How do you work out the potential difference between two point charges?

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Discussion Overview

The discussion revolves around understanding the concept of potential difference between two point charges, with a focus on the implications of charge distribution and the conditions under which potential difference can be calculated. The scope includes conceptual clarification and technical reasoning related to electrostatics.

Discussion Character

  • Conceptual clarification, Technical explanation, Debate/contested

Main Points Raised

  • One participant expresses confusion about the definition of a volt and poses a specific scenario involving differing numbers of electrons to understand potential difference.
  • Another participant suggests that the original question is ill-defined due to the nature of point charges and proposes a scenario with electrons evenly distributed in a metal box.
  • A further reply indicates that the potential difference is influenced by the shape of the box and the distance between charge distributions, suggesting a model of a capacitor for clearer calculations.
  • One participant questions whether a potential difference arises simply from having more charge in one location compared to another.
  • Another participant responds that while a difference in charge can create a potential difference, the distribution of charge also plays a crucial role, noting that potential difference can exist even with equal numbers of charges if their distributions differ.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the original question, with multiple competing views regarding the definition and calculation of potential difference based on charge distribution and configuration.

Contextual Notes

The discussion highlights limitations in the original question's assumptions and the need for clearer definitions regarding charge distribution and geometry in electrostatics.

CraigH
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I'm having trouble trying to understand what a volt is, and I thought this question might be able to help me understand, so..

For example: If there are 10^6 electrons in one place, and 100 electrons in a different place, what will the potential difference between these two places be.
Also, if a wire was connected between these two places, and this wire had a resistance of 1 ohm, what would the current be?
Thanks
 
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I'v just found out that the fact that they are point charge's makes this question impossible to answer, so let's say at both sides the electrons are equally spread out in a 1m^3 metal box.
 
Last edited:
This is still not well-defined. The field and therefore the potential difference will depend on the shape of your box and the distance between the boxes.

You could consider a large capacitor made out of two parallel plates with well-defined surface densities of electrons on both sides. There, it is possible to calculate the potential difference without complex calculations.
 
Okay, but am I right in thinking that the reason there is a potential difference is because there is more charge in one place than the other?
 
That can give a potential difference. But it depends on the charge distribution, too.
You can get a potential difference between two objects with the same number of charges each, too, for example if one of the objects is smaller than the other one.
 

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