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