# 1 charge at the center and many uniformly distributed on the surface of a perfect ideal conducting solid sphere

Suppose there is a perfect ideal conducting solid sphere. Suppose somehow a charge of $+Q$ is kept exactly at the center of the sphere and its surface is also given a $+Q$ charge uniformly distributed at the same time.

We know electric field inside a charged conductor is zero. But in this situation, a $+Q$ charge has appeared exactly at the center of the charged conductor. Will the electric field still be zero? If there is electric field inside,since net force on the center charge is zero and since the surface charges cannot go outside the sphere, the situation is like holding the surface charges with rigid sticks from the center, can a situation like this be created or will the center charge also go to the surface??

Lets take an electron and put it at the center and many electrons uniformly distributed on the surface of the sphere at the same time. Now net force on the electron is zero. Will it stay there and if we move it slightly it will come to the surface or will it come to surface anyway?

From the Guass law it follows that for a solid spherical shell, charge on the surface also behaves as if concentrated at its center. So, instead of spreading $+Q$ charge on the surface and placing $+Q$ charge at the center, you can directly spread $+2Q$ charge on the surface for the same effect. So, considering this, yes it is possible to create such a situation. I hope this helped.