Classical Electrodynamics By J. D. Jackson

Advanced Electromagnetic Theory

What you'll learn

Master classical electromagnetism: electrostatics, magnetostatics, and waves

Understand electromagnetism in special relativity

Build solid math skills for advanced physics and engineering

Enhance problem-solving abilities with rigorous exercises

Students will learn advanced concepts and techniques related to boundary value problems

Requirements

Prior knowledge of introductory physics and electromagnetism

Description

Classical Electrodynamics: Exploring the Fundamentals by J.D. Jackson" is an all-encompassing course that invites you to embark on a captivating voyage through the intricate world of electromagnetic theory. Whether you're a student, a physics enthusiast, or a researcher, this course will empower you to grasp the timeless principles of classical electrodynamics, as masterfully articulated in J.D. Jackson's celebrated textbook. This course is designed to be your roadmap to comprehending the fascinating realm of classical electrodynamics, laying a solid foundation for your understanding of this profound branch of physics. From the fundamental concepts that underpin the behavior of electric and magnetic fields to the elegant equations formulated by James Clerk Maxwell, this course delves into the heart of the subject. Explore the propagation of electromagnetic waves, understand the intricacies of electrostatics and magnetostatics, and grasp the interactions between electromagnetic fields and matter. Uncover the generation and propagation of electromagnetic radiation, including its applications in various fields. Furthermore, this course seamlessly integrates the principles of classical electrodynamics with Einstein's theory of special relativity, offering a holistic understanding of the subject. You'll be exposed to real-world applications, bridging the gap between theory and practice. Throughout your learning journey, you'll encounter challenging exercises and problem-solving opportunities, ensuring you gain hands-on experience in tackling complex electromagnetic problems. By the conclusion of this course, you'll have a profound appreciation for the elegance and power of classical electrodynamics, equipping you with the knowledge and skills to explore advanced topics in physics and engineering. Join us on this intellectual adventure, guided by J.D. Jackson's expertise, and unlock the secrets of electromagnetic phenomena. Enroll today and set off on a quest to unravel one of the most beautiful and foundational theories in the realm of physics, gaining insights that will resonate throughout your academic and professional pursuits.

Overview

Section 1: Review of Maxwell's Equations

Lecture 1 L1.1 Review of Maxwell's equations: electric charge, Coulomb's law

Lecture 2 L1.2 Review of Maxwell's equations: electrostatics, Gauss's law

Lecture 3 L1.3 Review of Maxwell's equations: electrostatics, divergence and curl of E

Lecture 4 L2.1 Review of Maxwell's equations: magnetostatics, Lorentz force

Lecture 5 L2.2 Review of Maxwell's equations: Magnetostatics, the continuity equation

Lecture 6 L2.3 Review of Maxwell's equations: Amperes law, Poisson and Laplace equations

Lecture 7 L3.1 Review of Maxwell's equations: Maxwell's equations in materials

Lecture 8 L3.2 Review of Maxwell's equations: Free and bound charges

Lecture 9 L3.3 Review of Maxwell's equations: Polarization and electric displacement

Lecture 10 L4.1 Review of Maxwell's equations: electric field vs electric displacement

Lecture 11 L4.2 Review of Maxwell's equations: Faraday's law and electromagnetic induction

Lecture 12 L4.3 Review of Maxwell's equations: magnetic field B and H

Lecture 13 L4.4 Review of Maxwell's equations: Maxwell's correction to the Ampere's law

Lecture 14 L4.5 Review of Maxwell's equations: Maxwell's correction to the Ampere's law

Section 2: Chapter 01 Introduction to Electrostatics

Lecture 15 L5.1 Electrostatics: Coulomb's law and Dirac delta function

Lecture 16 L5.2 Electrostatics: Coulomb's law and Dirac delta function

Lecture 17 L5.3 Electrostatics: Coulomb's law and Dirac delta function

Lecture 18 L6.1 Electrostatics: Gauss's law and electric potential

Lecture 19 L6.2 Electrostatics: Gauss's law and electric potential

Lecture 20 L6.3 Electrostatics: Gauss's law and electric potential

Lecture 21 L7.1 Electrostatics: Poisson's and Laplace equations

Lecture 22 L7.2 Electrostatics: Poisson's and Laplace equations

Lecture 23 L7.3 Electrostatics: Poisson's and Laplace equations

Lecture 24 L7.4 Electrostatics: Poisson's and Laplace equations

Lecture 25 L8.1 Electrostatics: Green's theorem, Dirichlet and Neumann boundary conditions

