A balanced abc$-$sequence $Y-$connected source Van $=\frac{100}{{?}_{10}}V$ is connected to $-$ connected balanced load $(8+j4$ is shown in Fig. I.

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

$($b$)$ Calculate the rms value of line current, Ia$.$

$($c$)$ Plot line current, la$($t$),$ and the voltage, Van$((t),$ on the same graph in time domain.

$($d$)$ Calculate the rms value of phase current, laB.

$($e$)$ Calculate the rms load voltage, VA$.$

$($f$)$ Determine the input power factor.

$($g$)$ Determine the real innut nower. P