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Electric field in moving frame

  1. May 8, 2012 #1
    I'm trying to understand why the x-component of electric field is the same in the rest frame and the frame moving in the x direction. I thought I should just be able to write the force four vector in the rest frame and transform it. Symbols with arrows are four vectors.

    For the charge in its rest frame, just looking at the x-component
    Now I transform to the frame moving with velocity v in the positive x direction
    So, how does that prove that the x-component of x doesn't change? dmc/dt is not zero as far as I can tell.
  2. jcsd
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