Electrodynamics regarding volume charge density behavior

  • #1
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.
 

Answers and Replies

  • #2
hutchphd
Science Advisor
Homework Helper
3,033
2,177
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.
 
  • #3
Would you please elaborate a bit please?
 
  • #4
hutchphd
Science Advisor
Homework Helper
3,033
2,177
Your question needs to be more specific. There are very large books on this subject!
 
  • #5
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.
 

Related Threads on Electrodynamics regarding volume charge density behavior

  • Last Post
Replies
3
Views
16K
  • Last Post
Replies
10
Views
949
  • Last Post
Replies
7
Views
11K
G
  • Last Post
2
Replies
31
Views
3K
B
  • Last Post
Replies
2
Views
9K
  • Last Post
Replies
5
Views
4K
  • Last Post
Replies
1
Views
849
Replies
1
Views
1K
F
Replies
1
Views
2K
  • Last Post
Replies
3
Views
2K
Top