a) What is the net force (both magnitude and direction) on the square loop (as a function of θ)? Clearly mark the forces on the vertical current carrying segments for θ = 0, 45 and 90 degrees. (b) What is the net torque (both magnitude and direction) on the square loop (as a function of θ)? At what θ is the magnitude of the torque on the loop maximum? (c) Now consider the electric dipole introduced in an earlier problem (problem 4). Think of it as a rod of length d with charges +q and −q at its ends. What is the net force on it in an arbitrary external electric field E~ (assumed constant). What is the net torque on it (about the origin)? Is your answer for the torque consistent with the expression ~τ = ~p × E~ ?. (d) Define the “magnetic moment” to be ~µ = IA~. Note that the area vector points perpendicular to the plane and follows the right hand rule (curl the fingers of your right hand in the direction that traces the current in the loop, the thumb is the direction of the area vector). Taking inspiration from (c), write a general expression for the net torque on the loop in terms of ~µ and B~ .