In the transmission of A.C power transmission lines when the voltage is steeped up n times the power loss in transmission
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Decrease n2 times
Explanation:
If power transmitted is P, resistance of transmission line is r, current through line is I = (P/V) then
Power loss = I2r = (P/V)2r. As P and r is always constant,
Power loss ∝ (1/V2) hence is V increases n times then loss decreases by n2 times.
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