Problem $3$: Given a balanced, $3$ phase, Delta$-$Y connected system with a line voltage at the load of $100$V$\_($RMS$),$

a line impedance of $8$Omega, and a load impedance per phase of $20-$j$15$ Omega.

a$.$ Draw the single$-$phase equivalent circuit. Label all given voltages and impedances.

b$.$ Determine the magnitude of the line current.

c$.$ Determine the magnitude of the phase current at the load.

d$.$ Determine the magnitude of the line voltage at the source.

e$.$ Determine the magnitude of the phase voltage at the source.

f$.$ Determine the power factor at the source. $($include leading or lagging$)$

g$.$ Determine the total real power delivered to the $3-$phase load.

Answer all parts A$-$G$.$