Transition of Electric field and potential between media

AI Thread Summary
The discussion focuses on the transition of electric fields and potentials between different media, specifically conductive and dielectric materials. Key boundary conditions include the continuity of electric potential across interfaces and the change in electric field strength, which is influenced by surface charge density. When transitioning from dielectric to dielectric, the potential remains continuous, while the electric field experiences a discontinuity proportional to surface charge. In the case of a metal treated as a dielectric with an infinite dielectric constant, the electric field inside the metal approaches zero, leading to unique boundary conditions. Overall, understanding these transitions is crucial for applications in electromagnetic theory and material science.
Gavroy
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I am interested in the main difference between transitions from electric fields from Conductive to Conductive/ Dielectric to Dielectric and Dielectric/Conductive media.

What are the boundary conditions that an Electric field and a potential has to fulfill?
I think I only know it for dielectric to dielectric media, where the potential has to be continuous and the electric field changes by the amount of surface charge.

Could somebody comment on the behavior and maybe use or refer to some equations?
 
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Take the metal as a dielectric whose dielectric constant approaches infinity. What boundary conditions do you get in this limit?
 

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