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Homework Help: Writing the Faraday tensor for a particle in an E field

  1. Apr 26, 2010 #1
    1. The problem statement, all variables and given/known data

    A particle of charge q and mass m is travelling in the lab with velocity v in the x direction when it encounters a constant E-field in the y direction. State the non zero components of the Faraday tensor in the rest frame of the lab.


    3. The attempt at a solution

    I said
    [tex]E=E_{x}i + E_{y}j + E_{z}k[/tex]
    As the field is in the y direction
    [tex]E=E_{y}j[/tex]

    Thus I believe the faraday tensot to have 2 non-zero components.
    [tex]F^{02}=-E_{y}[/tex] and [tex]F^{20}=+E_{y}[/tex]

    This does not seem right as the next part of the question asks for the equations of motion for the particle which I get out as a load of 0's.

    Am I missing a magnetic component, and if so, how do I get it?

    Regards
     
    Last edited: Apr 26, 2010
  2. jcsd
  3. Apr 26, 2010 #2
    Don't replace Ey with F01 + F10, if that's what your doing.
     
  4. Apr 26, 2010 #3
    just realised i got the indicies wrong. Now the original post is correct.
     
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