In this problem, you will verify statements made at the end of the power losses for Example 20.10. 

(a) What current is needed to transmit 100 MW of power at a voltage of 25.0 kV? 

(b) Find the power loss in a 1.00 - Ω transmission line. 

(c) What percent loss does this represent?

Data given in Example 20.10

(a) What current is needed to transmit 100 MW of power at 200 kV?

(b) What is the power dissipated by the transmission lines if they have a resistance of 1.00 Ω? 

(c) What percentage of the power is lost in the transmission lines?

Strategy

We are given P_ave = 100 MW, V_rms = 200 kV, and the resistance of the lines is R = 1.00Ω. Using these givens, we can find the current flowing (from P = IV) and then the power dissipated in the lines (P = I² R), and we take the ratio to the total power transmitted.