Electrostatic Boundary Value Problems Ref: Elements of Electromagnetics by Matthew N. O. Sadiku.

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Electrostatic Boundary Value Problems Ref: Elements of Electromagnetics by Matthew N. O. Sadiku

Guass’s Law Gauss's law states that the total electric flux through any closed surface is equal to the total charge enclosed by that surface.

POISSON'S AND LAPLACE'S EQUATIONS Poisson's and Laplace's equations are easily derived from Gauss's law As This is known as Poisson's equation. For a charge-free region, ρ v = 0

POISSON'S AND LAPLACE'S EQUATIONS This is known as Laplace's equation. Thus Laplace's equation in Cartesian, cylindrical, or spherical coordinates respectively is given by

Example 6.1

Example 6.3

Example 6.4

Assignment for improvement of quiz: