A $45$ kVA three phase transformer $(2\mathrm{.}2$ kV : $4\mathrm{.}6$ kV$)$ is to be constructed from three single phase transformers. The transformers are connected as Y$-$Delta. The transformer per phase impedance on the LV side is $(2\mathrm{.}1+$j$23\mathrm{.}6)$ mOHMS

$($i$)$ Calculate the effective turns ratio of the Y$-$Delta connected transformer. Show your working clearly.

$($ii$)$ Determine the impedance of the transformer referred to its HV side

$($iii$)$ Calculate the rated current on the LV and HV sides of the transformer and hence determine the power loss through the transformer when connected to a rated load.