Coulomb's Law of Electric Displacement -- Why is there none?

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SUMMARY

The discussion centers on the absence of a Coulomb's Law specifically for electric displacement, denoted as D. Participants highlight that D is fundamentally a function of the electric field E, polarization P, and permittivity ε. The conversation suggests that while Coulomb's Law can be derived from the Lorentz force, a direct formulation for electric displacement remains elusive due to the complexities involved in its relationship with these variables.

PREREQUISITES
  • Understanding of electric displacement field (D)
  • Familiarity with electric field (E) and polarization (P)
  • Knowledge of permittivity (ε) in electromagnetism
  • Basic grasp of Lorentz force and its implications
NEXT STEPS
  • Research the mathematical relationship between electric displacement (D), electric field (E), and polarization (P)
  • Explore advanced concepts in electromagnetism, focusing on the role of permittivity (ε)
  • Study the derivation of Coulomb's Law from the Lorentz force
  • Investigate alternative formulations of electric displacement in different materials
USEFUL FOR

Students and professionals in physics, electrical engineering, and materials science who are interested in the theoretical foundations of electromagnetism and the behavior of electric fields in various media.

fricke
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Why is there no Coulomb's Law for the electric displacement?
 
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Why don't you see if you can construct one? D is a function of E, P, and ##\epsilon##, and Coulomb's Law can be obtained from the Lorentz force.
 

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