A208-v, 45-riva, 0.85 pf-leading, y connected, 60-hz synchronous machine has a synchronous reactance of2.5 ohm and a negligible armature resistance. its friction and windage losses are 1.5 kw, and its core losses are 1.2 kw. initially, the shaft is supplying a 15-hp load, and the motor's power factor is 0.85 leading. a) sketch the phasor diagram of this motor, and find the values of ia, il and ea b) assume that the shaft load is now increased to 30 hp c) find the values of ia, il and ea after the load change. what is the new motor power factor?