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\begin{document}
\title{Symbolic Linear Circuit Analysis Program}
\maketitle
\section*{Voltage Amplifier }
\newpage
\subsection*{.symbolic asymptotic laplace}

\[\frac{\mathrm{V_{load}}}{\mathrm{V_{source}}}=\frac{1.0\, \left(\mathrm{C_{s}}\, \mathrm{R_{s}}\, s + 1.0\right)\, \left(\mathrm{R_{1}} + \mathrm{R_{2}} + \mathrm{C_{ci}}\, \mathrm{R_{1}}\, \mathrm{R_{2}}\, s + \mathrm{C_{f}}\, \mathrm{R_{1}}\, \mathrm{R_{2}}\, s\right)}{\mathrm{R_{2}}\, \left(\mathrm{C_{f}}\, \mathrm{R_{1}}\, s + 1.0\right)\, \left(\mathrm{C_{ci}}\, \mathrm{R_{s}}\, s + \mathrm{C_{s}}\, \mathrm{R_{s}}\, s + 1.0\right)} \] 

\newpage
\subsection*{.symbolic asymptotic matrix}
\[\left(\begin{array}{c}
0\\
0\\
0\\
0\\
0\\
\mathrm{V_{s}}\\
0\\
0\\
0
\end{array}\right)=\left(\begin{array}{ccccccccc}
0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1\\
0 & \frac{1}{\mathrm{R_{1}}} + \frac{1}{\mathrm{R_{2}}} + \mathrm{C_{ci}}\, s + \mathrm{C_{di}}\, s + \mathrm{C_{f}}\, s & - \mathrm{C_{di}}\, s &  - \frac{1}{\mathrm{R_{1}}} - \mathrm{C_{f}}\, s & 0 & 0 & 0 & 0 & 0\\
0 & - \mathrm{C_{di}}\, s & \mathrm{C_{ci}}\, s + \mathrm{C_{di}}\, s & 0 & 0 & 0 & 0 & -1 & 0\\
0 &  - \frac{1}{\mathrm{R_{1}}} - \mathrm{C_{f}}\, s & 0 & \frac{1}{\mathrm{R_{1}}} + \mathrm{C_{\ell}}\, s + \mathrm{C_{f}}\, s & 0 & 0 & -1 & 0 & 0\\
0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0\\
0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0\\
\mathrm{C_{o}}\, \mathrm{R_{o}}\, s + 1 & 0 & 0 &  - \mathrm{C_{o}}\, \mathrm{R_{o}}\, s - 1 & 0 & 0 & - \mathrm{R_{o}} & 0 & 0\\
0 & 0 &  - \mathrm{C_{s}}\, \mathrm{R_{s}}\, s - 1 & 0 & \mathrm{C_{s}}\, \mathrm{R_{s}}\, s + 1 & 0 & 0 & - \mathrm{R_{s}} & 0\\
0 & -1 & 1 & 0 & 0 & 0 & 0 & 0 & 0
\end{array}\right)\left(\begin{array}{c}
\mathrm{V_{amp}}\\
\mathrm{V_{inn}}\\
\mathrm{V_{inp}}\\
\mathrm{V_{load}}\\
\mathrm{V_{source}}\\
\mathrm{I_{V_{source}}}\\
\mathrm{I_{Z_{out}}}\\
\mathrm{I_{Z_{source}}}\\
\mathrm{I_{N_{E_{Amp}}}}
\end{array}\right) \] 

