$4-7.$ A lOO$-$MVA, $14\mathrm{.}4-$kV$,$ O$\mathrm{.}8-$PF$-$lagging, $50-$Hz$,$ two$-$pole, Y$-$connected synchronous generator has a per$-$unit synchronous reactance of $1\mathrm{.}1$ and a per$-$unit armature resis tance of $0\mathrm{.}011.($a$)$ What are its synchronous reactance and armature resistance in ohms? $($b$)$ What is the magnitude of the internal generated voltage EA at the rated condi tions? What is its torque angle $8$ at these conditions? $($c$)$ Ignoring losses in this generator, what torque must be applied to its shaft by the prime mover at full load?