\section{Gesamtwiderstand}
Von der Schaltung (Bild 1) sind die Zeiger $\uline{U}_0$ und $\uline{I}_0$ gegeben (Bild 2).
\renewcommand{\labelenumi}{\alph{enumi})}
\begin{enumerate}
\item Ist der Gesamtwiderstand $\uline{Z}$ induktiv, ohmsch oder kapazitiv? (Stichwortartige Begründung !)
\item Vervollständigen Sie Bild 2 zu einem qualitativen Zeigerdiagramm \uline{aller} Ströme und Spannungen.\\
(Rechte Winkel oder Parallelen sind zu kennzeichnen. Alle Ströme und Spannungen müssen im Schaltbild (Bild 1) und im Zeigerbild unmissverständlich benannt werden.)\\
\end{enumerate}
\begin{align*}
	\begin{tikzpicture}[very thick,scale=2]
		\begin{scope}[>=latex,very thick,xshift=0.5cm,yshift=0cm,rotate=90]%Widerstand - nach EN 60617			
			\draw (0,0)--(.3,0) (.3,-0.0667)rectangle(.7,0.0667) (.7,0)--(1,0)node at (.5,-.0667) [right] {$R_C$};
		\end{scope}
		\begin{scope}[>=latex,very thick,xshift=-0.5cm,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] {$C$};
		\end{scope}
		\begin{scope}[>=latex,very thick,xshift=0cm,yshift=-1cm,rotate=90]%Widerstand - nach EN 60617			
			\draw (0,0)--(.3,0) (.3,-0.0667)rectangle(.7,0.0667) (.7,0)--(1,0)node at (.5,-.0667) [right] {$R$};
		\end{scope}
		\begin{scope}[>=latex,very thick,xshift=0cm,yshift=-2cm,rotate=90]%Spule | 			
			\draw (0,0)--(.3,0) (.7,0)--(1,0)node at(.5,-.0667) [right] {$L$};
			\fill (.3,-0.0667)rectangle(.7,0.0667);
		\end{scope}							
		\begin{scope}[>=latex,very thick]%Knotenpunkte
			\draw (-.5,.2)--(-0.5,0)--(.5,0)--(.5,.2) (-1,1)--(.5,1)--(.5,.8) (-1,-2)--(0,-2)--(0,-1.8);
			\draw [->,blue] (-1,.9)--(-1,-1.9)node at(-1,-.5)[right]{$\underline{U}_{0}$};	
			\draw node at(-1,-.5)[left]{$\underline{Z}\Rightarrow$};					
			\fill (-1,1)circle(.025) (-1,-2)circle(.025);
			\draw [->,red] (-.9,1.1)--(-.6,1.1) node at (-.75,1.1)[above]{$\underline{I}_{0}$};			
			\draw node at (0,-2.2)[below]{Bild 1};									
		\end{scope}	
		\begin{scope}[>=latex,very thick,xshift=2cm,yshift=0cm]
			\draw [->,blue] (0,0)--(3,0)node [right]{$\underline{U}_{0}$};
			\draw [->,red] (0,0)--(-33:1.5)node [right]{$\underline{I}_{0}$};
			\draw node at (1.5,-2.2)[below]{Bild 2};		
		\end{scope}				
	\end{tikzpicture}
\end{align*}
\ifthenelse{\equal{\toPrint}{Lösung}}{%
\begin{align}
\intertext{Merksätze:}
&\text{Ohm'scher Widerstand: Strom und Spannung in Phase}\\
&\text{Kondensator: Strom eilt $90\degree$ vor}\\
&\text{Induktivität: Spannung eilt $90\degree$ vor}
\end{align}
Berechnung:\\[\baselineskip]
a) Induktiv, da nacheilender Strom.\\
\begin{align*}
\intertext{b) Schaltbild mit Strom- und Spannungspfeilen ergänzen, Zeigerdiagramm erstellen.}
	\begin{tikzpicture}[very thick,scale=2]
		\begin{scope}[>=latex,very thick,xshift=0.5cm,yshift=0cm,rotate=90]%Widerstand - nach EN 60617			
