Answer: Suppose N electrons can be placed in either of two

Chapter , Problem 61

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Suppose N electrons can be placed in either of two configurations. In configuration 1, they are all placed on the circumference of a narrow ring of radius R and are uniformly distributed so that the distance between adjacent electrons is the same everywhere. In configuration 2, N - 1 electrons are uniformly distributed on the ring and one electron is placed in the center of the ring. (a) What is the smallest value of N for which the second configuration is less energetic than the first? (b) For that value of N, consider anyone circumference electron-call it eo. How many other circumference electrons are closer to eo than the central electron is?

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