Question

If the power output in the previous problem is 1000 MW and line resistance is 2.00 Ω, what were the old and new line losses?

a) Old: 1.33 MW, New: 0.33 MW
b) Old: 2.67 MW, New: 1.67 MW
c) Old: 0.67 MW, New: 1.67 MW
d) Old: 1.67 MW, New: 0.67 MW

Answer 1

To calculate the old and new line losses, you need to find the current flowing through the line. Use the formula: Loss = (Current)^2 * Resistance. The old and new line losses are 1.33 MW and 0.33 MW, respectively.

Step-by-step explanation:

To calculate the old and new line losses, we can use the formula: Loss = (Current)^2 * Resistance. Given that the power output is 1000 MW and the line resistance is 2.00 Ω, we need to find the current flowing through the line. The current can be found using the formula: Current = Power / Voltage. Assuming the voltage remains constant, we can substitute the power output and voltage into the formula and solve for current.

Once we have the current value, we can calculate the old line loss by substituting the current and resistance into the loss formula. To calculate the new line loss, we need to find the new current value. We can use the power output and the new voltage (given that the line resistance remains the same) to find the new current. Then, substitute the new current and resistance into the loss formula to calculate the new line loss.

Therefore, the old and new line losses are:

a) Old: 1.33 MW, New: 0.33 MW