Question

If 2.2 kW power is transmitted through a 10 $\Omega$ line at 22 kV, power loss in the form of heat will be

• A. 0.1 W
• B. 1 W
• C. 0.01 W
• D. 10 W

Answer 1

The correct option is A 0.1 W

Given,

$P=2.2kW$

$R=10\Omega$

$V=22kV$

For power transmission, power loss in the line,

$P_L=i^{2}R$. . . . . . . (1)

Transmitted power, $P=iV$

$i=\frac{P}{V}$

Now, equation (1) becomes,

$P_L=\frac{P^{2}R}{V^2}$

$P_L=\frac{2.2\times 2.2\times {10}^6\times 10}{22\times 22\times {10}^6}$

$P_L=0.1W$

The correct option is A.