Continuity Conditions for the tangential components of a static electric field E

[bmarson123]

Homework Statement

Consider a boundary between two dielectric media with dielectric constants $\epsilon$₁ and $\epsilon$₂ respectively. The boundary carries a surface charge density $\sigma$. Use appropriate integral forms of Maxwell equations and an illustrative sketch to derive continuity conditions for the tangential components of a static electric field E


I think I know what to do, but, when it says the tangential components of a static electric field, it confuses me. The only thing I can find anything on relating to the electric field is that the E field is continuous when you consider the components of the field parallel to the boundary.

Am I just being stupid?

 

[kuruman]

The only thing I can find anything on relating to the electric field is that the E field is continuous when you consider the components of the field parallel to

Which is one of the boundary conditions that you are asked to derive starting from Maxwell's equations (in integral form). Do you know how to do it?