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mathefhtw/Loesung006.tex
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mathefhtw/Loesung006.tex
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\section{Aufgabe 6}
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%\begin{floatingfigure}[l]{72mm}
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%\begin{wrapfigure}[1]{l}{72mm}
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% \includegraphics{Aufgabe006}
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%\end{wrapfigure}
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%\end{floatingfigure}
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\begin{figure}[htbp]
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\begin{minipage}{0.5\textwidth}
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\centering
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\includegraphics{Aufgabe006}
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\end{minipage}\hfill
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\begin{minipage}{0.48\textwidth}
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Gegeben ist der folgende Vierpol:\\
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\begin{list}{\ding{42}}
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{\setlength{\topsep}{0.3cm}
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\setlength{\itemsep}{0.3cm}
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\setlength{\leftmargin}{6mm}
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\setlength{\labelwidth}{4mm}
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\setlength{\parsep}{2mm}
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\setlength{\labelsep}{2mm}
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\renewcommand{\makelabel}[1]{\textbf{#1}}}
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\item[a.]Bestimmen Sie eine Matrix\\$A$ mit $
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A \cdot \left( {\begin{array}{*{20}c}
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{I_1 } \\
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{I_2 } \\
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\end{array}} \right) = \left( {\begin{array}{*{20}c}
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{U_1 } \\
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{U_2 } \\
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\end{array}} \right)$
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($A$ hei<65>t Widerstandsmatrix)
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\item[b.]Berechnen Sie $U_1$ und $U_2$ mit Hilfe von a. f<>r folgende Werte:
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$R_1 = 10\Omega\text{, }R_2 = 20\Omega \text{, }I_1 = 0.5A\text{, }I_2 = 2A.$
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\end{list}
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\end{minipage}
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\end{figure}
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\subsection{L<EFBFBD>sung}
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Vorab:
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\begin{list}{\ding{42}}
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{\setlength{\topsep}{0.2cm}
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\setlength{\itemsep}{0.1cm}
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\setlength{\leftmargin}{6mm}
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\setlength{\labelwidth}{4mm}
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\setlength{\parsep}{2mm}
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\setlength{\labelsep}{2mm}
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\renewcommand{\makelabel}[1]{\textbf{#1}}}
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\item[1)]$I_1+I_2-I=0$
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\item[2)]$U_1-R_2I-R_1I_1=0$
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\item[1)]$U_2-R_2T-R_1I_2=0$
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\end{list}
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