Junctions
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:
In the circuit below we know that I_IaO and I_IcO. Determine the missing currents in the circuit below. center circuitikzline width. draw to battery invert to lamp i^I_Ia to short -* to lamp i_I_ to short -* to lamp i_I_ ; draw -- to lamp i_I_Ic -- ; circuitikz center
Solution:
The total current flowing o a junction has to be equal to the total amount flowing out of the junction. For the upper junction we have I_ I_+I_ The current I_ is therefore I_ IbF Ia-Ic resultIbP The current before and after a light bulb is the same so we have for the lower junction I_ IdF IbP+Ic resultIdP This is obviously the same as I_ so the current leaving the battery is indeed the same as the current returning to the battery.
In the circuit below we know that I_IaO and I_IcO. Determine the missing currents in the circuit below. center circuitikzline width. draw to battery invert to lamp i^I_Ia to short -* to lamp i_I_ to short -* to lamp i_I_ ; draw -- to lamp i_I_Ic -- ; circuitikz center
Solution:
The total current flowing o a junction has to be equal to the total amount flowing out of the junction. For the upper junction we have I_ I_+I_ The current I_ is therefore I_ IbF Ia-Ic resultIbP The current before and after a light bulb is the same so we have for the lower junction I_ IdF IbP+Ic resultIdP This is obviously the same as I_ so the current leaving the battery is indeed the same as the current returning to the battery.
Meta Information
Exercise:
In the circuit below we know that I_IaO and I_IcO. Determine the missing currents in the circuit below. center circuitikzline width. draw to battery invert to lamp i^I_Ia to short -* to lamp i_I_ to short -* to lamp i_I_ ; draw -- to lamp i_I_Ic -- ; circuitikz center
Solution:
The total current flowing o a junction has to be equal to the total amount flowing out of the junction. For the upper junction we have I_ I_+I_ The current I_ is therefore I_ IbF Ia-Ic resultIbP The current before and after a light bulb is the same so we have for the lower junction I_ IdF IbP+Ic resultIdP This is obviously the same as I_ so the current leaving the battery is indeed the same as the current returning to the battery.
In the circuit below we know that I_IaO and I_IcO. Determine the missing currents in the circuit below. center circuitikzline width. draw to battery invert to lamp i^I_Ia to short -* to lamp i_I_ to short -* to lamp i_I_ ; draw -- to lamp i_I_Ic -- ; circuitikz center
Solution:
The total current flowing o a junction has to be equal to the total amount flowing out of the junction. For the upper junction we have I_ I_+I_ The current I_ is therefore I_ IbF Ia-Ic resultIbP The current before and after a light bulb is the same so we have for the lower junction I_ IdF IbP+Ic resultIdP This is obviously the same as I_ so the current leaving the battery is indeed the same as the current returning to the battery.
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