A 5000-hp, 60-Hz, 1200-rpm, 4.1-kV, three-phase, Y-connected overexcited synchronous motor draws the armature current of 800 A

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A 5000-hp, 60-Hz, 1200-rpm, 4.1-kV, three-phase, Y-connected overexcited synchronous motor draws the armature current of 800 A at 0.85 leading power factor under rated load. It has a synchronous reactance of 1.5 Ω/ph and negligible resistance. Determine 

(1) The counter emf  Ẽf

(2) The torque angle δ, and 

(3) The mechanical angle between the center lines of the rotor and stator magnetic fields.

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