For a Conceptual Single-Phase, Phase-Shifting Transformer, the Primary Voltage Leads $30^{\circ}$

Essay

For a conceptual single-phase, phase-shifting transformer, the primary voltage leads the secondary voltage by $30^{\circ}$ . A load connected to the secondary winding absorbs $50 \mathrm{kVA}$ at 0.9 power factor leading and at a voltage $E_{2}=277 \angle 0^{\circ}$ volts. Determine (a) the primary voltage, (b) primary and secondary currents, (c) load impedance referred to the primary winding, and (d) complex power supplied to the primary winding.