Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A power station sends kW to a town at kV. The line has a total resistance of . The power factor is . Find the current in the line, the heat in the line and the share of the power that is lost.
A line of resistance that carries a current gives out the heat . For the power sent at the voltage (power factor ), , so . The voltage lost along the line is .
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Given. W, V and .
Step 1. The current. A.
Step 2. The heat. kW.
Step 3. The share. , which is .
Answer: A, kW and .
Check. The share is also .
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