diff --git a/Final.tex b/Final.tex index bb2475b..7aa2ed2 100644 --- a/Final.tex +++ b/Final.tex @@ -49,20 +49,37 @@ Please observe the conference page limits. \caption{A first-order high-pass filter} \begin{circuitikz}[american voltages] \draw - (0,2) node[above=0.2cm]{$v_{in}$} to [short, o-] [R, l_=$R_1$] (1.5,2) coordinate (IN) + (0,2) node[left=0cm]{$v_{in}$} to [short, o-] [R, l_=$R_1$] (1.5,2) coordinate (IN) (3,3) to [R, l_=$R_2$] (5.375,3) coordinate (FB) (3,2) node[op amp, noinv input down, anchor=-](OA) {} - (OA.-) to [short, *-] ++(0, 1) + (OA.-) to [short, o-] ++(0, 1) (OA.-) to [C=$\frac{1}{sC}$] (IN) - (OA.+) to ++(0,-0.5) node[ground]{} + (OA.+) to [short, o-] ++(0,-0.5) node[ground]{} (OA.out) to ++(0, 0) coordinate (OUT) to (FB) - (OUT) to [short, *-o] ++(1,0) node [right=0.2cm]{$v_{out}$} + (OUT) to [short, *-o] ++(0.5,0) node [right=0.2cm]{$v_{out}$}; + \node (v_p) [above=0cm] at (OA.+) {$v_p$}; + \node (v_p) [below=0cm] at (OA.-) {$v_n$}; ; \end{circuitikz} \end{figure} +A more accurate representation of the op-amp foregoes the assumption, +oft made regarding op-amps wired in a feedback configuration, that +$v_n = v_p$. Avoiding this assumption requires a more precise +description of the properties of the op-amp itself, describing its +input resistance $R_i$, output resistance $R_o$, and the relationship +between the input and output - the open-loop gain $A$. Figure +\ref{img:opamp_internal} depicts such a model. + +\begin{figure}[h] + \caption{A more accurate depiction of an op-amp} + \label{img:opamp_internal} + \centering + \includegraphics[width=0.4\textwidth]{opamp_internal} +\end{figure} + \section{Ease of Use} \subsection{Maintaining the Integrity of the Specifications} diff --git a/opamp_internal.jpg b/opamp_internal.jpg new file mode 100644 index 0000000..d146f96 Binary files /dev/null and b/opamp_internal.jpg differ