Consider below questions which can be answered simply (simpler than the "brute-force" alternative) by using Gauss's Law and symmetry. a. A point charge q is located at the center of a cube whose sides are of length L. If there are no other charges in this system, what is the electric flux through one face of the cube? Hint for (a) Electric flux through one face of the cube is (Give your answer in terms of given quantities, q, L, and/or physical constants ke or €0. Use underscore ("_") for subscripts and spell out Greek letters.) b. A charge q is placed at one of the corners of a cube of side a, as shown below. Find the magnitude of the electric flux through the shaded face due to q. Assume q > 0. a a First hint for (b) Second hint for (b) Electric flux through the shaded face is

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