Physics, Electromagnetism, Math, Mathematics, Calculus.
the second line I used Gauss’s law to rewrite ρ in terms of a diverging electric field. Now, we want to subtract this final term from μ₀(∇⋅J) to ensure the divergence of ∇×B is zero and finally drop the divergences to get our final expression: Ampére’s law with Maxwell’s correction And hence we