The power loss is less in transmission lines, when: - Vidyadip

Question

The power loss is less in transmission lines, when:

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Answer

The power cables have some resistance.
Power lost in the wires can be calculated as $P = I^2R$ with $R$ as the resistance of the wires and $I$ as the current that passes through them.
Power at the load is $P = VI.$
From this one can see that if voltage is increased by say $n$ times,
then only $\frac{1}{\text{n}}$ the current is required to deliver the same power.
However, if $\frac{1}{\text{n}}$ current is passed
on the same wires, only $\frac{1}{\text{n}^2}$ of the power will be lost.

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