Lenz's Law
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
\(\LaTeX\)
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Exercise:
abcliste abc The drawing shows a straight wire carrying a current I. Above the wire is a rectangular loop that contains a resistor R. If the current I is increasing in time what is the direction of the induced current through the resistor R? center includegraphicswidthmm#image_path:lenzs-law-circuit-a# center abc A rectangular loop contains a capacitor as in the figure below. The magnetic field through the loop is decreasing over time. Indicate the direction of the electric field between the plates of the capacitor. center includegraphicswidthmm#image_path:lenzs-law-circuit-b# center abcliste
Solution:
abcliste abc The magnetic field from the current I pos out of the drawing plan on the inside of the loop. According to Lenz's law the current induced in the loop has a direction that opposes the change of the magnetic flux so the magnetic field caused by the induced current in the loop should po in the opposite direction as that of the current I. This is the case if the current flows through the resistor from left to right. abc The induced current creates a magnetic field that tries to oppose the flux change caused by the decreasing magnetic field. This means that the current induced in the loop flows clockwise which leads to a positive charge on the top plate and a negative charge on the bottom plate of the capacitor. As a consequence the electric field in the capacitor pos downwards. abcliste
abcliste abc The drawing shows a straight wire carrying a current I. Above the wire is a rectangular loop that contains a resistor R. If the current I is increasing in time what is the direction of the induced current through the resistor R? center includegraphicswidthmm#image_path:lenzs-law-circuit-a# center abc A rectangular loop contains a capacitor as in the figure below. The magnetic field through the loop is decreasing over time. Indicate the direction of the electric field between the plates of the capacitor. center includegraphicswidthmm#image_path:lenzs-law-circuit-b# center abcliste
Solution:
abcliste abc The magnetic field from the current I pos out of the drawing plan on the inside of the loop. According to Lenz's law the current induced in the loop has a direction that opposes the change of the magnetic flux so the magnetic field caused by the induced current in the loop should po in the opposite direction as that of the current I. This is the case if the current flows through the resistor from left to right. abc The induced current creates a magnetic field that tries to oppose the flux change caused by the decreasing magnetic field. This means that the current induced in the loop flows clockwise which leads to a positive charge on the top plate and a negative charge on the bottom plate of the capacitor. As a consequence the electric field in the capacitor pos downwards. abcliste
Meta Information
Exercise:
abcliste abc The drawing shows a straight wire carrying a current I. Above the wire is a rectangular loop that contains a resistor R. If the current I is increasing in time what is the direction of the induced current through the resistor R? center includegraphicswidthmm#image_path:lenzs-law-circuit-a# center abc A rectangular loop contains a capacitor as in the figure below. The magnetic field through the loop is decreasing over time. Indicate the direction of the electric field between the plates of the capacitor. center includegraphicswidthmm#image_path:lenzs-law-circuit-b# center abcliste
Solution:
abcliste abc The magnetic field from the current I pos out of the drawing plan on the inside of the loop. According to Lenz's law the current induced in the loop has a direction that opposes the change of the magnetic flux so the magnetic field caused by the induced current in the loop should po in the opposite direction as that of the current I. This is the case if the current flows through the resistor from left to right. abc The induced current creates a magnetic field that tries to oppose the flux change caused by the decreasing magnetic field. This means that the current induced in the loop flows clockwise which leads to a positive charge on the top plate and a negative charge on the bottom plate of the capacitor. As a consequence the electric field in the capacitor pos downwards. abcliste
abcliste abc The drawing shows a straight wire carrying a current I. Above the wire is a rectangular loop that contains a resistor R. If the current I is increasing in time what is the direction of the induced current through the resistor R? center includegraphicswidthmm#image_path:lenzs-law-circuit-a# center abc A rectangular loop contains a capacitor as in the figure below. The magnetic field through the loop is decreasing over time. Indicate the direction of the electric field between the plates of the capacitor. center includegraphicswidthmm#image_path:lenzs-law-circuit-b# center abcliste
Solution:
abcliste abc The magnetic field from the current I pos out of the drawing plan on the inside of the loop. According to Lenz's law the current induced in the loop has a direction that opposes the change of the magnetic flux so the magnetic field caused by the induced current in the loop should po in the opposite direction as that of the current I. This is the case if the current flows through the resistor from left to right. abc The induced current creates a magnetic field that tries to oppose the flux change caused by the decreasing magnetic field. This means that the current induced in the loop flows clockwise which leads to a positive charge on the top plate and a negative charge on the bottom plate of the capacitor. As a consequence the electric field in the capacitor pos downwards. abcliste
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