Question

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 π I had been asked this question in homework. The doubt is from Surface Integral in section Vector Calculus of Electromagnetic Theory Select the correct answer from above options Electromagnetic Theory questions and answers, Electromagnetic Theory questions pdf, Electromagnetic Theory question bank, Electromagnetic Theory questions and answers pdf, mcq on Electromagnetic Theory pdf,electromagnetic theory book pdf,electromagnetic theory pdf notes,electromagnetic theory lecture notes,electromagnetic theory of light,maxwell electromagnetic theory,electromagnetic theory proposed by,electromagnetic theory engineering physics,electromagnetic theory nptel

Answer 1

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.