Problem $2$: A $3-$phase, Y$-$connected, $6-$pole, $400$Hz generator has synchronous reactance XL $=232,$ stator resistance R $=0\mathrm{.}292,$ and Lyr$=0\mathrm{.}003$ H$.$ The machine operates with a field current of $60$A$.$ The line$-$to$-$neutral terminal voltage is $24020\backslash$deg Vrms and the angle of the excitation voltage is $21\mathrm{.}6.$ a$.$ Find the speed of the prime mover in rad$/$sec$.$ Om $838$ rad$/$sec b$.$ Determine the excitation voltage. E$.=320221\mathrm{.}57\backslash$deg V$.$me rms c$.$ Find the line current. $1.=652-20\backslash$deg Ams d$.$ Find the power consumed by the load and its power factor. Psphase $=44$ kW PF $=0\mathrm{.}94($lagging$)$