A $1$$,3$ kVA, $240=120$ V$,60$ Hz transformer has the following parameters:

Rp $=0\mathrm{.}25,$ Rs $=0\mathrm{.}05$

Xp $=2\mathrm{.}784,$ Xs $=8\mathrm{.}45$

$($neglect the core effect$)$

$($a$)$ Determine the voltage regulation when the transformer is supplying full load at $110$ V and $0\mathrm{.}9$ leading power factor.

$($b$)$ If the load terminals are accidentally short$-$circuited, determine the currents in the high voltage and low$-$voltage windings.