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Let, consider a uniformly charged cylinder (radius R, height H, charge density). Imagine it at the center of the mathematical cube (sides of length L). Compute the flux of the electric field made by the cylinder via the surface of the cube. Explain how would you answer change if H became more than L? What can you state regarding the flux via the top (parallel to the ends of the cylinder) surface, as compared to that via one of the vertical (parallel to the axis of the cylinder) faces; in particular, explain how do they compare as H and R differ in size?

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