Field Between Point Charges
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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Video
\(\LaTeX\)
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Exercise:
Calculate the magnitude of the electric field halfway between two positive po charges qaO and qbO which are dO apart. Determine the force acting on a test charge qtO at this position. Redo the calculations for the case where one of the field-producing charges is negative.
Solution:
The partial electric fields vecE_ and vecE_ of q_ and q_ po in opposite directions. Therefore the net field E is given by E_+ E_-E_ k_Cfracq_-q_r^ k_Cfracq_-q_d/^ EpF timesnckctimesfracqb-qad^ Ep approxEpP A test charge q placed at this po experiences a force sscFE q E_+ qttimesEp FpapproxFpP- If one of the po charges is negative the partial electric field po in the same direction i.e. the net field corresponds to the of their magnitudes: E_- E_+E_ k_Cfracq_+q_r^ k_Cfracq_+q_d/^ EnF timesnckctimesfracqa+qbd^ En approxEnP In this case the test charge experiences a force sscF'E q E_- qttimesEn FnapproxFnP-
Calculate the magnitude of the electric field halfway between two positive po charges qaO and qbO which are dO apart. Determine the force acting on a test charge qtO at this position. Redo the calculations for the case where one of the field-producing charges is negative.
Solution:
The partial electric fields vecE_ and vecE_ of q_ and q_ po in opposite directions. Therefore the net field E is given by E_+ E_-E_ k_Cfracq_-q_r^ k_Cfracq_-q_d/^ EpF timesnckctimesfracqb-qad^ Ep approxEpP A test charge q placed at this po experiences a force sscFE q E_+ qttimesEp FpapproxFpP- If one of the po charges is negative the partial electric field po in the same direction i.e. the net field corresponds to the of their magnitudes: E_- E_+E_ k_Cfracq_+q_r^ k_Cfracq_+q_d/^ EnF timesnckctimesfracqa+qbd^ En approxEnP In this case the test charge experiences a force sscF'E q E_- qttimesEn FnapproxFnP-
Meta Information
Exercise:
Calculate the magnitude of the electric field halfway between two positive po charges qaO and qbO which are dO apart. Determine the force acting on a test charge qtO at this position. Redo the calculations for the case where one of the field-producing charges is negative.
Solution:
The partial electric fields vecE_ and vecE_ of q_ and q_ po in opposite directions. Therefore the net field E is given by E_+ E_-E_ k_Cfracq_-q_r^ k_Cfracq_-q_d/^ EpF timesnckctimesfracqb-qad^ Ep approxEpP A test charge q placed at this po experiences a force sscFE q E_+ qttimesEp FpapproxFpP- If one of the po charges is negative the partial electric field po in the same direction i.e. the net field corresponds to the of their magnitudes: E_- E_+E_ k_Cfracq_+q_r^ k_Cfracq_+q_d/^ EnF timesnckctimesfracqa+qbd^ En approxEnP In this case the test charge experiences a force sscF'E q E_- qttimesEn FnapproxFnP-
Calculate the magnitude of the electric field halfway between two positive po charges qaO and qbO which are dO apart. Determine the force acting on a test charge qtO at this position. Redo the calculations for the case where one of the field-producing charges is negative.
Solution:
The partial electric fields vecE_ and vecE_ of q_ and q_ po in opposite directions. Therefore the net field E is given by E_+ E_-E_ k_Cfracq_-q_r^ k_Cfracq_-q_d/^ EpF timesnckctimesfracqb-qad^ Ep approxEpP A test charge q placed at this po experiences a force sscFE q E_+ qttimesEp FpapproxFpP- If one of the po charges is negative the partial electric field po in the same direction i.e. the net field corresponds to the of their magnitudes: E_- E_+E_ k_Cfracq_+q_r^ k_Cfracq_+q_d/^ EnF timesnckctimesfracqa+qbd^ En approxEnP In this case the test charge experiences a force sscF'E q E_- qttimesEn FnapproxFnP-
Contained in these collections:
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Electric Field (GF) by by
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Electric Field by by