-->

Work, Energy And Power

Question
CBSEENPH11020593

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 V and the average resistance per km is 8 V and the average resistance per km is 0.5 space straight capital omega. The power loss in the wire is,

  • 19.2 W

  • 19.2 kW

  • 19.2 J

  • 12.2 kW

Solution

B.

19.2 kW

Potential difference (drop) between two cities = 150 x 8 = 1200 V
Average resistance of total wire = 0.5 x 150 = 75 space straight capital omega
Power loss, P = straight V squared over straight R equals fraction numerator 1200 space x space 1200 over denominator 75 end fraction equals 19200 space W 
                  = 19.2 kW