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Magnetfeldstärke in gewickelter Spule

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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

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Level 5 -
Level 6 -

Exercise

https://texercises.com/exercise/magnetfeldstarke-in-gewickelter-spule/

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Exercise:
Ein lO langer Draht aus Wolfram rWO mit dO Dicke bzw. Durchmesser werde zu einer Spule mit rO Radius gewickelt und anschliess an UO angeschlossen. Welche Magnetfeldstärke kann man in der Mitte der Spule erwarten?

Solution:
Geg L lO l rho rWO rW d dO d r rO r U UO U GesSpulen-Längeellsim Eine Windung der Spule besteht aus ell_ pi r pi r u Draht. Man kann aus dem Draht also N fracLell_ fracLpi r fraclu Na Windungen machen. Alle diese Windungen aneinander gereiht ergeben eine ell N d fracdLpi r Na d lS lSP- lange Spule. Der Radius des Wolfram-Drahtes ist dfracr womit seine Querschnittsfläche SolQtyApi*dX^/metersquared A pi r^ pi leftfracdright^ pi fracd^ pi fracqtyd^ A und sein Widerstand SolQtyRrWX*lX/AXohm R rho fracLA rho fracLpi d^ rW fraclA R sind. An UO Spannung fliessen durch den Draht also SolQtyIUX/RXA I fracUR fracUrho fracLpi d^ fracpi d^ Urho L fracUR I Stromstärke. Diese erzeugt in der Mitte der Spule SolQtyBncmun*lSX/NaX*IXT B mu_ fracellN I mu_ fracellN fracpi d^ Urho L ncmu fraclSNa I B B mu_ fracpi ell d^ Urho NL B

Meta Information

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Contained in these collections:

Magnetfeld -- Spule by uz

7 | 10
Magnetismus und Optik by ha

9 | 12

Asked Quantity: Magnetische Flussdichte \(B\) in Tesla \(\rm T\)

Attributes & Decorations

Tags	durchmesser, geometrie, kreis, physik, spule
Content image
Difficulty	(3, default)
Points	8 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
Decoration
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