Point charge or distributions?

In summary, the conversation discusses the difference between point charges and charge distributions, where point charges are easier to calculate and often a good approximation due to the small size of charge distributions. However, classical point charges have mathematical problems, leading to the development of quantum electrodynamics as the preferred model. Other models approximate the results of QED under specific circumstances.
  • #1
bmrick
44
0
Do charges exist as a point or a distribution? Or does it depend on the situation? Or does the concept of image mean that it's very difficult to tell, and if so why is the point charge model being pushed so hard, what phenomena does it explain that distributions cant?
 
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  • #2
bmrick said:
what phenomena does it explain that distributions cant?
Nothing, but it is significantly easier to calculate, and often point charges are a good approximation because the actual charge distribution is so small its size does not matter.
 
  • #3
Really? So the entire model rests on The fact that calculations tend to be easier?I'd imagine there are some differences that arise between the two models as far as what they predict?
 
  • #4
It is all mathematical models. You always want to use the simplest model that will get the job done. So simplicity is a valid reason to pick a model.

Classical point charges have a number of mathematical problems. Because the field is infinite near a classical point particle you can get things like infinite radiation back reaction and other similar inconsistencies. So you need to use them judiciously.
 
  • #5
Gotcha. I'll look into this infinite radiation. So then do we have a proffered model which gives all the right results and then we have models of that are slightly off but easier and have negligible discrepency under certain circumstances, or do both models predict different things and sometimes one gives the right prediction and sometimes the other?
 
  • #6
Yes. Quantum electrodynamics is the model which is correct under all known circumstances. Many other models approximate the results of QED under specific circumstances.
 

FAQ: Point charge or distributions?

1. What is a point charge?

A point charge is an idealized concept in physics where all of the charge is concentrated at a single point in space. This is commonly used to simplify calculations involving electric fields and forces.

2. What is a charge distribution?

A charge distribution is a physical system where the charge is spread out over a certain area or volume. This can be in the form of continuous distributions, such as a line or surface charge, or discrete distributions, such as individual point charges.

3. How do point charges and distributions differ?

The main difference between point charges and distributions is that point charges are concentrated at a single point, while distributions have charge spread out over an area or volume. Point charges also have a specific charge value, while distributions have a charge density that describes the amount of charge per unit area or volume.

4. How are electric fields affected by point charges and distributions?

Electric fields are created by both point charges and distributions, but the strength and direction of the field will differ. Point charges will create a radial electric field, while distributions can create more complex field patterns depending on their shape and orientation.

5. What are some examples of charge distributions in real life?

Some examples of charge distributions in real life include the distribution of charges in atoms and molecules, the distribution of charges on the surface of a conductor, and the distribution of charges in the Earth's atmosphere during a thunderstorm.

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