A 460-V, three-phase,60-Hz system supplies power to a 10-kVA, delta-connected resistor load; a 50-kVA, 0.86 power factor induction motor, and a wye-connected synchronous motor that is operating at 0.62 power factor leading and has a synchronous impedance of 6.05ohm/phase. If the system is operating at unity power factor; determine:
(a) active and reactive components of synchronous motor power
(b) synchronous motor current
(c) excitation line current