A high-voltage transmission line carries 500 A at 700 kV for a distance of 100 miles. If the resistance in the wire is 1 $\Omega$/mile, what is the power loss due to resistive losses?

Question

Quizplus · Accepted Answer

The power loss due to resistive losses (P_loss) is calculated using the formula P_loss = I^2 * R, where I is the current and R is the total resistance. The resistance per mile is 1 ohm/mile, so for 100 miles, the total resistance is 100 ohms. Thus, P_loss = (500 A)^2 * 100 ohms = 25,000,000 W or 25 MW.

A High-Voltage Transmission Line Carries 500 a at 700 KV Ω\OmegaΩ

A High-Voltage Transmission Line Carries 500 a at 700 KV $\Omega$