Compute divergence theorem for D= 5r^2/4 i in spherical coordinates between r=1 and r=2.(a) 80π(b) 5π(c) 75π(d) 85πI got this question by my college director while I was bunking the class.My doubt is from Surface Integral topic in chapter Vector Calculus of Electromagnetic Theory

Compute divergence theorem for D= 5r^2/4 i in spherical coordinates be

1.	Compute divergence theorem for D= 5r^2/4 i in spherical coordinates between r=1 and r=2.(a) 80π(b) 5π(c) 75π(d) 85πI got this question by my college director while I was bunking the class.My doubt is from Surface Integral topic in chapter Vector Calculus of Electromagnetic Theory
Answer» The correct answer is (c) 75π To elaborate: ∫∫ ( 5r^2/4) . (r^2 sin θ dθ dφ), which is the integral to be EVALUATED. SINCE it is double integral, we need to keep only two variables and one constant compulsorily. Evaluate it as two integrals KEEPING r = 1 for the first integral and r = 2 for the second integral, with φ = 0→2π and θ = 0→ π. The first integral value is 80π, whereas second integral GIVES -5π. On summing both integrals, we get 75π.

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Compute divergence theorem for D= 5r^2/4 i in spherical coordinates between r=1 and r=2.(a) 80π(b) 5π(c) 75π(d) 85πI got this question by my college director while I was bunking the class.My doubt is from Surface Integral topic in chapter Vector Calculus of Electromagnetic Theory

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