Sphere with dipole in a dialectric

[alejandrito29]

Homework Statement

Evaluate the electric field of a hollow sphere with a dipolo , in a dialectric. See left figure..

Homework Equations

$$\alpha \vec{p}$$

The Attempt at a Solution

I don't understad why at the field electric "in" there is a term of form $$\alpha \vec{p}$$ , and term $$\beta$$ "out.

I thinking that the dialectric is polarized and create a field electric as the right figure, but i don't sure...

 

[Loonuh]

Hello, do you know what alpha and beta are expected to be? Also, is there a charge distribution inside the sphere? I suppose not if it says that the sphere is hollow. I think that you might find this useful to explain the extra term: http://www.physicspages.com/2012/04/02/electric-field-of-a-dipole/