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Question: Answered & Verified by Expert
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 volts and the average resistance per km is 0.5 Ω. The power loss in the wire is:
PhysicsCurrent ElectricityNEETNEET 2014
Options:
  • A 19.2 W
  • B 19.2 kW
  • C 19.2 J
  • D 12.2 kW
Solution:
2861 Upvotes Verified Answer
The correct answer is: 19.2 kW

Distance between the two cities, 150 km.

Voltage drop per kilometre is 8 V km-1.

Resistance per kilometre 0.5 Ω km-1

Total voltage drop will be,
Vdrop=150 km×8 V km-1=1200 V

Total resistance of wire, 
R=0.5 Ω km-1×150 km=75 Ω

Therefore, the power loss will be, P=V2R=150×820.5×150=19.2 kW

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