Lecture 26 L8.2 Electrostatics: Green's theorem, Dirichlet and Neumann boundary conditions

Lecture 27 L8.3 Electrostatics: Green's theorem, Dirichlet and Neumann boundary conditions

Section 3: Chapter 02 Boundary Value Problems in Electrostatics: I

Lecture 28 L9.1 Point charge in the presence of a grounded conducting sphere

Lecture 29 L9.2 Point charge in the presence of a grounded conducting sphere

Lecture 30 L9.3 Point charge in the presence of a grounded conducting sphere

Lecture 31 L10.1 Point charge in the presence of a grounded conducting sphere

Lecture 32 L10.2 Point charge in the presence of a grounded conducting sphere

Lecture 33 L10.3 Point charge in the presence of a grounded conducting sphere

Lecture 34 L10.4 Point charge in the presence of a grounded conducting sphere

Lecture 35 L11.1 Point charge in the presence of a charged, insulated conducting sphere

Lecture 36 L11.2 Point charge in the presence of a charged, insulated conducting sphere

Lecture 37 L11.3 Point charge in the presence of a charged, insulated conducting sphere

Lecture 38 L12.1 Conducting sphere in a uniform electric field

Lecture 39 L12.2 Conducting sphere in a uniform electric field

Lecture 40 L12.3 Conducting sphere in a uniform electric field

Lecture 41 L13.1 Greens function construction from images

Lecture 42 L13.2 Greens function construction from images

Lecture 43 L14.1 Conducting sphere with hemispheres at different potentials

Lecture 44 L14.2 Conducting sphere with hemispheres at different potentials

Lecture 45 L14.3 Conducting sphere with hemispheres at different potentials

Lecture 46 L15.1 Conducting sphere with hemispheres at different potentials

Lecture 47 L15.2 Conducting sphere with hemispheres at different potentials

Lecture 48 L15.3 Conducting sphere with hemispheres at different potentials

Lecture 49 L15.4 Conducting sphere with hemispheres at different potentials

Lecture 50 L16.1 Conducting sphere with hemispheres at different potentials

Lecture 51 L16.2 Conducting sphere with hemispheres at different potentials

Lecture 52 L16.3 Conducting sphere with hemispheres at different potentials

Section 4: Chapter 03 Boundary Value Problems in Electrostatics: II

Lecture 53 L17.1 Laplace equation in spherical polar coordinates

Lecture 54 L17.2 Laplace equation in spherical polar coordinates

Lecture 55 L17.3 Laplace equation in spherical polar coordinates

Lecture 56 L17.4 Laplace equation in spherical polar coordinates

Lecture 57 L17.5 Laplace equation in spherical polar coordinates

Lecture 58 L18.1 Laplace equation in spherical polar coordinates

Lecture 59 L18.2 Laplace equation in spherical polar coordinates

Lecture 60 L19.1 Solution to Laplace equation in spherical coords – separation of variables

Lecture 61 L19.2 Solution to Laplace eq. in spherical coords – Legendre differential eq

Lecture 62 L19.3 Solution to Laplace eq. in spherical coords – recursion relation

Lecture 63 L19.4 Solution to Laplace eq in spherical coordinates – Legendre polynomial

Lecture 64 L20.1 Laplace eq. in spherical coordinates - properties of Legendre polynomials

Lecture 65 L20.2 Laplace eq. in spherical coordinates - properties of Legendre polynomials

Lecture 66 L21.1 Laplace eq. in spherical coordinates - properties of Legendre polynomials

Lecture 67 L21.2 Laplace eq. in spherical coordinates - properties of Legendre polynomials

Lecture 68 L22.1 Laplace equation with azimuthal symmetry

Lecture 69 L22.2 Laplace equation with azimuthal symmetry

Lecture 70 L23.1 Laplace equation with azimuthal symmetry

Lecture 71 L23.2 Laplace equation with azimuthal symmetry

Lecture 72 L24.1 Laplace equation with azimuthal symmetry: example

Lecture 73 L24.2 Associated Legendre equation / function

Lecture 74 L25.1 Orthogonality of associated Legendre equation

Lecture 75 L25.2 Orthogonality of associated Legendre equation

Graduate students pursuing degrees in physics, engineering, or related fields