Gleichstrom-Doppel-Sudoku 2V
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:
Berechne für die folgen beiden Schaltskizzen jeweils den Totalstrom den Ersatzwiderstand den Spannungsabfall über jedem einzelnen Widerstand sowie die Stromstärke durch jeden einzelnen Widerstand. Für beide Schaltskizzen gelten jeweils folge Werte: U_UO R_RaO R_RbO R_RcO R_RdO R_ReO. center circuitikz scope draw to battery l^U_ ; draw - to european resistor l^R_ ; draw to european resistor l^R_ -; draw - to european resistor l^R_ -; draw -------; draw - to european resistor l^R_ -; draw to european resistor l^R_ -; scope circuitikz center center tabularxtextwidth|X||r|r|r|r|r|r|hline & i & i & i & i & i & i hlinehline U_i/siV & cellcolorgray.UO & rulmmmmmm & & & & hline R_i/siohm & rulmmmmmm & cellcolorgray.RaO& cellcolorgray.RbO & cellcolorgray.RcO & cellcolorgray.RdO & cellcolorgray.ReO hline I_i/siA & rulmmmmmm & & & & & hline tabularx center center circuitikz scope draw to battery l^U_ -; draw - to european resistor l^R_ -; draw - to european resistor l^R_ ; draw - to european resistor l^R_ ; draw to european resistor l^R_ ; draw --; draw to european resistor l^R_ ; scope circuitikz center center tabularxtextwidth|X||r|r|r|r|r|r|hline & i & i & i & i & i & i hlinehline U_i/siV & cellcolorgray.UO & rulmmmmmm & & & & hline R_i/siohm & rulmmmmmm & cellcolorgray.RaO& cellcolorgray.RbO & cellcolorgray.RcO & cellcolorgray.RdO & cellcolorgray.ReO hline I_i/siA & rulmmmmmm & & & & & hline tabularx center
Solution:
center circuitikz scopexshiftcm yshiftcm draw ----; draw to european resistor l^R_ ; draw .--.; draw . to european resistor l^R_ .; draw . to european resistor l^R_ .; draw .--.; draw ---; draw -----; draw - to european resistor l^R_ -; draw to european resistor l^R_ ; scope circuitikz center center tabularxtextwidth|X||r|r|r|r|r|r|hline & i & i & i & i & i & i hlinehline U_i/siV & cellcolorgray.UO & rulmmmmmm & & & & hline R_i/siohm & rulmmmmmmRiP & cellcolorgray.RaO& cellcolorgray.RbO & cellcolorgray.RcO & cellcolorgray.RdO & cellcolorgray.ReO hline I_i/siA & rulmmmmmmIiP & & & & & hline tabularx center center circuitikz scopexshiftcm yshiftcm draw .---.; draw .---.; draw .---.; draw .---.; draw --; draw --; draw --; draw . to european resistor l^R_ .; draw . to european resistor l^R_ .; draw -. to european resistor l^R_ -.; draw . to european resistor l^R_ .; draw -. to european resistor l^R_ -.; scope circuitikz center center tabularxtextwidth|X||r|r|r|r|r|r|hline & i & i & i & i & i & i hlinehline U_i/siV & cellcolorgray.UO & rulmmmmmm & & & & hline R_i/siohm & rulmmmmmmRiiP & cellcolorgray.RaO& cellcolorgray.RbO & cellcolorgray.RcO & cellcolorgray.RdO & cellcolorgray.ReO hline I_i/siA & rulmmmmmmIiiP & & & & & hline tabularx center
Berechne für die folgen beiden Schaltskizzen jeweils den Totalstrom den Ersatzwiderstand den Spannungsabfall über jedem einzelnen Widerstand sowie die Stromstärke durch jeden einzelnen Widerstand. Für beide Schaltskizzen gelten jeweils folge Werte: U_UO R_RaO R_RbO R_RcO R_RdO R_ReO. center circuitikz scope draw to battery l^U_ ; draw - to european resistor l^R_ ; draw to european resistor l^R_ -; draw - to european resistor l^R_ -; draw -------; draw - to european resistor l^R_ -; draw to european resistor l^R_ -; scope circuitikz center center tabularxtextwidth|X||r|r|r|r|r|r|hline & i & i & i & i & i & i hlinehline U_i/siV & cellcolorgray.UO & rulmmmmmm & & & & hline R_i/siohm & rulmmmmmm & cellcolorgray.RaO& cellcolorgray.RbO & cellcolorgray.RcO & cellcolorgray.RdO & cellcolorgray.ReO hline I_i/siA & rulmmmmmm & & & & & hline tabularx center center