An underground telephone cable, consisting of a pair of wires, has suffered a sh

Question

An underground telephone cable, consisting of a pair of wires, has suffered a short somewhere along its length (at point P in the Figure). The telephone cable is 4.00 km long, and in order to determine where the short is, a technician first measures the resistance between terminals AB; then he measures the resistance across the terminals CD. The first measurement yields 20.00 ?; the second 90.00 ?. Where is the short? Give your answer as a distance from point C. Assume that the telephone wires are of uniform diameter.

An underground telephone cable, consisting of a pair of wires, has suffered a short somewhere along its length (at point P in the Figure). The telephone cable is 4.00 km long, and in order to determine where the short is, a technician first measures the resistance between terminals AB; then he measures the resistance across the terminals CD. The first measurement yields 20.00 ?; the second 90.00 ?. Where is the short? Give your answer as a distance from point C. Assume that the telephone wires are of uniform diameter.

Explanation / Answer

Distance from C = 4km * 90/(20+90).

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