A 10km long underground cable extends from east to west and consists of two parallel wires, each of which has resistance =13Ω/km . A short develops at distance x from the west end when a conducting path of resistance R connects the wires. The resistance of the wires and the short is then 100Ω when measurement is made from east end, and 200Ω when it is made from the west end. What is the value of R (ohm)?

Question

A 10km long underground cable extends from east to west and consists of two parallel wires, each of which has resistance =13Ω/km . A short develops at distance x from the west end when a conducting path of resistance R connects the wires. The resistance of the wires and the short is then 100Ω  when measurement is made from east end, and 200Ω  when it is made from the west end. What is the value of R (ohm)?

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