Relationship between EMF and distance between the particles

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SUMMARY

The discussion centers on the relationship between electromagnetic force (EMF) and the distance between charged particles, specifically protons and electrons in a hydrogen atom. Participants highlight that while the attractive force between these particles suggests they should collapse to zero distance, quantum mechanics provides a framework that explains their stable separation. The failure of the Rutherford model is noted, emphasizing that protons and electrons cannot be accurately described as small charged spheres. Instead, quantum mechanics offers a more precise description of atomic structure.

PREREQUISITES
  • Understanding of electromagnetic force (EMF) and its properties
  • Basic knowledge of atomic structure and quantum mechanics
  • Familiarity with the Rutherford model of the atom
  • Concept of force balance in physics
NEXT STEPS
  • Study quantum mechanics principles related to atomic structure
  • Research the limitations of the Rutherford model of the atom
  • Explore the concept of wave-particle duality in quantum physics
  • Learn about the role of potential energy in atomic interactions
USEFUL FOR

Students of physics, educators, and anyone interested in atomic theory and quantum mechanics will benefit from this discussion, particularly those seeking to understand the dynamics of charged particles in atomic structures.

werunom
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Hello.

One doubt.
How is the distance between the charged particles and the EMF between them get balanced out? That is, if I have a proton and electron, they attract each other, move towards each other and form a H atom. But going by this attractive force, they should approach each other such that the distance between them tends to be zero. And if this is the case, EMF would become infinite.
Since that doesn't happen, how the electron and the proton maintain & balance the distance between them?
 
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The fail of the Rutherford's H-atom's model has been extensively discussed on these forums along the years. Use the search option to find the threads. In short, the electron and the proton are not to be seen nor mathematically described as 2 small electrically charged spheres with charges of opposite sign.

Quantum mechanics provides an exact description of the H-atom.
 
werunom said:
Hello.

One doubt.
How is the distance between the charged particles and the EMF between them get balanced out? That is, if I have a proton and electron, they attract each other, move towards each other and form a H atom. But going by this attractive force, they should approach each other such that the distance between them tends to be zero. And if this is the case, EMF would become infinite.
Since that doesn't happen, how the electron and the proton maintain & balance the distance between them?

Please start by reading the FAQ thread in the General Physics forum. This is also not a "high energy physics" or "nuclear physics" question. This thread will be moved to a more appropriate forum.

Furthermore, you may want to spell out clearly what "EMF" stands for within the context of your usage. Please note that "EMF" as commonly used stands for "electromotive force".

Zz.
 
@ZapperZ - Excuse. Will take care from future.

@bigubau - I searched this forum and tried even google; but no luck! Though, I got links related to Rutherford's model and its drawback, I am not able to find the answer to my question.
can you please point me to the resource or mention the reason in brief? I can pick up the trail from there.
Edited -
Paraphrasing my doubt - how the distance between two charged particles get balanced out? As we know, electromagnetic force [EMF] is of infinite range - it just becomes weaker, but not zero. So, if there is an electron and a proton, both would get attracted towards each other. but it never happens that the distance between them becomes zero.
If that is the case, and EMF = (the product of the charges)/(the distance between the charges), the only thing fixed is the product of the charges. The EMF and (the distance between the charges) will have to balance out.
So...how this balancing act happens?

Thanks for your help.
 
Last edited:

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