All Problems

Electromagnetic Waves. Radiation

Problem 4.215

A non-relativistic proton enters a half-space along the normal to the transverse uniform magnetic field whose induction equals \(B=1.0 \mathrm{~T} .\) Find the ratio of the energy lost by the proton due to radiation during its motion in the field to its initial kinetic energy.

Reveal Answer
ΔW/T=1/3e3B/ε0c3m2=21018\Delta W / T=1 / 3 e^{3} B / \varepsilon_{0} c^{3} m^{2}=2 \cdot 10^{-18}