Underground cable with electrical short

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SUMMARY

The discussion focuses on solving a problem involving a 10-km-long underground cable with two parallel wires, each having a resistance of 13 ohm/km. An electrical short occurs at a distance x from the west end, creating a total resistance of 100 ohm when measured from the east end and 200 ohm from the west end. The key to solving the problem lies in determining the values of x and the resistance R of the short circuit. The solution requires applying principles of electrical resistance in series and parallel configurations.

PREREQUISITES
  • Understanding of electrical resistance in series and parallel circuits
  • Knowledge of Ohm's Law and its application
  • Familiarity with calculating total resistance in electrical networks
  • Basic algebra skills for solving equations
NEXT STEPS
  • Study the principles of series and parallel resistance calculations
  • Learn about Ohm's Law and its implications in circuit analysis
  • Explore electrical circuit analysis techniques, such as mesh and nodal analysis
  • Investigate practical applications of underground cable systems and their resistance characteristics
USEFUL FOR

Electrical engineering students, circuit designers, and professionals involved in the analysis and troubleshooting of electrical systems, particularly those dealing with underground cable installations.

carlyn medona

Homework Statement


A 10-km-long underground cable extends east to west and
consists of two parallel wires, each of which has resistance 13 ohm /km.
An electrical short develops at distance x from the west end when
a conducting path of resistance R
connects the wires (Fig. 27-31). The
resistance of the wires and the short
is then 100 ohm when measured from
the east end and 200 ohm when measured
from the west end. What are
(a) x and (b) R?

Homework Equations

The Attempt at a Solution


Actually I don't know how to start this problem, should the total resistance of wire and R get added up?
 
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I actually solved it.
 

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