Maxwell's equations | Partial differential equations | Functions of space and time
Maxwell's equations, or Maxwell–Heaviside equations, are a set of coupled partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, and electric circuits. The equations provide a mathematical model for electric, optical, and radio technologies, such as power generation, electric motors, wireless communication, lenses, radar etc. They describe how electric and magnetic fields are generated by charges, currents, and changes of the fields. The equations are named after the physicist and mathematician James Clerk Maxwell, who, in 1861 and 1862, published an early form of the equations that included the Lorentz force law. Maxwell first used the equations to propose that light is an electromagnetic phenomenon. The modern form of the equations in their most common formulation is credited to Oliver Heaviside. Maxwell's equations may be combined to demonstrate how fluctuations in electromagnetic fields (waves) propagate at a constant speed, c (299792458 m/s in vacuum). Known as electromagnetic radiation, these waves occur at various wavelengths to produce a spectrum of radiation from radio waves to gamma rays. The equations have two major variants. The microscopic equations have universal applicability but are unwieldy for common calculations. They relate the electric and magnetic fields to total charge and total current, including the complicated charges and currents in materials at the atomic scale. The macroscopic equations define two new auxiliary fields that describe the large-scale behaviour of matter without having to consider atomic-scale charges and quantum phenomena like spins. However, their use requires experimentally determined parameters for a phenomenological description of the electromagnetic response of materials.The term "Maxwell's equations" is often also used for . Versions of Maxwell's equations based on the electric and magnetic scalar potentials are preferred for explicitly solving the equations as a boundary value problem, analytical mechanics, or for use in quantum mechanics. The covariant formulation (on spacetime rather than space and time separately) makes the compatibility of Maxwell's equations with special relativity manifest. Maxwell's equations in curved spacetime, commonly used in high-energy and gravitational physics, are compatible with general relativity. In fact, Albert Einstein developed special and general relativity to accommodate the invariant speed of light, a consequence of Maxwell's equations, with the principle that only relative movement has physical consequences. The publication of the equations marked the unification of a theory for previously separately described phenomena: magnetism, electricity, light, and associated radiation.Since the mid-20th century, it has been understood that Maxwell's equations do not give an exact description of electromagnetic phenomena, but are instead a classical limit of the more precise theory of quantum electrodynamics. (Wikipedia).
Physics - E&M: Maxwell's Equations (1 of 30) What are the Maxwell equations? Introduction
Visit http://ilectureonline.com for more math and science lectures! In this video I will introduction to Maxwell's equations.
From playlist PHYSICS - ELECTRICITY AND MAGNETISM 3
Physics - E&M: Maxwell's Equations (30 of 30) Fundamental Form of Maxwell's Equation
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the fundamental form of Maxwell's equations.
From playlist PHYSICS 46 MAXWELL'S EQUATIONS
LET THERE BE... Voltage? | Maxwell's Equation #2 Explained for Beginners
The second Maxwell Equation made simple! Hey you lot, I'm back with possibly my longest physics video yet - hopefully it's digestible haha! A lot of you enjoyed my previous video on one of Maxwell's Equations of Electromagnetism (check it out here: https://www.youtube.com/watch?v=0jW74lr
From playlist Maxwell's Equations EXPLAINED
Physics - E&M: Maxwell's Equations (9 of 30) Differential Form of Gauss' Law: 1
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain Gauss' Law in differential form.
From playlist PHYSICS 46 MAXWELL'S EQUATIONS
Here's What Maxwell's Equations ACTUALLY Mean.
Offset your carbon footprint on Wren: https://www.wren.co/start/parthg The first 100 people who sign up will have 10 extra trees planted in their name! Maxwell's Equations are a set of 4 equations that describe how electric and magnetic fields behave within our universe, as well as how th
From playlist Maxwell's Equations EXPLAINED
There are 8 Maxwell Equations, Not 4.
Get the exclusive NordVPN deal here at https://nordvpn.com/parthg. It's risk-free with NordVPN's 30-day money-back guarantee! In this video, we're looking at how there are two sides to every Maxwell, equation, and therefore there are two ways of understanding each of Maxwell's equations.
