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Coulomb's Law01:30

Coulomb's Law

Experiments with electric charges have shown that if two objects each have an electric charge, they exert an electric force on each other. The magnitude of the force is linearly proportional to the net charge on each object and inversely proportional to the square of the distance between them. The direction of the force vector is along the imaginary line joining the two objects and is dictated by the signs of the charges involved.
Newton's third law applies to the Coulomb force — the force on...
Coulomb's Law and The Principle of Superposition01:15

Coulomb's Law and The Principle of Superposition

Coulomb's Law describes the force experienced by two point charges under each other's presence. But what if there are more than two charges? For example, if there is a third charge, does it experience a force that is a simple combination of the individual forces due to the first two charges? Can it be described mathematically?
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Atomic Radii and Effective Nuclear Charge03:08

Atomic Radii and Effective Nuclear Charge

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Electric Field of a Non Uniformly Charged Sphere01:22

Electric Field of a Non Uniformly Charged Sphere

Gauss's law states that the electric flux through any closed surface equals the net charge enclosed within the surface. This law is beneficial for determining the expressions for the electric field for a particular charge distribution if the electric flux is known.
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Electric Field of Two Equal and Opposite Charges01:30

Electric Field of Two Equal and Opposite Charges

Atoms generally contain the same number of positively and negatively charged particles, protons, and electrons. Hence, they are electrically neutral. However, the centers of the positive and negative charges do not always coincide. In such a scenario, the electric field of an atom may not be zero.
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Comparison Between Electrical And Gravitational Forces01:24

Comparison Between Electrical And Gravitational Forces

There are four fundamental forces in nature: the gravitational force, the electromagnetic force, the strong nuclear force, and the weak nuclear force. To compare the numerical strengths of the first two, take two particles of the same kind. Since electrons are fundamental particles, they are a good example.
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Testing Born-Infeld electrodynamics in waveguides.

Physical review letters·2008
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Related Experiment Video

Updated: Jul 4, 2026

Finite Element Modelling of a Cellular Electric Microenvironment
08:23

Finite Element Modelling of a Cellular Electric Microenvironment

Published on: May 18, 2021

Born-Infeld corrections to Coulombian interactions.

Rafael Ferraro1, María Evangelina Lipchak

  • 1Instituto de Astronomía y Física del Espacio, Casilla de Correo 67, Sucursal 28, 1428 Buenos Aires, Argentina. ferraro@iafe.uba.ar

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 4, 2008
PubMed
Summary
This summary is machine-generated.

Investigating Born-Infeld electrostatic fields reveals unique charge interactions. Remarkably, the force between equal charges diminishes to zero as they approach, a key finding in nonlinear electrodynamics.

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Area of Science:

  • Nonlinear electrodynamics
  • Theoretical physics
  • Mathematical physics

Background:

  • Born-Infeld theory extends classical electrodynamics with nonlinear field equations.
  • Understanding electrostatic fields in nonlinear regimes is crucial for advanced physics.

Purpose of the Study:

  • Investigate two-dimensional Born-Infeld electrostatic fields.
  • Analyze the behavior of superposed pointlike charges in the linearized limit.
  • Quantify changes in Coulombian interaction within Born-Infeld theory.

Main Methods:

  • Utilized a nonholomorphic mapping of the complex plane.
  • Analyzed the superposition of two pointlike charges.
  • Computed interaction forces in the Maxwellian limit.

Main Results:

  • Characterized two-dimensional Born-Infeld electrostatic fields.
  • Demonstrated deviations from classical Coulombian interaction.
  • Observed a remarkable phenomenon: the force between equal charges tends to zero at close proximity.

Conclusions:

  • The study provides insights into nonlinear electrostatic interactions.
  • Born-Infeld theory exhibits unique behavior compared to Maxwellian electrodynamics.
  • The vanishing force between equal charges at short distances presents a novel aspect of nonlinear field theory.