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Package graphicx or graphics not loaded%
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set output "exp1-bode.png"
set output "exp2-1-bode.tex"
#load '../common.gnuplot'
set terminal png
load '../common.gnuplot'
unset key
set key center rmargin box height 1
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% GNUPLOT: LaTeX picture with Postscript
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Package graphicx or graphics not loaded%
}{See the gnuplot documentation for explanation.%
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set output "exp2-bode.png"
set output "exp2-2-bode.tex"
#load '../common.gnuplot'
set terminal png
load '../common.gnuplot'
unset key
set key top left box height 1 width 2
@@ -26,7 +24,7 @@ set yrange [-100:100]
set ytics 40
set xlabel "Frequency (Hz)"
set ylabel "Phase (deg)"
set format y " %.0f"
set format y " %.0f"
plot "exp2-2.txt" u 1:4 title "100mH" with points
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gnuplot exp2-1.gnuplot
gnuplot exp2-2.gnuplot
sed -i -f patch-exp2-1.sed exp2-1-bode.tex
sed -i -f patch-exp2-2.sed exp2-2-bode.tex
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s/exp2-1-bode/.\/assets\/a-3\/exp2-1-bode/g;
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s/exp2-2-bode/.\/assets\/a-3\/exp2-2-bode/g;
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\documentclass[japanese,xelatex,a4paper,10.5pt,ja=standard]{bxjsarticle}
\usepackage{tex/preamble}
\usepackage{tex/experiment-title}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{cleveref}
\usepackage{multirow}
\usepackage{pgf}
\usepackage{pgffor}
\usepackage{circuitikz}
\usepackage{subcaption}
\usepackage{tex/depD-bib}
\renewcommand\figurename{Fig. }
\renewcommand\tablename{Table }
\renewcommand\theequation{\thesection-\arabic{equation}}
\renewcommand\thefigure{\thesection-\arabic{figure}}
\renewcommand\thetable{\thesection-\arabic{table}}
\crefdefaultlabelformat{#1}
\crefname{figure}{Fig.}{Fig.}
\Crefname{figure}{Fig.}{Fig.}
\crefname{table}{Table}{Tables}
\Crefname{table}{Table}{Tables}
\crefname{equation}{Eq.}{Eq.}
\Crefname{equation}{Eq.}{Eq.}
\creflabelformat{equation}{(#1)}
\newcommand\resetrefcounter{
\setcounter{equation}{0}
\setcounter{figure}{0}
\setcounter{table}{0}
}
\reportauthor{柴田健琉}
\reporttitle{抵抗・コンデンサ・インダクタの特性}
\reportdate{2026年}{07月}{17日}
\turnindate{2026年}{07月}{21日}
\schoolyear{2026}
\grade{3}
\department{電子制御工学科}
\subject{電子制御工学実験1}
\reportid{A-3}
\expgroup{4班}
\seatingnum{15}
\addResearcher{後藤 }
\addResearcher{佐藤 暖斗}
\addResearcher{高橋 健太}
\addExperimentDate{2026年 06月 30日}
\addExperimentDate{2026年 07月 07日}
\addExperimentDate{2026年 07月 08日}
\addExperimentDate{2026年 07月 14日}
\addbibresource{./bibs/a-3.bib}
\begin{document}
\experimentTitle
\section{実験目的}
今回の実験では,電気回路の基本的な受動素子の特性や動作を確認するために行った.
\input{sections/a-3/theory}
\resetrefcounter
\input{sections/a-3/exp-detail}
\resetrefcounter
\input{sections/a-3/exp-result}
\resetrefcounter
\input{sections/a-3/reflection}
\resetrefcounter
\newpage
\section{まとめ}
今回の実験より以下の事が分かった:
\begin{itemize}
\item {}
\end{itemize}
\printbibliography[title={参考文献}]{}
\end{document}
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\section{実験条件・実験手順}
\subsection{実験器具}
\begin{itemize}
\item{$10 \ \text{k}\Omega$ 抵抗器}
\item{$47 \ \Omega$ 抵抗器}
\item{$1 \ \text{nF}$ コンデンサ}
\item{$100 \ \mu\text{F}$ コンデンサ}
\item{$100 \ \text{mH}$ インダクタ}
\item{ブレッドボード}
\item{ジャンパーワイヤ}
\item{ADALM2000}
\item{オシロスコープ}
\item{ファンクションジェネレータ}
\end{itemize}
\subsection{実験1-1}
ADALM2000を使用してRC直列回路に矩形波を入力し, 応答波形を観察する.
