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A small town with a demand of 800 kW of ...

A small town with a demand of 800 kW of electric power at 220 V is situated 15 km away from an electric plant generating power at 440 V. The resistance of the two line wires carrying power is `0.5 Omega` per km. The town gets power from the lines through a 4000-220 V step down transformer at a substation in the town.
Estimate the line power loss in the form of heat.
(b) How much power must the plant supply. assuming there is negligible power loss due to leakage?
(c) Characterize the step up transformer at the plant.

Text Solution

AI Generated Solution

To solve the given problem, we will break it down into three parts as specified in the question. ### Part (a): Estimate the line power loss in the form of heat. 1. **Calculate the current (I) flowing through the wires:** - The power demand of the town (P) is given as 800 kW (or 800,000 W). - The voltage at which the town receives power from the transformer (V) is 220 V. - Using the formula for power, \( P = V \times I \), we can rearrange it to find the current: ...
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