Problem $3).[10$ PT$]$ A $440V,60HZ,$ three phase Y$-$connected synchronous generator has a reactance of $1\mathrm{.}5$ per phase. The armature resistance of the generator is ignored. The field current has been adjusted so that torque angle is $25$ when the generator is supplying $80$ kV to a load at the rated voltage.

i$)[5$ PT$]$ What is the magnitude of internal generated voltage $E_A.$

ii$)[5$ PT$]$ What is the magnitude and angle of load current in this machine. What is the load power factor. Draw the phasor diagram for this operating condition of the generator.