circuitikz scope draw to battery l^U_ -; draw - to european resistor l^R_ -; draw - to european resistor l^R_ ; draw - to european resistor l^R_ ; draw to european resistor l^R_ ; draw --; draw to european resistor l^R_ ; scope circuitikz center center tabularxtextwidth|X||r|r|r|r|r|r|hline & i & i & i & i & i & i hlinehline U_i/siV & cellcolorgray.UO & rulmmmmmm & & & & hline R_i/siohm & rulmmmmmm & cellcolorgray.RaO& cellcolorgray.RbO & cellcolorgray.RcO & cellcolorgray.RdO & cellcolorgray.ReO hline I_i/siA & rulmmmmmm & & & & & hline tabularx center
Solution:
center circuitikz scopexshiftcm yshiftcm draw ----; draw to european resistor l^R_ ; draw .--.; draw . to european resistor l^R_ .; draw . to european resistor l^R_ .; draw .--.; draw ---; draw -----; draw - to european resistor l^R_ -; draw to european resistor l^R_ ; scope circuitikz center center tabularxtextwidth|X||r|r|r|r|r|r|hline & i & i & i & i & i & i hlinehline U_i/siV & cellcolorgray.UO & rulmmmmmm & & & & hline R_i/siohm & rulmmmmmmRiP & cellcolorgray.RaO& cellcolorgray.RbO & cellcolorgray.RcO & cellcolorgray.RdO & cellcolorgray.ReO hline I_i/siA & rulmmmmmmIiP & & & & & hline tabularx center center circuitikz scopexshiftcm yshiftcm draw .---.; draw .---.; draw .---.; draw .---.; draw --; draw --; draw --; draw . to european resistor l^R_ .; draw . to european resistor l^R_ .; draw -. to european resistor l^R_ -.; draw . to european resistor l^R_ .; draw -. to european resistor l^R_ -.; scope circuitikz center center tabularxtextwidth|X||r|r|r|r|r|r|hline & i & i & i & i & i & i hlinehline U_i/siV & cellcolorgray.UO & rulmmmmmm & & & & hline R_i/siohm & rulmmmmmmRiiP & cellcolorgray.RaO& cellcolorgray.RbO & cellcolorgray.RcO & cellcolorgray.RdO & cellcolorgray.ReO hline I_i/siA & rulmmmmmmIiiP & & & & & hline tabularx center
Meta Information
Exercise:
Berechne für die folgen beiden Schaltskizzen jeweils den Totalstrom den Ersatzwiderstand den Spannungsabfall über jedem einzelnen Widerstand sowie die Stromstärke durch jeden einzelnen Widerstand. Für beide Schaltskizzen gelten jeweils folge Werte: U_UO R_RaO R_RbO R_RcO R_RdO R_ReO. center circuitikz scope draw to battery l^U_ ; draw - to european resistor l^R_ ; draw to european resistor l^R_ -; draw - to european resistor l^R_ -; draw -------; draw - to european resistor l^R_ -; draw to european resistor l^R_ -; scope circuitikz center center tabularxtextwidth|X||r|r|r|r|r|r|hline & i & i & i & i & i & i hlinehline U_i/siV & cellcolorgray.UO & rulmmmmmm & & & & hline R_i/siohm & rulmmmmmm & cellcolorgray.RaO& cellcolorgray.RbO & cellcolorgray.RcO & cellcolorgray.RdO & cellcolorgray.ReO hline I_i/siA & rulmmmmmm & & & & & hline tabularx center center circuitikz scope draw to battery l^U_ -; draw - to european resistor l^R_ -; draw - to european resistor l^R_ ; draw - to european resistor l^R_ ; draw to european resistor l^R_ ; draw --; draw to european resistor l^R_ ; scope circuitikz center center tabularxtextwidth|X||r|r|r|r|r|r|hline & i & i & i & i & i & i hlinehline U_i/siV & cellcolorgray.UO & rulmmmmmm & & & & hline R_i/siohm & rulmmmmmm & cellcolorgray.RaO& cellcolorgray.RbO & cellcolorgray.RcO & cellcolorgray.RdO & cellcolorgray.ReO hline I_i/siA & rulmmmmmm & & & & & hline tabularx center
Solution:
