A three-phase, 400V, star-connected synchronous machine is synchronized with an infinite bus bar at rated voltage. The synchronous machine is now made to deliver a shaft load of 9.5kW. The machine resistance is negligible and Xd = 5 per phase and Xq = 3.2 per phase. Friction windage and core losses account for 500W. For the shaft output, calculate (a) the power angle, armature current, and power factor, and (b) the maximum power output and the corresponding power angle.