Static Voltmeter
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
\(\LaTeX\)
No explanation / solution video to this exercise has yet been created.
Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
An em electrostatic voltmeter is an electroscope that is used to measure a voltage. This is possible since an electroscope consists of two metal parts insulated against each other in other words a capacitor. Therefore the charge measured with an electroscope is proportional to the voltage across the electroscope. Two voltmeters with capacitance CaO and CbO are used to measure the voltage across a capacitor. The first one measures VaO and the second one VbO. Explain this phenomenon and calculate the capacitance of the capacitor and the correct voltage.
Solution:
When an electrostatic voltmeter is connected to the capacitor the resulting circuit corresponds to two capacitors em in parallel. The charge on the capacitor is distributed between voltmeter capacitance C_ and the capacitor capacitance C such that the voltage Delta V_ across both of them is the same but smaller than the original voltage Delta V_. The same happens with voltmeter capacitance C_ and voltage Delta V_. The charge can thus be expressed as Q C Delta V_ C+C_ Delta V_ C+C_ Delta V_ This can be solved for C: C+C_Delta V_ C+C_ Delta V_ CDelta V_-Delta V_ C_Delta V_-C_ Delta V_ C CF fracCbtimesVb-Catimes VaVa-Vb C approx resultCP- For the voltage across the capacitor alone without a voltmeter we find Delta V_ fracQC fracC+C_Delta V_C fracCF+C_Delta V_CF fracC_Delta V_-C_Delta V_+C_Delta V_-C_Delta V_Delta V_C_Delta V_-C_Delta V_ VF fracCb-CatimesVatimesVbCbtimes Vb-CatimesVa V approx resultVP
An em electrostatic voltmeter is an electroscope that is used to measure a voltage. This is possible since an electroscope consists of two metal parts insulated against each other in other words a capacitor. Therefore the charge measured with an electroscope is proportional to the voltage across the electroscope. Two voltmeters with capacitance CaO and CbO are used to measure the voltage across a capacitor. The first one measures VaO and the second one VbO. Explain this phenomenon and calculate the capacitance of the capacitor and the correct voltage.
Solution:
When an electrostatic voltmeter is connected to the capacitor the resulting circuit corresponds to two capacitors em in parallel. The charge on the capacitor is distributed between voltmeter capacitance C_ and the capacitor capacitance C such that the voltage Delta V_ across both of them is the same but smaller than the original voltage Delta V_. The same happens with voltmeter capacitance C_ and voltage Delta V_. The charge can thus be expressed as Q C Delta V_ C+C_ Delta V_ C+C_ Delta V_ This can be solved for C: C+C_Delta V_ C+C_ Delta V_ CDelta V_-Delta V_ C_Delta V_-C_ Delta V_ C CF fracCbtimesVb-Catimes VaVa-Vb C approx resultCP- For the voltage across the capacitor alone without a voltmeter we find Delta V_ fracQC fracC+C_Delta V_C fracCF+C_Delta V_CF fracC_Delta V_-C_Delta V_+C_Delta V_-C_Delta V_Delta V_C_Delta V_-C_Delta V_ VF fracCb-CatimesVatimesVbCbtimes Vb-CatimesVa V approx resultVP
Meta Information
Exercise:
An em electrostatic voltmeter is an electroscope that is used to measure a voltage. This is possible since an electroscope consists of two metal parts insulated against each other in other words a capacitor. Therefore the charge measured with an electroscope is proportional to the voltage across the electroscope. Two voltmeters with capacitance CaO and CbO are used to measure the voltage across a capacitor. The first one measures VaO and the second one VbO. Explain this phenomenon and calculate the capacitance of the capacitor and the correct voltage.
Solution:
When an electrostatic voltmeter is connected to the capacitor the resulting circuit corresponds to two capacitors em in parallel. The charge on the capacitor is distributed between voltmeter capacitance C_ and the capacitor capacitance C such that the voltage Delta V_ across both of them is the same but smaller than the original voltage Delta V_. The same happens with voltmeter capacitance C_ and voltage Delta V_. The charge can thus be expressed as Q C Delta V_ C+C_ Delta V_ C+C_ Delta V_ This can be solved for C: C+C_Delta V_ C+C_ Delta V_ CDelta V_-Delta V_ C_Delta V_-C_ Delta V_ C CF fracCbtimesVb-Catimes VaVa-Vb C approx resultCP- For the voltage across the capacitor alone without a voltmeter we find Delta V_ fracQC fracC+C_Delta V_C fracCF+C_Delta V_CF fracC_Delta V_-C_Delta V_+C_Delta V_-C_Delta V_Delta V_C_Delta V_-C_Delta V_ VF fracCb-CatimesVatimesVbCbtimes Vb-CatimesVa V approx resultVP
An em electrostatic voltmeter is an electroscope that is used to measure a voltage. This is possible since an electroscope consists of two metal parts insulated against each other in other words a capacitor. Therefore the charge measured with an electroscope is proportional to the voltage across the electroscope. Two voltmeters with capacitance CaO and CbO are used to measure the voltage across a capacitor. The first one measures VaO and the second one VbO. Explain this phenomenon and calculate the capacitance of the capacitor and the correct voltage.
Solution:
When an electrostatic voltmeter is connected to the capacitor the resulting circuit corresponds to two capacitors em in parallel. The charge on the capacitor is distributed between voltmeter capacitance C_ and the capacitor capacitance C such that the voltage Delta V_ across both of them is the same but smaller than the original voltage Delta V_. The same happens with voltmeter capacitance C_ and voltage Delta V_. The charge can thus be expressed as Q C Delta V_ C+C_ Delta V_ C+C_ Delta V_ This can be solved for C: C+C_Delta V_ C+C_ Delta V_ CDelta V_-Delta V_ C_Delta V_-C_ Delta V_ C CF fracCbtimesVb-Catimes VaVa-Vb C approx resultCP- For the voltage across the capacitor alone without a voltmeter we find Delta V_ fracQC fracC+C_Delta V_C fracCF+C_Delta V_CF fracC_Delta V_-C_Delta V_+C_Delta V_-C_Delta V_Delta V_C_Delta V_-C_Delta V_ VF fracCb-CatimesVatimesVbCbtimes Vb-CatimesVa V approx resultVP
Contained in these collections:
-
Capacitors (Advanced) by by

