Tests are performed on a $1$ phase, $10$kVA, $2200/220$ V$,60$Hz transformer and the following results are obtained: Open$-$Circuit Test Short$-$Circuit Test $($High$-$Voltage side open$)($Low$-$Voltage side shorted$)\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$ Voltmeter $220$ V $150$ V Ammeter $2\mathrm{.}5$ A $4\mathrm{.}55$ A Wattmeter $100$ W $215$ W a$)$ Derive the parameters for the approximate equivalent circuits referred to the low$-$voltage side and the high$-$voltage side. b$)$ Express the excitation current as a percentage of the rated current. c$)$ Determine the power factor for the no$-$load and short$-$circuit tests. d$)$ Determine the voltage regulation in percent for $75\%$ full load and $0\mathrm{.}6$ power factor lagging.