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Example 14. This question concerns an engineer investigating a faulty 10 underground electric cable. The underground cable consists of two parallel wires each of length L = 1.750 km. At a distance d from terminals 1 and 2 it develops a fault which is characterised by a resistance _Ry between the lines as 20 represented in ſigure. The resistance measured between terminals 1 and 2 is R, = 415.0n and the resistance measured between terminals 3 and 4 is R2 = 430.52 Terminals 3 and 4 are then connected by a wire of negligible resistance. The measured resistance between terminals 1 and 2 now becomes R3 = 45.52 (a) Obtain a value for the resistance R of the total length, 2L, of lines assuming Rx >> R. (b) Hence calculate the values of d and Ry. (c) Make an estimate of the inaccuracy (an appropriate per cent) introduced by the assumption used in (a). The lines of the cable lie in the ground one above the other with a vertical separation of 0.010 m. The upper line is 0.5 m below the surface of the earth. A DC generator when attached to terminals 1 and 2, with terminals 3 and 4 unconnected, can supply a current of 12 A. The engineer suggests that he will be able to find the position of the fault by detecting a magnetic field at the surface of the ground along the path of the cable. The engineer has available a sensitive fluxmeter capable of detecting changes of 2.5 x 10-6 T. 3 %3! (d) Discuss the feasibility of the above suggestion.

Example 14. This question concerns an engineer investigating a faulty 10 underground electric cable. The underground cable consists of two parallel wires each of length L = 1.750 km. At a distance d from terminals 1 and 2 it develops a fault which is characterised by a resistance _Ry between the lines as 20 represented in ſigure. The resistance measured between terminals 1 and 2 is R, = 415.0n and the resistance measured between terminals 3 and 4 is R2 = 430.52 Terminals 3 and 4 are then connected by a wire of negligible resistance. The measured resistance between terminals 1 and 2 now becomes R3 = 45.52 (a) Obtain a value for the resistance R of the total length, 2L, of lines assuming Rx >> R. (b) Hence calculate the values of d and Ry. (c) Make an estimate of the inaccuracy (an appropriate per cent) introduced by the assumption used in (a). The lines of the cable lie in the ground one above the other with a vertical separation of 0.010 m. The upper line is 0.5 m below the surface of the earth. A DC generator when attached to terminals 1 and 2, with terminals 3 and 4 unconnected, can supply a current of 12 A. The engineer suggests that he will be able to find the position of the fault by detecting a magnetic field at the surface of the ground along the path of the cable. The engineer has available a sensitive fluxmeter capable of detecting changes of 2.5 x 10-6 T. 3 %3! (d) Discuss the feasibility of the above suggestion.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Example 14. This question concerns an engineer investigating a faulty 10 underground electric cable. The underground cable consists of two parallel wires each of length L = 1.750 km. At a distance d from terminals 1 and 2 it develops a fault which is characterised by a resistance _Ry between the lines as 20 represented in ſigure. The resistance measured between terminals 1 and 2 is R, = 415.0n and the resistance measured between terminals 3 and 4 is R2 = 430.52 Terminals 3 and 4 are then connected by a wire of negligible resistance. The measured resistance between terminals 1 and 2 now becomes R3 = 45.52 (a) Obtain a value for the resistance R of the total length, 2L, of lines assuming Rx >> R. (b) Hence calculate the values of d and Ry. (c) Make an estimate of the inaccuracy (an appropriate per cent) introduced by the assumption used in (a). The lines of the cable lie in the ground one above the other with a vertical separation of 0.010 m. The upper line is 0.5 m below the surface of the earth. A DC generator when attached to terminals 1 and 2, with terminals 3 and 4 unconnected, can supply a current of 12 A. The engineer suggests that he will be able to find the position of the fault by detecting a magnetic field at the surface of the ground along the path of the cable. The engineer has available a sensitive fluxmeter capable of detecting changes of 2.5 x 10-6 T. 3 %3! (d) Discuss the feasibility of the above suggestion.
Transcribed Image Text:Example 14. This question concerns an engineer investigating a faulty 10 underground electric cable. The underground cable consists of two parallel wires each of length L = 1.750 km. At a distance d from terminals 1 and 2 it develops a fault which is characterised by a resistance _Ry between the lines as 20 represented in ſigure. The resistance measured between terminals 1 and 2 is R, = 415.0n and the resistance measured between terminals 3 and 4 is R2 = 430.52 Terminals 3 and 4 are then connected by a wire of negligible resistance. The measured resistance between terminals 1 and 2 now becomes R3 = 45.52 (a) Obtain a value for the resistance R of the total length, 2L, of lines assuming Rx >> R. (b) Hence calculate the values of d and Ry. (c) Make an estimate of the inaccuracy (an appropriate per cent) introduced by the assumption used in (a). The lines of the cable lie in the ground one above the other with a vertical separation of 0.010 m. The upper line is 0.5 m below the surface of the earth. A DC generator when attached to terminals 1 and 2, with terminals 3 and 4 unconnected, can supply a current of 12 A. The engineer suggests that he will be able to find the position of the fault by detecting a magnetic field at the surface of the ground along the path of the cable. The engineer has available a sensitive fluxmeter capable of detecting changes of 2.5 x 10-6 T. 3 %3! (d) Discuss the feasibility of the above suggestion.
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