis, as shown in the figure below.a$)$ What is the magnitude of the torque exerted on the coil by a uniform magneticfield B $=0\mathrm{.}800$ T directed along the x axis when the current is I $=1\mathrm{.}20$ A in thedirection shown?b$)$ What is the expected direction of rotation of the coil? Answer: a$)9\mathrm{.}98$N