A 25 kVA, 3-phase, Y-connected, 400 V synchronous generator has a synchronous impedance of
0.05+j1.6 $\Omega$ per phase. Determine
a) the voltage regulation at 0.8 pf lag.
b) If the generator is to have zero voltage regulation at half full-load, find the operating power factor
and the developed power? (Neglecting the armature resistance)