なお, 矩形波の周期は$2t$とし, $t$には回路の時定数の1倍, 5倍, 15倍の値を使用する.
抵抗器には10 $\text{k}\Omega$を, コンデンサには1 nFのものを使用した.
\subsection{実験1-2}
ADALM2000を使用してRL直列回路に矩形波を入力し, 応答波形を観察する.
なお, 矩形波の周期は$2t$とし, $t$には回路の時定数の0.5倍, 5倍, 25倍の値を使用する.
抵抗器には10 $\text{k}\Omega$を, インダクタには100 mHのものを使用した.
\subsection{実験2-1}
\Cref{fig:exp21-cd}のRC直列回路を作成し, ファンクションジェネレータを使用して正弦波を回路に入力し, オシロスコープとマルチメータで1 kHzから1 MHzまでの回路のインピーダンス特性を測定する.
オシロスコープで入力信号と抵抗器の電圧との位相差を測定し, マルチメータで抵抗器の電圧を測定する. 電流は抵抗器の抵抗値と電圧から求める.
なお, 入力周波数が10 kHzを超えるとマルチメータの読みが不正確になるのでオシロスコープで10 kHz以上の信号を測定した.
コンデンサの静電容量は1 nFのものと$100 \ \mu\text{F}$のものをそれぞれ測定する.
\begin{figure}[H]
\centering
\begin{circuitikz}
\ctikzset{bipoles/oscope/waveform=sin}
\draw (0,0) node[ground]{} to [vsourcesin, l={Fn}] ++(0,4) -- ++(2,0) to [C, l={$C$}] ++(0,-2) coordinate (vr) to [R, l={$47 \ \Omega$}] ++(0,-2) node[ground]{};
\draw (vr) to [short, *-] ++(2,0) to [short,-*] ++(0,0.5) node[oscopeshape,anchor=in 1](os){$V_R$} (os.in 2) to [short, *-] ++(0,-0.5) node[ground]{};
\end{circuitikz}
\caption{Circuit Diagram for Experiment 2-1}
\label{fig:exp21-cd}
\end{figure}
\subsection{実験2-2}
\Cref{fig:exp22-cd}のRL直列回路を作成し, ファンクションジェネレータを使用して正弦波を回路に入力し, オシロスコープとマルチメータで1 kHzから1 MHzまでの回路のインピーダンス特性を測定する.
オシロスコープで入力信号と抵抗器の電圧との位相差を測定し, マルチメータで抵抗器の電圧を測定する. 電流は抵抗器の抵抗値と電圧から求める.
なお, 入力周波数が10 kHzを超えるとマルチメータの読みが不正確になるのでオシロスコープで10 kHz以上の信号を測定した.
インダクタは100 mHのものを使用した.
\begin{figure}[H]
\centering
\begin{circuitikz}
\ctikzset{bipoles/oscope/waveform=sin}
\draw (0,0) node[ground]{} to [vsourcesin, l={Fn}] ++(0,4) -- ++(2,0) to [L, l={$100 \ \text{mH}$}] ++(0,-2) coordinate (vr) to [R, l={$47 \ \Omega$}] ++(0,-2) node[ground]{};
\draw (vr) to [short, *-] ++(2,0) to [short, -*] ++(0,0.5) node[oscopeshape,anchor=in 1](os){$V_R$} (os.in 2) to [short, *-] ++(0,-0.5) node[ground]{};
\end{circuitikz}
\caption{Circuit Diagram for Experiment 2-2}
\label{fig:exp22-cd}
\end{figure}
\subsection{実験2-3}
\Cref{fig:exp23-cd}のRLC並列回路を作成し, ADALM2000のネットワークアナライザ機能を使用してコンデンサでの応答特性を測定する.
