A 3 phase 400 volt(line to line) wye connected synchronous motor has Xs= 1 ohm per phase and a negligible armature resistance. The field current is so adjusted that the internal(induced) voltage is 270volts per phase, while the motor draws 40 kw power from the source. Calculate the (a) power factor of the motor, and (b)  reactive power supplied by the motor to the source.

A 500 MVA, 33kv, three phase steam turbine generator has a synchronous reactance of 1.6 p.u. It delivers a rated output at 0.8 power factor lagging. Calculate (a) the synchronous reactance per phase, (b) rated load current of the machine, and (c) internal voltage drop and output voltage.

A synchronous motor has the following parameters per phase. E=2kv, Eo=5kv, X2=3ohms, and I=700amps. Draw the phasor diagram and determine (a) power angle delta, (b) active power(3phase), (c) reactive power(3phase), (d) power factor of the motor. If the load is removed suddenly, calculate (e) the new power angle and (f) new reactive power(3phase).