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) 10/8πThis 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

Calculate the charge density when a potential function x^2 + y^2 + z^2

1.	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) 10/8πThis 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
Answer» 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.

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