Electrostatic Potential: Value at zero distance from charge

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Discussion Overview

The discussion revolves around the electrostatic potential due to point charges, particularly focusing on the implications of the formula for electrostatic potential at a distance of zero from a charge. Participants explore the relationship between this theoretical concept and the practical scenario of battery terminals, questioning how potential can be defined in these contexts.

Discussion Character

  • Conceptual clarification
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant states that according to the formula for electrostatic potential, the value should be infinite at r=0, raising a question about the implications for battery terminals.
  • Another participant argues that battery terminals are not point charges and that classical theory breaks down at very small distances, suggesting a need for quantum theory.
  • A participant acknowledges that battery terminals create a driving force for electrons but seeks clarification on how potential develops in the electrodes, referencing a figure from an external source.
  • One participant emphasizes the importance of understanding the limitations and assumptions of formulas, noting that Coulomb's law applies outside of spherically symmetric charge distributions and that battery terminals do not conform to this model.

Areas of Agreement / Disagreement

Participants express differing views on the applicability of electrostatic potential formulas to battery terminals, with some emphasizing the limitations of classical physics while others question the implications of these limitations. The discussion remains unresolved regarding the nature of potential at battery terminals compared to point charges.

Contextual Notes

Participants highlight the need to consider the assumptions underlying the use of electrostatic potential formulas, particularly in relation to the geometry of charge distributions and the transition to quantum theory at small scales.

Prateek Kumar Jain
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Formula for Electrostatic Potential due to a point charge is V=1/4π∈ Q1 Q2/r

This implies that at r=0 value of the potential should be infinity.

Is it True.

If that is the case then how we say the terminals of a battery having positive and negative charge are having definite value of potentials. I think as per the formula potential of terminals of battery should also be infinity?

Some one please clarify
 
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Battery terminals are not points. When you get close enough to a "point" charge, classical theory breaks down and you need quantum theory.
 
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mathman said:
Battery terminals are not points. When you get close enough to a "point" charge, classical theory breaks down and you need quantum theory.

I understand Battery terminals are not points. But they create a driving force for electrons to move in an Electric Circuit.

cellabel.gif

If you see the above figure copied from "http://hyperphysics.phy-astr.gsu.edu/hbase/chemical/electrochem.html". I don't understand how potential is created in the battery terminals?

Potential is created by charges. Here we have Zn Charge and Cu Charge, How potential develops in the electrodes?
 
Prateek Kumar Jain said:
I think as per the formula potential of terminals of battery should also be infinity
In physics you cannot just blindly go plugging numbers into formulas. You need to know the limitations or approximations or assumptions of a formula.

Coulomb's law is limited to the outside of a spherically symmetric charge distribution. The terminals of a battery are not spherically symmetric, and even if they were their radius would be finite.
 
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