Spule am Leitungsnetz
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:
Eine Spule mit L Induktivität wird ans Ueffo angeschlossen. Berechne wie viel nach einem Spannungsmaximum das erste Mal eine momentane Stromstärke von betragsmässig io registriert wird.
Solution:
Geg L L Ueffo rightarrow sscUeff Ueff f f rightarrow omega fC i io i % GesZeitt sis % Der Blindwiderstand der Spule beträgt solqtyZomega LfCn*Lnohm al Z Zf fC L Z. Der Spitzenwert der Stromstärke beträgt folglich solqtyhatifracsqrtsscUeffomega Lsqrt*Ueffn/fCn*LnA al hatimath frachat uZ fracsqrtsscUeffZf hatif fracsqrt UeffZ hati. Wollen wir die Zeit relativ zum Spannungsmaximum so setzen wir für die Spannungsfunktion eine Cosinus-Funktion an: al ut hat u cosomega t. Bei der Spule hinkt der Strom herher deshalb schreiben wir al it hat imath cosomega t - fracpi hatimath sinomega t. Um den Zeitpunkt zu bestimmen zu dem die Stromstärke das erste Mal io beträgt müssen wir diese Funktion nach t auflösen: solqtytfracomega arcsinfraciomega LsqrtsscUeff/fCn*asinin/hatins al t fracomega arcsinfracihatimath fracomega arcsinfracihatif tf fracfC arcsinfracihati t approw tII. % t tf &approx tII
Eine Spule mit L Induktivität wird ans Ueffo angeschlossen. Berechne wie viel nach einem Spannungsmaximum das erste Mal eine momentane Stromstärke von betragsmässig io registriert wird.
Solution:
Geg L L Ueffo rightarrow sscUeff Ueff f f rightarrow omega fC i io i % GesZeitt sis % Der Blindwiderstand der Spule beträgt solqtyZomega LfCn*Lnohm al Z Zf fC L Z. Der Spitzenwert der Stromstärke beträgt folglich solqtyhatifracsqrtsscUeffomega Lsqrt*Ueffn/fCn*LnA al hatimath frachat uZ fracsqrtsscUeffZf hatif fracsqrt UeffZ hati. Wollen wir die Zeit relativ zum Spannungsmaximum so setzen wir für die Spannungsfunktion eine Cosinus-Funktion an: al ut hat u cosomega t. Bei der Spule hinkt der Strom herher deshalb schreiben wir al it hat imath cosomega t - fracpi hatimath sinomega t. Um den Zeitpunkt zu bestimmen zu dem die Stromstärke das erste Mal io beträgt müssen wir diese Funktion nach t auflösen: solqtytfracomega arcsinfraciomega LsqrtsscUeff/fCn*asinin/hatins al t fracomega arcsinfracihatimath fracomega arcsinfracihatif tf fracfC arcsinfracihati t approw tII. % t tf &approx tII
Meta Information
Exercise:
Eine Spule mit L Induktivität wird ans Ueffo angeschlossen. Berechne wie viel nach einem Spannungsmaximum das erste Mal eine momentane Stromstärke von betragsmässig io registriert wird.
Solution:
Geg L L Ueffo rightarrow sscUeff Ueff f f rightarrow omega fC i io i % GesZeitt sis % Der Blindwiderstand der Spule beträgt solqtyZomega LfCn*Lnohm al Z Zf fC L Z. Der Spitzenwert der Stromstärke beträgt folglich solqtyhatifracsqrtsscUeffomega Lsqrt*Ueffn/fCn*LnA al hatimath frachat uZ fracsqrtsscUeffZf hatif fracsqrt UeffZ hati. Wollen wir die Zeit relativ zum Spannungsmaximum so setzen wir für die Spannungsfunktion eine Cosinus-Funktion an: al ut hat u cosomega t. Bei der Spule hinkt der Strom herher deshalb schreiben wir al it hat imath cosomega t - fracpi hatimath sinomega t. Um den Zeitpunkt zu bestimmen zu dem die Stromstärke das erste Mal io beträgt müssen wir diese Funktion nach t auflösen: solqtytfracomega arcsinfraciomega LsqrtsscUeff/fCn*asinin/hatins al t fracomega arcsinfracihatimath fracomega arcsinfracihatif tf fracfC arcsinfracihati t approw tII. % t tf &approx tII
Eine Spule mit L Induktivität wird ans Ueffo angeschlossen. Berechne wie viel nach einem Spannungsmaximum das erste Mal eine momentane Stromstärke von betragsmässig io registriert wird.
Solution:
Geg L L Ueffo rightarrow sscUeff Ueff f f rightarrow omega fC i io i % GesZeitt sis % Der Blindwiderstand der Spule beträgt solqtyZomega LfCn*Lnohm al Z Zf fC L Z. Der Spitzenwert der Stromstärke beträgt folglich solqtyhatifracsqrtsscUeffomega Lsqrt*Ueffn/fCn*LnA al hatimath frachat uZ fracsqrtsscUeffZf hatif fracsqrt UeffZ hati. Wollen wir die Zeit relativ zum Spannungsmaximum so setzen wir für die Spannungsfunktion eine Cosinus-Funktion an: al ut hat u cosomega t. Bei der Spule hinkt der Strom herher deshalb schreiben wir al it hat imath cosomega t - fracpi hatimath sinomega t. Um den Zeitpunkt zu bestimmen zu dem die Stromstärke das erste Mal io beträgt müssen wir diese Funktion nach t auflösen: solqtytfracomega arcsinfraciomega LsqrtsscUeff/fCn*asinin/hatins al t fracomega arcsinfracihatimath fracomega arcsinfracihatif tf fracfC arcsinfracihati t approw tII. % t tf &approx tII
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Passive Schaltelemente by uz
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Passive Schaltelemente by pw