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Synch/Cyclotron equations help!

  1. Feb 11, 2009 #1
    1. The problem statement, all variables and given/known data

    The formula for cyclotronic motion in SI units was shown to be p=qeBR. Show that in units in which R is in metres but p is in GeV/c p=0.3qBR

    2. Relevant equations

    [tex]qe^{-}=1.6 \times 10^{-19} C[/tex] I think!

    [tex]L=\frac{\hbar \times c}{eV}= 1.9732705 \times 10^{-7} m[/tex] I think!

    [tex]B = 1 eV^{2} = 1.44 \times 10^{-3} Teslas[/tex] I think!



    3. The attempt at a solution

    So, now I get even MORE confused and try substituting stuff in, but don't get anywhere!

    [tex]p = \frac{10^{9}}{1.6 \times 10^{-19} \times 1.97x10^{-7} \times 1.44\times10^{-3}}} = 2.2 \times 10^{37}[/tex]

    or
    [tex]p = \frac{10^{9} \times1.6 \times 10^{-19}}{ 1.97x10^{-7} \times 1.44\times10^{-3}}} = 0.56
    [/tex]
    This is clearly wrong, but I'm just getting COMPLETELY confused by all of this. Can anyone help me please?
     
    Last edited: Feb 11, 2009
  2. jcsd
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