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2. (20 points total). In a medium with dielectric constant 8 = 3, approximately corresponding to the interior of a protein, find the energy of

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2. (20 points total). In a medium with dielectric constant 8 = 3, approximately corresponding to the interior of a protein, find the energy of interaction for: a) (5 points) Four charges with alternating signs te and -e arranged in a square array, with each side having length 3.9 A: e te b) (5 points) Four charges in a line separated by 3.9 A, with alternating values of +e ande: +e e te e c) (2 points) Are the energy values in a) and b) favorable or unfavorable to these configurations? Explain your answer. d) (4 points) At T - 300 K, compute the relative probability, p(configuration) p(apart), for finding the charges in configuration a); configuration b). e) (4 points) Is the interaction energy large enough to stabilize configuration a) against thermal fluctuations at T - 300 K? Is the interaction energy large enough to stabilize configuration b)? Explain your

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