Two Y-connected, three-phase, synchronous generators supply a load of 415.68 kW at a terminal voltage of 3000 V and a lagging power factor of 0.8. The synchronous impedance of generator A is 0.5 +j5 Ω/phase and that of generator B is 0.2 + 110 Ω/phase. The field excitation and the mechanical power input of generator A are so adjusted that it delivers half the power at a unity power factor. Determine (a) the current, (b) the power factor, (c) the per-phase generated voltage, and (d) the power angle of each generator.