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Electric field in special relativity

  1. Apr 15, 2013 #1
    Hello,
    1. The problem statement, all variables and given/known data

    A charge q is at rest in frame O. In O' with velocity βc in x direction, at t'=0 the charge is at the origine O' and produce an electric field E' at position r'=(x',y',z') :
    E'=γ*q*(x',y',z')/(4πεo*γ²(x'²+y'²+z'²)3/2)
    If θ is the angle between r' and x, show that:
    E'=q*r'/(4πεo*γ²*r'²(1-βsin²θ)*r')


    2. Relevant equations



    3. The attempt at a solution
    I'm blocking at this step :
    E'=q*r'/(4πεo*γ²*(x'²+(y'²+z'²)/γ²)^3/2)
    sinθ=y'/r' but I can't find a way to find the asked formula, I think that there's something that i'm missing but don't know what.
    Thanks
     
  2. jcsd
  3. Apr 16, 2013 #2
    Solved.
     
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