A 208-V Y connected three phase synchronous motor has a synchronous reactance of 4O per phase and negligible armature winding resistance. At a certain load the motor take 7.2kW at 0.8 pf lagging. If the power developed by the motor remains the sam while the excitation voltage is incresae by 50% by rasing the field excitation, determine:
a. The new armature current
b. The power factor