$1)$ A $3-$phase, Y connected, round rotor synchronous generator rated at l$0$kYA, $230$V has a Synchronous

reactance of $1\mathrm{.}20.$ per phase and an armature resistance of $0\mathrm{.}5$ n per phase. Calculate: $($a$)$The percentage

voltage regulation at full load with $0\mathrm{.}8$ lagging power factor. b$)$ The percentage voltage regulation at full

load with $0\mathrm{.}8$ leading power factor.