Force on a part of a spherical shell on the other

[Brilli]

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?

 

[Orodruin]

Are you familiar with the Maxwell stress tensor?

 

[Brilli]

Are you familiar with the Maxwell stress tensor?

Nope. But thanks for the reply. I will refer to it and try it out.