- #1
Karl86
- 40
- 3
Homework Statement
Imagine having a conducting sphere with free charge ##Q## surrounded by a spherical shell filled with a dielectric and then a conducting spherical shell with no free net charge. I want to find out the charge induced on the spherical conducting shell by the sphere or by the dielectric.
Homework Equations
##D=\epsilon_0E + P##
The Attempt at a Solution
The dielectric being polarized, at its interface with the conducting spherical shell there will be a charge distribution ##\sigma## attracted by the bounded surface charge ##\sigma_b## of the dielectric and also by the charged sphere. Thus both the electric field ##E## and the electric displacement field ##D## will be discontinuous. Even though there is no free net charge in the spherical shell. Is this reasoning correct?
In other words, my doubt can be restated: is there some free charge at the inner surface of the spherical shell, even though the conducting shell has no net free charge?