two single-phase 60-hz sinusoidal-source

Question

Two single-phase 60-Hz sinusoidal-source generators (with negligible internal impedances) are supplying to a common load of 10 kW at 0.8 power factor lagging. The impedance of the feeder connecting the generator G₁ to the load is 1.4 + j1.6 , whereas that of the feeder connecting the generator G₂ to the load is 0.8 + j1.0 . If the generator G₁, operating at a terminal voltage of 462 V (rms), supplies 5 kW at 0.8 power factor lagging, determine:

(a) The voltage at the load terminals;

(b) The terminal voltage of generator G₂; and

(c) The real power and the reactive power output of the generator G₂.