marsultor/physics-lab-report-resitivity
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should be good

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Krishna Ayyalasomayajula
2026-03-30 21:50:22 -05:00
parent 773fe6cde8
commit 7512c6228a
7 changed files with 308 additions and 18 deletions
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mnras_template.tex
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@@ -51,7 +51,6 @@
% Only include extra packages if you really need them. Avoid using amssymb if newtxmath is enabled, as these packages can cause conflicts. newtxmatch covers the same math symbols while producing a consistent Times New Roman font. Common packages are:
\usepackage{graphicx} % Including figure files
\usepackage{amsmath} % Advanced maths commands
\usepackage{pdflscape} % Landscape environment
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@@ -83,7 +82,7 @@ $^{2}$Physics, Plano East Senior High School, 3000 Los Rios Blvd, Plano, TX 7507
}
% These dates will be filled out by the publisher
\date{Accepted XXX. Received YYY; in original form ZZZ}
\date{\today}
% Prints the current year, for the copyright statements etc. To achieve a fixed year, replace the expression with a number.
\pubyear{\the\year{}}
@@ -145,22 +144,44 @@ Refer back to them as e.g. equation~(\ref{eq:quadratic}).
\subsection{Results and Discussion}
\begin{landscape}
\begin{table}
\caption{Resistance measurements for different wire cross-sectional areas at varying probe distances. All resistance values measured in $\Omega$.}
\label{tab:resistance}
\begin{tabular}{cccccc}
\hline
Area & \multicolumn{5}{c}{Probe distance} \\
(mm$^2$) & 20 cm & 40 cm & 60 cm & 80 cm & 100 cm \\
\hline
0.1285 (26 AWG) & 2.6 $\Omega$ & 5.6 $\Omega$ & 4.5 $\Omega$ & 9.3 $\Omega$ & 10.0 $\Omega$ \\
0.06424 (29 AWG) & 4.7 $\Omega$ & 8.9 $\Omega$ & 13.6 $\Omega$ & 18.0 $\Omega$ & 22.6 $\Omega$ \\
0.03204 (32 AWG) & 9.0 $\Omega$ & 18.1 $\Omega$ & 27.3 $\Omega$ & 36.3 $\Omega$ & 45.4 $\Omega$ \\
\hline
\end{tabular}
\end{table}
\end{landscape}
\begin{table*}
\caption{Resistance measurements for different wire cross-sectional areas at varying probe distances. All resistance values measured in $\Omega$.}
\label{tab:resistance}
\begin{tabular}{lrrrrr}
\hline
Area & \multicolumn{5}{c}{Probe distance} \\
(mm$^2$) & 20 cm & 40 cm & 60 cm & 80 cm & 100 cm \\
& ($\Omega$) & & & & \\
\hline
0.1285 (26 AWG) & 2.6 & 5.6 & 4.5 & 9.3 & 10.0 \\
0.06424 (29 AWG) & 4.7 & 8.9 & 13.6 & 18.0 & 22.6 \\
0.03204 (32 AWG) & 9.0 & 18.1 & 27.3 & 36.3 & 45.4 \\
\hline
\end{tabular}
\end{table*}
\begin{figure*}
\centering
\includegraphics[width=\textwidth]{wire_resistance_regression}
\caption{Linear regression analysis of resistance vs probe distance for three wire gauges. Experimental data points (circles) and best-fit regression lines are shown for each AWG gauge. Regression equations: 26 AWG: R = 0.0925L + 0.8500, 29 AWG: R = 0.2245L + 0.0900, 32 AWG: R = 0.4550L - 0.0800 (R, L in $\Omega$, cm). Note: 26 AWG data contains experimental outlier at L=60 cm (4.5 $\Omega$ vs expected 6.4 $\Omega$).}
\label{fig:wire_regression}
\end{figure*}
\begin{table*}
\caption{Linear regression parameters and calculated resistivity for all three wire gauges. Note: 26 AWG data contains experimental outlier at L=60 cm.}
\label{tab:regression_params}
\begin{tabular}{ccccc}
\hline
AWG & Area (mm$^2$) & Slope ($\Omega$/cm) & Resistivity ($\Omega\cdot$cm) & R$^2$ \\
\hline
26 & 0.1285 & 0.092500 & 0.000119 & 0.854343 \\
29 & 0.06424 & 0.224500 & 0.000144 & 0.999747 \\
32 & 0.03204 & 0.455000 & 0.000146 & 1.000000 \\
\hline
\end{tabular}
\end{table*}
\section{Conclusions}