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Coulomb's Law

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 Superposition

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?
The Principle of Superposition answers the question. Yes, Coulomb's Law applies to each pair of charges, and the net force on each charge is the vector sum of the...

Electric Potential Energy of Two Point Charges

Electric Potential Energy of Two Point Charges

The electric potential energy of a test charge in a uniform eclectic field can be generalized to any electric field produced by static charge distribution. Consider a positive test charge in an electric field produced by another static positive charge. If the test charge is moved away from the static charge, then the electric field does the positive work on the test charge, and the electric potential energy of the test charge decreases as it moves away from the static charge. Here the electric...

Force and Potential Energy in One Dimension

Force and Potential Energy in One Dimension

Force can be calculated from the expression for potential energy, which is a function of position. The component of a conservative force, in a particular direction, equals the negative of the derivative of the corresponding potential energy with respect to the displacement in that direction. For regions where potential energy changes rapidly with displacement, the work done and force is maximum. Also, when force is applied along the positive coordinate axis, the potential energy decreases with...

Van der Waals Equation

Van der Waals Equation

The ideal gas law is an approximation that works well at high temperatures and low pressures. The van der Waals equation of state (named after the Dutch physicist Johannes van der Waals, 1837−1923) improves it by considering two factors.
First, the attractive forces between molecules, which are stronger at higher densities and reduce the pressure, are considered by adding to the pressure a term equal to the square of the molar density multiplied by a positive coefficient a. Second, the volume...

Electric Field of Two Equal and Opposite Charges

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.
A separation of the positive and negative charges can lead to a weak, remnant effect of the positive and negative charges. The expectation is that the more the distance between the positive and...

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Related Experiment Video

Updated: Jun 26, 2026

Coulomb Explosion Imaging as a Tool to Distinguish Between Stereoisomers

Coulomb Explosion Imaging as a Tool to Distinguish Between Stereoisomers

Published on: August 18, 2017

Coulomb breakup problem.

A S Kadyrov¹, I Bray, A M Mukhamedzhanov

¹ARC Centre for Antimatter-Matter Studies, Curtin University of Technology, GPO Box U1987, Perth, WA 6845, Australia.

Physical Review Letters

|December 31, 2008

Summary

This study presents a new surface-integral method for scattering theory, applicable to various potentials. It simplifies deriving breakup amplitudes without complex renormalization procedures.

Area of Science:

Quantum mechanics
Atomic and molecular physics
Mathematical physics

Background:

Scattering theory is crucial for understanding particle interactions.
Existing methods for three-body systems can be complex.
Asymptotic forms of wave functions are key to solving scattering problems.

Purpose of the Study:

To develop a novel surface-integral formulation for three-body scattering.
To apply this formulation to both short-range and Coulombic potentials.
To derive breakup amplitudes without renormalization.

Main Methods:

Utilizing a surface-integral approach.
Employing analytically known asymptotic forms of three-body wave functions.
Deriving post and prior forms of the breakup amplitude.

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Last Updated: Jun 26, 2026

Coulomb Explosion Imaging as a Tool to Distinguish Between Stereoisomers

Coulomb Explosion Imaging as a Tool to Distinguish Between Stereoisomers

Published on: August 18, 2017

Finite Element Modelling of a Cellular Electric Microenvironment

Finite Element Modelling of a Cellular Electric Microenvironment

Published on: May 18, 2021

$Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene$

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Published on: August 22, 2017

Main Results:

A valid formulation for both short-range and Coulombic potentials.
Successful derivation of breakup amplitudes.
Elimination of the need for renormalization procedures.

Conclusions:

The surface-integral approach offers a simplified and effective method for three-body scattering.
This formulation provides a robust framework for analyzing particle interactions.
The method is broadly applicable across different potential types.