A 3-phase, 2300 V, 60 Hz, 12-pole, Y-connected synchronous motor has 4.5 ? per phase synchronous reactance and negligible stator winding resistance. The motor is connected to an infinite bus and draws 250 A at 0.8 power factor lagging. Neglect rotational losses. a) Determine the output power. b) Determine the power to which the motor can be loaded slowly without losing synchronism. Determine the torque, stator current, and supply power factor for this condition.