Understanding Coulomb's Law: What if One Object has No Charge?

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Discussion Overview

The discussion revolves around Coulomb's Law and the implications of having one object with no charge in a system where inductance is considered. Participants explore the nature of forces between charged and uncharged objects, the concept of charge distribution, and the interpretation of electrostatic principles.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions the implications of Coulomb's Law when one object has zero charge, suggesting that this leads to confusion about the force being zero.
  • Another participant explains that inductance can lead to a redistribution of charge, even if the net charge is zero, which complicates the interaction between charged and uncharged objects.
  • A participant proposes that when calculating the force using Coulomb's Law, one might assume the uncharged object has acquired a charge equal to that of the charged object.
  • It is noted that to accurately account for the interaction, one would need to consider the charge distribution throughout the volume of the uncharged object, which can be complex.
  • A participant expresses confusion about a statement in their textbook regarding the electric field within a conductor, indicating a lack of clarity on the concept being presented.

Areas of Agreement / Disagreement

Participants express differing views on how to approach the problem of charge interaction when one object is uncharged. There is no consensus on the correct interpretation or application of Coulomb's Law in this context.

Contextual Notes

The discussion highlights limitations in understanding charge distribution and the complexities involved in applying electrostatic principles, particularly in non-trivial cases.

Who May Find This Useful

This discussion may be of interest to students and educators in physics, particularly those exploring electrostatics, charge interactions, and the implications of Coulomb's Law.

Cyrus
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Im reading Coulmbs law and I have stumbeled upon a problem. The numerator is the product of the two charges. But according to inductance, I can create a force of attraction between two objects if only one object has a charge. So charge two would be zero? And the force would be zero!? That does not make sense, would the proper thing be to break the charge equally in half between the two objects? or should I consider the force to be the same for each object as the charged one?
 
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Inductance will give you a distribution of charge even if the net charge is zero. That means, for example, that some of the redistributed charge of one sign will be closer to the external charge than the oppositely signed charge - so attractive and repulsive forces won't exactly cancel.
 
So then for q1 * q2, I would effectively use the same number as the charged object and assume the uncharged object has picked up the same charge value?
 
Yes, but you would have to do that for every element of charge dq throughout the volume of the object. Incidentally, finding the actual charge distribution is not trivial except in very special cases!
 
Hey Tide, what's all this junk in my book. i think there trying to explain something to me, imagine that, but i don't get it.

"we conclude that in electrostatics the electric field at every point within the material of a conductor must be zero. (Note that we are not saying that the field is necessarily zero in a hole inside a conductor)."

what in the world do they mean by that?
 

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