L4.4 Review of Maxwell's equations: Maxwell's correction to the Ampere's law скачать в хорошем качестве

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

Dive into a detailed lecture from a Classical Electrodynamics course based on the renowned textbook by J.D. Jackson. This session bridges the gap between electrostatics in materials and magnetostatics, exploring the crucial analogies and differences between electric polarization (P) and magnetization (M). We break down the concepts of magnetic permeability (μ), susceptibility (χ_m), and how materials respond to magnetic fields. The lecture culminates in a critical examination of Ampere's Law, exposing its famous failure in the case of a charging capacitor. We then walk through the logical steps that lead to the necessity of Maxwell's displacement current correction, a cornerstone of modern electrodynamics. Analogy between Electric (D, ε, χ_e) and Magnetic (H, μ, χ_m) fields in matter Defining Magnetic Permeability and Susceptibility Understanding Bound Fields vs. Free Fields (E, B vs. D, H) The Capacitor Problem: Where Ampere's Law Breaks Down Deriving the Need for Maxwell's Displacement Current Term ► Lecture Notes https://drive.google.com/file/d/1FopO... 00:00 - Intro: Defining B in Magnetic Materials (B = μ₀(H + M)) 03:08 - Key Analogy: E & B (in Vacuum) vs. D & H (in Materials) 06:40 - Polarization, Magnetization, Susceptibility & Permeability 09:50 - The Capacitor Paradox: Demonstrating Ampere's Law's Failure 13:30 - The Resolution: Deriving Maxwell's Displacement Current ► RECOMMENDED TEXTBOOK: Classical Electrodynamics by John David Jackson ► FOLLOW THE FULL SERIES:    • L1.1 Electrostatics Fundamentals: Charge P...   #Electrodynamics #Physics #MaxwellsEquations #JDJackson classical electrodynamics, JD Jackson, magnetism, magnetic susceptibility, magnetic permeability, Ampere's law, Maxwell's equations, displacement current, capacitor problem, bound currents, free currents, H field, B field, D field, E field, electromagnetism, physics lecture, physics course, Maxwell's correction, vector calculus, electrodynamics in matter, polarization, magnetization