Understanding Maxwell's Equations and the Role of Charge and Current Conditions

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    Maxwell's equations
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Discussion Overview

The discussion centers around the conditions on charges and currents necessary for Maxwell's Equations, particularly in relation to the displacement current. Participants seek to clarify the theoretical underpinnings and implications of these conditions, with a focus on their application in scenarios such as capacitors connected to an EMF.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants suggest that the continuity equation is a necessary condition for the charges and currents in Maxwell's Equations.
  • There is a discussion about the displacement current, with one participant noting that the curl H Maxwell equation is inconsistent if only a j term is present on the right-hand side (RHS), leading to the need for an additional term related to dD/dt.
  • One participant emphasizes the importance of understanding the displacement current in the context of a capacitor connected to an EMF, questioning whether others are familiar with the boundary conditions associated with electromagnetic phenomena.
  • Another participant expresses frustration with the lack of context provided in the original question, suggesting that the inquirer should attempt to solve the problem independently for a more rewarding experience.

Areas of Agreement / Disagreement

Participants exhibit a mix of agreement on the relevance of the continuity equation and the displacement current, but there is no consensus on the specifics of these conditions or their implications. The discussion remains unresolved with multiple viewpoints presented.

Contextual Notes

Some participants reference the historical context of Maxwell's realization regarding the displacement current and its implications for electromagnetic theory, but the discussion does not resolve the technical details or assumptions involved.

rho11yw00d
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hey i need help explaining this... I am really lost...

What is the further condition on the charges and the currents, which is necessary for the Maxwell Equations? Explain how it relates to the existence of the displacement current.
 
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rho11yw00d said:
hey i need help explaining this... I am really lost...

What is the further condition on the charges and the currents, which is necessary for the Maxwell Equations? Explain how it relates to the existence of the displacement current.

You are really not giving us a lot to go by. It would help if you put in some CONTEXT of your question.

With just that, I'd say it's the continuity equation.

Zz.
 
rho11yw00d said:
hey i need help explaining this... I am really lost...

What is the further condition on the charges and the currents, which is necessary for the Maxwell Equations? Explain how it relates to the existence of the displacement current.

Well do you know what a displacement current is ?
For example, explain this for a capacitor that is connected to an EMF, so that there is a current flowing. Do you know the boundary conditions associated with EM-phenomena ?

In stead of asking questions that YOU should answer, do try to think and solve it for yourself...it is much more rewarding :wink:

marlon
 
yeah this teacher isn't giving me much to work ith here... but I am going to look into what marlon said... thanks! i know i should but i think I am looking too much into the question maybe
 
The curl H Maxwell equation is inconsistent if there is only a j term on the RHS.
This is because divcurl=0, but div j=-d rho/dt. Max realized that an additional term depending on dD/dt had to be added to the RHS. He called this term
"the dispacement current" because Max thought it was due to a displacement of bound charge in the aether. Now we know it is just there in the vacuum.
 
marlon said:
Well do you know what a displacement current is ?
For example, explain this for a capacitor that is connected to an EMF, so that there is a current flowing. Do you know the boundary conditions associated with EM-phenomena ?

In stead of asking questions that YOU should answer, do try to think and solve it for yourself...it is much more rewarding :wink:

marlon


:devil: strange, Marlon wrote once upon a time page after page of useful explanations. :confused:
 

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