Solve a numerical of charge distribution

Let the charges be Q₁ and Q₂ distributed over the two parts, but uniformly distributed.

F = kQ₁(Q-Q₁)/R²

As we can see the force is the function of Q1 only since Q, total charge and R, separation distance is consant.

dF/dQ₁ = 0

k[-Q₁ + (Q - Q₁)]/R² = 0

Q₁ = Q/2

Hence Q₂ = Q/2

Regards,

Team,

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