Q$1)$

A $25$ kVA, $230$ V$,$ three$-$phase, four$-$pole, $60$ Hz Y$-$connected synchronous generator has a synchronous reactance of $1\mathrm{.}5/$phase and a negligible resistance.

The generator is connected to an open circuit of constant voltage $(230$ V$)$ and frequency $(60$ Hz$).$

Find:

$1.$ The generated EMF $($E$)$ when the machine is delivering rated kVA at $0\mathrm{.}8$ power factor $($p$.$f$.).$

$2.$ The stator current $($I$).$