$1.$ A $3-$phase, star$-$connected alternator generates $6,360$ V per phase and supplies $500$ kW at a p$.$f$.0\mathrm{.}9$

lagging to a load through a step$-$down transformer of turns $40$ : $1.$ The transformer is delta connected on the

primary side and star$-$connected on the secondary side. Calculate the value of the line volts at the load.

Calculate also the currents in $($a$)$ alternator windings $($b$)$ transformer primary windings $($c$)$ transformen

secondary windings.