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 P: 26 Hi We can derive equation $\nabla.D=\rho_f$ from equation $\nabla.E=\rho/\epsilon_0$. But what about Ampere's law? I tried to derive $\nabla\times{H}=J_f+\partial{D}/\partial{t}$ from $\nabla\times{B}=\mu_0J+\epsilon_0\mu_0\partial{E}/\partial{t}$ but I could not. This is strange because I thought that Maxwell's equations in vacuum are enough for studying electromagnetic field in any matter and that Maxwell's equations in matter are derivable from them.