A$3,500$kVAsalient pole synchronous machine has a direct axis and quadrature axis synchronous reactance as $80\%$ and $62\mathrm{.}5\%,$ respectively. The machine runs as a motor with rated supply voltage and in over$-$excited condition E $=1\mathrm{.}32$p$.$u$..$ The friction windage and core loss are constant at $4\%.$ Determine a$)$ current, power factor, and power angle for the rated torque output. b$)$ Maximum torque and power angle for the same. c$)$ the maximum reluctance torque