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Benedikt Rosarius edited 1.5.tex
about 9 years ago
Commit id: df3adf0f1f5e73d2e915ee51ab8f7c1761495d59
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\section{Kontinuitätsgleichung}
$$div\vec{J}+\frac{\partial\rho}{\partial t}=0$$
$$\int\limits $rot\vec{H}=\vec{J}+\frac{\partial}{\partial t}\vec{D}$
$\rightarrow div(rot\vec{H})=div\vec{J}+\underbrace{div(\frac{\partial}{\partial t}\ve{D})}$
$\rightarrow div\vec{J}=-\frac{\partial}{\partial t}\rho$
$div\vec{J}+\frac{\partial\rho}{\partial t}=0$
$\int\limits _V
div\vec{J}dV=-\frac{dQ}{dt}$$ 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$