Why do We Get a Magnetic Field Around Current Carrying Conductor?

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Discussion Overview

The discussion revolves around the question of why a magnetic field is generated around a current-carrying conductor. Participants explore theoretical, philosophical, and mathematical aspects of this phenomenon, including references to Maxwell's equations and gauge symmetry.

Discussion Character

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

Main Points Raised

  • Some participants express doubt about the existence of a definitive explanation for why a magnetic field surrounds a current-carrying conductor, suggesting that observations and experiments are the basis for this understanding.
  • Others argue that while Maxwell's equations describe the relationship between electric and magnetic fields, the underlying reasons for these equations are philosophical rather than physical.
  • A participant mentions that the interaction of electric and magnetic fields can be understood by breaking them into parallel and perpendicular components.
  • There is a discussion about the implications of gauge symmetry, with some participants noting that it leads to the interaction term in the Lagrangian, which is connected to Maxwell's equations.
  • Another participant questions the nature of the inquiry, suggesting a distinction between asking "why" and "how" regarding the magnetic field's generation.
  • Some participants reflect on the historical context of Maxwell and Faraday, pondering how they might view modern theories like relativity or string theory.
  • One participant humorously suggests a divine explanation for the existence of the magnetic field, indicating a light-hearted approach to the discussion.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the nature of the question regarding the magnetic field. There are multiple competing views on whether the inquiry is a scientific or philosophical one, and the discussion remains unresolved regarding the fundamental reasons behind the magnetic field's existence.

Contextual Notes

Participants acknowledge the limitations of their understanding and the complexity of the topic, with some expressing uncertainty about the details of gauge symmetry and its implications for Maxwell's equations.

doniv
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i have a doubt as to why we get a magnetic field around a current carrying conductor.
 
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good for you,.. any specifics
 
i do not think there is any proof or description of WHY there is magnetic field. the Maxwell's equation is sort of "axiomic" (at least as far as my limited knowledge goes)... magnetic field exists near a current carrying conductor simply "because" when you put a compass near it, the compass changes direction. So according to experiments, magnetic field exists... (well, many times physics is just non-contradicting theories that correctly approximate experiments. sometimes, there just aren't derivations or explanations)
 
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Your "why" is not a question addressed by Physics. We observe a magnetic field surrounding a conductor. Maxwell worked out the mathematics which describe the phenomena. We can use the mathematics to make predictions. That is physics. Why it is so is philosophy.
 
I respond by stating that an electric field has a physical extent and if that field crosses another field they must interact. The interaction of these fields might be such that it is easier for someone to understand if they break the interactions into parellel and perpendicular components that they label with different names such as electric and magnetic fields
 
Thanks for the answers...
 
hi, i am new to this forum.
well in physics there are some conjugate processes. just as the change in magnetic flux passing through a coil generates electric field as given by FARADAY'S LAW. so the movement of electric charge generates magnetic field. well there is no explanation of the same. but MAXWELL'S equations provide a handsome explanation of the mathematics of relationship between electric and magnetic fields.
 
i have a doubt as to why we get a magnetic field around a current carrying conductor.


Your "why" is not a question addressed by Physics. We observe a magnetic field surrounding a conductor. Maxwell worked out the mathematics which describe the phenomena. We can use the mathematics to make predictions. That is physics. Why it is so is philosophy.



Do you mean the the question should have been:

"i have a doubt as to how we get a magnetic field around a current carrying conductor."

to be a physics question?


or either question is and should be in philosophy?
 
doniv said:
why we get a magnetic field around a current carrying conductor.

It's because of Maxwell's equations for the electric and magnetic field, in particular the one that relates the curl of the magnetic field to the current density.

This begs the question, "why are Maxwell's equations the way they are?"

It's because the universe apparently obeys a local U(1) gauge symmetry.

This begs the further question, "why does the universe obey a local U(1) gauge symmetry?"

To that, nobody has an answer yet, as far as I know. :rolleyes:
 
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  • #10
This begs the question, "why are Maxwell's equations the way they are?"

Are you thinking--'Why did Maxwell write them the way he did?'

or--maybe something else??

------------------

I wonder what Maxwell or Faraday would think about relativity or string theory?
 
  • #11
jtbell said:
It's because the universe apparently obeys a local U(1) gauge symmetry.

Doesn't the gauge symmetry only give rise to the interaction term [itex]j^\mu A_\mu[/itex] in the Lagrangian?
 
  • #12
Isn't that term in the Lagrangian what gives rise to Maxwell's equations, via the "equations of motion" of the [itex]A_\mu[/itex] fields, and the definition of [itex]\vec E[/itex] and [itex]\vec B[/itex] in terms of [itex]A_\mu[/itex]? At least that's the way I remember the general idea. It's been a long time since I've seen or worked through the details.
 
  • #13
I believe the equations of motion arise from varying [itex]F^{\mu\nu}F_{\mu\nu}[/itex] with respect to the [itex]A_\mu[/itex].

Imposing a local gauge symmetry of U(1) then gives rise to the [itex]j^\mu A_\mu[/itex] term, thus showing how the source couples to the field.

I say this all on the basis of if I remember correctly; I'm sure someone could confirm this or tell me that I am wrong.
 
  • #14
masudr said:
I believe the equations of motion arise from varying [itex]F^{\mu\nu}F_{\mu\nu}[/itex] with respect to the [itex]A_\mu[/itex].

Imposing a local gauge symmetry of U(1) then gives rise to the [itex]j^\mu A_\mu[/itex] term, thus showing how the source couples to the field.

I say this all on the basis of if I remember correctly; I'm sure someone could confirm this or tell me that I am wrong.

I think this is a little more sophisticated of an answer than the OP was looking for...
 
  • #15
doniv said:
i have a doubt as to why we get a magnetic field around a current carrying conductor.
And God said :"Let there be a magnetic field around a current carrying conductor."o:)
 

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