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\int_S \frac{\partial\mathbf{D}}{\partial t} \cdot \mathrm{d} \mathbf{A}</math>
\int_S \frac{\partial\mathbf{D}}{\partial t} \cdot \mathrm{d} \mathbf{A}</math>
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where '''B''' denotes the [[magnetic field]], '''E''' denotes the [[electric field]], '''H''' denotes the auxiliary magnetic field, '''J''' denotes the free [[current density]], and <math>\rho</math> denotes the free electric charge density.
In the language of [[Exterior Calculus]], Maxwell's equations can be rewritten much more compactly as:
In the language of [[Exterior Calculus]], Maxwell's equations can be rewritten much more compactly as: