3) (15 pts) Consider a circular loop of wire which is in the xy-plane and centered on the origin. The loop has an area A and a current I which is owing around the loop in the clockwise direction as viewed from above the loop and looking in the -z-direction. An external magnetic eld 5" passes through the loop such that it causes a torque on the loop given by f = C (Si 3}") where C is a positive constant. In this particular orientation the magnetic potential energy is negative. The magnitude of the magnetic eld is given by B0 = 1 OC/IA. a) (5 pts) Find an expression for the vector magnetic moment of the loop in terms of I, A, and any necessary constants. b) (10 pts) Find expressions for the components Bx, By, and 32 of the magnetic eld E in terms of C, I, A, and any necessary constants