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Magnetfeld eines kupfernen Rings

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Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)-fonts, we wanted symbols that need less space than six stars in a table-column... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.

That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:

Level 1 - One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise

Level 2 - Two formulas are needed, it's possible to compute an "in-between" solution, i.e. no algebraic equation needed. Example exercise

Level 3 - "Chain-computations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise

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Level 5 -
Level 6 -

Exercise

https://texercises.com/exercise/magnetfeld-eines-kupfernen-rings/

Question

Solution

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The following quantities appear in the problem: Länge \(\ell\) / elektrische Stromstärke \(I\) / Magnetische Flussdichte \(B\) / elektrische Spannung \(U\) / elektrischer Widerstand \(R\) / Fläche \(A\) / Radius \(r\) / spezifischer elektrischer Widerstand \(\rho\) /

The following formulas must be used to solve the exercise: \(B = \dfrac{\mu_0 I}{2r} \quad \) \(U=RI \quad \) \(R = \varrho \dfrac{\ell}{A} \quad \)

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Exercise:
Welches Magnetfeld entsteht im Zentrum eines kupfernen Ringes mit cm Radius und millimetersquared Querschnittsfläche wenn man V Spannung an ihn anlegt? Der spezifische Widerstand von Kupfer beträgt .ohmmeter.

Solution:
boxGegeben r cmm A millimetersquared metersquared U V rho .ohmmeter boxGesucht textMagnetfeld Bsitesla Der Widerstand des Ringes beträgt: R rho fracellA rho fracpi rAbf .ohmmeter fracpi mmetersquared .ohm Die Stromstärke im Ring ist somit: I fracUR fracUApi r rho .eA Das Magnetfeld beträgt damit: B fracmu_ I r fracmu_ UApi r^rho .T boxbox B fracmu_ UApi rho r^ .T

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Contained in these collections:

Magnetfeld Kreisstrom Ohm'sches Gesetz Widerstand Leiter by TeXercises

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Attributes & Decorations

Branches	Magnetism
Tags	elektromagnetismus, kupfer, magnetfeld, magnetismus, physik, ring
Content image
Difficulty	(3, default)
Points	5 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
Decoration
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