College Physics 10th Edition by Raymond Serway,Chris Vuille

Exercise 64

A transmission line that has a resistance per unit length of 4.50 × 10 4 V/m is to be used to transmit 5.00 MW over 400 miles (6.44 × 10 5 m). The output voltage of the generator is 4.50 kV (rms). (a) What is the line loss if a transformer is used to step up the voltage to 500 kV (rms) (b) What fraction of the input power is lost to the line under these circumstances (c) What difficulties would be encountered on attempting to transmit the 5.00 MW at the generator voltage of 4.50 kV (rms)