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Homework Help: Energy loss in synchrotron accelerators

  1. Mar 7, 2010 #1
    1. The problem statement, all variables and given/known data

    For the LEP, we are given that it is a perfectly circular accelerator with circumference 25 km and that the energy of each beam is 50 GeV. Calculate the energy lost in GeV/s by a single electron on each turn.

    2. Relevant equations
    The loss is given by (4pi/3)*(e^2)*(gamma^4)/radius, and gamma is the ratio of beam energy to the rest mass of the electron.

    3. The attempt at a solution
    First of all, I'm not really sure what to do about that e^2...if we are working in gaussian units, does this equal 1? Secondly, if I simply substitute 50 Gev and .501 MeV/c^2 for energy and mass in gamma, and then take it to the fourth power, I get a huge number that couldn't possibly be the energy loss.

    Basically, I'm confused by what this equation is really saying, so any clarification would be appreciated.

    W. =)
  2. jcsd
  3. Mar 8, 2010 #2
    You might find this page useful http://hyperphysics.phy-astr.gsu.edu/HBASE/Particles/synchrotron.html" [Broken]
    Last edited by a moderator: May 4, 2017
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