Rp $=32$ ohm

Rs $=0\mathrm{.}05$ ohm

Xp $=45$ ohm

Xs $=0\mathrm{.}06$ ohm

Rc $=250,000$ ohm

XM $=30,000$ ohm

d$)$

A $20-$kVA, $8000$:$480-$V distribution transformer has the following resistances and reactances:

The excitation branch impedances are referred to the high$-$voltage side.

Find the equivalent circuit of the transformer referred to the high$-$voltage side.

Find the per unit equivalent circuit of this transformer.

Assume that the transformer is supplying rated load at $480$ V and $0\mathrm{.}8$ power factor lagging. What is this transformer's input voltage? What is its voltage regulation?

What is this transformer's efficiency under the conditiona of nart $($c$)?$