All Problems

Electromagnetic Waves. Radiation

Problem 4.214

A particle with charge \(e\) and mass \(m\) flies with non-relativistic velocity \(v\) at a distance \(b\) past a stationary particle with charge \(q .\) 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
ΔW≈1(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}}
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