From 9aedcf7a1a81b6b7fa88a3eb118a6a3ec6c1dd05 Mon Sep 17 00:00:00 2001
From: Martin Kennedy <hurricos@gmail.com>
Date: Mon, 5 May 2025 07:45:23 -0400
Subject: [PATCH] tl081 finish, opa818 finish

---
 Final.tex | 34 +++++++++++++++++++++++++---------
 1 file changed, 25 insertions(+), 9 deletions(-)

diff --git a/Final.tex b/Final.tex
index 6717ff0..08989c3 100644
--- a/Final.tex
+++ b/Final.tex
@@ -262,10 +262,13 @@ $\tau = \frac{1}{\omega_c}$ and $A_0$:
   A(s) = \frac{A_0}{\tau s + 1}
 \end{equation}
 
-$A_0$ represents the peak gain; here, $\SI{106}{dB} \approx
-\SI{2E5}{}$. Since $\omega_c = 25$ rad/s.
+$A_0$ represents the peak gain; we can see from Figure
+\ref{img:lm741_oclsg} that this is about
+$\SI{106}{dB} \approx \SI{2E5}{}$. The cut-off frequency is that for
+which the gain is $\SI{6}{dB}$ less than this peak - this is
+approximately $\omega_c = 25$ rad/s. This yields:
 
-\subsection{An improvement: The TL081}
+\subsection{An improvement: the TL081}
 
 \begin{figure}[h]
   \caption{The large-signal open-loop gain of the TL081}
@@ -274,6 +277,25 @@ $A_0$ represents the peak gain; here, $\SI{106}{dB} \approx
   \includegraphics[width=0.4\textwidth]{tl08xx_oclsg}
 \end{figure}
 
+In this case, the peak gain $A_0$ is still approximately $\SI{2E5}{}$
+(agreeing with earlier content of the datasheet, noting
+$A_{VD}= 200V/mV$ typical). The cut-off frequency, however, is much
+higher, closer to $\omega_c = 210$ rad/s.
+
+\subsection{A whole new world: the OPA818}
+
+\begin{figure}[h]
+  \caption{The open-loop gain of the OPA818}
+  \label{img:opa818_olgm}
+  \centering
+  \includegraphics[width=0.4\textwidth]{opa818_olgm}
+\end{figure}
+
+While the OPA818 has a lower peak gain of
+$A_0 \approx \SI{92}{dB} \approx \SI{4E4}{}$, it is a much
+higher-bandwidth part, with a cutoff frequency of approximately
+$\SI{7E5}{}$ rad/s.
+
 \subsection{The ideal op-amp}
 
 In the case of the ideal op-amp, the transfer function is much
@@ -479,12 +501,6 @@ citation first, followed by the original foreign-language citation \cite{b6}.
 \bibitem{b2} J. W. Nilsson and S. A. Riedel, Electric Crircuits, 12th ed., Hoboken: Pearson, 2022, p.168
 \bibitem{b3} J. W. Nilsson and S. A. Riedel, Electric Crircuits, 12th ed., Hoboken: Pearson, 2022, p.576
 \bibitem{b4} ``MSF radio time signal,'' NPLWebsite. https://www.npl.co.uk/msf-signal
-\bibitem{b5} R. Nicole, ``Title of paper with only first word capitalized,'' J. Name Stand. Abbrev., in press.
-\bibitem{b6} Y. Yorozu, M. Hirano, K. Oka, and Y. Tagawa, ``Electron spectroscopy studies on magneto-optical media and plastic substrate interface,'' IEEE Transl. J. Magn. Japan, vol. 2, pp. 740--741, August 1987 [Digests 9th Annual Conf. Magnetics Japan, p. 301, 1982].
-\bibitem{b7} M. Young, The Technical Writer's Handbook. Mill Valley, CA: University Science, 1989.
 \end{thebibliography}
 \vspace{12pt}
-\color{red}
-IEEE conference templates contain guidance text for composing and formatting conference papers. Please ensure that all template text is removed from your conference paper prior to submission to the conference. Failure to remove the template text from your paper may result in your paper not being published.
-
 \end{document}