There are three connected loads in parallel with the following characteristics:

Load $1$: Absorbs $100$kW$,20$kVAR

Load $2$: An impedance of $1-2$j Ohms$/$phase

Load $3$: $120$kVA at $0\mathrm{.}8$ pf leading.$$

With a load voltage of Van$=2401<0$ V $($line to neutral$),$ find:

The total phase current supplied by the source and the source power factor $$ Current and pf $(10$ points$)$

The total power supplied by the source$-$ Stotal $(5$ points$)$

A parallel load is added to improve the power factor to unity.$$ What is the impedance of the load?$(10$ points$).$

What is the new total phase current supplied by the source $(5$ points$)$

What is the phase current of this new load $(5$ points$)$