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Energy inside a cyclotron, and the frequency of circular motion

  1. Oct 30, 2012 #1
    1. The problem statement, all variables and given/known data
    One of the first cyclotrons, built in 1932, has D-s with a diameter of 28 cm, and its magnet was capable of producing magnetic field of 1.4 T. What is the maximal energy of the protons accelerated by this cyclotron? What is the frequency of the circular motion?


    2. Relevant equations
    A) Ek = (q2B2R2)/2m
    B) ω = V / r, or qB / m


    3. The attempt at a solution
    A) ((1.602 X 10-19)2 X 1.42T X 0.282m)/(2 X 1.673 X 10-27kg) = 1.1786 X 10-12 J

    B) (1.602 X 10-19 X 1.4T) / 1.673 X 10-27kg = 1.34059 X 108 rad/s

    That make sense to your guys?
     
  2. jcsd
  3. Oct 30, 2012 #2

    gneill

    User Avatar

    Staff: Mentor

    Shouldn't the radius be half of the diameter?
     
  4. Oct 31, 2012 #3
    Oh you're right! Read the problem too fast there!
     
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