Kubus
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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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:
Zwölf Kabel mit je pqOmega Widerstand sind zu einem Würfel verbunden; so wie in der Skizze dargestellt. Welche Stromstärke zeigt der Strommesser an wenn man längs der Raumdiagonalen eine Spannung von pqV anlegt also an den beiden mit Kreisen markierten Ecken? center tikzpicturescale. draw --------cycle; draw --------cycle; draw ----; draw ----; draw --; drawfillblack circle .; drawfillblack circle .; tikzpicture center
Solution:
Von jedem Ecken des Würfels gehen Widerstände weg. An den Enden dieser drei Widerstände hängen insgesamt weitere Widerstände an jedem der ersten drei sind zwei macht daher sechs. Und diese sechs sind auf der anderen Seite wieder mit Widerständen verbunden die zur diagonal gegenüberliegen Ecke führen. Man hat also eine Serie aus parallelen parallelen parallelen Widerständen. Daher gibt es einen Ersatzwiderstand von Rers fracR + fracR + fracR fracR pq.Omega.
Zwölf Kabel mit je pqOmega Widerstand sind zu einem Würfel verbunden; so wie in der Skizze dargestellt. Welche Stromstärke zeigt der Strommesser an wenn man längs der Raumdiagonalen eine Spannung von pqV anlegt also an den beiden mit Kreisen markierten Ecken? center tikzpicturescale. draw --------cycle; draw --------cycle; draw ----; draw ----; draw --; drawfillblack circle .; drawfillblack circle .; tikzpicture center
Solution:
Von jedem Ecken des Würfels gehen Widerstände weg. An den Enden dieser drei Widerstände hängen insgesamt weitere Widerstände an jedem der ersten drei sind zwei macht daher sechs. Und diese sechs sind auf der anderen Seite wieder mit Widerständen verbunden die zur diagonal gegenüberliegen Ecke führen. Man hat also eine Serie aus parallelen parallelen parallelen Widerständen. Daher gibt es einen Ersatzwiderstand von Rers fracR + fracR + fracR fracR pq.Omega.
Meta Information
Exercise:
Zwölf Kabel mit je pqOmega Widerstand sind zu einem Würfel verbunden; so wie in der Skizze dargestellt. Welche Stromstärke zeigt der Strommesser an wenn man längs der Raumdiagonalen eine Spannung von pqV anlegt also an den beiden mit Kreisen markierten Ecken? center tikzpicturescale. draw --------cycle; draw --------cycle; draw ----; draw ----; draw --; drawfillblack circle .; drawfillblack circle .; tikzpicture center
Solution:
Von jedem Ecken des Würfels gehen Widerstände weg. An den Enden dieser drei Widerstände hängen insgesamt weitere Widerstände an jedem der ersten drei sind zwei macht daher sechs. Und diese sechs sind auf der anderen Seite wieder mit Widerständen verbunden die zur diagonal gegenüberliegen Ecke führen. Man hat also eine Serie aus parallelen parallelen parallelen Widerständen. Daher gibt es einen Ersatzwiderstand von Rers fracR + fracR + fracR fracR pq.Omega.
Zwölf Kabel mit je pqOmega Widerstand sind zu einem Würfel verbunden; so wie in der Skizze dargestellt. Welche Stromstärke zeigt der Strommesser an wenn man längs der Raumdiagonalen eine Spannung von pqV anlegt also an den beiden mit Kreisen markierten Ecken? center tikzpicturescale. draw --------cycle; draw --------cycle; draw ----; draw ----; draw --; drawfillblack circle .; drawfillblack circle .; tikzpicture center
Solution:
Von jedem Ecken des Würfels gehen Widerstände weg. An den Enden dieser drei Widerstände hängen insgesamt weitere Widerstände an jedem der ersten drei sind zwei macht daher sechs. Und diese sechs sind auf der anderen Seite wieder mit Widerständen verbunden die zur diagonal gegenüberliegen Ecke führen. Man hat also eine Serie aus parallelen parallelen parallelen Widerständen. Daher gibt es einen Ersatzwiderstand von Rers fracR + fracR + fracR fracR pq.Omega.
Contained in these collections:
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Ersatzwiderstand 2 by uz