# Is the electrostatic equilibrium that conductors reach a consequence of Coulomb's law?

We know that if charges were to be placed within a conductor, they would start to rearrange themselves until they reach an electrostatic equilibrium where all charges are 'still' and no $$E$$-field is present within or on the surface of the conductor.

Would they still reach an electrostatic equilibrium if Coulomb's law was not an inverse square law?

My intuition tells me that this equilibrium is independent of the inverse square law, if we had a law that falls like $$r^{3}$$, same charges would still repel each other, and they would keep doing so until all the mutual repulsive forces cancel each other, i.e., until all charges reach a stationary position. I have the impression that this equilibrium is solely due to the mutual repulsion of same charges, regardless of how strong they repel each other.