Lecture

Second Maxwell's equation: Magnetic dipole

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In course

PHYS-114: General physics : electromagnetism

Le cours traite des concepts de l'électromagnétisme, avec le support d'expériences. Les sujets traités inclus l'électrostatique, le courant électrique et circuits, la magnétostatique, l'induction électromagnétique, les équations de Maxwell, et les ondes él ...

Description

This lecture discusses the paradoxes in Coulomb's and Ampére's laws, leading to the formulation of Maxwell's equations. It covers Gauss's law in integral and differential forms, the second Maxwell's equation for magnetic fields, and the concept of vector potential. The lecture also explores the properties of magnetic dipoles, including their torque in electric and magnetic fields, potential energy, and equilibrium conditions. Additionally, it explains the field patterns of electric and magnetic dipoles and the consequences of cutting dipoles in half.

Instructors (3)

Fabio Avino

Education PhD in Physics | Turbulence at the boundary of toroidal plasmas with open and closed magnetic flux surfaces 2011 – 2015 EPFL Master in Physics | Rifrattometria su Plasmi di Interesse Termonucleare 2008 – 2010 La Sapienza Bachelor in Physics | Fluorescenza X portatile per l'analisi dei beni culturali 2005 – 2008 La Sapienza Professionals experiences Physicist - Senior Fellow 2017–2020 CERNScientist 2016–2017 EPFL Teaching & PhD P

Jan Hugo Dil

Teaching & PhD Past EPFL PhD Students Stefan Muff, Mauro Fanciulli, Fei Guo Courses Physics III PHYS-200 The students understand and apply the physics of fluids, and the basics of electromagnetism and electronic schemes Awards Latsis prize EPFL 2015 Heinrich Rohrer Rising Medal SSSJ 2014

Lesya Shchutska

Current Work Our research is focused on testing the boundaries of the Standard Model of particle physics and on looking for new phenomena which might explain unanswered puzzles in the fundamental description of the Universe. The examples of such puzzles would be dark matter nature, matter-antimatter asymmetry of the Universe or very small but non-zero neutrino masses.The main instrument for these tasks is the LHCb detector at CERN, where the analyses of the data collected in the LHC proton-proton collisions

Official source

Ontological neighbourhood

Physics

Electromagnetism: Electrodynamics

Related concepts (32)

Magnetic field

A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to the magnetic field. A permanent magnet's magnetic field pulls on ferromagnetic materials such as iron, and attracts or repels other magnets.

Electric potential

The electric potential (also called the electric field potential, potential drop, the electrostatic potential) is defined as the amount of work energy needed per unit of electric charge to move this charge from a reference point to the specific point in an electric field. More precisely, it is the energy per unit charge for a test charge that is so small that the disturbance of the field under consideration is negligible.

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.

Electromagnetic field

An electromagnetic field (also EM field or EMF) is a classical (i.e. non-quantum) field produced by moving electric charges. It is the field described by classical electrodynamics (a classical field theory) and is the classical counterpart to the quantized electromagnetic field tensor in quantum electrodynamics (a quantum field theory). The electromagnetic field propagates at the speed of light (in fact, this field can be identified as light) and interacts with charges and currents.

Magnetic vector potential

In classical electromagnetism, magnetic vector potential (often called A) is the vector quantity defined so that its curl is equal to the magnetic field: . Together with the electric potential φ, the magnetic vector potential can be used to specify the electric field E as well. Therefore, many equations of electromagnetism can be written either in terms of the fields E and B, or equivalently in terms of the potentials φ and A. In more advanced theories such as quantum mechanics, most equations use potentials rather than fields.

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