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Benedikt Rosarius edited 1.5.tex
about 9 years ago
Commit id: 4dd440af0176a5d86ec3a6157045b6d379556d58
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\section{Kontinuitätsgleichung}
$$rot\vec{H}=\vec{J}+\frac{\partial}{\partial t}\vec{D}$$
$$\rightarrow $rot\vec{H}=\vec{J}+\frac{\partial}{\partial t}\vec{D}$
$\rightarrow div(rot\vec{H})=div\vec{J}+\underbrace{div(\frac{\partial}{\partial
t}\vec{D})}$$
$$\rightarrow t}\vec{D})}$
$\rightarrow div\vec{J}=-\frac{\partial}{\partial
t}\rho$$
$$div\vec{J}+\frac{\partial\rho}{\partial t}=0$$
$$\int\limits t}\rho$
$div\vec{J}+\frac{\partial\rho}{\partial t}=0$
$\int\limits _V
div\vec{J}dV=-\frac{dQ}{dt}$$ div\vec{J}dV=-\frac{dQ}{dt}$
\subsection{Grenzbedingung}
$Div\vec{J}+\frac{\partial\rho $$Div\vec{J}+\frac{\partial\rho _I}{\partial
t}=0$ t}=0$$