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## Homework Statement

Hi everybody! I just started electromagnetism, and I'd like to make sure I get the concepts correctly before going further. I got this homework:

A charge is shared between two spheres. How big must the share of charge relative to one another be, so that there is the maximal repellent force between them with a given distance r.

## Homework Equations

Coulomb force: [tex] F_c = \frac{1}{4 \cdot π \cdot ε_0} \cdot \frac{q_1 \cdot q_2}{r^2}

[/tex]

## The Attempt at a Solution

Well I know that the charges must have the same sign to make the coulomb force repellent, so my first guess would be that q

_{1}and q

_{2}will repel each other at most when there are equal, that is q

_{1}= q

_{2}= ½⋅∑q. Is that correct? Sounds a bit too easy, but it's only the first homework :)

Thanks a lot in advance for your answers!

Julien.