			\draw (0,0)--(.3,0) (.3,-0.0667)rectangle(.7,0.0667) (.7,0)--(1,0)node at (.5,-.0667) [right] {$R_C$};
			\draw [<-,blue] (.3,.5)--(.7,.5)node at(.5,.5)[right]{\footnotesize$\uline{U}_{C}$}; 
		\end{scope}
		\begin{scope}[>=latex,very thick,xshift=-0.5cm,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] {$C$};
%			\draw [->,blue] (.3,-.2)--(.7,-.2) node at (.5,-.2)[below]{\footnotesize$\uline{U}_{C}$};
		\end{scope}
		\begin{scope}[>=latex,very thick,xshift=0cm,yshift=-1cm,rotate=90]%Widerstand - nach EN 60617			
			\draw (0,0)--(.3,0) (.3,-0.0667)rectangle(.7,0.0667) (.7,0)--(1,0)node at (.5,-.0667) [right] {$R$};
			\draw [<-,blue] (.3,.2)--(.7,.2)node at(.5,.2)[left]{\footnotesize$\uline{U}_{R}$}; 
		\end{scope}
		\begin{scope}[>=latex,very thick,xshift=0cm,yshift=-2cm,rotate=90]%Spule | 			
			\draw (0,0)--(.3,0) (.7,0)--(1,0)node at(.5,-.0667) [right] {$L$};
			\fill (.3,-0.0667)rectangle(.7,0.0667);
			\draw [<-,blue] (.3,.2)--(.7,.2)node at(.5,.2)[left]{\footnotesize$\uline{U}_{L}$};
			\draw [<-,blue] (.5,-.5)--(1.5,-.5)node at(1,-.5)[right]{\footnotesize$\uline{U}_{RL}$};			
		\end{scope}							
		\begin{scope}[>=latex,very thick]%Knotenpunkte
			\draw (-.5,.2)--(-0.5,0)--(.5,0)--(.5,.2) (-1,1)--(.5,1)--(.5,.8) (-1,-2)--(0,-2)--(0,-1.8);
			\draw [->,blue] (-1,.9)--(-1,-1.9)node at(-1,-.5)[right]{$\underline{U}_{0}$};	
			\draw node at(-1,-.5)[left]{$\underline{Z}\Rightarrow$};					
			\fill (-1,1)circle(.025) (-1,-2)circle(.025); 
			\draw [->,red] (-.9,1.1)--(-.6,1.1) node at (-.75,1.1)[above]{$\underline{I}_{0}$};
			\draw [<-,red] (-.7,.3)--(-.7,.7) node at (-.7,.5)[left]{$\underline{I}_{C}$};
			\draw [<-,red] (1.,.3)--(1.,.7) node at (1.,.5)[right]{$\underline{I}_{RC}$};						
%			\draw node at (0,-2.2)[below]{Bild 1};									
		\end{scope}	
		\end{tikzpicture}
\end{align*}
%\begin{align*}
%\uline{I}_0&=\uline{I}_{RC}+\uline{I}_C\\
%\uline{I}_C\,& \bot \,\uline{I}_{RC}\\
%\uline{I}_C &\text{ eilt vor } [\text{ für }\uline{I}_{RC}\text{ und }\uline{I}_{C}]
%\end{align*}
\begin{align*}		
	\begin{tikzpicture}[very thick,scale=2.5]
		\begin{scope}[>=latex,very thick,xshift=0cm,yshift=0cm]
			\draw [->,blue] (0,0)--(3,0)node [above left]{$\underline{U}_{0}$};
			\draw [->,red] (0,0)--(-33:1.5)node at (-33:1)[above right]{$\underline{I}_{0}$};
			\fill [black!50!](-33:.75)circle(.02);			
			\draw [very thin](-33:.0)arc(147:327:.75);
			\draw (-66:1.258)+(24:.15)arc(24:114:.15) ;	%Rechter Winkel	
			\fill (-66:1.258)+(69:.075)circle(.02) ;	%Punkt Rechter Winkel				
			\draw [->,red] (0,0)--(-66:1.258)node at(-68:.8)[above left]{$\underline{I}_{RC}$};	
			\draw [->,red] (-66:1.258)--(-33:1.5)node at (-55:1.2)[above right]{$\underline{I}_{C}$};
			\draw (4,-.3)node [right] {$\uline{I}_0=\uline{I}_{RC}+\uline{I}_C$ und};
