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Evaluate Gauss law for D = 5r^2/4 i in spherical coordinates with r = 4m and θ = π/2 as volume integral.

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Evaluate Gauss law for D = 5r^2/4 i in spherical coordinates with r = 4m and θ = π/2 as volume integral. (a) 600 (b) 588.9 (c) 577.8 (d) 599.7 I had been asked this question in a job interview. Query is from Volume Integral in portion 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

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Correct choice is (b) 588.9 To elaborate: ∫∫ D.ds = ∫∫∫ Div (D) dv, where RHS needs to be computed. The divergence of D given is, Div(D) = 5r and dv = r^2 sin θ dr dθ dφ. On integrating, r = 0->4, φ = 0->2π and θ = 0->π/4, we get Q = 588.9.

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