L4.3 Review of Maxwell's equations: magnetic field B and auxiliary magnetic field H скачать в хорошем качестве

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

Dive deep into the differential form of Faraday's Law and the crucial extension of Ampere's Law for magnetic materials. This lecture, based on JD Jackson's Classical Electrodynamics, introduces the Auxiliary Magnetic Field H, a fundamental concept for understanding magnetism in matter. We break down the derivation from first principles, connecting bound currents, magnetization (M), and the new field H. Del Cross E (∇ × E) and its relation to -∂B/∂t Integral vs. Differential forms of electromagnetic laws Bound Current Density J_b = ∇ × M Derivation of H = (1/μ₀)B - M Ampere's Law for materials: ∇ × H = J_f Introduction to magnetic susceptibility χ_m This is essential viewing for university students taking advanced electromagnetism, preparing for qualifying exams, or anyone looking to solidify their understanding of Maxwell's equations in matter. ► Lecture Notes https://drive.google.com/file/d/1FopO... 00:00 - Introduction & Recap of Faraday's Law in Differential Form 01:03 - Physical Meaning: Time-Varying Magnetic Fields Create Curling Electric Fields 02:46 - The Role of Lenz's Law and Nature's "Abhorrence" of Flux Change 04:31 - Transition to Materials: The Need for an Auxiliary Field (like D for E) 05:52 - Deriving Ampere's Law in Materials: Free vs. Bound Current Density (J_f & J_b) 11:24 - Defining the Auxiliary Magnetic Field H and its Differential Form (∇ × H = J_f) 13:55 - Magnetization and Magnetic Susceptibility (M = χ_m H) for Linear Media ► RECOMMENDED TEXTBOOK: Classical Electrodynamics by John David Jackson ► FOLLOW THE FULL SERIES:    • L1.1 Electrostatics Fundamentals: Charge P...   #Electrodynamics #FaradaysLaw #physicslectures maxwell's equations, classical electrodynamics, jd jackson, faraday's law differential form, lenz's law, ampere's law, auxiliary magnetic field H, magnetic field H, magnetization, bound current, free current, current density, del cross E, del cross B, electromagnetism, physics lecture, graduate physics, theoretical physics, physics explained, ∇ × H = J_f, magnetic susceptibility, paramagnetism, diamagnetism, ferromagnetism