\newpage
\subsection*{.numeric gain laplace}

\[\frac{\mathrm{V_{load}}}{\mathrm{V_{source}}}=\frac{\left(8.77\cdot 10^{-7}\right)\, s + \left(7.541\cdot 10^{-15}\right)\, s^2 - \left(7.067\cdot 10^{-25}\right)\, s^3 + \left(4.492\cdot 10^{-32}\right)\, s^4 + \left(3.136\cdot 10^{-40}\right)\, s^5 + \left(2.212\cdot 10^{-49}\right)\, s^6 + 10.0}{\left(2.758\cdot 10^{-7}\right)\, s + \left(3.032\cdot 10^{-14}\right)\, s^2 + \left(2.588\cdot 10^{-21}\right)\, s^3 + \left(6.948\cdot 10^{-29}\right)\, s^4 + \left(5.827\cdot 10^{-37}\right)\, s^5 + \left(4.23\cdot 10^{-46}\right)\, s^6 + 1.0} \] 

\newpage
\subsection*{.plot gain db .f 10 10M .step C\_f lin 0 4p 5}
\begin{figure}[htb]
\centering
\includegraphics{slicap-gain-db-_f-10-10M-_step-C_f-lin-0-4p-5.png}
\caption{slicap-gain-db-\_f-10-10M-\_step-C\_f-lin-0-4p-5.png}
\end{figure}
\newpage
\subsection*{.plot gain phase .f 10 10M .step C\_f lin 0 4p 5}
\begin{figure}[htb]
\centering
\includegraphics{slicap-gain-phase-_f-10-10M-_step-C_f-lin-0-4p-5.png}
\caption{slicap-gain-phase-\_f-10-10M-\_step-C\_f-lin-0-4p-5.png}
\end{figure}
\newpage
\subsection*{.plot gain step .t 0 2u .step C\_f lin 0 4p 5}
\begin{figure}[htb]
\centering
\includegraphics{slicap-gain-step-_t-0-2u-_step-C_f-lin-0-4p-5.png}
\caption{slicap-gain-step-\_t-0-2u-\_step-C\_f-lin-0-4p-5.png}
\end{figure}
\newpage
\subsection*{.numeric gain pz}

\begin{center}
The zero-frequency value of GAIN = 10.0 [-].
\end{center}


\begin{center}
Poles of GAIN; units HZ. 
\end{center}


\begin{center}
\begin{tabular}
[c]{|r|r|r|r|r|}\hline
\textbf{Poles} & \textbf{Real part} & \textbf{Imaginary part} & \textbf{Magnitude} & \textbf{Q} \\\hline
$1$ & $-0.9115\times 10^{6}$ & $ 0$ & $ 0.9115\times 10^{6}$ & $ - $\\
$2$ & $-0.5214\times 10^{6}$ & $ 1.505\times 10^{6}$ & $ 1.593\times 10^{6}$ & $ 1.528 $\\
$3$ & $-0.5214\times 10^{6}$ & $ -1.505\times 10^{6}$ & $ 1.593\times 10^{6}$ & $ 1.528 $\\
$4$ & $-8.394\times 10^{6}$ & $ 0$ & $ 8.394\times 10^{6}$ & $ - $\\
$5$ & $-9.947\times 10^{6}$ & $ 0$ & $ 9.947\times 10^{6}$ & $ - $\\
$6$ & $-198.9\times 10^{6}$ & $ 0$ & $ 198.9\times 10^{6}$ & $ - $\\
\hline
\end{tabular}
\end{center}


\begin{center}
Zeros of GAIN; units HZ. 
\end{center}


\begin{center}
\begin{tabular}
[c]{|r|r|r|r|r|}\hline
\textbf{Zeros} & \textbf{Real part} & \textbf{Imaginary part} & \textbf{Magnitude} & \textbf{Q} \\\hline
$1$ & $-2.04\times 10^{6}$ & $ 0$ & $ 2.04\times 10^{6}$ & $ - $\\
$2$ & $-15.92\times 10^{6}$ & $ 0$ & $ 15.92\times 10^{6}$ & $ - $\\
$3$ & $23.71\times 10^{6}$ & $ 37.46\times 10^{6}$ & $ 44.33\times 10^{6}$ & $ 0.935 $\\
$4$ & $23.71\times 10^{6}$ & $ -37.46\times 10^{6}$ & $ 44.33\times 10^{6}$ & $ 0.935 $\\
$5$ & $-58.58\times 10^{6}$ & $ 0$ & $ 58.58\times 10^{6}$ & $ - $\\
$6$ & $-196.6\times 10^{6}$ & $ 0$ & $ 196.6\times 10^{6}$ & $ - $\\
\hline
\end{tabular}
\end{center}

