You wind a square coil $0\mathrm{.}125$ m on a side from a $5\mathrm{.}00-m$ long piece of wire that has a mass of $0\mathrm{.}100$ kg $.$ You then suspend the coil from one side $($with a hinge arrangement$)$ in a $0\mathrm{.}0400$ T magnetic field directed vertically upward by running a current of $3\mathrm{.}70$ A through the coil as shown.

$($a$)$ When the coil is in rotational equilibrium, determine the angle that the plane of the coil makes with the vertical.

$36.$

How does the magnitude of the torque due to the force of gravity compare to the magnitude of the torque due to the magnetic force? How is torque defined? Where does the force of gravity act on each segment of the square coil? How is the direction of the perpendicular to the coil determined? How is the angle between the direction of the magnetic field and the perpendicular to the coil related to the angle between the vertical and the plane of the coil? $$ with respect to the vertical

$($b$)$ Determine the magnitude of the torque acting on the coil due to the magnetic force.

$0\mathrm{.}002316$

How does the magnitude of the torque due to the force of gravity compare to the magnitude of the torque due to the magnetic force? Check algebra and values. $N-m$

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