Lab1/Lab1.tex

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\begin{filecontents}[overwrite]{\jobname.bib}
}
\end{filecontents}
\documentclass{article}
\usepackage[backend=biber]{biblatex}
\addbibresource{\jobname.bib}
\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.
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_=$R$ ] (3,0)
to (0,0)
;
\end{circuitikz}
\end{figure}
\section{Analytic Modeling Results}
\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}
\nocite{*}
\printbibliography
\end{document}