Question

In the transmission of a.c. power through transmission lines, when the voltage is shaped up n times, the power loss in transmission is?

Answer 1

Explanation:

$Powerloss,P\text{'}=I^{2}R$

$P=VI$

$\Rightarrow I=\frac{P}{V}$

$P={\left(\frac{P}{V}\right)}^{2}R$

$powerloss\propto \frac{1}{\sqrt{2}}$

Here, $P=$Power, $I=$current. $V=$voltage, and $R=$resistance.

The power loss in transmission decreases n2 times.

1. As P and r are always constant $powerloss\propto \frac{1}{\sqrt{2}}$ hence is $V$ increases $n$ times then loss decreases by $n^2$ times.
2. Power transmitted by $p$ resistance of transmission line is $r$.
3. Current through the line $I=PV$
4. Efficiency improvement is the main driver behind high voltage power transmission. There is inherent energy loss when electricity is transferred over vast distances. Power is transferred from one site to another with minimum power loss due to high voltage transmission.

The transmission always occurs at high voltage:

1. Electric power is a unit of measurement for the rate at which an electrical circuit transfers energy. Transformers and generators deliver electricity through transmission lines. Electrical power is calculated mathematically as the result of the voltage across the line and the current flowing through the line. Ohm's law now allows converting the equation too.
2. According to Ohm's law, as we obtain a resistance factor, the amount of power transmitted through the lines decreases slightly. Significant resistance may occur due to the material of the wire or, less frequently, due to poor current through the wire. Although it does not affect the passage of charge, resistance is an obstacle in the way of electron flow. As a result, voltage is not a factor in power loss.

$P=(I\times R)I$

Hence, according to Joule's law of heating, heat will be generated when a current flows through a conductor for a given period of time.

The intensity of this heat can be calculated as the sum of the square of the conductor's resistance, time, and current.

$P=VI$