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https://texercises.com/exercise/telephone-line/
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The following quantities appear in the problem: Länge \(\ell\) / elektrischer Widerstand \(R\) / Fläche \(A\) / spezifischer elektrischer Widerstand \(\rho\) /
The following formulas must be used to solve the exercise: \(R = \varrho \dfrac{\ell}{A} \quad \)
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Exercise:
An underground copper telephone cable cross sectional area AO is out of order: The two wires touch at some place. To find the exact position of the defect the resistance between the s of the wires is measured and found to have a value of RO. How far away is the defect?

Solution:
The resistance of a wire is given by R sscrhoelfracLA Solving for the length of the wire leads to L lenF fracRtimes Ar len approx resultlenP Since the telephone line runs to the defect and back the distance is half of the calculated length i.e. distP.
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Exercise:
An underground copper telephone cable cross sectional area AO is out of order: The two wires touch at some place. To find the exact position of the defect the resistance between the s of the wires is measured and found to have a value of RO. How far away is the defect?

Solution:
The resistance of a wire is given by R sscrhoelfracLA Solving for the length of the wire leads to L lenF fracRtimes Ar len approx resultlenP Since the telephone line runs to the defect and back the distance is half of the calculated length i.e. distP.
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Attributes & Decorations
Branches
Direct Current
Tags
resistance, resistivity
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Difficulty
(1, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator by
Decoration