Point dipole embedded in dielectric sphere

  • Thread starter erogard
  • Start date
  • #1
62
0

Homework Statement



A point dipole p is embedded at the center of a sphere of linear dielectric material (with radius R and dielectric constant [tex] \epsilon_{r} [/tex]). Find the electric potential inside and outside the sphere.


Homework Equations


Well I'm guessing that using the method of separation of variables might be appropriate - my concern is to determine what "produces" the resulting potential. I would consider the embedded dipole as a free charge and go from there, but not sure what the resulting polarization might be.
Also: [tex] \rho_{b} = - ( \frac{ \chi_{e} }{1+\chi_{e} } ) \rho_{f} [/tex]
Bound charge density is proportional to free charge density (here the embedded dipole).

The Attempt at a Solution



I know how to proceed once I get my boundary conditions set up; but that's my problem at the moment. Any hint would be greatly appreciated.
 

Answers and Replies

  • #2
1
0
Potential due to dipole + that of polarization?
 

Related Threads on Point dipole embedded in dielectric sphere

  • Last Post
Replies
1
Views
5K
Replies
1
Views
6K
  • Last Post
Replies
1
Views
3K
Replies
1
Views
1K
  • Last Post
Replies
2
Views
3K
Replies
6
Views
7K
Replies
3
Views
1K
  • Last Post
Replies
2
Views
1K
Top