Question

A high-voltage direct-current transmission line between Celilo, Oregon, and Los Angeles, California, is 1000 km long. If the voltage is 500 kV, what is the resistance of the line if it carries 1000 A of current?

a) 0.5 ohms
b) 1.0 ohms
c) 1.5 ohms
d) 2.0 ohms

Answer 1

Using Ohm's law with given voltage and current, the resistance of the transmission line should be 500 ohms, which doesn't match the available options.

Step-by-step explanation:

If the voltage of a high-voltage direct-current transmission line between Celilo, Oregon, and Los Angeles, California, is 500 kV and it carries 1000 A of current, the resistance of the line can be found using Ohm's law, which is V = IR, where V is the voltage, I is the current, and R is the resistance. To find the resistance, we rearrange the formula to R = V/I.

Therefore, the resistance of the line is R = 500,000 V / 1000 A = 500 ohms. However, none of the provided options (a) 0.5 ohms (b) 1.0 ohms (c) 1.5 ohms (d) 2.0 ohms match the calculated value. There might be an error in the question or the options provided. The correct answer based on the given values should be 500 ohms.