center circuitikz scopexshiftcm yshiftcm draw ----; draw to european resistor l^R_ ; draw .--.; draw . to european resistor l^R_ .; draw . to european resistor l^R_ .; draw .--.; draw ---; draw -----; draw - to european resistor l^R_ -; draw to european resistor l^R_ ; scope circuitikz center center tabularxtextwidth|X||r|r|r|r|r|r|hline & i & i & i & i & i & i hlinehline U_i/siV & cellcolorgray.UO & rulmmmmmm & & & & hline R_i/siohm & rulmmmmmmRiP & cellcolorgray.RaO& cellcolorgray.RbO & cellcolorgray.RcO & cellcolorgray.RdO & cellcolorgray.ReO hline I_i/siA & rulmmmmmmIiP & & & & & hline tabularx center center circuitikz scopexshiftcm yshiftcm draw .---.; draw .---.; draw .---.; draw .---.; draw --; draw --; draw --; draw . to european resistor l^R_ .; draw . to european resistor l^R_ .; draw -. to european resistor l^R_ -.; draw . to european resistor l^R_ .; draw -. to european resistor l^R_ -.; scope circuitikz center center tabularxtextwidth|X||r|r|r|r|r|r|hline & i & i & i & i & i & i hlinehline U_i/siV & cellcolorgray.UO & rulmmmmmm & & & & hline R_i/siohm & rulmmmmmmRiiP & cellcolorgray.RaO& cellcolorgray.RbO & cellcolorgray.RcO & cellcolorgray.RdO & cellcolorgray.ReO hline I_i/siA & rulmmmmmmIiiP & & & & & hline tabularx center
Berechne für die folgen beiden Schaltskizzen jeweils den Totalstrom den Ersatzwiderstand den Spannungsabfall über jedem einzelnen Widerstand sowie die Stromstärke durch jeden einzelnen Widerstand. Für beide Schaltskizzen gelten jeweils folge Werte: U_UO R_RaO R_RbO R_RcO R_RdO R_ReO. center circuitikz scope draw to battery l^U_ ; draw - to european resistor l^R_ ; draw to european resistor l^R_ -; draw - to european resistor l^R_ -; draw -------; draw - to european resistor l^R_ -; draw to european resistor l^R_ -; scope circuitikz center center tabularxtextwidth|X||r|r|r|r|r|r|hline & i & i & i & i & i & i hlinehline U_i/siV & cellcolorgray.UO & rulmmmmmm & & & & hline R_i/siohm & rulmmmmmm & cellcolorgray.RaO& cellcolorgray.RbO & cellcolorgray.RcO & cellcolorgray.RdO & cellcolorgray.ReO hline I_i/siA & rulmmmmmm & & & & & hline tabularx center center circuitikz scope draw to battery l^U_ -; draw - to european resistor l^R_ -; draw - to european resistor l^R_ ; draw - to european resistor l^R_ ; draw to european resistor l^R_ ; draw --; draw to european resistor l^R_ ; scope circuitikz center center tabularxtextwidth|X||r|r|r|r|r|r|hline & i & i & i & i & i & i hlinehline U_i/siV & cellcolorgray.UO & rulmmmmmm & & & & hline R_i/siohm & rulmmmmmm & cellcolorgray.RaO& cellcolorgray.RbO & cellcolorgray.RcO & cellcolorgray.RdO & cellcolorgray.ReO hline I_i/siA & rulmmmmmm & & & & & hline tabularx center
Solution:
center circuitikz scopexshiftcm yshiftcm draw ----; draw to european resistor l^R_ ; draw .--.; draw . to european resistor l^R_ .; draw . to european resistor l^R_ .; draw .--.; draw ---; draw -----; draw - to european resistor l^R_ -; draw to european resistor l^R_ ; scope circuitikz center center tabularxtextwidth|X||r|r|r|r|r|r|hline & i & i & i & i & i & i hlinehline U_i/siV & cellcolorgray.UO & rulmmmmmm & & & & hline R_i/siohm & rulmmmmmmRiP & cellcolorgray.RaO& cellcolorgray.RbO & cellcolorgray.RcO & cellcolorgray.RdO & cellcolorgray.ReO hline I_i/siA & rulmmmmmmIiP & & & & & hline tabularx center center circuitikz scopexshiftcm yshiftcm draw .---.; draw .---.; draw .---.; draw .---.; draw --; draw --; draw --; draw . to european resistor l^R_ .; draw . to european resistor l^R_ .; draw -. to european resistor l^R_ -.; draw . to european resistor l^R_ .; draw -. to european resistor l^R_ -.; scope circuitikz center center tabularxtextwidth|X||r|r|r|r|r|r|hline & i & i & i & i & i & i hlinehline U_i/siV & cellcolorgray.UO & rulmmmmmm & & & & hline R_i/siohm & rulmmmmmmRiiP & cellcolorgray.RaO& cellcolorgray.RbO & cellcolorgray.RcO & cellcolorgray.RdO & cellcolorgray.ReO hline I_i/siA & rulmmmmmmIiiP & & & & & hline tabularx center
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