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

MCQ

The power loss is less in transmission lines, when:

A
Voltage is less but current is more
B
Both voltage and current are more
✓
Voltage is more but current is less
D
Both voltage and current are less

✓

Answer

Correct option: C.

Voltage is more but current is less

The power cables have some resistance.
Power lost in the wires can be calculated as $P=I^2 R$ 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 $\frac{1}{n}$ the current is required to deliver the same power. However, if $\frac{1}{ n }$ current is passed
on the same wires, only $\frac{1}{ n ^2}$ of the power will be lost.

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