Elektromagnetische Felder

Preamble

This paper concludes the most important equations and solving algorithms of the RWTH course Elektromagnetische Felder 1.

Maxwell Gleichungen

Maxwellgleichungen in integraler Form

\[\oint \limits _{C}\vec{H} d\vec{r}=\int\limits _{F} (\vec{J}+\frac{\partial}{\partial{t}}\vec{D})d\vec{F}\]

\[\oint \limits _{C}\vec{E} d\vec{r}=-\int\limits _{F}\frac{\partial}{\partial{t}}\vec{B}d\vec{F}\]

\[\oint\limits _F \vec{D} d\vec{F}=\int\limits_{V}\rho dV\]

\[\oint\limits _F \vec{B} d\vec{F}=0\]

Maxwellgleichungen in differentieller Form

\[rot \vec{H}=\vec{J}+\frac{\partial}{\partial t}\vec{D}\]

\[Rot\vec{H}=\vec{J_F}\]