Q: $"$In a balanced three$-$phase Y$-$Y connection consuming $600$ kW $,$ the effective value of the line$-$to$-$line voltage at the load terminals is $400$ V $.$ If the power factor of the load is $0\mathrm{.}8$ lagging, answer the following questions. Assume that the equivalent line impedance is $0\mathrm{.}02+j0\mathrm{.}05$

$($Equivalent power consumption $=\frac{600}{3}=200kW,$ phase voltage $=\frac{400}{\sqrt[\phantom{2}]{?}}3=230\mathrm{.}94V)$

Calculate the equivalent load impedance.

Answer: $0\mathrm{.}17+j0\mathrm{.}128[]$

Determine the phase current of the load.

Answer: $866-$j$649\mathrm{.}5[$A$],$ current magnitude $=1082\mathrm{.}5A$

Find the magnitude of the line$-$to$-$line voltage at the source.

Answer: $489$ V