Maxwell Equations Differential

Tags: #physics #maxwell #electricity #magnetism

Equation

$$\nabla \cdot \vec{D}=\rho_{free} \\ \nabla \cdot \vec{B}=0 \\ \nabla \times \vec{E}=-\frac{\partial{\vec{B}}}{\partial{t}} \\ \nabla \times \vec{H}=\vec{J}_{free}+\frac{\partial{\vec{D}}}{\partial{t}}$$

Latex Code

                                 \nabla \cdot \vec{D}=\rho_{free} \\
            \nabla \cdot \vec{B}=0 \\
            \nabla \times \vec{E}=-\frac{\partial{\vec{B}}}{\partial{t}} \\
            \nabla \times \vec{H}=\vec{J}_{free}+\frac{\partial{\vec{D}}}{\partial{t}}
                            

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Introduction

Latex code for differential form of the Maxwell Equations. I will briefly introduce the notations in this formulation.

  • : The electric displacement
  • : The electric field strength
  • : The magnetic flux density
  • : The magnetic field strength

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