			\draw (4,-.6)node [right] {$\uline{I}_C\, \bot \,\uline{I}_{RC}$ (Thaleskreis) und};	
			\draw (4,-.9)node [right] {$\uline{I}_C$ eilt $\uline{I}_{RC}$ vor.};
%			\draw node at (1.5,-2.2)[below]{Bild 2};		
		\end{scope}				
	\end{tikzpicture}
\end{align*}
\begin{align*}		
	\begin{tikzpicture}[very thick,scale=2.5]
		\begin{scope}[>=latex,very thick,xshift=0cm,yshift=0cm]
			\draw [->,blue] (0,0)--(3,0)node at(2,0)[above left]{$\underline{U}_{0}$};
			\draw [->,red] (0,0)--(-33:1.5)node at (-33:1)[above right]{$\underline{I}_{0}$};
			\fill [black!50!](-33:.75)circle(.02);			
			\draw [very thin](-33:.0)arc(147:327:.75);
			\draw [->,red] (0,0)--(-66:1.258)node  at(-68:.8)[above left]{$\underline{I}_{RC}$};	
			\draw [->,red] (-66:1.258)--(-33:1.5)node  at (-55:1.2)[above right]{$\underline{I}_{C}$};					
%			\draw node at (1.5,-2.2)[below]{Bild 2};
			\draw [->,blue] (0,0)--(-66:2)node at(-68:1.5)[above left]{$\underline{U}_{C}$};	
			\draw [->,blue] (-66:2)--(3,0)node at (2.5,-.2)[below left]{$\underline{U}_{RL}$};
%			\draw [red,very thin,dashed](-66:.5)arc(114:-66:1.5) (0:3)+(114:1.5)arc(114:294:1.5);%Seitenhalbierende	
			\draw [very thin,dashed](-66:2.0)+(70:1.5)arc(70:10:1.5) (0:3)+(190:1.5)arc(190:250:1.5);%Seitenhalbierende	Teilkreise
			\fill [black!60!](-25.6:2.115)circle(.02); %Mittelpunkt Thaleskreis	2		
			\draw [very thin](0:3)arc(40:-140:1.425); %Tahleskreis 2
			\draw [very thin](-14.3:1.5)--(-31.9:2.8);	%Seitenhalbierende				
			\draw (-66:1.258)+(24:.15)arc(24:114:.15) ;	%Rechter Winkel	
			\fill (-66:1.258)+(69:.075)circle(.02) ;	%Punkt Rechter Winkel	
			\draw [->,blue!50!red](-66:2)--+(-30:1)node at(1.2,-2.3)[below right]{$\underline{U}_{R}$};	
			\draw [->,blue!50!red](-66:2)--+(-30:1)--(0:3)node at(2.6,-.7)[below right]{$\underline{U}_{L}$};	
			\draw (-66:2)++(-30:1)++(60:0.15)arc(60:150:.15) ;	%Rechter Winkel	
			\fill (-66:2)++(-30:1)++(106:.075)circle(.02) ;	%Punkt Rechter Winkel	
			\draw (4,-.6)node [right] {$\uline{U}_C\, ||\, \uline{I}_{RC}$};
			\draw (4,-.9)node [right] {$\uline{U}_{0}=\uline{U}_C+\uline{U}_{RL}$};	
			\draw (4,-1.5)node [right] {$\uline{U}_R\, ||\, \uline{I}_{0}$};
			\draw (4,-1.8)node [right] {$\uline{U}_{RL}=\uline{U}_{R}+\uline{U}_{L}$};
			\draw (4,-2.1)node [right] {$\uline{U}_L\, \bot \,\uline{U}_R$ (oder $\uline{U}_L\, \bot \,\uline{I}_0$)}; 
                        \draw (4,-2.4)node [right] {$\uline{U}_L\,$ eilt $\uline{U}_R\,$ vor};												
		\end{scope}	
		\begin{scope}[>=latex,xshift=.86cm,yshift=-.552cm]%Parallelen
			\draw [double](0:-.1)--+(57:.1);		
		\end{scope}		
		\begin{scope}[>=latex,xshift=1.4cm,yshift=-2.167cm]%Parallelen
			\draw [double](0:-.1)--+(57:.1);
		\end{scope}							
	\end{tikzpicture}
\end{align*}
\clearpage
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