Q$3.$ A balanced three$-$phase source serves the following loads:

Load $1$: $20$ kVA at $0\mathrm{.}8$ pf lagging

Load $2$: $10$ kVA at $0\mathrm{.}7$ pf leading

Load $3$: $10$ kW at unity pf

Load $4$: $16$ kVA at $0\mathrm{.}6$ pf lagging

The line voltage at the load is $208$ V rms at $60$ Hz $,$ and the line impedance is $0\mathrm{.}02+j0\mathrm{.}04.$ Find the line voltage and power factor at the source.

$($Bir $$ faz dengeli kaynak a$$a$$daki y$$kleri beslemektedir:

Y$$k $1$: geride $0\mathrm{.}8$ g$$ katsay$$s$$nda $20$ kVA

Y$$k $2$: ileride $0\mathrm{.}7$ g$$ katsay$$s$$nda $10$ kVA

Y$$k $3$: birim g$$ katsay$$s$$nda $10$ kW

Y$$k $4$: geride $0\mathrm{.}6$ g$$ katsay$$s$$nda $16$ kVA

Y$$kteki hat gerilimi $60$ Hz'de $208$ V rms ve hat empedans$0\mathrm{.}02+$ j$0\mathrm{.}04$'dur. Kaynaktaki g$$ katsay$$s$$n$$ ve hat gerilimini bulunuz.$)$