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Two cities are 200km apart. Electric pow...

Two cities are 200km apart. Electric power is sent from one city to another city through copper wires. The fall of potential is 4V per km and average resistance per km in `0.2Omega` . The power loss in the wire will be

A

16kW

B

20kW

C

12kW

D

18kW

Text Solution

Verified by Experts

The correct Answer is:
A
Use `P+V^2/R`
`V_("wire") = 200xx4=800V`
`R_("wire")=200xx0.2 = 40Omega`
Power loss through wire is
`P=V^2/R = (800xx800)/(40)= 16xx10^3W`
`P_("losss") = 16kW`
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