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Maxwell's Equation Of Electromagnetism

Maxwell's Equation Of Electromagnetism

James Clerk Maxwell (1831–1879) was one of the major contributors to physics in the nineteenth century. Although he died young, he made major contributions to the development of the kinetic theory of gases, to the understanding of color vision, and to understanding the nature of Saturn's rings. He is probably best known for having combined existing knowledge on the laws of electricity and magnetism with his insights into a complete overarching electromagnetic theory, which is represented by...

Symmetry in Maxwell's Equations

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Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...

Differential Form of Maxwell's Equations

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James Clerk Maxwell (1831–1879) was one of the significant contributors to physics in the nineteenth century. He is probably best known for having combined existing knowledge of the laws of electricity and the laws of magnetism with his insights to form a complete overarching electromagnetic theory, represented by Maxwell's equations. The four basic laws of electricity and magnetism were discovered experimentally through the work of physicists such as Oersted, Coulomb, Gauss, and Faraday.

Maxwell's Thermodynamic Relations

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Maxwell's thermodynamic relations are very useful in solving problems in thermodynamics. Each of Maxwell's relations relates a partial differential between quantities that can be hard to measure experimentally to a partial differential between quantities that can be easily measured. These relations are a set of equations derivable from the symmetry of the second derivatives and the thermodynamic potentials.
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Motion Of A Charged Particle In A Magnetic Field

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Related Experiment Video

Updated: May 18, 2026

Scanning SQUID Study of Vortex Manipulation by Local Contact

Scanning SQUID Study of Vortex Manipulation by Local Contact

Published on: February 1, 2017

Maxwell's demon in the Ranque-Hilsch vortex tube.

R Liew¹, J C H Zeegers, J G M Kuerten

¹Department of Applied Physics, Eindhoven University of Technology, Netherlands. r.liew@tue.nl

Physical Review Letters

|September 26, 2012

Summary

A new theory explains energy separation in vortex tubes, akin to Maxwellian demons. Experimental data confirms a unique relationship between exit pressures and temperatures, validating the theory.

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Area of Science:

Thermodynamics
Fluid Dynamics
Physics

Background:

Vortex tubes exhibit unique energy separation phenomena.
The underlying physical mechanisms, particularly the role of pressure and temperature, require theoretical elucidation.
Maxwell's demon thought experiment provides a conceptual parallel for understanding such separations.

Purpose of the Study:

To develop a theoretical framework explaining energy separation in a vortex tube.
To investigate the relationship between exit pressures and temperatures within the vortex tube.
To validate the developed theory through experimental comparison.

Main Methods:

A novel theory was formulated to describe energy separation in vortex tubes.
The relationship between pressures at the vortex tube exits and its internal temperatures was mathematically derived.
Experimental measurements of exit pressures and temperatures were conducted.

Main Results:

A unique relationship between the pressures in the vortex tube exits and its temperatures was identified.
The developed theory accurately predicts the temperature behavior within the vortex tube.
Experimental results showed excellent agreement with the computed temperatures.

Conclusions:

The developed theory successfully explains the energy separation phenomenon in vortex tubes.
The established pressure-temperature relationship is a key factor in vortex tube operation.
The study validates the theoretical model with strong experimental evidence, contributing to vortex tube physics.