Power of Light Bulbs
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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\(\LaTeX\)
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Exercise:
In the circuit below we know that I_IaO I_IcO Delta V_VaO and Delta V_VcO. Calculate the power dissipated in each light bulb and the total power delivered by the battery. center circuitikzline width. voltage shift draw to battery invert vDelta V_ to short -* iI_ to lamp i_I_ v^Delta V_ to short -* to ; draw -- to lamp i_I_ v^Delta V_ to lamp i_I_ v^Delta V_ -- ; circuitikz center
Solution:
The voltage from top to bottom is always Delta V_. This means that Delta V_ VbF VbP Delta V_ VdF VaO-VcO VdP The current I_ follows from the upper junction where I_I_+I_: I_ IbF IaO-IcO IbP The current I_ is equal to I_: I_ IdF IdP The powers dissipated in the light bulbs are therefore: P_ PbF VbPtimesIbP resultPbP P_ PcF VctimesIc resultPcP P_ PdF VdPtimesIdP resultPdP The total voltage delivered by the battery is P_ PaF VatimesIa resultPaP which is equal to the of the powers dissipated in the light bulbs.
In the circuit below we know that I_IaO I_IcO Delta V_VaO and Delta V_VcO. Calculate the power dissipated in each light bulb and the total power delivered by the battery. center circuitikzline width. voltage shift draw to battery invert vDelta V_ to short -* iI_ to lamp i_I_ v^Delta V_ to short -* to ; draw -- to lamp i_I_ v^Delta V_ to lamp i_I_ v^Delta V_ -- ; circuitikz center
Solution:
The voltage from top to bottom is always Delta V_. This means that Delta V_ VbF VbP Delta V_ VdF VaO-VcO VdP The current I_ follows from the upper junction where I_I_+I_: I_ IbF IaO-IcO IbP The current I_ is equal to I_: I_ IdF IdP The powers dissipated in the light bulbs are therefore: P_ PbF VbPtimesIbP resultPbP P_ PcF VctimesIc resultPcP P_ PdF VdPtimesIdP resultPdP The total voltage delivered by the battery is P_ PaF VatimesIa resultPaP which is equal to the of the powers dissipated in the light bulbs.
Meta Information
Exercise:
In the circuit below we know that I_IaO I_IcO Delta V_VaO and Delta V_VcO. Calculate the power dissipated in each light bulb and the total power delivered by the battery. center circuitikzline width. voltage shift draw to battery invert vDelta V_ to short -* iI_ to lamp i_I_ v^Delta V_ to short -* to ; draw -- to lamp i_I_ v^Delta V_ to lamp i_I_ v^Delta V_ -- ; circuitikz center
Solution:
The voltage from top to bottom is always Delta V_. This means that Delta V_ VbF VbP Delta V_ VdF VaO-VcO VdP The current I_ follows from the upper junction where I_I_+I_: I_ IbF IaO-IcO IbP The current I_ is equal to I_: I_ IdF IdP The powers dissipated in the light bulbs are therefore: P_ PbF VbPtimesIbP resultPbP P_ PcF VctimesIc resultPcP P_ PdF VdPtimesIdP resultPdP The total voltage delivered by the battery is P_ PaF VatimesIa resultPaP which is equal to the of the powers dissipated in the light bulbs.
In the circuit below we know that I_IaO I_IcO Delta V_VaO and Delta V_VcO. Calculate the power dissipated in each light bulb and the total power delivered by the battery. center circuitikzline width. voltage shift draw to battery invert vDelta V_ to short -* iI_ to lamp i_I_ v^Delta V_ to short -* to ; draw -- to lamp i_I_ v^Delta V_ to lamp i_I_ v^Delta V_ -- ; circuitikz center
Solution:
The voltage from top to bottom is always Delta V_. This means that Delta V_ VbF VbP Delta V_ VdF VaO-VcO VdP The current I_ follows from the upper junction where I_I_+I_: I_ IbF IaO-IcO IbP The current I_ is equal to I_: I_ IdF IdP The powers dissipated in the light bulbs are therefore: P_ PbF VbPtimesIbP resultPbP P_ PcF VctimesIc resultPcP P_ PdF VdPtimesIdP resultPdP The total voltage delivered by the battery is P_ PaF VatimesIa resultPaP which is equal to the of the powers dissipated in the light bulbs.
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