I am trying to solve the following problem:
A charge $q$ is brought to a distance $d$ from the center of an uncharged, conducting sphere of radius R. What is the charge per unit area of the sphere as a function of the polar angle $\theta$?
Can anyone offer an explanation on how to approach this problem?
I have already solved this problem once assuming that, instead of being uncharged, the sphere is grounded at a potential $\varphi =0$, but I am unable to see how the answer will be different for an "uncharged" sphere. What role does the sphere being "uncharged" play in the solution? I don't understand what implication being "uncharged" has on the physics involved in this problem.
