A rectangular loop of wire 2030 cm laying in xy-plane with long side parallel to x-axis and carrying a current 2A in counterclockwise direction is in...

A rectangular loop of wire 20×30 cm laying in xy-plane with long side parallel to x-axis and carrying a current 2A in counterclockwise direction is in the region where a uniform magnetic field −1.6Tk̂ is produced by an electromagnet.

a) Calculate the force (magnitude and direction) exerted on each side of the loop

b) calculate the net force and net torque on the loop

c) repeat parts a and b after the loop is rotated through the angle 30 degrees about the axis through its center and parallel to y-axis.