From playlist Maxwell's Equations EXPLAINED
Maxwell's Equations: Gauss' Law Explained (ft. @Higgsinophysics ) | Physics for Beginners
Can YOU understand Gauss Law, which is the Maxwell Equation that prescribes how Electric Fields must behave? Hey everyone, I'm back with another video! This one was highly requested, as a follow-up to my first two Maxwell Equation videos. This, therefore, is the third video in the series
From playlist Maxwell's Equations EXPLAINED
Physics - E&M: Maxwell's Equations (18 of 30) Differential Form of Gauss' Law: 10
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the differential form of Gauss' Law for magnetic field.
From playlist PHYSICS 46 MAXWELL'S EQUATIONS
Maxwell’s Equations Part 1: Gauss’s Law for the Electric Field
It's time to go a little deeper with our understanding of classical physics! From the very introductory conceptual tutorials on electricity and magnetism, we need to apply some more rigor and use advanced math that will help us really understand these topics. To start we will examine Maxwe
From playlist Classical Physics
Inverse problems for Maxwell's equations (Lecture - 1) by Ting Zhou
DISCUSSION MEETING WORKSHOP ON INVERSE PROBLEMS AND RELATED TOPICS (ONLINE) ORGANIZERS: Rakesh (University of Delaware, USA) and Venkateswaran P Krishnan (TIFR-CAM, India) DATE: 25 October 2021 to 29 October 2021 VENUE: Online This week-long program will consist of several lectures by
From playlist Workshop on Inverse Problems and Related Topics (Online)
Lecture 2 (CEM) -- Maxwell's Equations
This lecture reviews Maxwell's equations and some basic electromagnetic theory needed for the course. The most important part of this lecture is preparing Maxwell's equations for CEM.
From playlist UT El Paso: CEM Lectures | CosmoLearning.org Electrical Engineering
Maxwell's Equations: Crash Course Physics #37
Want more Crash Course in person? We'll be at NerdCon: Nerdfighteria in Boston on February 25th and 26th! For more information, go to http://www.nerdconnerdfighteria.com/ In the early 1800s, Michael Faraday showed us how a changing magnetic field induces an electromotive force, or emf, re
From playlist Back to School - Expanded
Field Equations Maxwell's Equations Part 1
You can not understand the quantum theory of the electromagnetic field without a good understanding of classical electrodynamics. In this lesson we begin a review of the formal structure of Maxwell's equations in "real space". Our goal is to cast Maxwell's equations in "reciprocal space" w
From playlist QED- Prerequisite Topics
Pieter Blue - Decay for fields outside black holes
I will discuss energy and Morawetz (or integrated local decay) estimates for fields outside black holes. These results build on results for the wave equation and use the Killing tensor, an unusual geometric object that exists in the Kerr spacetime.
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
Converting Maxwells Equations from Differential to Integral Form
In this video I show how to make use of Stokes and Divergence Theorem in order to convert between Differential and Integral form of Maxwell's equations. I also try to explain their connection to fluid dynamics, as well as motivation for each form.
From playlist Math/Derivation Videos
Thomas Backdahl - Symmetry operators, conserved currents and energy momentum tensors
Conserved quantities, for example energy and momentum, play a fundamental role in the analysis of dynamics of particles and fields. For field equations, one manifestation of conserved quantities in a broad sense is the existence of symmetry operators, i.e. linear differential operators whi
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
Physics - E&M: Maxwell's Equations (28 of 30) Faraday's Law in Differential Form Ex. 1
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the 4th of the 4 Maxwell's equations (Faraday's Law of induction).
From playlist PHYSICS 46 MAXWELL'S EQUATIONS
Equations Stripped: Maxwell's Equations of Electromagnetism
Stripping back some of the most important equations in maths layer by layer so that everyone can understand... This time it's the turn of Maxwell's Equations of Electromagnetism - they gave us the electromagnetic spectrum and showed once and for all that light is a wave. Equations Stripp
From playlist Equations Stripped