Two three-phase generators supply a three-phase load through separate three-phase lines. The load absorbs \(30 \mathrm{~kW}\) at 0.8 power factor lagging. The line impedance is \((1.4+j 1.6) \Omega\) per phase between generator \(\mathrm{G}_{1}\) and the load, and \((0.8+j 1) \Omega\) per phase between generator \(\mathrm{G}_{2}\) and the load. If generator \(\mathrm{G}_{1}\) supplies \(15 \mathrm{~kW}\) at 0.8 power factor lagging, with a terminal voltage of \(460 \mathrm{~V}\) line-to-line, determine

(a) the voltage at the load terminals,

(b) the voltage at the terminals of generator \(\mathrm{G}_{2}\), and

(c) the real and reactive power supplied by generator \(\mathrm{G}_{2}\). Assume balanced operation.