Introduction to Electrodynamics · Problem 11.33

Electrodynamics and Relativity — David J. Griffiths

Physics · radiation-reaction

Problem

(a) Find the radiation reaction force on a particle moving with arbitrary velocity in a straight line, by reconstructing the argument in Sect. 11.2.3 without assuming v(tr)=0v(t_r) = 0. [Answer: (μ0q2γ4/6πc)(a˙+3γ2a2v/c2)(\mu_0 q^2 \gamma^4/6\pi c)(\dot{a} + 3\gamma^2 a^2 v/c^2)] (b) Show that this result is consistent (in the sense of Eq. 11.78) with the power radiated by such a particle (Eq. 11.75).

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