What is the electric displacement field for one electron?

AI Thread Summary
The Electric Displacement field, D, is influenced by the surrounding material and is calculated as the product of the permittivity of that material and the electric field E. For a single electron, the divergence of D should correspond to the charge density, allowing for practice with the divergence theorem. Understanding this relationship is crucial for applying Maxwell's equations effectively. The explicit formula for D can be derived based on these principles. Mastery of these concepts will enhance comprehension of electromagnetic theory.
Damned charming :)
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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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