Discussion
Maxwell's first equation in differential form states that
Answer: D
Correct answer: \( \nabla \cdot \mathbf{D} = \rho_v \)
This is Gauss’s law at a point: the divergence of the flux density equals the volume charge density there. The integral form follows by the divergence theorem. Note that it is \( \mathbf{D} \) rather than \( \mathbf{E} \) that appears, which is what makes the equation hold in any medium without a permittivity in it.
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