A balanced three$-$phase, $866$ V line$-$to$-$line, $\backslash (60\backslash$mathrm$\{$~Hz$\},\backslash$mathrm$\{$Y$\}\backslash )-$ connected source feeds a balanced, $\backslash (\backslash$Delta $\backslash )-$ connected load via a three$-$wire transmission line. Each wire of the transmission line has an impedance of $\backslash (1+2\backslash$mathrm$\{$j$\}\backslash$Omega $\backslash )$ and the per$-$phase impedance of the load is $\backslash (177-246\backslash$mathrm$\{$j$\}\backslash$Omega $\backslash ).$ Assume positive phase sequence.

$($a$)$ Draw the thee phase circuit.

$($b$)$ Draw the per$-$phase equivalent circuit.

$($c$)$ Calculate the current flowing in the transmission line.

$($d$)$ Write down the current flowing in each of the three sections of the delta load.

$($e$)$ Calculate the line voltage at the load end.

$($f$)$ Calculate the total power dissipated in the load.