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   sci.electronics.design      Electronic circuit design      143,326 messages   

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   Message 142,654 of 143,326   
   Stefan Ram to john larkin   
   Re: energy and mass   
   11 Feb 26 19:17:50   
   
   From: ram@zedat.fu-berlin.de   
      
   john larkin  wrote or quoted:   
   >On Wed, 11 Feb 2026 15:23:04 +0100, Thomas 'PointedEars' Lahn   
   > wrote:   
   . . .   
   >>           A changing electric field induces a magnetic field, and a   
   >>changing magnetic field induces an electric field:   
   >Can that be done with e-field spherical symmetry? How would the H   
   >field know which direction to point?   
      
     The E field of a charging or discharging spherical capacitor   
     should be a spherically symmetrical E field that is changing.   
      
     We assume that a symmetrical setup does not suddenly create   
     forces that break this symmetry (as long as we are not dealing   
     with interactions with the weak force).   
      
     If there would be a magnetic field, it can't have a transversal   
     direction anywhere one a sphere with the same center as the   
     capacitor for that symmetry reason. It also cannot have a radial   
     component because for symmetry such a radial component must be   
     the same everyone and by Gauss' law the magnetic flux through any   
     closed surface must be zero.   
      
     (The above used a 2024 text by Ján Lalinský.)   
      
     I (Stefan) think each changing electric field line creates a   
     rotating magnetic field and at every point there are as many such   
     fields in one direction as in the other, so they all cancel.   
      
     LPZ gave a kind of abstract answer: Due to symmetry, the   
     problem is essentially one-dimensional, and 1-D electrodynamics   
     does not have magnetic fields . . .   
      
   Newsgroups: sci.electronics.design   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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