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Reducing power losses in transmission of alternating currents.

I know V=IR, P=IV, P=I^2R and P lost = I^2R. Here problem....Told like in an AC distribution system like a power grid when voltage increased current is decreased where R is constant over the power lines. If current were increased voltage would decrease. These equations above plotted numbers to prove , which is what is really done with transmission lines, to see v increase and I decrease and vice versa. It is not working out.

Using ohms law, show me all your equations, work etc and show me how this theory is used with the equations to prove I decreases when V increases etc. Explain why resistance losses on a line is the same when as the line gets longer R increases.

Solution Summary

The concepts of decreasing the power losses in the transmission using step-up and step-down transformers is discussed.