ELECTRICAL ENGINEERING EDUCATION

CHAPTER 6: Laplace, Poisson, and Uniqueness Theorem

From Chapter 1 - 5, you already learnt the concept of vector and coordinate and its important to solve electrostatic problem. You also learnt about coulomb's law and gauss's law to find Electric field intensity, Electric flux density as well as electric potential. In Chapter 6, you will be introduced with another approach to find electric potential as well as other electrostatic components by using Laplace or Poisson equation. To satisfy the solution, we need to apply uniqueness theorem.


Part 1: Introduction

For Part 1, you will be introduced with the concept of Laplace & Poisson as well as Uniqueness Theorem to solve the problem related to the Capacitance for different coordinate system.

https://youtu.be/jm_QHAZ2y0w


Part 2: Problem Solving using Laplace and Uniqueness Theorem

For Part 2, you will be introduced to the method to solve Laplace equation (that satisfy the uniqueness theorem). The same method also can be used for Poisson's equation.

https://youtu.be/r-wLFp1BG-U


Part 3: Solving Laplace for Cartesian Coordinate

For Part 3, you will learn to solve the Laplace equation that satisfy the uniqueness theorem for Cartesian coordinate. The same method can be used to solve the Poisson's equation.

https://youtu.be/HPz9J3AYMfI


Part 4: Solving Laplace for Spherical Coordinate

For Part 4, you will learn to solve the Laplace equation that satisfy the uniqueness theorem for Spherical coordinate. The same method can be used to solve the Poisson's equation.

https://youtu.be/4eV2C0leJz4


Part 5: Solving Laplace for Cylindrical Coordinate

For Part 5, you will learn to solve the Laplace equation that satisfy the uniqueness theorem for Cylindrical coordinate. The same method can be used to solve the Poisson's equation.

https://youtu.be/IdgnI0nf0HU