I.$$ A $3-$phase, $6-$pole, $50$Hz$,440$ volts, star connected salient pole synchronous motor has an armature resistance of $0\mathrm{.}52$ per phase and synchronous reactance of $3$ per phase. The motor develops $422$N$-$m torque when drawing full$-$load current at a power factor of $0\mathrm{.}8$ leading. The efficiency of the motor is $90\%$ at full$-$load. At rated load and power factor of $0\mathrm{.}8$ leading determine armature current drawn from the supply, power angle and the horse power supplied by the motor at full$-$load.

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