A $2300-$V $1000-$kVA $0\mathrm{.}8-$PF$-$lagging $60-$Hz two$-$pole Y$-$connected synchronous generator has a

synchronous reactance of $1\mathrm{.}1$ and an armature resistance of $0\mathrm{.}15.$ At $60$ Hz$,$ its friction and

windage losses are $24$ kW$,$ and its core losses are $18$ kW$.$ The field circuit has a dc voltage of

$200$ V$,$ and the maximum IF is $10$ A$.$ The resistance of the field circuit is adjustable over the

range from $20$ to $200.$ The OCC of this generator is shown in Figure $1.$

$($a$)$ How much field current is required to make VT equal to $2300$ V when the generator is running

at no load?

$($b$)$ What is the internal generated voltage of this machine at rated conditions?

$($c$)$ How much field current is required to make VT equal to $2300$ V when the generator is

running at rated conditions?

$($d$)$ How much power and torque must the generator's prime mover be capable of supplying?