Exercise
https://texercises.com/exercise/resistance-of-a-long-straight-wire/
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The following quantities appear in the problem: elektrische Stromstärke \(I\) / Magnetische Flussdichte \(B\) / elektrische Spannung \(U\) / Leistung \(P\) / elektrischer Widerstand \(R\) /
The following formulas must be used to solve the exercise: \(P = UI \quad \) \(B = \dfrac{\mu_0 I}{2\pi r} \quad \) \(U=RI \quad \)
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Exercise:
A long straigth wire dissipates PO in heat due to an electric current flowing through it. What resistance does the conductor have if one measures BO in rO distance from it? One inch is .cm.

Solution:
Geg P PO P B BO B r rO r GesResistanceRsiohm The current in the wire is I fracpi r Bmu_ fracpi r Bncmu I so the applied voltage equals U fracPI fracPfracpi r Bmu_ fracmu_ Ppi r B fracPI U. The resistance of the conductor therefore is: R fracUI fracfracmu_ Ppi r Bfracpi r Bmu_ fracmu_^Ppi r B^ fracUI R approx RS RP- R fracmu_^Ppi r B^ RS RP-
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Exercise:
A long straigth wire dissipates PO in heat due to an electric current flowing through it. What resistance does the conductor have if one measures BO in rO distance from it? One inch is .cm.

Solution:
Geg P PO P B BO B r rO r GesResistanceRsiohm The current in the wire is I fracpi r Bmu_ fracpi r Bncmu I so the applied voltage equals U fracPI fracPfracpi r Bmu_ fracmu_ Ppi r B fracPI U. The resistance of the conductor therefore is: R fracUI fracfracmu_ Ppi r Bfracpi r Bmu_ fracmu_^Ppi r B^ fracUI R approx RS RP- R fracmu_^Ppi r B^ RS RP-
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Attributes & Decorations
Branches
Magnetism
Tags
draht, elektromagnetismus, gauss, gerader, langer, leiter, magnetfeld, magnetismus, physik, tesla, wärme, wärmeleistung
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Difficulty
(3, default)
Points
3 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
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Link