Charging Voltage
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:
A capacitor is charged through a RO resistor on a VO voltage supply. The charging voltage vs. time is displayed in the figure below. center includegraphicswidth.cm#image_path:charging-voltage#center abcliste abc Determine the half-time from the diagram. Calculate the capacitance of the capacitor. abc How can you graphically determine the time constant using the diagram? abcliste
Solution:
abcliste abc The half-life can be found by reading the time where the voltage has reached Delta V_/VhP: T_/ &approx TP- center includegraphicswidth.cm#image_path:charging-voltaghalf-life# center The capacitance can then be calculated as follows: C fractauR CF fracTRtimesln C approx resultCP- abc The slope of the tangent to the charging voltage is given by dvVtt dvDelta V_-e^-t/taut Delta V_ e^-t/taufractau Delta V_frace^-t/tautau The initial slope t can be expressed as see triangle defined by the blue and green lines in the figure below fracDelta VDelta t fracDelta V_Delta t leftdvVttright_t fracDelta V_tau Solving for the time constant leads to tau fracDelta V_ Delta tDelta V_ Delta t The value for the time constant can be read from the diagram: tau taO This corresponds to the value calculated from the half-life: tau fracT_/ln fracTln taO center includegraphicswidth.cm#image_path:charging-voltagtimconstant# center abcliste
A capacitor is charged through a RO resistor on a VO voltage supply. The charging voltage vs. time is displayed in the figure below. center includegraphicswidth.cm#image_path:charging-voltage#center abcliste abc Determine the half-time from the diagram. Calculate the capacitance of the capacitor. abc How can you graphically determine the time constant using the diagram? abcliste
Solution:
abcliste abc The half-life can be found by reading the time where the voltage has reached Delta V_/VhP: T_/ &approx TP- center includegraphicswidth.cm#image_path:charging-voltaghalf-life# center The capacitance can then be calculated as follows: C fractauR CF fracTRtimesln C approx resultCP- abc The slope of the tangent to the charging voltage is given by dvVtt dvDelta V_-e^-t/taut Delta V_ e^-t/taufractau Delta V_frace^-t/tautau The initial slope t can be expressed as see triangle defined by the blue and green lines in the figure below fracDelta VDelta t fracDelta V_Delta t leftdvVttright_t fracDelta V_tau Solving for the time constant leads to tau fracDelta V_ Delta tDelta V_ Delta t The value for the time constant can be read from the diagram: tau taO This corresponds to the value calculated from the half-life: tau fracT_/ln fracTln taO center includegraphicswidth.cm#image_path:charging-voltagtimconstant# center abcliste
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Exercise:
A capacitor is charged through a RO resistor on a VO voltage supply. The charging voltage vs. time is displayed in the figure below. center includegraphicswidth.cm#image_path:charging-voltage#center abcliste abc Determine the half-time from the diagram. Calculate the capacitance of the capacitor. abc How can you graphically determine the time constant using the diagram? abcliste
Solution:
abcliste abc The half-life can be found by reading the time where the voltage has reached Delta V_/VhP: T_/ &approx TP- center includegraphicswidth.cm#image_path:charging-voltaghalf-life# center The capacitance can then be calculated as follows: C fractauR CF fracTRtimesln C approx resultCP- abc The slope of the tangent to the charging voltage is given by dvVtt dvDelta V_-e^-t/taut Delta V_ e^-t/taufractau Delta V_frace^-t/tautau The initial slope t can be expressed as see triangle defined by the blue and green lines in the figure below fracDelta VDelta t fracDelta V_Delta t leftdvVttright_t fracDelta V_tau Solving for the time constant leads to tau fracDelta V_ Delta tDelta V_ Delta t The value for the time constant can be read from the diagram: tau taO This corresponds to the value calculated from the half-life: tau fracT_/ln fracTln taO center includegraphicswidth.cm#image_path:charging-voltagtimconstant# center abcliste
A capacitor is charged through a RO resistor on a VO voltage supply. The charging voltage vs. time is displayed in the figure below. center includegraphicswidth.cm#image_path:charging-voltage#center abcliste abc Determine the half-time from the diagram. Calculate the capacitance of the capacitor. abc How can you graphically determine the time constant using the diagram? abcliste
Solution:
abcliste abc The half-life can be found by reading the time where the voltage has reached Delta V_/VhP: T_/ &approx TP- center includegraphicswidth.cm#image_path:charging-voltaghalf-life# center The capacitance can then be calculated as follows: C fractauR CF fracTRtimesln C approx resultCP- abc The slope of the tangent to the charging voltage is given by dvVtt dvDelta V_-e^-t/taut Delta V_ e^-t/taufractau Delta V_frace^-t/tautau The initial slope t can be expressed as see triangle defined by the blue and green lines in the figure below fracDelta VDelta t fracDelta V_Delta t leftdvVttright_t fracDelta V_tau Solving for the time constant leads to tau fracDelta V_ Delta tDelta V_ Delta t The value for the time constant can be read from the diagram: tau taO This corresponds to the value calculated from the half-life: tau fracT_/ln fracTln taO center includegraphicswidth.cm#image_path:charging-voltagtimconstant# center abcliste
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