\documentclass{article} \usepackage{circuitikz} \usepackage{siunitx} \usepackage[a4paper, total={6in, 8in}]{geometry} \usepackage{graphicx} \usepackage[T1]{fontenc} \usepackage{framed} \usepackage{longtable,booktabs,array} \usepackage{caption} \title{Lab 1} \author{Martin Kennedy} \begin{document} \maketitle \section{Introduction} Unlike DC signals, AC signals are time-varying, posing unique challenges to recording, characterizing and otherwise studying them. In this lab, we will examine the circuit depicted in fig.~\ref{fig:circ}, and focus on comparing the measurement of one aspect of an AC signal -- the RMS voltage -- as seen by two tools: the Digital Multimeter (DMM), and the oscillscope. We will use numerical and analytical methods to model this circuit and derive expected RMS values for comparison. \section{Analytic Modeling Results} Figure~\ref{fig:circ} depicts the circuit we are studying. \begin{figure}[h] \caption{Our simple circuit} \label{fig:circ} \centering \begin{circuitikz}[american voltages] \draw (0,0) to [sV,l=$V_{in}$] (0,2) to (3,2) to [ R, l_=${R=\SI{7.5}{\kohm}}$ ] (3,0) to (0,0) ; \end{circuitikz} \end{figure} \section{Numerical Modeling Results} \section{Experimental Results} \section{Data Comparison} \section{Conclusions} \begin{longtable}[]{@{}lllllllll@{}} \toprule \endhead \bottomrule \endlastfoot Set Mag. & Set Freq. & Read Mag. & Read Period & Calc. Freq. & Calc. RMS & Meas. RMS \\ 2V & 100 Hz & 2.10 V & 9.994 ms & XXXXXHz & .....V & 1.4236 V \\ 2V & 50 kHz & 2.05 V & 19.947 us & a & d & 1.4112 V \\ 5V & 100 Hz & 5.11 V & 10.007 ms & b & e & 3.5522 V \\ 5V & 50 kHz & 5.11 V & 20.005 us & c & f & 3.5451 V \\ \end{longtable} \end{document}