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Evaluate Gauss law for D = 5r^2/4 i in spherical coordinates with r = 4m and θ = π/2.(a) 600(b) 599.8(c) 588.9(d) 577.8This question was addressed to me during an interview.This question is from Surface Integral topic in section Vector Calculus of Electromagnetic Theory

Answer»

The correct choice is (c) 588.9

To explain: ∫∫ ( 5r^2/4) . (R^2 sin θ dθ dφ), which is the INTEGRAL to be evaluated.

Put r = 4m and SUBSTITUTE θ = 0→ π/4 and φ = 0→ 2π, the integral EVALUATES to 588.9.



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