The armature resistance and armature reactance of a 2.5MVA, 10kV, Y- connected, 8 pole Synchronous Motor respectively are 50/phase and 150/phase. Determine the excitation voltage, power input, power output, total losses and efficiency at half of the rated load of machine and at a power factor of 0.6 leading. The total mechanical losses in the machine are 1.2kW and draw the phasor diagram. Write any assumptions made in doing above calculations. (10Marks)