Question

Find the charged enclosed by a sphere of charge density ρ and radius a. (a) ρ (4πa^2) (b) ρ(4πa^3/3) (c) ρ(2πa^2) (d) ρ(2πa^3/3) I had been asked this question in a job interview. I would like to ask this question from Volume Integral topic in chapter 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

The correct option is (b) ρ(4πa^3/3) To explain: The charge enclosed by the sphere is Q = ∫∫∫ ρ dv. Where, dv = r^2 sin θ dr dθ dφ and on integrating with r = 0->a, φ = 0->2π and θ = 0->π, we get Q = ρ(4πa^3/3).