A three$-$phase, wye$-$connected, $2300-$V$,60$Hz$,$ round$-$rotor synchronous motor has a synchronous

reactance of $2\backslash$Omega $20\%$ E$\_($f$),$ and the power angle $\backslash$delta $.$

b$.$ If the motor is operating on load with a power angle of $\backslash$delta $=-10^($o$),$ and the excitation is adjusted so

that the excitation voltage is equal in magnitude to the terminal voltage, determine the armature

current and the power factor of the motor.