A 6.6 kV, 5 MVA, 6-pole, 50 Hz, star-connected synchronous generator has Xa = 8.7 Q per phase and X = 4.35 Q per phase. If the excitation is so adjusted that EF = 11 kV (line) and the load angle is 30e, determine: (a) the power factor, output current and power in per unit; (b) the direct-axis and quadrature-axis currents; (c) the synchronizing torque in Nm per mechanical radian for a load angle of 30e. [(a) 0.987 lagging, 1.282 p.u., 1.265 p.u. (b) 0.80 p.u., 1.0 p.u. (c)2.78 x 105 Nm/mech. rad]