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Proof for E (r) = ρr / (2ε0). No calculations. Let be a cylindrical rod of...

Proof for E (r) = ρr / (2ε0). No calculations. 

Let be a cylindrical rod of radius R and infinitely long carrying a uniform charge and a volume density of ρ. Using Gauss's theorem, show that the modulus of the electric field has a distance r from the cylinder axis is given by E (r) = ρr / (2ε0).
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