A three$-$phase round rotor synchronous generator, rated $10$ kV$,50$ MVA has armeture resistance RR of $0\mathrm{.}05$ per unit and synchronous reactance XdXd of $1\mathrm{.}2$ per unit. The machine operates on a $10$ kV infinite bus delivering $2100$ A at $0\mathrm{.}84$ power factor leading.

a$)$ Determine the internal voltage Ei:Ei: kV$,$ and the power angle :: $$ of the machine. help $($numbers$)$

b$)$ What is open circuit voltage of the machine at the same level of excitation: kV$.$ help $($numbers$)$

c$)$ What is the steady short circuit current at the same level of excitation, neglecting all saturation effects: A$.$ help $($numbers$)$