All Problems

Electromagnetic Waves. Radiation

Problem 4.214

A particle with charge ee and mass mm flies with non-relativistic velocity vv at a distance bb past a stationary particle with charge q.q . Neglecting the bending of the trajectory of the moving particle, find the energy lost by this particle due to radiation during the total flight time.

Reveal Answer
ΔW1(4πε0)3πe4q23c3m2vb3\Delta W \approx \frac{1}{\left(4 \pi \varepsilon_{0}\right)^{3}} \frac{\pi e^{4} q^{2}}{3 c^{3} m^{2} v b^{3}}