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A long, lossless, three-phase transmission line is operating with 60 Hz with a nominal voltage of 400 kV. The distance between sending and receiving sides of the line is 350 km and the line’s series i...

A long, lossless, three-phase transmission line is operating with 60 Hz with a nominal voltage of 400 kV. The distance between sending and receiving sides of the line is 350 km and the line’s series inductance and shunt capacitance per length per phase are 0.92 mH/km and 0.016µF/km, respectively.  If the line delivers 667.2461 MW at 400 kV with unity power factor at its receiving side, what would be the line-line voltage magnitude in the middle of the line?

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