Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A line has a total resistance of . At the sending end the voltage is kV and the current is A, with power factor . Find the power sent, the voltage lost along the line, the heat in the line and the efficiency of the line, which is the power delivered divided by the power sent.
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.
Step 1. The power sent. kW.
Step 2. The voltage lost. V. This is about of kV.
Step 3. The heat. kW. As a check, W.
Step 4. The efficiency. The power delivered is kW. So the efficiency is , which is .
Answer: kW, V, kW and .
Watch out. The formula with kV would give MW, which is more than a hundred times the power that was sent. The kV is not across the line. Only V is.
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