A Balanced Y-Connected Voltage Source With $E_{a g}=277 \angle 0^{\circ}$ Volts Is Applied to a Balanced-

Essay

A balanced Y-connected voltage source with $E_{a g}=277 \angle 0^{\circ}$ volts is applied to a balanced- $Y$ load in parallel with a balanced- $\Delta$ load, where $Z_{Y}=30+j 10$ and $Z_{\Delta}=$ $45-j 25$ ohms. The $\mathrm{Y}$ load is solidly grounded. Using base values of $\mathrm{S}_{\text {basel } \phi}=5 \mathrm{kVA}$ and $\mathrm{V}_{\text {baseLN }}=277$ volts, calculate the source current $I_{a}$ in per-unit and in amperes.