Question
Explain cyclotron motion and cyclotron formula.
✓
Answer
Suppose a particle of mass $m$ and charge $q$ enters a region of uniform magnetic field of induction $\vec{B}$. In below figure, $\vec{B}$ points into the page. The magnetic force $\vec{F}_{ m }$ on the particle is always perpendicular to the velocity of the particle, $\vec{v}$. Assuming the charged particle started moving in a plane perpendicular to $\vec{B}_r$ its motion in the magnetic field is a uniform circular motion, with the magnetic force providing the centripetal acceleration.
where $p=m v$ is the linear momentum of the particle. Equation (1) is known as the cyclotron formula because it describes the motion of a particle in a cyclotron-the first of the modern particle accelerators.
where $p=m v$ is the linear momentum of the particle. Equation (1) is known as the cyclotron formula because it describes the motion of a particle in a cyclotron-the first of the modern particle accelerators.
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