A $15-$KVA $8000/230-$V distribution transformer has an impedance referred to as the

primary of $80+$ j$300$

$.$ The components of the excitation branch referred to on the

primary side are Rc $=350$k

and Xm $=70$k

$.$

$($a$)$ If the primary voltage is $7967$V and the load impedance is ZL $=3$:$2+$j$1$:$5$

$,$ what is the

secondary 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 these

conditions?