Faraday's Principal of induction

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Discussion Overview

The discussion revolves around the relationship between electric (E) and magnetic (B) fields in electromagnetic waves, specifically in the context of Faraday's Principle of induction. Participants explore the phase relationship of these fields and how it relates to their propagation and the solutions of Maxwell's equations.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Mike questions the phase relationship of E and B fields in photons, noting conflicting information about whether they are in phase or out of phase according to Faraday's Principle of induction.
  • Another participant states that in plane electromagnetic waves, E and B fields are perpendicular to each other and to the direction of propagation, suggesting that the concept of being in phase may not apply in the same way.
  • Mike seeks further clarification on why the phase relationship exists as described.
  • Reilly Atkinson explains that E and B fields are temporally in phase but spatially out of phase due to the transverse nature of the waves, and mentions the importance of polarization in understanding these concepts.
  • A later reply reflects on a previous discussion about the topic, indicating that the explanation provided by Reilly has clarified some aspects for them.

Areas of Agreement / Disagreement

Participants express differing views on the phase relationship of E and B fields, with some asserting they are in phase temporally while others question the applicability of this concept in the context discussed. The discussion remains unresolved regarding the implications of Faraday's Principle in this context.

Contextual Notes

There is a lack of consensus on the interpretation of phase relationships in electromagnetic waves, and the discussion references foundational concepts in electromagnetic theory that may require further exploration for clarity.

mcaxiak
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Okay, I've been told that the E and B fields in photons are out of phase, I've been told that they are in-phase.
If you just look at Faraday's Principal of induction, it follows that they are out of phase, but I've been told that when they are propagating they are not.
Why the difference? How should a system of four equations have another answer that the induction law does not allow?

Cheers,
Mike
 
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As I remember, the E and B fields of plane electromagnetic waves are perpendicular to each other and perpendicular to the direction of propagation. I'm not sure you can talk about in phase and out of phase in these conditions. Their mins and maxes do occur at the same point along the direction of propagation.
 
Yes, but why?
 
This is pretty basic stuff, covered in most intermediate and advanced texts on E&M. It is all about solving the Maxwell Eqs with plane waves. Because of the transverse nature of the waves, there are two spatially independent solutions given any propegation direction. E and B are temporarally in phase, and 90 degrees out of phase spatially. All of this is subsumed under the concept of polarization -- worth reading about.

Regards,
Reilly Atkinson
 
Hehe, I posted a question about this a couple of months ago and it turned into a rather involved thread. And I never really felt as though I had a satisfactory picture of it... but the way reilly just phrased it is a good explanation and sheds a lot of light on the matter :biggrin:
 

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