How does fringing of electric field help with boundary conditions?

In summary, the fringing of magnetic fields prevents the violation of Amperes circuital law. Similarly, the presence of fringing in electric fields, such as at the edges of a parallel plate capacitor, also avoids any violations of relevant equations. This is due to the boundary conditions set by the geometry, which ensure that the line integral of B[dot]dl or the charge concentration is not in conflict with the enclosed current or electric field.
  • #1
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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  • #2
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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  • #6
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.
 
  • #7
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.
 

FAQ: How does fringing of electric field help with boundary conditions?

What is fringing of electric field?

Fringing of electric field refers to the phenomenon where the electric field lines extend beyond the edges of a charged object. This occurs because the electric field lines are continuous and do not abruptly end at the surface of the object.

How does fringing of electric field affect the electric field strength?

Fringing of electric field can decrease the electric field strength near the edges of the charged object. This is because the electric field lines are spread out over a larger area, resulting in a weaker field compared to the center of the object.

Can fringing of electric field be observed in real life?

Yes, fringing of electric field can be observed in real life. For example, if you rub a balloon on your hair and then hold it near a small piece of paper, you will see the paper being attracted to the balloon due to the fringing of electric field.

How does the shape of a charged object affect fringing of electric field?

The shape of a charged object can greatly affect the fringing of electric field. Objects with sharp edges or corners will have a stronger fringing effect compared to objects with smooth, rounded edges.

Is fringing of electric field important in practical applications?

Yes, fringing of electric field is important in practical applications such as designing electronic circuits and antennas. Engineers must take into account the fringing effect when designing these systems to ensure they function properly.

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