A single phase distributor 2 kilometers long supplies a load of 120 A at 0·8 p.f. lagging at its far end and a load of 80 A at 0·9 p.f. lagging at its mid-point. Both power factors are referred to the...

 A single phase distributor 2 kilometers long supplies a load of 120 A

at 0·8 p.f. lagging at its far end and a load of 80 A at 0·9 p.f. lagging at

its mid-point. Both power factors are referred to the voltage at the far

end. The resistance and reactance per km (go and return) are 0·05 Ω

and 0·1 Ω respectively. If the voltage at the far end is maintained at

230 V, calculate :

• voltage at the sending end

• phase angle between voltages at the two ends.