How can Maxwell's equations be used to derive electromagnetic wave phenomenon?

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Discussion Overview

The discussion revolves around the relationship between the electric and magnetic fields in electromagnetic waves, specifically questioning their phase relationship and seeking mathematical derivations from Maxwell's equations. The scope includes theoretical and mathematical reasoning related to electromagnetic wave phenomena.

Discussion Character

  • Exploratory
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant questions why the electric field and magnetic field in an electromagnetic wave are in phase, expressing an expectation that they might be out of phase.
  • Another participant challenges the assumption that the fields are in phase, prompting further clarification.
  • A subsequent reply acknowledges the possibility that the fields may not be in phase and requests mathematical clarification.
  • One participant reiterates a request for mathematical derivations of electromagnetic wave phenomena from Maxwell's equations, providing a link to an external resource.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on whether the electric and magnetic fields are in phase, indicating a disagreement on this aspect of electromagnetic wave theory.

Contextual Notes

The discussion reflects uncertainty regarding the phase relationship of the electric and magnetic fields, with no definitive mathematical derivation provided within the thread itself.

Gear300
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For an electromagnetic wave, why is the electric field in phase with the magnetic field? As one increases in a given positive direction, so does the other (also in a given positive direction). I was somewhat expecting them to be slightly out of phase for some reason.

If its not too much to ask...can anyone provide a post showing the mathematics for deriving electromagnetic wave phenomenon from Maxwell's equations...sort of looking for them
 
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who says they are in phase?
 
I see...so they are not necessarily in phase...could you clarify (or provide the math)?
 
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