QUESTION $2$

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$=2401<mn>0</mn>$ V $($line to neutral$),$ find:

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

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

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

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

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