# Charge distribution

inside a sphere there is a cavity of an arbitrary shape . a chage q is kept inside the cavity . there will be a uniform distribution of charge on the outer surface of the sphere . how can i prove that ?

Gauss's Law

Dick
Homework Helper
If you are actually going to use Gauss's law to prove this you'd better state the problem a lot more precisely. Is the sphere conducting? Does the sphere have any net charge on it? Otherwise, it's not even true.

Yes, I guess I made some assumptions about the problem. So can you tell us more?

YES THE SPHERE IS CONDUCTING .... How can we prove using gauss law that the charge distribution will be uniform ?

Dick
Homework Helper
Any ideas? We are only supposed to help you, not work the problem for you. If nothing else comes to mind, state Gauss' law.

well it can not be proved using gauss law .... the cavity is of any arbitrary shape .... All i can say is that the potential of the metallic sphere will be constant . after that which gaussian surface do i take ? i definitely have a non uniform charge distribuition on that irregular shaped cavity .... so how do i procceed now ?

Dick