A $100-$hp $440-$V $0\mathrm{.}8-$PF$-$leading $-$connected synchronous motor has an armature resistance of $0\mathrm{.}3$ and a synchronous reactance of $4\mathrm{.}0.$ Its efficiency at full load is $96$ percent. a$)$ What is the input power to the motor at rated conditions? b$)$ What is the line current of the motor at rated conditions? What is the phase current of the motor at rated conditions? c$)$ What is the reactive power consumed by or supplied by the motor at rated conditions? d$)$ What is the internal generated voltage EA of this motor at rated conditions? e$)$ What are the stator copper losses in the motor at rated conditions? f$)$ What is Pconv at rated conditions? g$)$ If EA is decreased by $10$ percent, how much reactive power will be consumed by or supplied by the motor