\section{Leitwert} Der Widerstand des abgebildeten Netzwerkes soll $\uline{Z}=1\,\kilo\ohm\cdot e^{j60\,\degree}$ sein.\\[\baselineskip] Wie groß müssen $R$ und $B_C$ sein, wenn $B_L=-3{,}33\,\milli\siemens$ ist? \ifthenelse{\equal{\toPrint}{Lösung}}{% %\begin{align} %\intertext{Formeln:} %\text{...noch einfügen...} %\end{align} \begin{align*} \begin{tikzpicture}[scale=3] \begin{scope}[>=latex,very thick,xshift=0cm,yshift=1cm]%Widerstand - nach EN 60617 \draw (0,0)--(.3,0) (.3,-0.0667)rectangle(.7,0.0667) (.7,0)--(1,0)node at (.5,.0667) [above] {$R$}; \end{scope} \begin{scope}[>=latex,very thick,xshift=1cm,yshift=0cm,rotate=90]%Kondensator | \draw (0,0)--(.475,0) (.475,-.125)--(.475,.125) (.525,-.125)--(.525,.125) (.525,0)--(1,0)node at (.5,-.133) [right] {$B_C$}; \end{scope} \begin{scope}[>=latex,very thick,xshift=2cm,yshift=0cm,rotate=90]%Spule | \draw (0,0)--(.3,0) (.7,0)--(1,0)node at(.5,-.0667) [right] {$B_L$}; \fill (.3,-0.0667)rectangle(.7,0.0667); \end{scope} \begin{scope}[>=latex,very thick,xshift=0cm,yshift=0cm]%Fehlstellen Eckverbindungen. \draw (.8,1)--(2,1)--(2,.9) (0,0)--(2,0)--(2,.2); \end{scope} \begin{scope}[>=latex,very thick,xshift=0cm,yshift=0cm]%End Knoten \fill (0,0)circle(.02); \fill (0,1)circle(.02); \draw node at (0,.5)[left] {$\uline{Z}\Rightarrow$}; \end{scope} \end{tikzpicture} \end{align*} \begin{align*} \intertext{Berechnung:} \uline{Z}&\stackrel{!}{=}\power{10}{3}\,\ohm\cdot e^{j60\,\degree}\quad\,=(500+j866{,}25)\,\ohm\\ \uline{Z}&=R+\frac{1}{j(B_C+B_L)}=\,\,\, R\,\,\, -j\frac{1}{(B_C+B_L)}\\[\baselineskip] \intertext{$\Re$} R&=\uuline{500\,\ohm}\\ \intertext{$\Im$} B_C+B_L&=\frac{-1}{866{,}25}\,\siemens=-1{,}1547\,\milli\siemens\\ B_C&=-1{,}1547\,\milli\siemens -B_L=-1{,}1547\,\milli\siemens +3{,}33\,\milli\siemens =\uuline{2{,}175\,\milli\siemens}\\ \end{align*} \clearpage }{}%