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

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Presentation on theme: "Electrostatic Boundary Value Problems Ref: Elements of Electromagnetics by Matthew N. O. Sadiku."— Presentation transcript:

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

2 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.

3 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

4 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

5 Example 6.1

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8 Example 6.3

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10 Example 6.4

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14 Assignment for improvement of quiz:

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