A $40$kVA, $380$V$,4-$pole, $50$Hz$,$ star connected, $3-$phase synchronous generator has per

phase armature resistance of $0\mathrm{.}04$ & armature reactance of $0\mathrm{.}4.$ The generator has $100$ turns

per phase Determine:

a$)$ The generated e$.$m$.$f voltage $($Eph$)$ at full load with $0\mathrm{.}8$ lagging pf

b$)$ The full load voltage regulation

c$)$ The generator driving speed

d$)$ The flux per pole