Faraday's Law with Graphs
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:
The four voltage vs. time graphs to correspond to the four flux vs. time graphs A to D according to Faraday's law. Find the matching pairs and justify your solution. center includegraphicswidthtextwidth#image_path:faraday-law-diagrams-# center
Solution:
The induced emf corresponds to the negative derivative of the magnetic flux Faraday's law. We have to compare the variation of the slope in the flux diagrams to the values in the voltage diagrams. abcliste abc In graph A there are two time ervals with constant flux i.e. no induced emf. This corresponds to graph although there should be a sharp spike at the moment of the jump in the flux graph after two time units. abc The slope in graph B starts with a large negative value and continuously ts towards zero. This corresponds to the behaviour in graph . abc The flux in C reaches a minimum after two time units. This corresponds to a zero in the voltage graph. Before the slope is negative i.e. the voltage is positive after it is positive i.e. the voltage is negative. After three time units the flux increases linearly which corresponds to a constant voltage. This corresponds to graph . The fact that the voltage decreases linearly during the first three time units tells us that the flux is a quadratic function of time during this time erval. abc The flux in D has a constant negative slope during the first three time units. This corresponds to a constant positive voltage. After that the flux is constant which corresponds to zero voltage. This behaviour is given in graph . abcliste
The four voltage vs. time graphs to correspond to the four flux vs. time graphs A to D according to Faraday's law. Find the matching pairs and justify your solution. center includegraphicswidthtextwidth#image_path:faraday-law-diagrams-# center
Solution:
The induced emf corresponds to the negative derivative of the magnetic flux Faraday's law. We have to compare the variation of the slope in the flux diagrams to the values in the voltage diagrams. abcliste abc In graph A there are two time ervals with constant flux i.e. no induced emf. This corresponds to graph although there should be a sharp spike at the moment of the jump in the flux graph after two time units. abc The slope in graph B starts with a large negative value and continuously ts towards zero. This corresponds to the behaviour in graph . abc The flux in C reaches a minimum after two time units. This corresponds to a zero in the voltage graph. Before the slope is negative i.e. the voltage is positive after it is positive i.e. the voltage is negative. After three time units the flux increases linearly which corresponds to a constant voltage. This corresponds to graph . The fact that the voltage decreases linearly during the first three time units tells us that the flux is a quadratic function of time during this time erval. abc The flux in D has a constant negative slope during the first three time units. This corresponds to a constant positive voltage. After that the flux is constant which corresponds to zero voltage. This behaviour is given in graph . abcliste
Meta Information
Exercise:
The four voltage vs. time graphs to correspond to the four flux vs. time graphs A to D according to Faraday's law. Find the matching pairs and justify your solution. center includegraphicswidthtextwidth#image_path:faraday-law-diagrams-# center
Solution:
The induced emf corresponds to the negative derivative of the magnetic flux Faraday's law. We have to compare the variation of the slope in the flux diagrams to the values in the voltage diagrams. abcliste abc In graph A there are two time ervals with constant flux i.e. no induced emf. This corresponds to graph although there should be a sharp spike at the moment of the jump in the flux graph after two time units. abc The slope in graph B starts with a large negative value and continuously ts towards zero. This corresponds to the behaviour in graph . abc The flux in C reaches a minimum after two time units. This corresponds to a zero in the voltage graph. Before the slope is negative i.e. the voltage is positive after it is positive i.e. the voltage is negative. After three time units the flux increases linearly which corresponds to a constant voltage. This corresponds to graph . The fact that the voltage decreases linearly during the first three time units tells us that the flux is a quadratic function of time during this time erval. abc The flux in D has a constant negative slope during the first three time units. This corresponds to a constant positive voltage. After that the flux is constant which corresponds to zero voltage. This behaviour is given in graph . abcliste
The four voltage vs. time graphs to correspond to the four flux vs. time graphs A to D according to Faraday's law. Find the matching pairs and justify your solution. center includegraphicswidthtextwidth#image_path:faraday-law-diagrams-# center
Solution:
The induced emf corresponds to the negative derivative of the magnetic flux Faraday's law. We have to compare the variation of the slope in the flux diagrams to the values in the voltage diagrams. abcliste abc In graph A there are two time ervals with constant flux i.e. no induced emf. This corresponds to graph although there should be a sharp spike at the moment of the jump in the flux graph after two time units. abc The slope in graph B starts with a large negative value and continuously ts towards zero. This corresponds to the behaviour in graph . abc The flux in C reaches a minimum after two time units. This corresponds to a zero in the voltage graph. Before the slope is negative i.e. the voltage is positive after it is positive i.e. the voltage is negative. After three time units the flux increases linearly which corresponds to a constant voltage. This corresponds to graph . The fact that the voltage decreases linearly during the first three time units tells us that the flux is a quadratic function of time during this time erval. abc The flux in D has a constant negative slope during the first three time units. This corresponds to a constant positive voltage. After that the flux is constant which corresponds to zero voltage. This behaviour is given in graph . abcliste
Contained in these collections:

