Range Extension
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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Video
\(\LaTeX\)
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Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
A meter has a system resistance R_RMO and maximum deflection for I_IMO through the measuring unit. How can the meter be used to measure a currents up to ImaxO; b voltages up to VmaxO?
Solution:
abcliste abc The currents through the system resistor and the shunt resistor are in the inverse ratio of the corresponding resistance values current divider: fracI_I_P fracR_PR_ With I_P sscImax - I_ we find for the shunt resistance R_P R_ fracI_I_P RPF RM times fracIMImax-IM RP approx resultRPP abc The voltages across the system resistor and the series resistor are in the same ratio as the corresponding resistance values voltage divider: fracDelta V_SDelta V_ fracR_SR_ With Delta V_SsscDelta Vmax - Delta V_ and Delta V_ R_ I_ we find for the series resistance R_S R_ fracDelta _SDelta V_ RSF RM times fracVmax - RM times IMRM times IM RS approx resultRSP abcliste
A meter has a system resistance R_RMO and maximum deflection for I_IMO through the measuring unit. How can the meter be used to measure a currents up to ImaxO; b voltages up to VmaxO?
Solution:
abcliste abc The currents through the system resistor and the shunt resistor are in the inverse ratio of the corresponding resistance values current divider: fracI_I_P fracR_PR_ With I_P sscImax - I_ we find for the shunt resistance R_P R_ fracI_I_P RPF RM times fracIMImax-IM RP approx resultRPP abc The voltages across the system resistor and the series resistor are in the same ratio as the corresponding resistance values voltage divider: fracDelta V_SDelta V_ fracR_SR_ With Delta V_SsscDelta Vmax - Delta V_ and Delta V_ R_ I_ we find for the series resistance R_S R_ fracDelta _SDelta V_ RSF RM times fracVmax - RM times IMRM times IM RS approx resultRSP abcliste
Meta Information
Exercise:
A meter has a system resistance R_RMO and maximum deflection for I_IMO through the measuring unit. How can the meter be used to measure a currents up to ImaxO; b voltages up to VmaxO?
Solution:
abcliste abc The currents through the system resistor and the shunt resistor are in the inverse ratio of the corresponding resistance values current divider: fracI_I_P fracR_PR_ With I_P sscImax - I_ we find for the shunt resistance R_P R_ fracI_I_P RPF RM times fracIMImax-IM RP approx resultRPP abc The voltages across the system resistor and the series resistor are in the same ratio as the corresponding resistance values voltage divider: fracDelta V_SDelta V_ fracR_SR_ With Delta V_SsscDelta Vmax - Delta V_ and Delta V_ R_ I_ we find for the series resistance R_S R_ fracDelta _SDelta V_ RSF RM times fracVmax - RM times IMRM times IM RS approx resultRSP abcliste
A meter has a system resistance R_RMO and maximum deflection for I_IMO through the measuring unit. How can the meter be used to measure a currents up to ImaxO; b voltages up to VmaxO?
Solution:
abcliste abc The currents through the system resistor and the shunt resistor are in the inverse ratio of the corresponding resistance values current divider: fracI_I_P fracR_PR_ With I_P sscImax - I_ we find for the shunt resistance R_P R_ fracI_I_P RPF RM times fracIMImax-IM RP approx resultRPP abc The voltages across the system resistor and the series resistor are in the same ratio as the corresponding resistance values voltage divider: fracDelta V_SDelta V_ fracR_SR_ With Delta V_SsscDelta Vmax - Delta V_ and Delta V_ R_ I_ we find for the series resistance R_S R_ fracDelta _SDelta V_ RSF RM times fracVmax - RM times IMRM times IM RS approx resultRSP abcliste
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