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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) 599.7I had been asked this question in a job interview.Query is from Volume Integral in portion Vector Calculus of Electromagnetic Theory

Answer»

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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