Laser Intensity
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:
A laser beam with a power of PO has a diameter of dO. Calculate the ensity of the laser beam and the magnitudes of the electric and the magnetic field vector.
Solution:
The ensity is I fracPA IF fracPpitimesd/ I approx resultIP The ensity can be expressed via the amplitude of the electric field: I fracvarepsilon_ E_^ c Solving for the field amplitude yields E_ EF sqrtfracfracPpid/^varepsilon c sqrtfrac fracPpi d / ^nceps ncc E approx resultEP The amplitude of the magnetic field is B_ BF fracsqrtfracfracPpid/^varepsilon cc fracsqrtfrac fracPpi d / ^nceps nccncc B approx resultBP-
A laser beam with a power of PO has a diameter of dO. Calculate the ensity of the laser beam and the magnitudes of the electric and the magnetic field vector.
Solution:
The ensity is I fracPA IF fracPpitimesd/ I approx resultIP The ensity can be expressed via the amplitude of the electric field: I fracvarepsilon_ E_^ c Solving for the field amplitude yields E_ EF sqrtfracfracPpid/^varepsilon c sqrtfrac fracPpi d / ^nceps ncc E approx resultEP The amplitude of the magnetic field is B_ BF fracsqrtfracfracPpid/^varepsilon cc fracsqrtfrac fracPpi d / ^nceps nccncc B approx resultBP-
Meta Information
Exercise:
A laser beam with a power of PO has a diameter of dO. Calculate the ensity of the laser beam and the magnitudes of the electric and the magnetic field vector.
Solution:
The ensity is I fracPA IF fracPpitimesd/ I approx resultIP The ensity can be expressed via the amplitude of the electric field: I fracvarepsilon_ E_^ c Solving for the field amplitude yields E_ EF sqrtfracfracPpid/^varepsilon c sqrtfrac fracPpi d / ^nceps ncc E approx resultEP The amplitude of the magnetic field is B_ BF fracsqrtfracfracPpid/^varepsilon cc fracsqrtfrac fracPpi d / ^nceps nccncc B approx resultBP-
A laser beam with a power of PO has a diameter of dO. Calculate the ensity of the laser beam and the magnitudes of the electric and the magnetic field vector.
Solution:
The ensity is I fracPA IF fracPpitimesd/ I approx resultIP The ensity can be expressed via the amplitude of the electric field: I fracvarepsilon_ E_^ c Solving for the field amplitude yields E_ EF sqrtfracfracPpid/^varepsilon c sqrtfrac fracPpi d / ^nceps ncc E approx resultEP The amplitude of the magnetic field is B_ BF fracsqrtfracfracPpid/^varepsilon cc fracsqrtfrac fracPpi d / ^nceps nccncc B approx resultBP-
Contained in these collections
-
Electromagnetic Waves by by
| Title | Matched on |
|---|---|
| Pulsed Laser | tagsformula |
| Solar Constant | tagsformula |
| Electromagnetic Wave | formula |
| Laser beam | tagsformula |
| Magnetic Field | tagsformula |
Similar exercises (12)
| Title | Matched on |
|---|---|
| Pulsed Laser | tagsformula |
| Solar Constant | tagsformula |
| Electromagnetic Wave | formula |
| Laser beam | tagsformula |
| Magnetic Field | tagsformula |
| Crossed Fields | tagsformula |
| Accelerated Electrons | formula |
| Elektron im E-Feld | formula |
| Radio Transmitter | tags |
| Electric Field | tags |
| Poynting Vector | tags |
| Lens | tags |