Suppose a power plant is supplying 300 MW of real power over a 150 kV (RMS) transmission line to a load that has an impedance characterized by a phase φ = 26^◦(corresponding to a power factor of cos φ = 0.9 lagging).The (three-phase) power is supplied over lines with inductive reactance and resistance per unit lengthωL′ = ωL/l = 0.49 Ω /km and R′ = R/l = 0.11Ω /km respectively. Assume that an equal fraction of the load is supplied by each phase. Compute the power factor seen at the busbar of the generator as a function of the length l of the line. How long a transmission line would reduce the power factor to 0.75? First compute the impedance of the load.