The magnetic force on a particle of charge q, moving with velocity v due to a uniform magnetic field B is given by, The theory of cyclotron is based on the interaction of a charged particle with electric and magnetic fields. The frequency of the alternating voltage is matched with the cyclotron frequency for the charged particle and generally, it is kept constant.įrequency of Rotation of a Charged Particle in a Uniform Magnetic Field The electric field is generated by a high-frequency alternating voltage. The magnetic field causes the particle to make rotations and the electric field accelerates the particle after each rotation. The charged particle is inserted in a cyclotron such that its direction of motion is perpendicular to the static magnetic field. In a cyclotron, a charged particle is accelerated along a spiral path under the action of a static magnetic field and an alternating electric field. A cyclotron is a kind of circular particle accelerator.
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