A $15-$KVA $8000/230-$V distribution transformer has an impedance referred to as the primary of $80+$ j$300$ S$.$ The components of the excitation branch referred to on theprimary side are Rc $=350$kS and Xm $=70$kS$.($a$)$ If the primary voltage is $7967$V and the load impedance is Zz $=3\mathrm{.}2+$j$1\mathrm{.}55,$ what is thesecondary voltage of the transformer? What is the voltage regulation of the transformer?$($b$)$ If the load is disconnected and a capacitor of $-$j$3\mathrm{.}5$ is connected in its place, what is the secondary voltage of the transformer? What is its voltage regulation under