Question: A small manufacturing plant is located (2 mathrm{~km}) down a transmission line, which has a series reactance of (0.5 Omega / mathrm{km}). The line resistance

A small manufacturing plant is located $2 \mathrm{~km}$ down a transmission line, which has a series reactance of $0.5 \Omega / \mathrm{km}$. The line resistance is negligible. The line voltage at the plant is $480 / 0^{\circ} \mathrm{V}$ (rms), and the plant consumes $120 \mathrm{~kW}$ at 0.85 power factor lagging. Determine the voltage and power factor at the sending end of the transmission line by using

(a) a complex power approach and

(b) a circuit analysis approach.

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