A three-phase, wye-connected, cylindrical-rotor, synchronous motor, with negligible armature resistance and a synchronous reactance of 1.27 Ω per phase, is connected in parallel with a three phase, wye-connected load taking 50 A at 0.707 lagging power factor from a three-phase, 220-V, 60-Hz source. If the power developed by the motor is 33 kW at a power angle of 30°, determine:
(a) The overall power factor of the motor and the load.
(b) The reactive power of the motor.