A 480-V, 60 Hz, 400-hp 0.8-PF-leading eight-pole delta-connected synchronous motor has a synchronous reactance of 0.6 and negligible armature resistance. Ignore its friction, windage, and core losses for the purposes of this problem. Assume that EA is directly proportional to the field current IF (in other words, assume that the motor operates in the linear part of the magnetization curve), and that EA =480 V when IF = 4 A.(a) What is the speed of this motor.(b) If this motor is initially supplying 400 hp at 0.8 PF lagging, what are the magnitudes and angles of EA and IA.(c) How much torque is this motor producing? What is the torque angle .How near is this value to the maximum possible induced torque of the motor for this field current setting.(d) If EA is increased by 30 percent, what is the new magnitude of the armature current? What isthe motor's .new power factor