The rotor in a certain electric motor is a flat, rectangular coil with turns n = of wire and dimensions cm by cm. The rotor rotates in a uniform magnetic field of b = T. When the plane of the rotor is perpendicular to the direction of the magnetic field, the rotor carries a current of i = A. In this orientation, the magnetic moment of the rotor is directed opposite the magnetic field. The rotor then turns through one half revolution. This process is repeated to cause the rotor to turn steadily at an angular speed of w = rev/min.
(a) Find the maximum torque acting on the rotor.
(b) Find the peak power output of the motor.
(c) Determine the amount of work performed by the magnetic field on the rotor in every full revolution.
(d) What is the average power of the motor?