Tangential component of ElectroStatic Field

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Discussion Overview

The discussion revolves around the problem of demonstrating the continuity of the tangential component of an electric field across the boundary of a conductor. Participants explore the implications of this continuity in the context of electrostatics and the behavior of electric fields in conductors.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant expresses confusion about the problem's requirements and seeks clarification on how to prove the continuity of the tangential electric field component.
  • Another participant suggests that the tangential component of the electric field in a conductor must be zero, as electrons rearrange to eliminate any tangential field, implying continuity by virtue of being zero everywhere.
  • A third participant references a source that states the continuity of the tangential component applies to the boundary of any two materials, noting that in the case of a conductor, the tangential component is zero on both sides of the boundary.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the specific proof required for the continuity of the tangential electric field component, and there are differing interpretations of what the problem is asking.

Contextual Notes

The discussion does not resolve the mathematical steps or the specific definitions of continuity being applied in this context.

abhs94
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There is the problem which i haven't been able to understand:

"Show that the tangential component of an electric field is continuous from one side of a conductor to the other"

What exactly is asked and how to prove it?

Thanks!
 
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Well, I'm not sure what its asking for exactly but the tangential component of the e-field in a conductor must be zero. If not, the electrons in the conductor rearrange themselves to make it zero. The fact that its zero everywhere means that it is continuous obviously. But perhaps they want a proof of this fact in some way which proves continuity without showing that its zero everywhere?
 
Last edited:
abhs94 said:
There is the problem which i haven't been able to understand:

"Show that the tangential component of an electric field is continuous from one side of a conductor to the other"

What exactly is asked and how to prove it?

Thanks!


Hi abhs94,

see this http://farside.ph.utexas.edu/teaching/em/lectures/node59.html

The continuity of tangential component of an electrostatic field is true for the boundary of any two materials. In a special case when one side of the boundary is conductor, on both sides, the tangential component is zero ( and of course still continuous ).
 
Thanks a lot for that!
 

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