How to derive Maxwell stress-energy tensor

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Homework Help Overview

The discussion revolves around deriving the Maxwell stress-energy tensor in a vacuum, specifically focusing on the interplay between mechanical systems and electromagnetism as described by the Lorentz force.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to begin the derivation, referencing previous coursework in Griffiths Electrodynamics. Participants are prompted to share their understanding and progress.

Discussion Status

The conversation is ongoing, with participants exploring the initial steps needed for the derivation. A hint has been provided to review relevant chapters for guidance, but no consensus or clear direction has been established yet.

Contextual Notes

Participants note that the class has covered specific chapters in Griffiths Electrodynamics, which may influence their understanding and approach to the problem.

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The problem statement is:

Assuming that we are in vacuum, and that the only work done between mechanical systems and
electricity and magnetism comes from the Lorentz force, give a full, relativistic derivation of the
Maxwell stress-energy tensor.
 
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Can you show us what you know and what you've done so far?
 
@ZetaOfThree

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i know the answer should be this

But the question is "how to derive that", our class have finished Griffiths Electrodynamics chapter 12 (relativity in electrodynamics) and now doing chapter 8 (conservation law). I really don't know where to get started.

@ZetaOfThree
 
Well, my hint to you would be read the chapter... there you'll find a lot of help.
 

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