: A $60-$Hz synchronous machine with a $208$V $-$connected line voltage has a synchronous reactance of $2\mathrm{.}5$ and a negligible armature resistance. Its friction and windage losses are $1\mathrm{.}5$ kW$,$ and its core losses are $1\mathrm{.}0$ kW$.$ Initially, the shaft is supplying $11\mathrm{.}2$ kW to the load, and the motor$$s power factor is $0\mathrm{.}80$ leading.