A small town with a demand of 800 kW of power at 220 V is situated 15 km away from an electric plant generating power at 440 V. The resistance of the two wire line carrying power is `0.5Omega`.`km^-1`. The line gets power from the line through a 4000-220 V step-down transformer at a substation in the town. Estimate the line power loss in the form of heat?

A small town with a demand of 800 kW of power at 220 V is situated 15

1.	A small town with a demand of 800 kW of power at 220 V is situated 15 km away from an electric plant generating power at 440 V. The resistance of the two wire line carrying power is `0.5Omega`.`km^-1`. The line gets power from the line through a 4000-220 V step-down transformer at a substation in the town. Estimate the line power loss in the form of heat?
Answer» Generating power of Electric plant = 800 kW at V = 220 V Distance = 15 km, Generating voltage = 440 V Resistance/length `= 0.5 Omega//km` Primary voltage VP = 4000 V Secondary voltage Vs = 220 V Power `= I_(P).V_(P)` `800xx1000=I_(P)xx4000` `I_(P)=200A` Line power loss in form of heat `= (I_(P))^(2)xx` Resistance of line `= (I_(P))^(2)xx0.5xx15xx2` `= (200)^(2)xx0.5xx15xx2` `= 60xx10^(4)W` `= 600 KW`

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