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Proving the speed of light is the same in all reference frames using Maxwell's Equati

  1. Feb 24, 2012 #1
    1. The problem statement, all variables and given/known data
    I am trying to figure out a way to prove mathematically that Maxwell's Equations predict that the speed of light is the same in all reference frames, and therefore are consistent with special relativity. I am having a hard time finding what equations to use for the derivation. I am not asking for anyone to solve this for me, I just would like someone to point me in the right direction.


    2. Relevant equations
    I have derived the wave equation through the use of Faraday's and Ampere's Laws, but I don't believe this prove that the wave speed is the same in all reference frames.


    3. The attempt at a solution
    I've derived the wave equation, but I don't believe this proves special relativity. I have tried plugging in the equation for the Lorentz force (b/c it has a velocity term, and I wanted to show that regardless of velocity, it was give out the same speed of light)

    Any help is much appreciated.
     
  2. jcsd
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