PHYS 2220 Midterm: 2014_exf

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Circle your discussion ta: mei hui teh (lcb 215) You may use your four sheets of notes and formulas, but you must not collaborate with any other person. Do all four problems, showing your method and working clearly (a correct answer alone is not necessarily sufficient). Be sure to include correct si units in your answers where appropriate. The radius of sphere 1 is r, and the radius of sphere 2 is 2r, together, the spheres carry a total charge 6q. Assume that the spheres are far enough apart that charge is distributed uniformly over the surface of each. Using subscripts 1 and 2 as needed, find each of the following in terms of q, r, and fundamental constants such as ke, e0i and n: (i) the charges, qi and qa, on the spheres; [6] (ii) the surface charge densities, cti and aa, of the spheres;