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Charge moving in cyclotron orbit

  1. May 22, 2009 #1
    1. The problem statement, all variables and given/known data

    The particle moves in a plane perpendicular to the magnetic field direction as shown in the figure. What is omega, the angular frequency of the circular motion?

    Express omega in terms of q, m, and B_0.


    2. Relevant equations
    32439.jpg

    omega=2pi/T

    3. The attempt at a solution

    I found that At a given moment the particle is moving in the +x direction (and the magnetic field is always in the +z direction). If q is positive, the direction of the force on the particle due to the magnetic field is -y direction
     
  2. jcsd
  3. May 22, 2009 #2
    The force on a charged particle in a Magnetic Field B is given by F = q(v X B).

    The force required to accelerate a particle of velocity v in a circular motion is related to the radius of the circular path and the mass of the particle by F=(m*v^2)/r

    Omega can also be expressed as v/r.

    By equating the two forces and playing around a bit i'm sure you'll come out with your answer.
     
  4. May 31, 2009 #3
    can anyone give the Lagrange of the system in plane polar coordinates?
     
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