doniv
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i have a doubt as to why we get a magnetic field around a current carrying conductor.
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.
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.
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 said:why we get a magnetic field around a current carrying conductor.
jtbell said:It's because the universe apparently obeys a local U(1) gauge symmetry.
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.
And God said :"Let there be a magnetic field around a current carrying conductor."doniv said:i have a doubt as to why we get a magnetic field around a current carrying conductor.
