Wires on strings
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
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Exercise:
Two long straight aluminium Formelbuch.grampercubiccentimeter wires each of diameter .mm carry the same current -- but in opposite directions. They are susped by .m long strings. If the suspension strings make an angle of ang. with the vertical what is the current in the wires?
Solution:
NewQtyrA.ekgpcm NewQtyd.m NewQtyL.m NewQtya.degree NewQtymuo.newtonpersquareampere % The vertical component of the string force must compensate the weight of the wire. Thus its horizontal component must compensate the Biot-Savart force acting on the wire. Considering the right wire we can write SolQtyIsqrtfracpi^rho d^ g L sinalphatanalphamu_sqrtpi***rAX*dX***ncgn*LX*sindaX*tandaX/muoXA F_leftarrow &mustbe F_rightarrow sscFBS fracFGcosalpha sinalpha Iell B mg tanalpha Iell fracmu_ Ipi R rho V g tanalpha Iell fracmu_ Ipi L sinalpha rho pi r^ ell g tanalpha fracmu_ I^pi L sinalpha rho pi r^ g tanalpha I sqrt fracpi^ rhomu_ r^ g L sinalpha tanalpha IF sqrtfracpi^ rA qtyd^ ncg L sina tanamuo I IS
Two long straight aluminium Formelbuch.grampercubiccentimeter wires each of diameter .mm carry the same current -- but in opposite directions. They are susped by .m long strings. If the suspension strings make an angle of ang. with the vertical what is the current in the wires?
Solution:
NewQtyrA.ekgpcm NewQtyd.m NewQtyL.m NewQtya.degree NewQtymuo.newtonpersquareampere % The vertical component of the string force must compensate the weight of the wire. Thus its horizontal component must compensate the Biot-Savart force acting on the wire. Considering the right wire we can write SolQtyIsqrtfracpi^rho d^ g L sinalphatanalphamu_sqrtpi***rAX*dX***ncgn*LX*sindaX*tandaX/muoXA F_leftarrow &mustbe F_rightarrow sscFBS fracFGcosalpha sinalpha Iell B mg tanalpha Iell fracmu_ Ipi R rho V g tanalpha Iell fracmu_ Ipi L sinalpha rho pi r^ ell g tanalpha fracmu_ I^pi L sinalpha rho pi r^ g tanalpha I sqrt fracpi^ rhomu_ r^ g L sinalpha tanalpha IF sqrtfracpi^ rA qtyd^ ncg L sina tanamuo I IS
Meta Information
Exercise:
Two long straight aluminium Formelbuch.grampercubiccentimeter wires each of diameter .mm carry the same current -- but in opposite directions. They are susped by .m long strings. If the suspension strings make an angle of ang. with the vertical what is the current in the wires?
Solution:
NewQtyrA.ekgpcm NewQtyd.m NewQtyL.m NewQtya.degree NewQtymuo.newtonpersquareampere % The vertical component of the string force must compensate the weight of the wire. Thus its horizontal component must compensate the Biot-Savart force acting on the wire. Considering the right wire we can write SolQtyIsqrtfracpi^rho d^ g L sinalphatanalphamu_sqrtpi***rAX*dX***ncgn*LX*sindaX*tandaX/muoXA F_leftarrow &mustbe F_rightarrow sscFBS fracFGcosalpha sinalpha Iell B mg tanalpha Iell fracmu_ Ipi R rho V g tanalpha Iell fracmu_ Ipi L sinalpha rho pi r^ ell g tanalpha fracmu_ I^pi L sinalpha rho pi r^ g tanalpha I sqrt fracpi^ rhomu_ r^ g L sinalpha tanalpha IF sqrtfracpi^ rA qtyd^ ncg L sina tanamuo I IS
Two long straight aluminium Formelbuch.grampercubiccentimeter wires each of diameter .mm carry the same current -- but in opposite directions. They are susped by .m long strings. If the suspension strings make an angle of ang. with the vertical what is the current in the wires?
Solution:
NewQtyrA.ekgpcm NewQtyd.m NewQtyL.m NewQtya.degree NewQtymuo.newtonpersquareampere % The vertical component of the string force must compensate the weight of the wire. Thus its horizontal component must compensate the Biot-Savart force acting on the wire. Considering the right wire we can write SolQtyIsqrtfracpi^rho d^ g L sinalphatanalphamu_sqrtpi***rAX*dX***ncgn*LX*sindaX*tandaX/muoXA F_leftarrow &mustbe F_rightarrow sscFBS fracFGcosalpha sinalpha Iell B mg tanalpha Iell fracmu_ Ipi R rho V g tanalpha Iell fracmu_ Ipi L sinalpha rho pi r^ ell g tanalpha fracmu_ I^pi L sinalpha rho pi r^ g tanalpha I sqrt fracpi^ rhomu_ r^ g L sinalpha tanalpha IF sqrtfracpi^ rA qtyd^ ncg L sina tanamuo I IS
Contained in these collections
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Biot-Savart-Kraft by pw
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Lorentzkraft auf Leiter by uz
| Title | Matched on |
|---|---|
| Definition des Ampere bis 2019 | formula |
| Horizontal wire -- magnetic field | tags |