# Electrodynamics regarding volume charge density behavior

Summary:
What happens if our volume charge density for a conductor is constant?
In this explanation we need to involve the Dirac delta functions(maybe) but I clearly have a difficulty in understanding it can some one explain me the whole concept of constant or non constant volume charge density.

hutchphd
Homework Helper
If this is a constant charge density, then technically we are discussing electrostatics. In some ways the simplest model for an isolated "small {in physical extent) charge density uses the Dirac ##\delta ## function but it is not essential for the electrostatics.
A static charge density is typically a continuum of finite total charge in a finite space that is constant is time.

hutchphd
Homework Helper
Your question needs to be more specific. There are very large books on this subject!

Okay being specific I want to quote the following paragraph from Griffiths,
"We cannot apply Gauss’s law precisely at the surface of a dielectric, for here ##\rho_b## blows up, taking the divergence of E with it."
I don't really understand the meaning of it an explanation is needed.