Q. If $2.2\ kilowatt$ power is transmitted through a $10\ ohm$ line at $22000\ volt,$ the power loss in the form of heat will be
A) $0.1\ watt$
B) $1\ watt$
C) $10\ watt$
D) $100\ watt$
Explanation
(a) For power transmission power loss in line $P_{L} = i^{2}R$
If power of electricity is $P$ and it is transmitted at voltage $V,$ then $P = Vi \Rightarrow i = \frac{P}{V}$
$P_{L} = \left( \frac{P}{V} \right)^{2}R = \frac{P^{2}R}{V^{2}} = \frac{2.2 \times 10^{3} \times 2.2 \times 10^{3} \times 10}{22000 \times 22000} = 0.1W$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.