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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 any one circumference electron-call it e0. How many other circumference electrons are closer to e0 than the central electron is? (a) Number Units (b) Number Units

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 any one circumference electron-call it e0. How many other circumference electrons are closer to e0 than the central electron is? (a) Number Units (b) Number Units

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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 any one circumference electron-call it e 0 . How many other circumference electrons are closer to e 0 than the central electron is? (a) Number i Units ◻ (b) Number i Units ◻

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