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

Lecture

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

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 explores the paradoxes arising from combining Coulomb's and Ampère's forces, leading to inconsistencies with Newton's dynamics and action at a distance. The instructor presents the resolution through Gauss's Law, which is derived from Maxwell's equations.

Instructors (3)

Jan Hugo Dil

Lesya Shchutska

Fabio Avino

Official source

Ontological neighbourhood

Physics

Electromagnetism: Electrodynamics

Related concepts (32)

Coulomb's law

Coulomb's inverse-square law, or simply Coulomb's law, is an experimental law of physics that calculates the amount of force between two electrically charged particles at rest. This electric force is conventionally called electrostatic force or Coulomb force. Although the law was known earlier, it was first published in 1785 by French physicist Charles-Augustin de Coulomb, hence the name. Coulomb's law was essential to the development of the theory of electromagnetism and maybe even its starting point, as it allowed meaningful discussions of the amount of electric charge in a particle.

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 field

An electric field (sometimes E-field) is the physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them. It also refers to the physical field for a system of charged particles. Electric fields originate from electric charges and time-varying electric currents. Electric fields and magnetic fields are both manifestations of the electromagnetic field, one of the four fundamental interactions (also called forces) of nature.

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.

Gauss's law for gravity

In physics, Gauss's law for gravity, also known as Gauss's flux theorem for gravity, is a law of physics that is equivalent to Newton's law of universal gravitation. It is named after Carl Friedrich Gauss. It states that the flux (surface integral) of the gravitational field over any closed surface is proportional to the mass enclosed. Gauss's law for gravity is often more convenient to work from than Newton's law. The form of Gauss's law for gravity is mathematically similar to Gauss's law for electrostatics, one of Maxwell's equations.

Related lectures (46)

Second Maxwell's equation: Magnetic dipole

Covers Maxwell's equations, magnetic dipoles, vector potential, torque, and field patterns.

Electric Flux and Gauss' Law

Explores electric flux, Gauss' law, and their applications in multiple charge scenarios.

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.

Magnetostatics: Magnetic Field and Force Log in to Mediaspace to watch this video

Covers magnetic fields, Ampère's law, and magnetic dipoles with examples and illustrations.

Advanced Physics I: Laws of Newton and Fundamental Forces Log in to Mediaspace to watch this video