Question

Calculate the charge density when a potential function x^2 + y^2 + z^2 is in air(in 10-9 order) (a) 1/6π (b) 6/2π (c) 12/6π (d) 10/8π This question was addressed to me during a job interview. I'd like to ask this question from Poisson and Laplace Equation topic in chapter Electrostatic Boundary Value Problem 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

Correct choice is (a) 1/6π Best explanation: The Poisson equation is given by Del^2(V) = -ρ/ε. To find ρ, put ε = 8.854 x 10^-12 in air and Laplacian of the function is 2 + 2 + 2 = 6. Ρ = 6 x 10^-9/36π = 1/6π units.