Electromagnetic radiation is emitted by accelerating charges. The rate at which energy is emitted from an accelerating charge that has charge q and acceleration a is given by dE/dt=q2a2/6πϵ0c3,
where c is the speed of light.
(a) If a proton with a kinetic energy of 5.0 MeV is travelling in a particle accelerator in a circular orbit with a radius of 0.540 m, what fraction of its energy does it radiate per second?
(b) Consider an electron orbiting with the same speed and radius. What fraction of its energy does it radiate per second?