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  • A 10-km-long underground cable extends east to west and consists of two parallel wires, each of which has resistance. A short de

A 10-km-long underground cable extends east to west and consists of two parallel wires, each of which has resistance13\Omega\; km. A short develops at distance x from the west end when a conducting path of resistance R connects the wires (figure). The
resistance of the wires and the short is then 100\Omega when the measurement is made from the east end,200\; \Omega when it is made from the west end. What is value of R (in ohm).

 

Option: 1

20\: \Omega


Option: 2

25\: \Omega


Option: 3

30\: \Omega


Option: 4

35\: \Omega


Answers (1)

best_answer

\begin{aligned} & 13(2 x)+R=200 \\ & 13(2(10-x))+R=100 \\ & 260+2 R=300 \\ & R=20 \Omega \end{aligned}

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Gaurav

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