Zwei Lautsprecher
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.
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 -
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 -
Question
Solution
Short
Video
\(\LaTeX\)
Need help? Yes, please!
The following quantities appear in the problem:
Zeit \(t\) / Strecke \(s\) / Kreiswellenzahl \(k\) / Winkelgeschwindigkeit / Kreisfrequenz \(\omega\) / Anzahl \(N\) / Amplitude \(\hat y\) / Elongation \(y_t\) / Wellenlänge \(\lambda\) /
The following formulas must be used to solve the exercise:
\(y(x,t) = \hat y \cdot \sin(\omega t - kx + \varphi_0) \quad \) \(\Delta s = k \lambda \quad\text{bzw.}\quad \Delta s = (2k-1)\frac{\lambda}{2} \quad \)
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Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
Zwei Lautsprecher befinden sich auf der x-Achse bei x_pqm und x_pqm. Sie sen Schallwellen mit einer Frequenz von pqHz aus und haben eine Phasenverschiebung von pq.rad. Bestimme alle Punkte auf der x-Achse welche sich zwischen den beiden Lautsprechern befinden und an welchen konstruktive Interferenz auftritt.
Solution:
Ohne Beschränkung der Allgemeinheit gelte: y_x_'t A sinkx_'-omega t y_x_' t A sinkx_'-omega t+phi wobei x_i' der Abstand von Lautsprecher i zu einem bestimmten Punkt x auf der x-Achse sei. Somit kann man immer schreiben x_x und x_-x. Die Phasifferenz der beiden Wellen in einem bestimmten Punkt x ist dann: Delta phi kx_-x_ + phi k Delta x + phi k-x+phi Konstruktive Interferenz tritt auf wenn Delta phi mustbe pi pi ... Somit findet man für die Stellen x_n konstruktiver Interferenz: x_n -fracnpi-phik quad ninmathbbZ x_ pq.m
Zwei Lautsprecher befinden sich auf der x-Achse bei x_pqm und x_pqm. Sie sen Schallwellen mit einer Frequenz von pqHz aus und haben eine Phasenverschiebung von pq.rad. Bestimme alle Punkte auf der x-Achse welche sich zwischen den beiden Lautsprechern befinden und an welchen konstruktive Interferenz auftritt.
Solution:
Ohne Beschränkung der Allgemeinheit gelte: y_x_'t A sinkx_'-omega t y_x_' t A sinkx_'-omega t+phi wobei x_i' der Abstand von Lautsprecher i zu einem bestimmten Punkt x auf der x-Achse sei. Somit kann man immer schreiben x_x und x_-x. Die Phasifferenz der beiden Wellen in einem bestimmten Punkt x ist dann: Delta phi kx_-x_ + phi k Delta x + phi k-x+phi Konstruktive Interferenz tritt auf wenn Delta phi mustbe pi pi ... Somit findet man für die Stellen x_n konstruktiver Interferenz: x_n -fracnpi-phik quad ninmathbbZ x_ pq.m
Meta Information
Exercise:
Zwei Lautsprecher befinden sich auf der x-Achse bei x_pqm und x_pqm. Sie sen Schallwellen mit einer Frequenz von pqHz aus und haben eine Phasenverschiebung von pq.rad. Bestimme alle Punkte auf der x-Achse welche sich zwischen den beiden Lautsprechern befinden und an welchen konstruktive Interferenz auftritt.
Solution:
Ohne Beschränkung der Allgemeinheit gelte: y_x_'t A sinkx_'-omega t y_x_' t A sinkx_'-omega t+phi wobei x_i' der Abstand von Lautsprecher i zu einem bestimmten Punkt x auf der x-Achse sei. Somit kann man immer schreiben x_x und x_-x. Die Phasifferenz der beiden Wellen in einem bestimmten Punkt x ist dann: Delta phi kx_-x_ + phi k Delta x + phi k-x+phi Konstruktive Interferenz tritt auf wenn Delta phi mustbe pi pi ... Somit findet man für die Stellen x_n konstruktiver Interferenz: x_n -fracnpi-phik quad ninmathbbZ x_ pq.m
Zwei Lautsprecher befinden sich auf der x-Achse bei x_pqm und x_pqm. Sie sen Schallwellen mit einer Frequenz von pqHz aus und haben eine Phasenverschiebung von pq.rad. Bestimme alle Punkte auf der x-Achse welche sich zwischen den beiden Lautsprechern befinden und an welchen konstruktive Interferenz auftritt.
Solution:
Ohne Beschränkung der Allgemeinheit gelte: y_x_'t A sinkx_'-omega t y_x_' t A sinkx_'-omega t+phi wobei x_i' der Abstand von Lautsprecher i zu einem bestimmten Punkt x auf der x-Achse sei. Somit kann man immer schreiben x_x und x_-x. Die Phasifferenz der beiden Wellen in einem bestimmten Punkt x ist dann: Delta phi kx_-x_ + phi k Delta x + phi k-x+phi Konstruktive Interferenz tritt auf wenn Delta phi mustbe pi pi ... Somit findet man für die Stellen x_n konstruktiver Interferenz: x_n -fracnpi-phik quad ninmathbbZ x_ pq.m
Contained in these collections
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Interferierende Lautsprecher by TeXercises
| Title | Matched on |
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| Zwei Lautsprecher | title |
| Zwei Lautsprecher | title |
| Zwei Lautsprecher | title |
| Zwei Lautsprecher | title |
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