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Nichtrelativistische Larmorformel

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Again, very vague... But the number should kind of represent the "work" required.

About difficulty...

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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

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/nichtrelativistische-larmorformel/

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Exercise:
Wenn sich eine Punktladung gleichmässig auf einem Kreis bewegt so ist sie beschleunigt. Eine beschleunigte Ladung strahlt mit folger Leistung elektromagnetische Wellen ab: P fracq^a^pi varepsilon_ c^ quad textnichtrelativistische Larmorformel Mit welcher Bahngeschwindigkeit müssten sich die Elektronen bewegen damit bei einem Kreisstrom mit rO Radius und IO elektrischer Stromstärke PO Leistung abgestrahlt wird?

Solution:
Aus den Bedingungen afracv^r qquad land qquad I fracDelta QDelta t fracN evpi r folgt: P N fracq^pivarepsilon_ c^ a^ fracpi r Iev frace^pivarepsilon_ c^ leftfracv^r right^ fracIev^varepsilon_ c^ r v csqrtfracvarepsilon_ r PI e ncc sqrtfrac nceps r PI nce .e Ausrufbox Die Rechnung zeigt dass der Verlust durch sogenannte Synchrotronstrahlung erst bei hoch relativistischen Geschwindigkeiten wichtig wird. Der relativistische Energieverlust durch Synchrotronstrahlung pro Umlauf ist Delta E fracq^ beta^ gamma^varepsilon_ r propto gamma^ Ausrufbox

Meta Information

\(\LaTeX\)-Code

Contained in these collections:

Elektromagnetische Wellen 2 by uz

6 | 6
Wellen: Intensität und Polarisation by Lie

3 | 11

Attributes & Decorations

Tags	beschleunigung, intensität, kreisbewegung, larmor, larmorformel, leistung, physik, punktladung, strahlung, strahlungsintensität, synchrotronstrahlung, welle, wellenlehre
Content image
Difficulty	(3, default)
Points	3 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	Lie
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