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Heating Effect of Current

Calculate the...

Question

Calculate the power loss in an electrical transmission cable, 15 km long, carrying a current of 100A at a potential difference of 200kV. The resistance per km of the cable is 0.2 ohm.

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Solution

Length =15km
Resistance /km=0.2 ohm
Total resistance =0.2*15
=3 ohm
Current, I=100 A
Potential difference, V=200kV

Power loss =V²/R
=200²/3
=40000/3
=13333.3kW

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