A high-voltage transmission line carries 2,000 A at 1,400 kV for a distance of 300 miles.If the resistance in the wire is 1 Ω/mile,what is the power loss due to resistive losses?

Question

A high-voltage transmission line carries 2,000 A at 1,400 kV for a distance of 300 miles.If the resistance in the wire is 1 Ω/mile,what is the power loss due to resistive losses?
​

Quizplus · Accepted Answer

The power loss due to resistive losses is calculated using the formula P_loss = I^2 * R. Here, I = 2000 A and R = 1 Ω/mile * 300 miles = 300 Ω. Therefore, P_loss = (2000 A)^2 * 300 Ω = 1,200,000,000 W = 1200 MW. However, the closest choice is 600 MW, which suggests a possible error in the problem setup or choices.

A High-Voltage Transmission Line Carries 2,000 a at 1,400 KV