\newpage
\subsection*{.plot gain pz .range -3M 1M -2M 2M .step C\_f lin 0 4p 100}
\begin{figure}[htb]
\centering
\includegraphics{slicap-gain-pz-_range--3M-1M--2M-2M-_step-C_f-lin-0-4p-100.png}
\caption{slicap-gain-pz-\_range--3M-1M--2M-2M-\_step-C\_f-lin-0-4p-100.png}
\end{figure}
\newpage
\subsection*{.plot gain pz .range -3M 1M -2M 2M .step A\_0 lin 1m 200k 100}
\begin{figure}[htb]
\centering
\includegraphics{slicap-gain-pz-_range--3M-1M--2M-2M-_step-A_0-lin-1m-200k-100.png}
\caption{slicap-gain-pz-\_range--3M-1M--2M-2M-\_step-A\_0-lin-1m-200k-100.png}
\end{figure}
\newpage
\subsection*{.plot loopgain pz .range -3M 1M -2M 2M .step C\_f lin 0 4p 100}
\begin{figure}[htb]
\centering
\includegraphics{slicap-loopgain-pz-_range--3M-1M--2M-2M-_step-C_f-lin-0-4p-100.png}
\caption{slicap-loopgain-pz-\_range--3M-1M--2M-2M-\_step-C\_f-lin-0-4p-100.png}
\end{figure}
\newpage
\subsection*{.plot asymptotic pz .range -3M 1M -2M 2M .step C\_f lin 0 4p 100}
\begin{figure}[htb]
\centering
\includegraphics{slicap-asymptotic-pz-_range--3M-1M--2M-2M-_step-C_f-lin-0-4p-100.png}
\caption{slicap-asymptotic-pz-\_range--3M-1M--2M-2M-\_step-C\_f-lin-0-4p-100.png}
\end{figure}
\newpage
\subsection*{.plot loopgain polar .f 0.5M 5M .step C\_f lin 0 4p 5}
\begin{figure}[htb]
\centering
\includegraphics{slicap-loopgain-polar-_f-0_5M-5M-_step-C_f-lin-0-4p-5.png}
\caption{slicap-loopgain-polar-\_f-0\_5M-5M-\_step-C\_f-lin-0-4p-5.png}
\end{figure}
\newpage
\subsection*{.plot loopgain dB .f 10 10M .step C\_f lin 0 4p 5}
\begin{figure}[htb]
\centering
\includegraphics{slicap-loopgain-dB-_f-10-10M-_step-C_f-lin-0-4p-5.png}
\caption{slicap-loopgain-dB-\_f-10-10M-\_step-C\_f-lin-0-4p-5.png}
\end{figure}
\newpage
\subsection*{.plot loopgain phase .f 10 10M .step C\_f lin 0 4p 5}
\begin{figure}[htb]
\centering
\includegraphics{slicap-loopgain-phase-_f-10-10M-_step-C_f-lin-0-4p-5.png}
\caption{slicap-loopgain-phase-\_f-10-10M-\_step-C\_f-lin-0-4p-5.png}
\end{figure}
\subsection*{About}

\begin{footnotesize}

 \LaTeX \hspace{1pt} generated by SLiCAP (Symbolic Linear Circuit Analysis Program): a MuPAD application. SLiCAP \copyright 2008-2009, Montagne Design \& Consultancy, Delft, The Netherlands. MuPAD Pro 4.0.6. 'The Open Computer Algebra System' \copyright 1997-2008, is a product of SciFace Software. \today, total SLiCAP  version 3.1 processing time: 89.8 seconds (limit=600 seconds).\end{footnotesize} 
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