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Elektrischer Schwingkreis

About points...

We associate a certain number of points with each exercise.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.

That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.

About difficulty...

We associate a certain difficulty with each exercise.
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
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

Level 4 - Exercise needs to be solved by algebraic equations, not possible to calculate numerical "in-between" results. Example exercise

Level 5 -
Level 6 -

Exercise

https://texercises.com/exercise/elektrischer-schwingkreis/

Question

Solution

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Exercise:
Gegeben ist die Differentialgleichung ddot I + fracLCI welche den zeitlichen Verlauf des Stroms It in einem ungedämpften LC-Schwingkreis RpqOmega beschreibt. abcliste abc Von welchem Typ ist diese Differentialgleichung? ausführliche Bezeichnung verlangt abc Schreibe die allgemeine Lösung It dieser Differentialgleichung auf und zeige explizit dass sie die Differentialgleichung erfüllt. abc Bestimme die Einzellösung für die folgen Anfangsbedingungen: Ipq.mA dot I. Zusatzfrage: Welche Einheit hat dot I? abc Bestimme die Frequenz der entstehen Schwingung für L pqH und C pqnF. abcliste

Solution:
abcliste abc homogene lineare Differentialgleichung . Ordnung mit konstanten Koeffizienten abc It hat I_sinomega t + hat I_cosomega t mit omega sqrtfracLC. abc It pq.mAcosomega t Zusatzfrage: I hat die Einheit Ampère einmal abgeleitet heisst einmal durch die Zeit geteilt also hat dot I die Einheit mathrmA/s. abc Die Frequenz ist f fracomegapi fracpisqrtLC pqHz. abcliste

Meta Information

\(\LaTeX\)-Code

Contained in these collections:

PAM Matura 2003 Stans by uz

2 | 5
Matura-Training Elektromagnetismus by uz

9 | 12
Schwingung by kf

1 | 2

Attributes & Decorations

Tags	ampère, differentialgleichung, einheit, elektromagnetismus, frequenz, homogen, koeffizienten, konstante, lc, lc-kreis, lineare, mathematik, ordnung, physik, schwingkreis, strom, stromstärke
Content image
Difficulty	(4, default)
Points	8 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
Decoration
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Link