Answer by Puk for Derivation of Coulomb's law from Maxwell's equations
I'd like to point out that Maxwell's equations permit static divergence-free and curl-free background solutions that are more general than just a constant E-field, namely:$$\vec...
View ArticleAnswer by Albertus Magnus for Derivation of Coulomb's law from Maxwell's...
Coulomb's law is in fact, equivalent to one of Maxwell's equations, viz.:$$\nabla\cdot \vec E(\vec r)=\rho(\vec r)/\epsilon_0.$$Now if the case under quesiton concerns a point charge,...
View ArticleAnswer by naturallyInconsistent for Derivation of Coulomb's law from...
From empirical observations, we have reasons to believe that our universe obeys the symmetries of spacetime being homogeneous and isotropic and parity symmetric. The Maxwell's equations are also...
View ArticleDerivation of Coulomb's law from Maxwell's equations
I'm trying to find sufficient additional conditions to derive Coulomb equation for the electric field generated by a steady point charge in free space from Maxwell equations in said conditions.I know...
View ArticleAnswer by Ben H for Derivation of Coulomb's law from Maxwell's equations
how can I prove that the solution of maxwell equations has to be symmetrical if I don't know in advance the equation of the electric field?The answer is: if the charged source has some symmetry...
View ArticleAnswer by Lorenzo Vanni for Derivation of Coulomb's law from Maxwell's equations
I'm answering my own question because I think that maybe I've found a way to put space isotropy in mathematical therms, and infact (in this case) it solves all my problems, so I'd really like an...
View ArticleAnswer by Andrew Steane for Derivation of Coulomb's law from Maxwell's equations
This question illustrates a more general issue that often arises with partial differential equations. There are similar issues in General Relativity for example.The first thing to note is that a given...
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