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Relativistic Particle in Circular Orbit

  1. Mar 25, 2009 #1
    1. The problem statement, all variables and given/known data
    A particle of charge q and rest mass m0 moves in a circular orbit of radius R and angular frequency w in a uniform magnetic field b in the z direction: Find b in terms of R,q , m0, and w.



    2. Relevant equations
    b = (1/c) v X e and v = w/R and e = not sure. My problem is that all of my equations for e have a gamma factor (lorentz factor) in them, and I don't think i need that. So I think I am using the wrong equations.



    3. The attempt at a solution
    I got that v = w/R
    and if I do indeed use gamma i have gamma(u) = (1-w^2R^2/c^2)^-(1/2)
     
  2. jcsd
  3. Mar 25, 2009 #2

    tiny-tim

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    Hi SpaceTrekkie! :smile:

    (have an omega: ω Ω and a gamma: γ and try using the X2 tag just above the Reply box :wink:)
    erm :redface: … look at the dimensions …

    v = L/T, R = L, ω = 1/T: v = ωR :rolleyes:

    use good ol' Newton's second law … force = mass times centripetal acceleration :smile:
     
  4. Mar 25, 2009 #3
    ooo ok, I was missing the part about that it will equation to F=ma. Ahh I feel dumb now. Thanks for your help!!
     
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