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

ID: 2120109 • Letter: A

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 5.00 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 15.00 ?; 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=90/105*5=4.29km from C

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