(Solution) - a Suppose an electron decelerated at a constant rate a -(2025 Original AI-Free Solution)

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(a) Suppose an electron decelerated at a constant rate a from some initial velocity v0 down to zero. What fraction of its initial kinetic energy is lost to radiation? (The rest is absorbed by whatever mechanism keeps the acceleration constant.) Assume v0 << c so that the Larmor formula can be used.
(b) To get a sense of the numbers involved, suppose the initial velocity is thermal (around 105 m/s) and the distance the electron goes is 30 A. What can you conclude about radiation losses for the electrons in an ordinary conductor?