Classical Electrodynamics By J. D. Jackson

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
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