A synchronous generator is connected to an infinite bus through a transmission line. The infi$-$

nite bus voltage is $23$ kV$,$ the inductive reactance of the transmission line is $1,$ and the syn$-$

chronous reactance of the machine is $2.$ When the excitation of the generator is adjusted so

wwthat the line$-$to$-$line equivalent field voltage is $28$ kV$,$ the generator delivers $100$ MW of real

power to the infinite bus. Compute the following:

a$.$ Terminal voltage of the machine

b$.$ Reactive power at the infinite bus

c$.$ Reactive power consumed by the transmission line

d$.$ Reactive power at the terminals of the generator