Electrostatic Potential in Dielectric Medium

[fuchini]

Homework Statement

I need to find the green function for a dielectric sphere ($\epsilon_1$) inside another dielectric medium ($\epsilon_2$) using the method of images.

Homework Equations

In gaussian units I have: $$\phi=\frac{q}{\epsilon|r-r1|}$$

The Attempt at a Solution

Due to the symmetry of the problem, the image charge would be located in the axis between the charge and the sphere's center. I don't know what would the boundary conditions be.

 

[stevendaryl]

Homework Statement

I need to find the green function for a dielectric sphere ($\epsilon_1$) inside another dielectric medium ($\epsilon_2$) using the method of images.

Homework Equations

In gaussian units I have: $$\phi=\frac{q}{\epsilon|r-r1|}$$

The Attempt at a Solution

Due to the symmetry of the problem, the image charge would be located in the axis between the charge and the sphere's center. I don't know what would the boundary conditions be.

Here's a web page that explains the boundary conditions across a dielectric:
http://www.ittc.ku.edu/~jstiles/220/handouts/Dielectric Boundary Conditions.pdf