Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Lecture

Maxwell's Equations in Materials

In course

EE-201: Electromagnetics II : field computation

Ce cours traite de l'électromagnétisme dans le vide et dans les milieux continus. A partir des principes fondamentaux de l'électromagnétisme, on établit les méthodes de résolution des équations de Maxwell dans le vide et dans des milieux matériels complexe ...

Description

This lecture covers the constitutive relations in materials, related charges, and the presence of charges in different materials, emphasizing the implications of Maxwell's equations. It also discusses dipolar moments, induced polarizations, and variations of charges within closed surfaces.

This video is available exclusively on Mediaspace for a restricted audience. Please log in to MediaSpace to access it if you have the necessary permissions.

Watch on Mediaspace

Instructor

Romain Christophe Rémy Fleury

Official source

Related concepts (23)

Electric charge

Electric charge is the physical property of matter that causes it to experience a force when placed in an electromagnetic field. Electric charge can be positive or negative (commonly carried by protons and electrons respectively, by convention). Like charges repel each other and unlike charges attract each other. An object with no net charge is referred to as electrically neutral. Early knowledge of how charged substances interact is now called classical electrodynamics, and is still accurate for problems that do not require consideration of quantum effects.

Charge density

In electromagnetism, charge density is the amount of electric charge per unit length, surface area, or volume. Volume charge density (symbolized by the Greek letter ρ) is the quantity of charge per unit volume, measured in the SI system in coulombs per cubic meter (C⋅m−3), at any point in a volume. Surface charge density (σ) is the quantity of charge per unit area, measured in coulombs per square meter (C⋅m−2), at any point on a surface charge distribution on a two dimensional surface.

Maxwell's equations

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.

Maxwell's equations in curved spacetime

In physics, Maxwell's equations in curved spacetime govern the dynamics of the electromagnetic field in curved spacetime (where the metric may not be the Minkowski metric) or where one uses an arbitrary (not necessarily Cartesian) coordinate system. These equations can be viewed as a generalization of the vacuum Maxwell's equations which are normally formulated in the local coordinates of flat spacetime.

Material

Material is a substance or mixture of substances that constitutes an object. Materials can be pure or impure, living or non-living matter. Materials can be classified on the basis of their physical and chemical properties, or on their geological origin or biological function. Materials science is the study of materials, their properties and their applications. Raw materials can be processed in different ways to influence their properties, by purification, shaping or the introduction of other materials.

Related lectures (31)

Maxwell's Equations: Derivation and Implications

Explores the derivation and implications of the 4th Maxwell's equation, emphasizing the importance of charge conservation and the role of displacement current.

Paradoxes with Coulomb's and Ampère's forces. Gauss's Law

Delves into paradoxes with Coulomb's and Ampère's forces, leading to the derivation of Gauss's Law from Maxwell's equations.

Optical Properties: Materials & Maxwell's Equations

Explores optical properties of materials, Maxwell's equations, and material response to light.

Electromagnetic Phenomena

Introduces the importance of studying electromagnetic phenomena and Maxwell's equations.

Chemistry: Atomic Structure and Thermodynamics