A high-voltage transmission line carries 1 000 A at 700 kV for a distance of 100 miles.If the resistance in the wire is 1 W/mile,what is the power loss due to resistive losses?
A)10 kW
B)100 kW
C)10 MW
D)100 MW

Question

Quizplus · Accepted Answer

Using the formula for power loss in a transmission line due to resistance:
P = I^2*R*L
where I = current, R = resistance per unit length, and L = length of the transmission line

Converting the distance to meters:
L = 100 miles * 1609.34 meters/mile = 160,934 meters

Substituting the given values:
P = (1000 A)^2 * 1 W/mile * 160,934 meters = 160,934,000 W = 160 MW

Therefore, the power loss due to resistive losses is 100 MW, which is answer choice D.

A High-Voltage Transmission Line Carries 1 000 a at 700