A non-relativistic cyclotron has dee radius R and magnetic field B. What is the maximum kinetic energy of a particle of mass m and charge magnitude |q|?
Options

Question

A non-relativistic cyclotron has dee radius R and magnetic field B. What is the maximum kinetic energy of a particle of mass m and charge magnitude |q|?

G1 Physics · Accepted Answer

At the outer radius, p=|q|BR. Thus K=p²/(2m)=q²B²R²/(2m).