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Re: A Derivation of Faraday's law from Coulomb's Law and Relativity

From ram@zedat.fu-berlin.de (Stefan Ram)
Newsgroups sci.physics
Subject Re: A Derivation of Faraday's law from Coulomb's Law and Relativity
Date 2026-01-20 14:39 +0000
Organization Stefan Ram
Message-ID <Maxwell-20260120153921@ram.dialup.fu-berlin.de> (permalink)
References (3 earlier) <10kcp0i$136ln$1@gwaiyur.mb-net.net> <K-f8k11VFkxPAPBVveS0hTZ0cDE@jntp> <law-20260118194233@ram.dialup.fu-berlin.de> <3eXrYS3JZcZlrNnHe9UCTG693A4@jntp> <coils-20260120140937@ram.dialup.fu-berlin.de>

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ram@zedat.fu-berlin.de (Stefan Ram) wrote or quoted:
>The back-reaction of the second coil on the power follows from Ohm's
>law and Maxwell's equations, but not from Faraday's law alone.

  It may be instructive to say that Maxwell's laws

Gauss's law (electricity): div E = rho / epsilon_0

Gauss's law (magnetism): div B = 0

Faraday's law: curl E = - dB/dt

Ampere-Maxwell law: curl B = mu_0 J + mu_0 epsilon_0 dE/dt

  can be written as just

d F = 0, d *F = J

  after E and B are united to the two-form F (d being the exterior
  differential, * the Hodge dual, and J the current 3-Form).

  Even if one is not familiar with the exterior differential, this
  show the unity of Maxwell's equations. They are just one single
  law. So, this might make it clear that while "Faray's law" was
  found before Maxwell's equations historically, one cannot actually
  just split Faraday's law away and consider it in isolation always.

  (I'm kinda tempted to define an operator "D" as the pairing
  (d,d*) and a pairing j as (0,J) and then write "DF=j". Well,
  you can see it this way, but that's my non-standard notation.)

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A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-14 22:45 +0000
  Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-15 09:20 +0100
    Re: A Derivation of Faraday's law from Coulomb's Law and Relativity x <x@x.net> - 2026-01-15 13:12 -0800
    Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-15 22:20 +0000
      Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-16 08:22 +0100
        Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-16 11:50 +0000
          Re: A Derivation of Faraday's law from Coulomb's Law and Relativity "Paul B. Andersen" <relativity@paulba.no> - 2026-01-16 22:18 +0100
            Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-17 11:58 +0000
          Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-17 15:13 +0100
            Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-17 20:34 +0000
              Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-18 05:28 +0100
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-18 19:11 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-18 23:48 +0100
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-18 23:50 +0100
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-19 20:51 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-19 22:03 +0100
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-20 12:01 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-20 15:08 +0100
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-20 19:43 +0000
            Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-18 04:03 +0100
          Re: A Derivation of Faraday's law from Coulomb's Law and Relativity ram@zedat.fu-berlin.de (Stefan Ram) - 2026-01-18 18:46 +0000
            Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-20 12:16 +0000
              Re: A Derivation of Faraday's law from Coulomb's Law and Relativity ram@zedat.fu-berlin.de (Stefan Ram) - 2026-01-20 13:13 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity ram@zedat.fu-berlin.de (Stefan Ram) - 2026-01-20 14:39 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity ram@zedat.fu-berlin.de (Stefan Ram) - 2026-01-20 15:02 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity ram@zedat.fu-berlin.de (Stefan Ram) - 2026-01-20 15:26 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-20 19:58 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity ram@zedat.fu-berlin.de (Stefan Ram) - 2026-01-20 20:58 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity ram@zedat.fu-berlin.de (Stefan Ram) - 2026-01-20 21:00 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-21 20:27 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity ram@zedat.fu-berlin.de (Stefan Ram) - 2026-01-21 21:20 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-22 13:35 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-23 13:19 +0100
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-24 06:37 +0100
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-24 17:37 +0100
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-26 11:03 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-26 15:12 +0100
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity ram@zedat.fu-berlin.de (Stefan Ram) - 2026-01-22 13:07 +0000
              Re: A Derivation of Faraday's law from Coulomb's Law and Relativity John Hasler <john@sugarbit.com> - 2026-01-20 08:05 -0600
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-20 19:39 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-21 02:12 +0100
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-21 20:21 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-27 22:37 +0100
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-27 22:50 +0100
              Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-20 17:11 +0100
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-20 20:02 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-21 08:28 +0100
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-21 20:09 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-27 22:45 +0100
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-28 19:43 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-29 04:19 +0100
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-29 21:45 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity ram@zedat.fu-berlin.de (Stefan Ram) - 2026-01-29 22:08 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-30 18:32 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity ram@zedat.fu-berlin.de (Stefan Ram) - 2026-01-30 19:04 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-30 19:47 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity John Hasler <john@sugarbit.com> - 2026-01-29 17:11 -0600
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-30 01:19 +0100
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-30 18:09 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-30 01:18 +0100
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-30 18:26 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-30 14:09 +0100
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity ram@zedat.fu-berlin.de (Stefan Ram) - 2026-01-29 11:54 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-29 21:51 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity ram@zedat.fu-berlin.de (Stefan Ram) - 2026-01-29 22:13 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-01-30 01:20 +0100
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-30 18:07 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity ram@zedat.fu-berlin.de (Stefan Ram) - 2026-01-30 18:17 +0000
                Re: A Derivation of Faraday's law from Coulomb's Law and Relativity Kuan Peng <titang78@gmail.com> - 2026-01-30 18:33 +0000

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