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ck99
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Homework Statement
Give expressions for the first and second harmonics of the electron cyclotron frequency.
Homework Equations
Gyration frequency is ωB = (eB) / (mec)
Interval between cyclotron lines is Δv = (eB) / (2∏mec)
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!