Electrodynamics regarding volume charge density behavior

[AHSAN MUJTABA]

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]

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.

 

[AHSAN MUJTABA]

Would you please elaborate a bit please?

 

[hutchphd]

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

 

[AHSAN MUJTABA]

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.