Question about coulomb's force.

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Homework Help Overview

The discussion revolves around the concept of Coulomb's force, specifically focusing on how to determine the relationship between a total charge "Q" and a part "q" when maximizing the repulsive force between two charges separated by a distance.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to understand the condition for maximum Coulomb's repulsion and seeks help in finding this relationship. Some participants suggest writing down the force expression and differentiating with respect to "q" to find the maximum condition. Others question the reasoning behind this differentiation and whether it should be done with respect to "Q" or "q".

Discussion Status

The discussion is active, with participants exploring different approaches to the problem. Some guidance has been provided regarding differentiation, and there is an acknowledgment of understanding from the original poster, indicating progress in the discussion.

Contextual Notes

There may be assumptions regarding the setup of the problem and the nature of the charges that are not fully articulated, as well as the specific conditions under which the maximum repulsion is to be determined.

DIMSKK
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1. A certain charge "Q" is to be divided into two parts, "Q-q" and "q". What is the relation of "Q" to "q" if two parts, placed at a given distance apart, are to have the maximum coulomb's repulsion?

I am unable to find the condition when there is a maximum Coulomb's repulsion. Any help will be greatly appreciated.

Thanks in Advance

DIMSKK
 
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What have you tried so far?
 
Write down the expression for the force between the charges. Find the differentiation with respect to q and equate it to zero. That gives you the condition for the maximum coulomb's repulsion.
 
rl.bhat said:
Write down the expression for the force between the charges. Find the differentiation with respect to q and equate it to zero. That gives you the condition for the maximum coulomb's repulsion.

Why find the differentiation with respect to q and then equate it to 0? I mean why force will be maximum when we do this? Can anyone explain? Moreover, whether we differentiate the expression with "Q" or "q"?
 
Last edited:
Now I have found what is the reason. Thank you very much for help rl.bhat.
 

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