Problem 3.381

Up to what values of kinetic energy does the period of revolution of an electron and a proton in a uniform magnetic field exceed that at non-relativistic velocities by \(\eta=1.0 \% \) ?

Reveal Answer

T=\eta m_{0} c^{2}, 5 \mathrm{keV} \text { and } 9 \mathrm{MeV} \text { respectively. }

Motion of Charged Particles in Electric and Magnetic Fields