$($b$)$ A $48060$ HZ$,400$ hp$,0.80$ pfi leading, $6-$pole, delta$-$connected synchronous motor has a $<$ synchronous reactance of $1\mathrm{.}2$ ohm and negligible armature resistance. Ignore friction, windage and core losses $()$ If this motor is initially supplying $350$ hp at $0\mathrm{.}85$ pf lagging, what are the magnitudes and angles of EA and IA$?($i$)$ How much torque is this motor producing? $($ii$)$ If field excitation is increased by $20\%,$ what would be the new magnitude of EA and the torque angle