A single$-$phase transformer is rated $500$ kVA, $33$kV $2\mathrm{.}4$ kV$,$ with series impedance Zeq$=$j$1\mathrm{.}0($referred to the low$-$side$).$ The transformer is driving a load of $200$ kW$,0\mathrm{.}9$ pf lagging at $2\mathrm{.}25$ kV$.$ a$)$ Represent the system in per unit. What is the transformer internal impedance in per$-$unit? Use SBASE$=500$kVA and the transformer nominal voltages as VBASE.