Solar wind particles captured in Van Allen belt
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
\(\LaTeX\)
Need help? Yes, please!
The following quantities appear in the problem:
Masse \(m\) / elektrische Ladung \(q, Q\) / Magnetische Flussdichte \(B\) / Kraft \(F\) / Geschwindigkeit \(v\) / Radius \(r\) /
The following formulas must be used to solve the exercise:
\(F = qvB \quad \) \(F = m\dfrac{v^2}{r} \quad \)
Exercise:
An proton coming from the Sun enters the Earth's magnetic field high above the equator where its strength is BaO at a speed of vO. This place is located about km to km above the Earth's surface and is called the Van Allen Belt. The proton then moves in an almost circular path -- apart from a slight northward drift -- along the magnetic field lines. There near the North Pole the strength of the magnetic field is BnO. Calculate the radius of the protons's orbit over both the equator and the North Pole.
Solution:
Geg textProtonpf m ncmp sscBA BaO Ba v v sscBN BnO Bn % GesRadiusrsim % The Lorentz force acting on the protons forces them to go around the magnetic field lines in a circle. Setting this force equal to the force required for anything making a circle we get: sscFL sscFZ qvB mfracv^r r fracmvqB For a proton with charge qe we get in the magnetic field above the equator sscrA fracmvqsscBA fracncmp vnce Ba ra approx raP and at the North Pole sscrN fracmvqsscBN fracncmp vnce Bn rn approx rnP. r fracmvqsscBA sscrA raP sscrN rnP
An proton coming from the Sun enters the Earth's magnetic field high above the equator where its strength is BaO at a speed of vO. This place is located about km to km above the Earth's surface and is called the Van Allen Belt. The proton then moves in an almost circular path -- apart from a slight northward drift -- along the magnetic field lines. There near the North Pole the strength of the magnetic field is BnO. Calculate the radius of the protons's orbit over both the equator and the North Pole.
Solution:
Geg textProtonpf m ncmp sscBA BaO Ba v v sscBN BnO Bn % GesRadiusrsim % The Lorentz force acting on the protons forces them to go around the magnetic field lines in a circle. Setting this force equal to the force required for anything making a circle we get: sscFL sscFZ qvB mfracv^r r fracmvqB For a proton with charge qe we get in the magnetic field above the equator sscrA fracmvqsscBA fracncmp vnce Ba ra approx raP and at the North Pole sscrN fracmvqsscBN fracncmp vnce Bn rn approx rnP. r fracmvqsscBA sscrA raP sscrN rnP
Meta Information
Exercise:
An proton coming from the Sun enters the Earth's magnetic field high above the equator where its strength is BaO at a speed of vO. This place is located about km to km above the Earth's surface and is called the Van Allen Belt. The proton then moves in an almost circular path -- apart from a slight northward drift -- along the magnetic field lines. There near the North Pole the strength of the magnetic field is BnO. Calculate the radius of the protons's orbit over both the equator and the North Pole.
Solution:
Geg textProtonpf m ncmp sscBA BaO Ba v v sscBN BnO Bn % GesRadiusrsim % The Lorentz force acting on the protons forces them to go around the magnetic field lines in a circle. Setting this force equal to the force required for anything making a circle we get: sscFL sscFZ qvB mfracv^r r fracmvqB For a proton with charge qe we get in the magnetic field above the equator sscrA fracmvqsscBA fracncmp vnce Ba ra approx raP and at the North Pole sscrN fracmvqsscBN fracncmp vnce Bn rn approx rnP. r fracmvqsscBA sscrA raP sscrN rnP
An proton coming from the Sun enters the Earth's magnetic field high above the equator where its strength is BaO at a speed of vO. This place is located about km to km above the Earth's surface and is called the Van Allen Belt. The proton then moves in an almost circular path -- apart from a slight northward drift -- along the magnetic field lines. There near the North Pole the strength of the magnetic field is BnO. Calculate the radius of the protons's orbit over both the equator and the North Pole.
Solution:
Geg textProtonpf m ncmp sscBA BaO Ba v v sscBN BnO Bn % GesRadiusrsim % The Lorentz force acting on the protons forces them to go around the magnetic field lines in a circle. Setting this force equal to the force required for anything making a circle we get: sscFL sscFZ qvB mfracv^r r fracmvqB For a proton with charge qe we get in the magnetic field above the equator sscrA fracmvqsscBA fracncmp vnce Ba ra approx raP and at the North Pole sscrN fracmvqsscBN fracncmp vnce Bn rn approx rnP. r fracmvqsscBA sscrA raP sscrN rnP
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Geladene Teilchen auf Kreisbahn by TeXercises
Asked Quantity:
Radius \(r\)
in
Meter \(\rm m\)
Physical Quantity
grösstmöglicher Abstand Mittelpunkt zu Kreislinie/Kugeloberfläche
Unit
Der Meter ist dadurch definiert, dass der Lichtgeschwindigkeit im Vakuum \(c\) ein fester Wert zugewiesen wurde und die Sekunde (\(\rm s\)) ebenfalls über eine Naturkonstante, die Schwingungsfrequenz definiert ist.
Base?
SI?
Metric?
Coherent?
Imperial?