Question about coulomb's force.

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In summary, the conversation revolves around finding the condition for maximum Coulomb's repulsion when a certain charge "Q" is divided into two parts, "Q-q" and "q", placed at a given distance apart. The suggested method is to write down the expression for the force between the charges, find the differentiation with respect to "q", and equate it to zero. This will result in the desired condition. The question also raises confusion about whether to differentiate with respect to "Q" or "q", which is later resolved with the help of rl.bhat.
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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?
 
  • #3
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.
 
  • #4
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"?
 
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  • #5
Now I have found what is the reason. Thank you very much for help rl.bhat.
 

What is Coulomb's force?

Coulomb's force, also known as the electrostatic force, is the force of attraction or repulsion between two charged particles. It follows the inverse square law, meaning that the force between two particles decreases as the distance between them increases.

Who discovered Coulomb's force?

Coulomb's force was discovered by French physicist Charles-Augustin de Coulomb in the late 18th century. He conducted experiments with charged spheres and developed the mathematical equation for the force between two charged particles.

How is Coulomb's force calculated?

The force between two charged particles can be calculated using the equation F = k(q1q2)/r^2, where F is the force, k is the Coulomb's constant, q1 and q2 are the charges of the particles, and r is the distance between them. The unit of force in this equation is Newton (N).

What is the difference between Coulomb's force and gravitational force?

Coulomb's force and gravitational force are both fundamental forces of nature, but they act on different types of particles. Coulomb's force acts between charged particles, while gravitational force acts between any two particles with mass. Additionally, Coulomb's force is much stronger than gravitational force, but gravitational force has an infinite range while Coulomb's force has a limited range.

What are some real-world applications of Coulomb's force?

Coulomb's force plays a crucial role in many everyday technologies, such as electronic devices, power plants, and medical equipment. It is also responsible for the formation of lightning, the attraction of dust particles to a TV screen, and the repulsion between two magnets.

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