How does fringing of electric field help with boundary conditions?

AI Thread Summary
Fringing of electric fields, similar to magnetic fields, plays a crucial role in satisfying boundary conditions. It helps prevent violations of laws such as Ampère's circuital law by ensuring that the line integral of the magnetic field remains consistent with the enclosed current. The discussion highlights the importance of fringing at the edges of parallel plate capacitors, where charge concentration and electric field behavior need to be addressed. Without fringing, discrepancies in the expected values of the fields could arise, leading to theoretical inconsistencies. Understanding these concepts is essential for accurately modeling electromagnetic behavior in various applications.
Shreya
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Homework Statement
I know the fringing of magnetic field avoids the violation of Amperes circuital law. Is there a similar reason for fringing of Electric Fields?
Relevant Equations
-
Please be kind to help
 
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Shreya said:
Homework Statement:: I know the fringing of magnetic field avoids the violation of Amperes circuital law. Is there a similar reason for fringing of Electric Fields?
Relevant Equations:: -

Please be kind to help
Could you give some links to what you are saying about fringing of magnetic fields?

And for the fringing of electric fields, do you mean like at the edges of a parallel plate capacitor?

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https://www.physicsforums.com/threads/how-to-treat-the-ideal-plate-capacitor-more-rigorously.966790/
 
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@Shreya -- can you show the boundary conditions for the geometry that @haruspex posted about magnetic fields at the boundary between high and low ##\mu## interfaces?

And can you extend that to the boundary conditions for charge concentration and the electric field near the edges of a parallel plate capacitor? There are no violations of anything in those situations.
 
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haruspex said:
See Answer 1 at https://physics
That's exactly what I meant. I am sorry. I should have been more elaborate. Thanks Haruspex.
 
berkeman said:
boundary conditions
Could you please explain what you meant by boundary conditions?

In the magnetic situation, the violation of amperes law is avoided due to the presence of fringing. In the situation that @haruspex mentioned, if there were no fringing, then the line integral of B[dot]dl is positive while Current enclosed is 0. Fringing avoids this problem by making the line integral of B[dot]dl go to 0.
 
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