# A high-voltage transmission line with a resistance of 0.295 ohm/ km carries a current of 1.20 kA....

## Question:

A high-voltage transmission line with a resistance of {eq}0.295 \ \Omega/ km {/eq} carries a current of {eq}1.20\ kA {/eq}. The line is at a potential of {eq}800\ kV {/eq} at the power station and carries the current to a city located {eq}147\ km {/eq} from the power station.

a. What is the power loss due to resistance in the line?

b. What fraction of the transmitted power does this loss represent?

## Power transmission:

When the electricity is supplied through the wire to the long distances, then the power loss takes place during its transmission due to the resistance provided by the wire. The power loss in the transmission is given by the following expression:

{eq}\rm P = i^{2}R {/eq}

where

• i is the current
• R is the resistance

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Given Data:

• Curren in the line {eq}\rm (i) = 1.2 \ k A {/eq}
• Voltage {eq}\rm (V) = 800 \ kV {/eq}
• Resistance of the line {eq}\rm (r) = 0.295 \... 