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Physics — Maxwell's Equations

The four Maxwell equations in differential form.

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\nabla\cdot\mathbf{E} = \frac{\rho}{\varepsilon_0}

\nabla\cdot\mathbf{B} = 0

\nabla\times\mathbf{E} = -\frac{\partial \mathbf{B}}{\partial t}

\nabla\times\mathbf{B} = \mu_0\mathbf{J} + \mu_0\varepsilon_0\frac{\partial \mathbf{E}}{\partial t}