Maxwell Equations Integral
Tags: #physics #maxwell #electricity #magnetismEquation
$$\oiint (\vec{D}\cdot \vec{n}) \mathrm{d}^{2}A=Q_{\text{free,included}}\\ \oiint (\vec{B}\cdot \vec{n}) \mathrm{d}^{2}A=0 \\ \oint \vec{E} \mathrm{d}\vec{s}=-\frac{\mathrm{d}\Phi}{\mathrm{d}t}\\ \oint \vec{H} \mathrm{d}\vec{s}=I_{\text{free,included}}+\frac{\mathrm{d}\Psi }{\mathrm{d}t}$$Latex Code
\oiint (\vec{D}\cdot \vec{n}) \mathrm{d}^{2}A=Q_{\text{free,included}}\\ \oiint (\vec{B}\cdot \vec{n}) \mathrm{d}^{2}A=0 \\ \oint \vec{E} \mathrm{d}\vec{s}=-\frac{\mathrm{d}\Phi}{\mathrm{d}t}\\ \oint \vec{H} \mathrm{d}\vec{s}=I_{\text{free,included}}+\frac{\mathrm{d}\Psi }{\mathrm{d}t}
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Introduction
Latex code for integral 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 In the formulation, the first formula (1) describes the property of electric displacement . The second formula (2) describes the property of magnetic flux density . The third formula (3) describes how the variation in magnetic flux density influence the electric field strength . The fourth formula (4) describes how the variation in electric displacement influence the magnetic field strength .
Related Documents
- Physics Formulary
- Maxwell’s Equations in Differential Form
- Maxwell's Equations in Differential Form - University of Toronto
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