Tangential component of ElectroStatic Field

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The discussion centers on the continuity of the tangential component of an electric field across a conductor. It emphasizes that the tangential electric field must be zero within a conductor, as any non-zero value would cause electron rearrangement to eliminate the field. The continuity of this tangential component is affirmed for the boundary between two materials, including conductors, where it remains zero on both sides. The inquiry seeks a proof of this continuity without simply stating that the tangential component is zero everywhere. Understanding this principle is crucial in electrostatics and material boundaries.
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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