A positive charge q is fired head on at a distant positive charge Q (which is held stationary), with an initial velocity v 0 It comes in, decelerates to v 0, and returns out to infinity What fraction of its initial energy (1 2mv 2 0 ) is radiated away Assume v 0 ...

The fraction of energy radiated away is equal to the ratio of the work don ...

A positive charge q is fired head-on at a distant positive charge Q (which is held stationary),

Question:

A positive charge q is fired head-on at a distant positive charge Q (which is held stationary), with an initial velocity v₀. It comes in, decelerates to v = 0, and returns out to infinity. What fraction of its initial energy (1/2mv²₀) is radiated away? Assume v₀ <<c, and that you can safely ignore the effect of radiative losses on the motion of the particle.

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