Sinusförmiger magnetischer Fluss
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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
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Exercise:
Der magnetische Fluss durch eine rotiere flache Spule sei gegeben durch varPhitvarPhi_sinomega t. Gegeben sind ausserdem: fsiHz varPhi_^-siVs und N. enumerate item Skizzieren Sie qualitativ in korrektem zeitlichem Verhältnis zueinander das varPhi-t-Diagramm und das U_mathrmind-t-Diagramm. item Wie gross ist der Scheitelwert der induzierten Spannung? item Zu welchem Zeitpunkt wird zum ersten Mal nach t die textithalbe negative Scheitelspannung erreicht? enumerate
Solution:
enumerate item textvspacpt center tikzpicturelatex draw - --.*pi noderightt; draw - -- nodeleftvarPhi; draw Redthicksmoothdomain:*pi plotsamplesidsin function.*sinx; scopeyshift-cm draw - --.*pi noderightt; draw - -.--. nodeleftU_mathrmind; draw Bluethicksmoothdomain:*pi plotsamplesidsin function-cosx; scope draw dashed pi--pi-.; draw dashed pi/--pi/-.; draw dashed .*pi--.*pi-.; draw dashed *pi--*pi-.; tikzpicture center item Mit dem Induktionsgesetz erhalten wir: U_mathrmindt-NfracmathrmdvarPhimathrmdt-NvarPhi_omega cosomega t-NvarPhi_pi fcospi ft Für cosomega t wird |Ut| maximal. Dies gilt z.B. für t. Damit erhalten wir: U_-NvarPhi_pi f-siVRa |U_|resV item Geg.: Ut-.siV Mit der Funktionsgleichung für Ut folgt: Ut-NvarPhi_pi fcospi ftRa cospi ftfrac-Utpif NvarPhi_ Damit ergibt sich: tfracpifarccosleftfrac-Utpif NvarPhi_rightres. ^-s enumerate
Der magnetische Fluss durch eine rotiere flache Spule sei gegeben durch varPhitvarPhi_sinomega t. Gegeben sind ausserdem: fsiHz varPhi_^-siVs und N. enumerate item Skizzieren Sie qualitativ in korrektem zeitlichem Verhältnis zueinander das varPhi-t-Diagramm und das U_mathrmind-t-Diagramm. item Wie gross ist der Scheitelwert der induzierten Spannung? item Zu welchem Zeitpunkt wird zum ersten Mal nach t die textithalbe negative Scheitelspannung erreicht? enumerate
Solution:
enumerate item textvspacpt center tikzpicturelatex draw - --.*pi noderightt; draw - -- nodeleftvarPhi; draw Redthicksmoothdomain:*pi plotsamplesidsin function.*sinx; scopeyshift-cm draw - --.*pi noderightt; draw - -.--. nodeleftU_mathrmind; draw Bluethicksmoothdomain:*pi plotsamplesidsin function-cosx; scope draw dashed pi--pi-.; draw dashed pi/--pi/-.; draw dashed .*pi--.*pi-.; draw dashed *pi--*pi-.; tikzpicture center item Mit dem Induktionsgesetz erhalten wir: U_mathrmindt-NfracmathrmdvarPhimathrmdt-NvarPhi_omega cosomega t-NvarPhi_pi fcospi ft Für cosomega t wird |Ut| maximal. Dies gilt z.B. für t. Damit erhalten wir: U_-NvarPhi_pi f-siVRa |U_|resV item Geg.: Ut-.siV Mit der Funktionsgleichung für Ut folgt: Ut-NvarPhi_pi fcospi ftRa cospi ftfrac-Utpif NvarPhi_ Damit ergibt sich: tfracpifarccosleftfrac-Utpif NvarPhi_rightres. ^-s enumerate
Meta Information
Exercise:
Der magnetische Fluss durch eine rotiere flache Spule sei gegeben durch varPhitvarPhi_sinomega t. Gegeben sind ausserdem: fsiHz varPhi_^-siVs und N. enumerate item Skizzieren Sie qualitativ in korrektem zeitlichem Verhältnis zueinander das varPhi-t-Diagramm und das U_mathrmind-t-Diagramm. item Wie gross ist der Scheitelwert der induzierten Spannung? item Zu welchem Zeitpunkt wird zum ersten Mal nach t die textithalbe negative Scheitelspannung erreicht? enumerate
Solution:
enumerate item textvspacpt center tikzpicturelatex draw - --.*pi noderightt; draw - -- nodeleftvarPhi; draw Redthicksmoothdomain:*pi plotsamplesidsin function.*sinx; scopeyshift-cm draw - --.*pi noderightt; draw - -.--. nodeleftU_mathrmind; draw Bluethicksmoothdomain:*pi plotsamplesidsin function-cosx; scope draw dashed pi--pi-.; draw dashed pi/--pi/-.; draw dashed .*pi--.*pi-.; draw dashed *pi--*pi-.; tikzpicture center item Mit dem Induktionsgesetz erhalten wir: U_mathrmindt-NfracmathrmdvarPhimathrmdt-NvarPhi_omega cosomega t-NvarPhi_pi fcospi ft Für cosomega t wird |Ut| maximal. Dies gilt z.B. für t. Damit erhalten wir: U_-NvarPhi_pi f-siVRa |U_|resV item Geg.: Ut-.siV Mit der Funktionsgleichung für Ut folgt: Ut-NvarPhi_pi fcospi ftRa cospi ftfrac-Utpif NvarPhi_ Damit ergibt sich: tfracpifarccosleftfrac-Utpif NvarPhi_rightres. ^-s enumerate
Der magnetische Fluss durch eine rotiere flache Spule sei gegeben durch varPhitvarPhi_sinomega t. Gegeben sind ausserdem: fsiHz varPhi_^-siVs und N. enumerate item Skizzieren Sie qualitativ in korrektem zeitlichem Verhältnis zueinander das varPhi-t-Diagramm und das U_mathrmind-t-Diagramm. item Wie gross ist der Scheitelwert der induzierten Spannung? item Zu welchem Zeitpunkt wird zum ersten Mal nach t die textithalbe negative Scheitelspannung erreicht? enumerate
Solution:
enumerate item textvspacpt center tikzpicturelatex draw - --.*pi noderightt; draw - -- nodeleftvarPhi; draw Redthicksmoothdomain:*pi plotsamplesidsin function.*sinx; scopeyshift-cm draw - --.*pi noderightt; draw - -.--. nodeleftU_mathrmind; draw Bluethicksmoothdomain:*pi plotsamplesidsin function-cosx; scope draw dashed pi--pi-.; draw dashed pi/--pi/-.; draw dashed .*pi--.*pi-.; draw dashed *pi--*pi-.; tikzpicture center item Mit dem Induktionsgesetz erhalten wir: U_mathrmindt-NfracmathrmdvarPhimathrmdt-NvarPhi_omega cosomega t-NvarPhi_pi fcospi ft Für cosomega t wird |Ut| maximal. Dies gilt z.B. für t. Damit erhalten wir: U_-NvarPhi_pi f-siVRa |U_|resV item Geg.: Ut-.siV Mit der Funktionsgleichung für Ut folgt: Ut-NvarPhi_pi fcospi ftRa cospi ftfrac-Utpif NvarPhi_ Damit ergibt sich: tfracpifarccosleftfrac-Utpif NvarPhi_rightres. ^-s enumerate
Contained in these collections:
This is the original exercise.
| Title | Creator | |||
|---|---|---|---|---|
| Sinusförmiger magnetischer Fluss (gekürzt) | rb |

