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## Homework Statement

Find the force that tries to rip apart a conducting shell into two halves about its equator when kept in a uniform electric field of magnitude ##E##.

## Homework Equations

Gauss Law: $$\nabla\cdot\vec{E}=\frac{\rho}{\epsilon_0}$$

I think Laplace equation might also be helpful.

## The Attempt at a Solution

Firstly, why should the two halves repel each other ?

Can you just help me to figure out that part? Then I will attempt the question once more.