What is the electric displacement field for one electron?

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SUMMARY

The Electric Displacement field, denoted as D, for a single electron is defined by the formula D = εE, where ε represents the permittivity of the surrounding material and E is the electric field. This relationship is crucial for applying Maxwell's equations, particularly in understanding how D relates to charge density through the divergence theorem. The discussion emphasizes the importance of recognizing the dependency of D on the material properties surrounding the charge.

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  • Understanding of Maxwell's equations
  • Familiarity with electric fields and permittivity
  • Knowledge of the divergence theorem
  • Basic concepts of electrostatics
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I am teaching myself Maxwells equations for fun and this question may be gibberish but I would like to know know the explicit formula for D for a single elecron so I can practice my use of the divergence theorem and check the divergence is the charge density.
 
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The Electric Displacement vector, D, will depend on the surrounding material. The formula for D is just the permittivity of the surrounding material multiplied by E (in S.I. units).

Claude.
 

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