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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

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19.2 kW

19.2W

19.2 J

12.2 kW

answer is B.

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Detailed Solution

Total resistance $R = (0.5 Ω /km) \times (150 km) = 75 Ω$ Total voltage drop $= (8 V/km) \times (150 km) = 1200 V$ Power loss $= \frac{{(Δ V)}^{2}}{R} = \frac{{(1200)}^{2}}{75} W$

$= 19200 W = 19.2 k.W$

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