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https://texercises.com/exercise/voltage-applied-to-long-straight-conductor/
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The following quantities appear in the problem: elektrische Stromstärke \(I\) / Magnetische Flussdichte \(B\) / elektrische Spannung \(U\) / elektrischer Widerstand \(R\) /
The following formulas must be used to solve the exercise: \(B = \dfrac{\mu_0 I}{2\pi r} \quad \) \(U=RI \quad \)
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Exercise:
What voltage would you have to apply to a long straight conductor with RO resistance so that you can measure BO at rO distance from it?

Solution:
Geg R RO R B BO B r rO r GesVoltageUsiV In order to measure BO magnetic field strength there has to flow a current of I fracpi r Bmu_ frac pi r Bncmu I in the conductor. One has to apply U RI R fracpi r Bmu_ R I U approx US UP to the two s of the conductor to make that happen. U fracpi r BRmu_ US UP
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Exercise:
What voltage would you have to apply to a long straight conductor with RO resistance so that you can measure BO at rO distance from it?

Solution:
Geg R RO R B BO B r rO r GesVoltageUsiV In order to measure BO magnetic field strength there has to flow a current of I fracpi r Bmu_ frac pi r Bncmu I in the conductor. One has to apply U RI R fracpi r Bmu_ R I U approx US UP to the two s of the conductor to make that happen. U fracpi r BRmu_ US UP
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Attributes & Decorations
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Tags
elektromagnetismus, gerader, langer, leiter, magnetfeld, ohmsches gesetz, physik, spannung, widerstand
Difficulty
(2, default)
Points
5 (default)
Language
ENG (English)
Type
Calculative / Quantity
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