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eng.phy

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im new at electromagnetics and vector calculus, so facing these trivial problems. The differential form of gauss's law for empty space states ∇E = ρ/ε .The right side refers to charge density at the point of calculation of divergence? If a point charge(or a small uniformly charged sphere) is placed at (0,0) then the divergence at position vector r comes out positive( k/r). But charge density at that point is 0?