Question: Two balanced three-phase loads that are connected in parallel are fed by a three-phase line having a series impedance of ((0.4+j 2.7) Omega) per phase.

Two balanced three-phase loads that are connected in parallel are fed by a three-phase line having a series impedance of \((0.4+j 2.7) \Omega\) per phase. One of the loads absorbs \(560 \mathrm{kVA}\) at 0.707 power factor lagging, and the other \(132 \mathrm{~kW}\) at unity power factor. The line-to-line voltage at the load end of the line is \(2200 \sqrt{3} \mathrm{~V}\). Compute

(a) the line-to-line voltage at the source end of the line,

(b) the total real and reactive power losses in the three-phase line, and

(c) the total three-phase real and reactive power supplied at the sending end of the line. Check that the total three-phase complex power delivered by the source equals the total three-phase complex power absorbed by the line and loads.

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