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# A 3 phase, 60 hz, 138 kv transmission line is 250 miles long and delivers power to a 50 mw load at 132 kv and at 0.92 la...

A 3 phase, 60 hz, 138 kv transmission line is 250 miles long and delivers power to a 50 mw load at 132 kv and at 0.92 lagging power factor. The line resistance is 0.175 ohm/mile, the line inductance is 0.302mH/mile and the line capacitance is 0.0245 uf/mile.

Calculate sending end voltage

$Given:\phantom{\rule{0ex}{0ex}}r=0.175ohm/mile=43.75ohm\phantom{\rule{0ex}{0ex}}L=0.302mH/mile\phantom{\rule{0ex}{0ex}}{X}_{L}=jWL=j28.46ohm\phantom{\rule{0ex}{0ex}}C=0.0245\mu f/mile\phantom{\rule{0ex}{0ex}}Y=j2.30×{10}^{-3}\phantom{\rule{0ex}{0ex}}\mathrm{cos}\varphi =0.92lag\phantom{\rule{0ex}{0ex}}P=50Mw\phantom{\rule{0ex}{0ex}}f=60HZ\phantom{\rule{0ex}{0ex}}{V}_{R}=132Kv\phantom{\rule{0ex}{0ex}}$

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