Non physical solutions of Maxwell’s equations

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SUMMARY

This discussion focuses on mathematical solutions to Maxwell's equations that lack physical interpretation. An example provided is the scenario involving a conducting shell with an infinite sea of charge surrounding it, which is deemed unphysical. The conversation emphasizes the distinction between valid mathematical solutions and their applicability to real-world physics, highlighting the importance of physical context in interpreting these solutions.

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  • Understanding of Maxwell's equations
  • Familiarity with electromagnetic theory
  • Knowledge of mathematical modeling in physics
  • Concept of boundary conditions in electrostatics
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  • Research mathematical solutions to Maxwell's equations in various boundary conditions
  • Explore the implications of unphysical solutions in theoretical physics
  • Study the concept of gauge invariance in electromagnetic theory
  • Investigate the role of conducting materials in electrostatic problems
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Physicists, electrical engineers, and students of electromagnetism seeking to deepen their understanding of theoretical solutions in electromagnetic theory.

andonrangelov
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Can someone give me examples of mathematical solution to the Maxwell’s equations that have no physical meaning?
 
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You are inside a conducting shell. Outside the shell is an infinite sea of charge (the unphysical part).
 

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