A $10$ kVA, $2400/347$ V$,60$ Hz$,$ single phase transformer has the following equivalent circuit parameters, where the subscripts $$H$$ and $$L$$ refer to the High and Low voltage sides respectively.

$($b$)$

High Voltage side

Low voltage side

$=5\mathrm{.}16=4\mathrm{.}30=51=29$

$=0\mathrm{.}095=0\mathrm{.}090$

A $5$ kW with a lagging power factor of $0\mathrm{.}5$ is connected to the low$-$voltage terminals of the transformer. Assuming rated voltage across the load:

$($i$)$

Calculate the current and voltage on the high$-$voltage side and the voltage regulation of the transformer $(5$mks$).$

$($ii$)$

Explain why you can neglect the excitation branch in your calculations $(2$mks$).$

$($iii$)$

Determine the transformer efficiency $(2$mks$).$

$($iv$)$

Calculate the reactive power consumed by the transformer and indicate its proportion in $\%$ with respect to the total apparent power drawn from the supply $(4$mks$).$