First slide

Electrical power

Question

Two cities are 150 km apart. Electric power is sent from one city to another city through copper wires. The fall of potential per km is 8 volt and the average resistance per km is 0.5 $Ω$ . The power loss in the wire is

Easy

A

19.2 W
B

19.2 kW
C

19.2 J
D

12.2 kW

Solution

Here,
Distance between two cities = 150 km
Resistance of the wire, R = (0.5 $Ω$ $k m^{- 1}$ ) (150 km) = 75 $Ω$
Voltage drop across the wire
V = (8 V $k m^{- 1}$ ) (150 km) = 1200 V
Power loss in the wire is
$P = \frac{V^{2}}{R} = \frac{(1200 V)^{2}}{75 Ω} = 19200 W = 19.2 kW$

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