Consider a cube of side a with 8 charges (4 with charge +e and 4 with charge -e) at the 8 corners. 67 a + Since there are a total of 8 charges, there are 28 pars. This may seem like a lot of terms to add, but many of the terms are identical. For example, 12 of the pairs are of opposite sign and separated by an edge of the cube (a distance a). Also, 12 of the pairs are of the same sign and separated by a diagonal of one face (a distance √2 a). Finally, 4 of the pairs are of opposite sign and separated by a diagonal of the cube (a distance √3 a). Calculate the total electrostatic potential energy of this configuration by summing over all the pairs of charges. Give your answer as the numerical coefficient of the following expression U= e² Απέρα Give your answer to 4 significant figures, and make sure you include the proper sign.

Consider a cube of side a with 8 charges (4 with charge +e and 4 with charge -e) at the 8 corners. 67 a + Since there are a total of 8 charges, there are 28 pars. This may seem like a lot of terms to add, but many of the terms are identical. For example, 12 of the pairs are of opposite sign and separated by an edge of the cube (a distance a). Also, 12 of the pairs are of the same sign and separated by a diagonal of one face (a distance √2 a). Finally, 4 of the pairs are of opposite sign and separated by a diagonal of the cube (a distance √3 a). Calculate the total electrostatic potential energy of this configuration by summing over all the pairs of charges. Give your answer as the numerical coefficient of the following expression U= e² Απέρα Give your answer to 4 significant figures, and make sure you include the proper sign.

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