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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 13:13 +0000
Organization Stefan Ram
Message-ID <coils-20260120140937@ram.dialup.fu-berlin.de> (permalink)
References (2 earlier) <xbtLhbdp_24gfUGOnl-tnxuLM1A@jntp> <10kcp0i$136ln$1@gwaiyur.mb-net.net> <K-f8k11VFkxPAPBVveS0hTZ0cDE@jntp> <law-20260118194233@ram.dialup.fu-berlin.de> <3eXrYS3JZcZlrNnHe9UCTG693A4@jntp>

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Kuan Peng <titang78@gmail.com> wrote or quoted:
>And there is no law in electromagnetism that defines a “field that 
>pushes back ” . So, we need to correct Faraday’s law or create a new 
>law to define the “field that pushes back ”  

  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.

  The second coil has an emf acting on it by Faraday's law. 
  By Ohm's law a current appears in the second coil. According
  to the Ampere-Maxwell equation (part of Maxwell's equations)

rot B = μ_0 J + μ_0 e_0 dE/dt, 

  a field arises from this current (here you can use the 
  magnetostatic approximation

rot B = μ_0 J

  ). J here is the current in the second coil. 

  A portion of this field creates a magnetic flux through
  the first coil, which leads to an EMF in the first coil
  by Faraday's law, increasing the load on the power supply.

  Unicode:

𝛁 × 𝐁 = μ₀ 𝐉 + μ₀ ϵ₀ ∂𝐄/∂t

𝛁 × 𝐁 = μ₀ 𝐉  (approximation)

  Summary of some laws:

  Faraday's law states that a time-varying magnetic field induces
  a circling electric field.

  The Ampère-Maxwell law states that currents and time-varying
  electric fields produce circling magnetic fields.

  Ohm's law states that the current density through a conductor
  is proportional to the electric field.

  Lenz's law states that an induced current flows in a direction
  such that the magnetic field it produces opposes the change
  in magnetic flux that induced it. It can be derived from
  Faraday's law, the Ampère–Maxwell law, Ohm's law, and the
  conservation of energy (or the Lorentz force law).

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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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