How can I calculate the charge density of a conductor in an electric field? I have tried many ways but I always seem to not understand how to do it. How can I do this mathematically?
EDIT: The conductor is isolated from other conductors. The external electric field is produced from insulators.(the insulators charge distribution doesnt vary no matter what.) The electric field that's acting on the conductor is given and the potential and charge distribution both have to be found. The surface is parametric. The conductor is hollow and has charges present in it.( again the charges are stationary and do not move). THE TOTAL CHARGE OF THE CONDUCTOR IS ZERO.