Force on a part of a spherical shell on the other

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SUMMARY

The discussion centers on calculating the electrostatic force between two parts of a charged conducting sphere, divided by a plane at a distance r from the center. The original poster attempted to solve the problem by dividing each part into infinitely thin discs and integrating the forces between them, but found the process cumbersome. A suggestion was made to explore the Maxwell stress tensor as an alternative method for solving the problem more efficiently.

PREREQUISITES
  • Understanding of electrostatics and Coulomb's law
  • Familiarity with the concept of conducting spheres and charge distribution
  • Knowledge of integration techniques in physics
  • Basic understanding of the Maxwell stress tensor
NEXT STEPS
  • Research the application of the Maxwell stress tensor in electrostatics
  • Study the method of calculating forces using infinitesimal elements
  • Explore alternative methods for solving electrostatic problems involving symmetry
  • Learn about the properties of conducting materials in electrostatic equilibrium
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in advanced electrostatics and force calculations in charged systems.

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Homework Statement


Given there is a conducting sphere which has a charge q on it. A plane cuts the sphere into 2 form a distance r from centre. How can we calculate the electrostatic force on one part on either side of the plane due ro the other part?

Homework Equations

The Attempt at a Solution


I tried to divide one part and divided it into infinitely thin disc. Then i calculated the force due to this disc on the other part of sphere. This was done again by deviding the other part into small parts and then finding force due to the infinitesimal disc on the other infinitesimal didc and then integrate it. Ghis process looks very messy. Is there any other way yo solve it?
 
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Are you familiar with the Maxwell stress tensor?
 
Orodruin said:
Are you familiar with the Maxwell stress tensor?
Nope. But thanks for the reply. I will refer to it and try it out.
 

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