Maxwell stress tensor | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-10-02

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Maxwell_stress_tensor


00:00:56 1 Motivation
00:01:53 2 Equation
00:06:53 3 Magnetism only
00:09:02 4 In Electrostatics
00:11:10 5 Eigenvalue
00:20:41 6 See also



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SUMMARY
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The Maxwell stress tensor (named after James Clerk Maxwell) is a symmetric second-order tensor used in classical electromagnetism to represent the interaction between electromagnetic forces and mechanical momentum. In simple situations, such as a point charge moving freely in a homogeneous magnetic field, it is easy to calculate the forces on the charge from the Lorentz force law. When the situation becomes more complicated, this ordinary procedure can become impossibly difficult, with equations spanning multiple lines. It is therefore convenient to collect many of these terms in the Maxwell stress tensor, and to use tensor arithmetic to find the answer to the problem at hand.
In the relativistic formulation of electromagnetism, the Maxwell's tensor appears as a part of the electromagnetic stress–energy tensor which is the electromagnetic component of the total stress–energy tensor. The latter describes the density and flux of energy and momentum in spacetime.