Magnetic Swing
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:
A horizontal wire is hung from the ceiling of a room by two light strings. The wire as a length of LO and a mass of mO. A uniform magnetic field of magnitude BO is directed from the ceiling to the floor. When a current of IO flows through the wire the wire swings upward. In its equilibrium position it makes an angle phi with respect to the vertical. abcliste abc Calculate the angle phi. abc Calculate the tension in the string. abcliste
Solution:
abcliste abc There are three forces acting on the wire: the gravitational force F_G vertical the magnetic force F_B horizontal and the tension force F_T acting along the wire. The force equilibrium can be separated o the vertical and horizontal direction. For the vertical direction the equilibrium is given by F_G F_Tcosphi Solving this for the tension leads to F_T fracF_Gcosphi labeltension For the horizontal direction the equilibrium is given by F_B F_T sinphi Using reftension we find F_B fracF_Gcosphi sinphi F_G tanphi It follows for the angle phi phi arctanfracF_BF_G phiradF arctanfracItimes Ltimes Bmtimes ncg phirad approx resultphidegP abc The tension is given by reftension: F_T fracF_Gcosphi FTF fracmtimes ncgcosphideg FT approx resultFTP abcliste
A horizontal wire is hung from the ceiling of a room by two light strings. The wire as a length of LO and a mass of mO. A uniform magnetic field of magnitude BO is directed from the ceiling to the floor. When a current of IO flows through the wire the wire swings upward. In its equilibrium position it makes an angle phi with respect to the vertical. abcliste abc Calculate the angle phi. abc Calculate the tension in the string. abcliste
Solution:
abcliste abc There are three forces acting on the wire: the gravitational force F_G vertical the magnetic force F_B horizontal and the tension force F_T acting along the wire. The force equilibrium can be separated o the vertical and horizontal direction. For the vertical direction the equilibrium is given by F_G F_Tcosphi Solving this for the tension leads to F_T fracF_Gcosphi labeltension For the horizontal direction the equilibrium is given by F_B F_T sinphi Using reftension we find F_B fracF_Gcosphi sinphi F_G tanphi It follows for the angle phi phi arctanfracF_BF_G phiradF arctanfracItimes Ltimes Bmtimes ncg phirad approx resultphidegP abc The tension is given by reftension: F_T fracF_Gcosphi FTF fracmtimes ncgcosphideg FT approx resultFTP abcliste
Meta Information
Exercise:
A horizontal wire is hung from the ceiling of a room by two light strings. The wire as a length of LO and a mass of mO. A uniform magnetic field of magnitude BO is directed from the ceiling to the floor. When a current of IO flows through the wire the wire swings upward. In its equilibrium position it makes an angle phi with respect to the vertical. abcliste abc Calculate the angle phi. abc Calculate the tension in the string. abcliste
Solution:
abcliste abc There are three forces acting on the wire: the gravitational force F_G vertical the magnetic force F_B horizontal and the tension force F_T acting along the wire. The force equilibrium can be separated o the vertical and horizontal direction. For the vertical direction the equilibrium is given by F_G F_Tcosphi Solving this for the tension leads to F_T fracF_Gcosphi labeltension For the horizontal direction the equilibrium is given by F_B F_T sinphi Using reftension we find F_B fracF_Gcosphi sinphi F_G tanphi It follows for the angle phi phi arctanfracF_BF_G phiradF arctanfracItimes Ltimes Bmtimes ncg phirad approx resultphidegP abc The tension is given by reftension: F_T fracF_Gcosphi FTF fracmtimes ncgcosphideg FT approx resultFTP abcliste
A horizontal wire is hung from the ceiling of a room by two light strings. The wire as a length of LO and a mass of mO. A uniform magnetic field of magnitude BO is directed from the ceiling to the floor. When a current of IO flows through the wire the wire swings upward. In its equilibrium position it makes an angle phi with respect to the vertical. abcliste abc Calculate the angle phi. abc Calculate the tension in the string. abcliste
Solution:
abcliste abc There are three forces acting on the wire: the gravitational force F_G vertical the magnetic force F_B horizontal and the tension force F_T acting along the wire. The force equilibrium can be separated o the vertical and horizontal direction. For the vertical direction the equilibrium is given by F_G F_Tcosphi Solving this for the tension leads to F_T fracF_Gcosphi labeltension For the horizontal direction the equilibrium is given by F_B F_T sinphi Using reftension we find F_B fracF_Gcosphi sinphi F_G tanphi It follows for the angle phi phi arctanfracF_BF_G phiradF arctanfracItimes Ltimes Bmtimes ncg phirad approx resultphidegP abc The tension is given by reftension: F_T fracF_Gcosphi FTF fracmtimes ncgcosphideg FT approx resultFTP abcliste
Contained in these collections:
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Magnetic Forces by by
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Magnetic Force (BC) by by