Elektrodynamik: Selbstinduktion 2
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:
Wie gross ist die elektrische und magnetische Energiedichte an der Oberfläche einer Hochspannungsleitung z.B. in . cm Abstand von der Achse einer Leitung die von A durchflossen wird und eine Spannung von kV gegen Erde aufweist? Betrachten Sie das Leiterseil näherungsweise als geladenen Stab in m Höhe um die elektrische Feldstärke via die Spannung zu berechnen. quad
Solution:
% . Juli Lie. * &w_m fracB^mu_ fracmu_ leftfracmu_ Ipi r right^ fracpieesiVs/Am siA^pi^.sim^ uuline.siJ/m^ * Die Spannung zwischen Erde und Leiterseil ist ungefähr * &U E dr approx fraclambda dr pi epsilon_ r fraclambda pi epsilon_ lnfracrr_ E r_lnfracrr_ Rightarrow E fracUr_ln r/r_ &w_e tfracvarepsilon_ E^ tfracvarepsilon_ left fracUr_ln r/r_ right^ tfrac .eesiAs/Vm left fraceeesiV.simlnsim/.sim right^ uulinesiJ/m^ * Eigentlich besteht das Feld aus jenem des Leiterseils sowie von dessen Spiegelladung. Unsere Abschätzung vernachlässig das Feld der Spiegelladung das aber deutlich schwächer ist. newpage
Wie gross ist die elektrische und magnetische Energiedichte an der Oberfläche einer Hochspannungsleitung z.B. in . cm Abstand von der Achse einer Leitung die von A durchflossen wird und eine Spannung von kV gegen Erde aufweist? Betrachten Sie das Leiterseil näherungsweise als geladenen Stab in m Höhe um die elektrische Feldstärke via die Spannung zu berechnen. quad
Solution:
% . Juli Lie. * &w_m fracB^mu_ fracmu_ leftfracmu_ Ipi r right^ fracpieesiVs/Am siA^pi^.sim^ uuline.siJ/m^ * Die Spannung zwischen Erde und Leiterseil ist ungefähr * &U E dr approx fraclambda dr pi epsilon_ r fraclambda pi epsilon_ lnfracrr_ E r_lnfracrr_ Rightarrow E fracUr_ln r/r_ &w_e tfracvarepsilon_ E^ tfracvarepsilon_ left fracUr_ln r/r_ right^ tfrac .eesiAs/Vm left fraceeesiV.simlnsim/.sim right^ uulinesiJ/m^ * Eigentlich besteht das Feld aus jenem des Leiterseils sowie von dessen Spiegelladung. Unsere Abschätzung vernachlässig das Feld der Spiegelladung das aber deutlich schwächer ist. newpage
Meta Information
Exercise:
Wie gross ist die elektrische und magnetische Energiedichte an der Oberfläche einer Hochspannungsleitung z.B. in . cm Abstand von der Achse einer Leitung die von A durchflossen wird und eine Spannung von kV gegen Erde aufweist? Betrachten Sie das Leiterseil näherungsweise als geladenen Stab in m Höhe um die elektrische Feldstärke via die Spannung zu berechnen. quad
Solution:
% . Juli Lie. * &w_m fracB^mu_ fracmu_ leftfracmu_ Ipi r right^ fracpieesiVs/Am siA^pi^.sim^ uuline.siJ/m^ * Die Spannung zwischen Erde und Leiterseil ist ungefähr * &U E dr approx fraclambda dr pi epsilon_ r fraclambda pi epsilon_ lnfracrr_ E r_lnfracrr_ Rightarrow E fracUr_ln r/r_ &w_e tfracvarepsilon_ E^ tfracvarepsilon_ left fracUr_ln r/r_ right^ tfrac .eesiAs/Vm left fraceeesiV.simlnsim/.sim right^ uulinesiJ/m^ * Eigentlich besteht das Feld aus jenem des Leiterseils sowie von dessen Spiegelladung. Unsere Abschätzung vernachlässig das Feld der Spiegelladung das aber deutlich schwächer ist. newpage
Wie gross ist die elektrische und magnetische Energiedichte an der Oberfläche einer Hochspannungsleitung z.B. in . cm Abstand von der Achse einer Leitung die von A durchflossen wird und eine Spannung von kV gegen Erde aufweist? Betrachten Sie das Leiterseil näherungsweise als geladenen Stab in m Höhe um die elektrische Feldstärke via die Spannung zu berechnen. quad
Solution:
% . Juli Lie. * &w_m fracB^mu_ fracmu_ leftfracmu_ Ipi r right^ fracpieesiVs/Am siA^pi^.sim^ uuline.siJ/m^ * Die Spannung zwischen Erde und Leiterseil ist ungefähr * &U E dr approx fraclambda dr pi epsilon_ r fraclambda pi epsilon_ lnfracrr_ E r_lnfracrr_ Rightarrow E fracUr_ln r/r_ &w_e tfracvarepsilon_ E^ tfracvarepsilon_ left fracUr_ln r/r_ right^ tfrac .eesiAs/Vm left fraceeesiV.simlnsim/.sim right^ uulinesiJ/m^ * Eigentlich besteht das Feld aus jenem des Leiterseils sowie von dessen Spiegelladung. Unsere Abschätzung vernachlässig das Feld der Spiegelladung das aber deutlich schwächer ist. newpage
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