A

$208$ V$,20$ kVA, $60$ Hz$,6$ pole, Y connected

synchronous generator produces $208$ V when

running at no load with a provided field current of

$3$ A$.$ When a $5/$phase$,$ Y connected pure resistive

load is connected to the generator, a $3\mathrm{.}8$ A field

current is required to maintain the $208$ V rated

voltage.

Find the per

phase synchronous reactance

knowing that the armature and field resistances

are neglected. Also, saturation is neglected. $3\mathrm{.}9$