A solenoid is used as a rotor of an electrical motor. It is 10 cm long and 2 cm in diameter. The wire wrapped around it makes 1000 turns and has a resistance of 100 Ohms. The permanent magnets in the motor create a uniform magnetic field of 1000G and the voltage driving the motor is 12 VDC. If the motor runs at 120 rpm, find
(a) the current in the wire
(b) the magnetic moment of the solenoid
(c) the magnetic potential enerft when the magnetic moment is opposite the field
(d) the change in magnetic potential energy for each half rotation
(e) the magnetic power delivered by the motor
(f) the electrical power delivered by the battery
(g) the electrical power dissipated by the resistor in the form of heat
(h) Which of these answers would change if the motor rotated faster?
(i) Are your answers consistent with the law of conservation of energy? Explain.