A 2300-V, three-phase, wye-connected, round rotor synchronous motor has a synchronous reactance of 3 Ω per phase and an armature resistance of 0.25 Ω per phase. The motor operates on load with a power angle of -15°, and the excitation is adjusted so that the internally induced voltage is equal in magnitude to the terminal voltage. Determine:
(a) The armature current.
(b) The power factor of the motor.
Neglect the effect of armature resistance.