# Relationship between $\vec E$,$\vec P$,$\vec D$ inside a dielectric material

If we put a dielectric material in region where an electric field $$\vec E_0$$ is present then, the fields that are present within the dielectric are: $$\vec E$$,$$\vec P$$,$$\vec D$$ .

$$\vec E$$ is the electric field, which generated from the bound and free charges within the dielectric. I didn't know that in a dielectric we can have free charges but apparently we do.

$$\vec P$$ is the polarisation field generated from the electric dipoles within the dielectric.

$$\vec D$$ is the dielectric field, and it's a result of the free charges within the material.

If we also consider the external electric field $$\vec E_0$$, I want to know how all these 4 fields are related to each other and how are they oriented, in the simple case of a 1D representation, example: Dielectric between 2 conductive plates.

• Any undergraduate physics electromagnetic text should have a good description for the definition of these fields and how they are related. Wikipedia has a summary: en.wikipedia.org/wiki/Electric_displacement_field Nov 10 '21 at 7:28