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Compute the Gauss law for D= 10ρ^3/4 i, in cylindrical coordinates with ρ= 4m, z=0 and z=5.(a) 6100 π(b) 6200 π(c) 6300 π(d) 6400 πI had been asked this question in homework.The doubt is from Surface Integral in section Vector Calculus of Electromagnetic Theory

Answer»

Right choice is (d) 6400 π

Explanation: ∫∫ D.ds = ∫∫ (10ρ^3/4).(ρ dφ dz), which is the integral to be EVALUATED. PUT ρ = 4M, z = 0→5 and φ = 0→2π, the integral EVALUATES to 6400π.



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