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Question: If 2.2 kilowatt power is transmitted through a 10 ohm line at 22000 volt, the power loss in the form...

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

Answer

0.1 watt

Explanation

Solution

For power transmission power loss in line PL=i2RP_{L} = i^{2}R

If power of electricity is P and it is transmitted at voltage V, then P=ViP = Vim=6.56g/sm = 6.56g/s

PL=(PV)2R=P2RV2P_{L} = \left( \frac{P}{V} \right)^{2}R = \frac{P^{2}R}{V^{2}} =2.2×103×2.2×103×1022000×22000=0.1W= \frac{2.2 \times 10^{3} \times 2.2 \times 10^{3} \times 10}{22000 \times 22000} = 0.1W