A 208v, 45hp, 0.8 pf leading delta connected, 60Hz synchronous machine has a synchronous reactance 2.5 ohms and a negligible armature resistance. Its friction and windage losses are 1.5 kw, and its core losses are 1.0 kw. Initially the shaft is supply a 15hp load and the motor’s power factor is 0.8 leading. (a) sketch the phasor diagram of this motor and find the values of Ia, IL and Ea. (b) assume the shaft load is now increased to 30hp. Sketch the behavior of the phasor diagram in response to this change. (c) find Ia, Il and Ea after the load change. What is the new motor power factor ?​