College Physics III – Thermodynamics, Electricity, and Magnetism
Definition
A cyclotron is a type of particle accelerator that uses perpendicular electric and magnetic fields to accelerate charged particles in a spiral path. It is commonly used in physics research and medical applications.
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Cyclotrons use a combination of electric fields to accelerate particles and magnetic fields to bend their paths into a circular trajectory.
The frequency of the oscillating electric field must match the cyclotron resonance condition for efficient acceleration.
The kinetic energy of the particles increases with each pass through the accelerating region, leading to higher speeds and energies.
Dee-shaped electrodes, called 'dees', are used within the cyclotron to create regions of accelerating electric field.
Cyclotrons have limitations on the maximum energy they can impart due to relativistic effects, which cause particles' mass to increase at high velocities.
Review Questions
What are the roles of electric and magnetic fields in a cyclotron?
Why is it necessary for the oscillating electric field's frequency to match the cyclotron resonance condition?
The force experienced by a charged particle moving through an electric and magnetic field, given by $\mathbf{F} = q(\mathbf{E} + \mathbf{v} \times \mathbf{B})$.