A $60$ Hz$,24$ kV$,650$ MVA synchronous generator with a synchronous reactance of XS $=$j$1\mathrm{.}82$ is connected to a $24$ kV infinite bus via a transmission system whose reactance is Xe $=$ j$0\mathrm{.}21.$ The generator terminal voltage magnitude is adjusted as $24$ kVto synchronized with the infinite bus. The generator delivers $500$ MWtothe infinite bus. $1)$ Compute the armature current. $2)$ Compute the generator's internal voltage $($E$).$