A 220-kV, three-phase transmission line is 40 km long. The resistance per phase is 0.15 f2 per km and the inductance per phase is 1.3263 mFl per km. The shunt capacitance is negligible. Use the short line model to find the voltage and power at the sending end and the voltage regulation and efficiency when the line is supply-ing a three-phase load of 381 MVA at 0.8 power factor lagging at 220 kV.

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