Ladungen im Quadrat
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
\(\LaTeX\)
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Exercise:
Drei Ladungen befinden sich an drei Ecken eines Quadrates. Die Seitelänge des Quadrates sei lcentim lang. Berechnen Sie die resultiere Kraft auf die Ladung q_ muC in der unteren rechten Ecke falls die Ladungen wie folgt verteilt sind q_ .muC unten links q_ - .muC oben links und q_ .muC oben rechts.
Solution:
Für die Kräfte zwischen den Ladungen gilt: eqnarray* F_ & fracpiepsilon_ fracq_q_l^ approx .Nmm F_ & F_ approx Nmm F_ & fracpiepsilon_ fracq_q_l^ approx N eqnarray* Da F_ und F_ bereits in Richtung der rechtwinkligen Koordinatenachsen zeigt muss nur F_ aufgeteilt werden alpha grad d.h. eqnarray* F_x & F_cosalpha approx .Nmm F_y & F_sinalpha approx .N eqnarray* Komponentenweise addition/subtraktion ergibt: eqnarray* F_Resx & F_ - F_x approx -.Nmm F_Resy & F_y - F_ approx .N eqnarray* Somit ist die resultiere Kraft: F_Res sqrtF_Resx^+F_Resy^ approx .N.
Drei Ladungen befinden sich an drei Ecken eines Quadrates. Die Seitelänge des Quadrates sei lcentim lang. Berechnen Sie die resultiere Kraft auf die Ladung q_ muC in der unteren rechten Ecke falls die Ladungen wie folgt verteilt sind q_ .muC unten links q_ - .muC oben links und q_ .muC oben rechts.
Solution:
Für die Kräfte zwischen den Ladungen gilt: eqnarray* F_ & fracpiepsilon_ fracq_q_l^ approx .Nmm F_ & F_ approx Nmm F_ & fracpiepsilon_ fracq_q_l^ approx N eqnarray* Da F_ und F_ bereits in Richtung der rechtwinkligen Koordinatenachsen zeigt muss nur F_ aufgeteilt werden alpha grad d.h. eqnarray* F_x & F_cosalpha approx .Nmm F_y & F_sinalpha approx .N eqnarray* Komponentenweise addition/subtraktion ergibt: eqnarray* F_Resx & F_ - F_x approx -.Nmm F_Resy & F_y - F_ approx .N eqnarray* Somit ist die resultiere Kraft: F_Res sqrtF_Resx^+F_Resy^ approx .N.
Meta Information
Exercise:
Drei Ladungen befinden sich an drei Ecken eines Quadrates. Die Seitelänge des Quadrates sei lcentim lang. Berechnen Sie die resultiere Kraft auf die Ladung q_ muC in der unteren rechten Ecke falls die Ladungen wie folgt verteilt sind q_ .muC unten links q_ - .muC oben links und q_ .muC oben rechts.
Solution:
Für die Kräfte zwischen den Ladungen gilt: eqnarray* F_ & fracpiepsilon_ fracq_q_l^ approx .Nmm F_ & F_ approx Nmm F_ & fracpiepsilon_ fracq_q_l^ approx N eqnarray* Da F_ und F_ bereits in Richtung der rechtwinkligen Koordinatenachsen zeigt muss nur F_ aufgeteilt werden alpha grad d.h. eqnarray* F_x & F_cosalpha approx .Nmm F_y & F_sinalpha approx .N eqnarray* Komponentenweise addition/subtraktion ergibt: eqnarray* F_Resx & F_ - F_x approx -.Nmm F_Resy & F_y - F_ approx .N eqnarray* Somit ist die resultiere Kraft: F_Res sqrtF_Resx^+F_Resy^ approx .N.
Drei Ladungen befinden sich an drei Ecken eines Quadrates. Die Seitelänge des Quadrates sei lcentim lang. Berechnen Sie die resultiere Kraft auf die Ladung q_ muC in der unteren rechten Ecke falls die Ladungen wie folgt verteilt sind q_ .muC unten links q_ - .muC oben links und q_ .muC oben rechts.
Solution:
Für die Kräfte zwischen den Ladungen gilt: eqnarray* F_ & fracpiepsilon_ fracq_q_l^ approx .Nmm F_ & F_ approx Nmm F_ & fracpiepsilon_ fracq_q_l^ approx N eqnarray* Da F_ und F_ bereits in Richtung der rechtwinkligen Koordinatenachsen zeigt muss nur F_ aufgeteilt werden alpha grad d.h. eqnarray* F_x & F_cosalpha approx .Nmm F_y & F_sinalpha approx .N eqnarray* Komponentenweise addition/subtraktion ergibt: eqnarray* F_Resx & F_ - F_x approx -.Nmm F_Resy & F_y - F_ approx .N eqnarray* Somit ist die resultiere Kraft: F_Res sqrtF_Resx^+F_Resy^ approx .N.
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