# About induced surface density of charge in a dielectric

In electrostatic conditions does it make sense to have a dielectric material with a non-zero induced surface density of charge at one surface and no induced surface charge density at the opposite surface? This is the result I've found for a dielectric sphere surrounding a conducting sphere with a net charge Q, but I'm not sure it is correct. The result I obtained is that at the inner surface the charge density is just the one corresponding to the conducting sphere and at the outter surface the charge density is zero, does this make sense? Obviously this could not happen if it were a conducting material instead of a dielectric. Is this result due to the polarization inside the material?