A 460-V, 50-kW, 60-Hz, three-phase synchronous motor has a synchronous reactance of Xs = 4.15 and

A 460-V, 50-kW, 60-Hz, three-phase synchronous motor has a synchronous reactance of Xs = 4.15 Ω and an armature-to-field mutual inductance, Laf = 83 mH. The motor is operating at rated terminal voltage and an input power of 40 kW. Calculate the magnitude and phase angle of the line-to-neutral generated voltage Eaf and the field current If if the motor is operating at

(a) 0.85 power factor lagging,

(b) Unity power factor, and

(c) 0.85 power factor leading.