Transition of Electric field and potential between media

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SUMMARY

The discussion focuses on the transition of electric fields and potentials between different media: conductive, dielectric, and combinations thereof. Key boundary conditions established include the continuity of electric potential across interfaces and the discontinuity of the electric field, which is influenced by surface charge density. The inquiry also addresses the behavior of electric fields when transitioning from dielectric to conductive media, particularly when considering a metal as a dielectric with an infinite dielectric constant. Relevant equations and theoretical frameworks are sought to clarify these transitions.

PREREQUISITES
  • Understanding of electric fields and potentials in electromagnetism
  • Familiarity with boundary conditions in electrostatics
  • Knowledge of dielectric materials and their properties
  • Basic grasp of surface charge density concepts
NEXT STEPS
  • Study the boundary conditions for electric fields at dielectric-conductive interfaces
  • Explore Maxwell's equations in the context of material transitions
  • Investigate the implications of infinite dielectric constants in electrostatics
  • Review the mathematical derivation of electric field discontinuities at boundaries
USEFUL FOR

Physicists, electrical engineers, and students studying electromagnetism, particularly those interested in material properties and electric field behavior at boundaries.

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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