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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

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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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Electrochemical Systems

Electrochemical Systems

Electrochemical systems provide a fascinating insight into the dynamic interplay of charged species within various phases. One notable example is the interaction between a membrane permeable to K⁺ ions but not to Cl⁻ ions, separating an aqueous KCl solution from pure water. As K⁺ ions diffuse through the membrane, they generate net charges on each phase, leading to a potential difference between them.Similarly, when a piece of Zn is immersed in an aqueous ZnSO₄ solution, the Zn metal, composed...

Coulometry: Overview

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Continuous Charge Distributions

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Imagine a bucket of water. It contains many molecules, of the order of 1026 molecules. Thus, although it contains discrete elements (molecules) at the microscopic level, macroscopically, it can be considered continuous. Small volume elements of water, infinitesimal compared to the bulk of the bucket's volume, still contain many molecules. Under this framework, quantized matter is approximated as continuous for practical purposes.
The electric charge can also be subjected to an analogical...

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An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:

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Related Experiment Video

Updated: May 25, 2026

Finite Element Modelling of a Cellular Electric Microenvironment

Finite Element Modelling of a Cellular Electric Microenvironment

Published on: May 18, 2021

Statistical description of Coulomb-like systems.

B I Lev¹, A G Zagorodny

¹Bogolyubov Institute for Theoretical Physics, NAS Ukraine, Metrolohichna Street 14-b, Kyiv 03680, Ukraine.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|February 7, 2012

Summary

This study proposes a quantum-field-theory method to calculate partition functions for Coulomb-like systems, analyzing structure formation in dusty and colloidal crystals. Exact solutions were found for 1D and 2D systems, and a condition for 3D crystal formation was derived.

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Area of Science:

Statistical physics
Quantum field theory
Condensed matter physics

Background:

Calculating partition functions for interacting particle systems, especially Coulomb-like ones, is complex.
Understanding structure formation in these systems is crucial for materials science.

Purpose of the Study:

To develop a quantum-field-theory approach for partition function calculation in Coulomb-like systems.
To analyze structure formation, including crystal formation, in various dimensions.
To provide exact solutions for specific spatial configurations.

Main Methods:

Utilizing a quantum-field-theory framework for statistical description.
Analyzing spatially inhomogeneous configurations.
Deriving analytical solutions for 1D, 2D, and 3D systems.

Main Results:

An exact solution for the spatial distribution of charged particles in 1D systems.
The exact partition function for homogeneous particle distribution in 2D systems.
An analytically derived necessary condition for crystal formation in 3D systems.

Conclusions:

The proposed quantum-field-theory approach effectively addresses partition function calculations for Coulomb-like systems.
The study provides significant insights into structure formation, with applications to dusty and colloidal crystals.
Exact solutions and formation conditions advance the understanding of condensed matter systems.