Given the network above, determine the input voltage, $\textbf{V}_S$ given $R = 0.4 \Omega, \textbf{Z}_L = 0.2i \Omega$ and $V_{load} = 320 \angle 0^\circ$ $V_{rms}$

Take $Load_1$ parameters to be:
$Power, P = 15 kW$
$pf = 0.75$ $lagging$

Take $Load_2$ parameters to be:
$Power, P = 30 kW$
$pf = 0.85$ $lagging$

$\textbf{I}_{load1} =$ $\angle$ $^\circ$$A$
$\textbf{I}_{load2} =$ $\angle$ $^\circ$$A$
$\textbf{V}_{line} =$ $\angle$ $^\circ$$V$
$\textbf{V}_S =$ $\angle$ $^\circ$$V$