Zyklotron
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
\(\LaTeX\)
Popocatomar, , 2011, digital photograph, Wikipedia
<Wikipedia> (retrieved on December 25, 2022)
Need help? Yes, please!
The following quantities appear in the problem:
Masse \(m\) / elektrische Ladung \(q, Q\) / Magnetische Flussdichte \(B\) / Kraft \(F\) / Energie \(E\) / Geschwindigkeit \(v\) / Radius \(r\) /
The following formulas must be used to solve the exercise:
\(E_{\rm \scriptscriptstyle kin} = \dfrac12 mv^2 \quad \) \(F = qvB \quad \) \(F = m\dfrac{v^2}{r} \quad \)
No explanation / solution video to this exercise has yet been created.
Visit our YouTube-Channel to see solutions to other exercises.
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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:
In einem Zyklotron können Protonen Formelbuch.kg auf einem Kreis von .m Durchmesser bis zu einer Energie von MeV beschleunigt werden. Welche magnetische Flussdichte müssen seine Magnete ungefähr haben?
Solution:
newqtyd.m newqtyEoMeV newqtyE.J % Geg textProtonenpf m ncmp d d E Eo E % GesMagnetfeldBsiT % Wenn die Protonen auf eine kinetische Energie von Eo beschleunigt werden so ist ihre Geschwindigkeit solqtyvsqrtfracEmsqrt*En/ncmpn v vf sqrtfrac Encmp v. Die Flussdichte des Magnetfeldes ist somit solqtyBfracsqrtmEed*ncmpn*vn/ncen*dnT B fracmver fracmvefracd Bf frac ncmp vnce d B % B Bf BTT
In einem Zyklotron können Protonen Formelbuch.kg auf einem Kreis von .m Durchmesser bis zu einer Energie von MeV beschleunigt werden. Welche magnetische Flussdichte müssen seine Magnete ungefähr haben?
Solution:
newqtyd.m newqtyEoMeV newqtyE.J % Geg textProtonenpf m ncmp d d E Eo E % GesMagnetfeldBsiT % Wenn die Protonen auf eine kinetische Energie von Eo beschleunigt werden so ist ihre Geschwindigkeit solqtyvsqrtfracEmsqrt*En/ncmpn v vf sqrtfrac Encmp v. Die Flussdichte des Magnetfeldes ist somit solqtyBfracsqrtmEed*ncmpn*vn/ncen*dnT B fracmver fracmvefracd Bf frac ncmp vnce d B % B Bf BTT
Meta Information
Exercise:
In einem Zyklotron können Protonen Formelbuch.kg auf einem Kreis von .m Durchmesser bis zu einer Energie von MeV beschleunigt werden. Welche magnetische Flussdichte müssen seine Magnete ungefähr haben?
Solution:
newqtyd.m newqtyEoMeV newqtyE.J % Geg textProtonenpf m ncmp d d E Eo E % GesMagnetfeldBsiT % Wenn die Protonen auf eine kinetische Energie von Eo beschleunigt werden so ist ihre Geschwindigkeit solqtyvsqrtfracEmsqrt*En/ncmpn v vf sqrtfrac Encmp v. Die Flussdichte des Magnetfeldes ist somit solqtyBfracsqrtmEed*ncmpn*vn/ncen*dnT B fracmver fracmvefracd Bf frac ncmp vnce d B % B Bf BTT
In einem Zyklotron können Protonen Formelbuch.kg auf einem Kreis von .m Durchmesser bis zu einer Energie von MeV beschleunigt werden. Welche magnetische Flussdichte müssen seine Magnete ungefähr haben?
Solution:
newqtyd.m newqtyEoMeV newqtyE.J % Geg textProtonenpf m ncmp d d E Eo E % GesMagnetfeldBsiT % Wenn die Protonen auf eine kinetische Energie von Eo beschleunigt werden so ist ihre Geschwindigkeit solqtyvsqrtfracEmsqrt*En/ncmpn v vf sqrtfrac Encmp v. Die Flussdichte des Magnetfeldes ist somit solqtyBfracsqrtmEed*ncmpn*vn/ncen*dnT B fracmver fracmvefracd Bf frac ncmp vnce d B % B Bf BTT
Contained in these collections:
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VM 2023: Probethese 3 by pw
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Geladene Teilchen mit kinetischer Energie auf Kreisbahn by TeXercises
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Lorentzkraft by pw