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Find first and second harmonics of the electron cyclotron frequency.

  1. Apr 16, 2013 #1
    1. The problem statement, all variables and given/known data

    Give expressions for the first and second harmonics of the electron cyclotron frequency.

    2. Relevant equations

    Gyration frequency is ωB = (eB) / (mec)

    Interval between cyclotron lines is Δv = (eB) / (2∏mec)

    3. The attempt at a solution

    I think that (although my equations use ω and v) they are both talking about the same thing, eg that emission frequency v is identical in value to gyration frequency ωB. Is that correct?

    If am right here, I can just say that:

    fundamental frequency v1 = (eB) / (mec)

    second harmonic frequency v2 = v1 + Δv

    so v2 = [ (eB) / (mec) ] + [(eB) / (2∏mec)]

    v2 = [1 + 1/(2∏)] [ (eB) / (mec) ]

    This is probably a really simple question but I am struggling with this course and doubting my answers to everything!
     
  2. jcsd
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