抵抗器には$R_i$$10 \ \text{k}\Omega$を, $R$$100 \ \text{k}\Omega$を, コンデンサ$C$には1 nFを, そしてインダクタ$L$には100 mHのものを使用した.
\begin{figure}[H]
\centering
\begin{circuitikz}
\draw (0,0) node[ground]{} to [vsourcesin, l={ADALM2000}] ++(0,4) to [R, l={$R_i$}] ++(4,0) coordinate (a) ++(0,-4) coordinate (b);
\draw (a) |- ++(-2, -1) to [R, l={$R$}] ++(0,-2) -| (b);
\draw (a) |- ++(0,-1) to [L, l={$L$}] ++(0,-2) -| (b);
\draw (a) |- ++(2,-1) to [C, l={$C$}] ++(0,-2) -| (b);
\draw (a) ++(0,-1) node[circ]{} (b) ++(0,1) node[circ]{};
\draw (b) node[ground]{};
\end{circuitikz}
\caption{Circuit Diagram for Experiment 2-3}
\label{fig:exp23-cd}
\end{figure}
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\section{実験結果}
\subsection{実験1-1}
\Cref{fig:exp11-res}より, 入力信号の周期を長くするにつれ充放電の様子に違いが見られた.
特に$T_{\text{in}} = 2 \times \tau$の場合では, コンデンサは完全に充放電されなかった.
\begin{figure}[H]
\centering
\begin{minipage}[h]{0.33\textwidth}
\centering
\includegraphics[width=4cm]{./assets/a-3/RC-10kOhm-1nF-1t.png}
\subcaption{$T_{\text{in}} = 2 \times \tau$}
\end{minipage}
\begin{minipage}[h]{0.33\textwidth}
\centering
\includegraphics[width=4cm]{./assets/a-3/RC-10kOhm-1nF-5t.png}
\subcaption{$T_{\text{in}} = 2 \times 5\tau$}
\end{minipage}
\begin{minipage}[h]{0.33\textwidth}
\centering
\includegraphics[width=4cm]{./assets/a-3/RC-10kOhm-1nF-15t.png}
\subcaption{$T_{\text{in}} = 2 \times 15\tau$}
\end{minipage}
\caption{Response of RC Circuit, Used $10 \ \text{k}\Omega$ Resistor and $1 \ \text{nF}$ Capacitor}
\label{fig:exp11-res}
\end{figure}
\subsection{実験1-2}
\Cref{fig:exp12-res}より, コンデンサと似た電圧の充放電波形が得られた.
しかし, $T_{\text{in}} = 2 \times 0.5\tau$では特殊な波形が見られた.
\begin{figure}[H]
\centering
\begin{minipage}[h]{0.33\textwidth}
\centering
\includegraphics[width=4cm]{./assets/a-3/RL-10kOhm-100mH-0.5t.png}
\subcaption{$T_{\text{in}} = 2 \times 0.5\tau$}
\end{minipage}
\begin{minipage}[h]{0.33\textwidth}
\centering
\includegraphics[width=4cm]{./assets/a-3/RL-10kOhm-100mH.png}
\subcaption{$T_{\text{in}} = 2 \times 5\tau$}
\end{minipage}
\begin{minipage}[h]{0.33\textwidth}
\centering
\includegraphics[width=4cm]{./assets/a-3/RL-10kOhm-100mH-25t.png}
\subcaption{$T_{\text{in}} = 2 \times 25\tau$}
\end{minipage}
\caption{Response of RL Circuit, Used $10 \ \text{k}\Omega$ Resistor and $100 \ \text{mH}$ Inductor}
\label{fig:exp12-res}
\end{figure}
\subsection{実験2-1}
\begin{figure}[H]
\centering
\input{./assets/a-3/exp2-1-bode}
\caption{Bode Plot of RC Circuit Response}
\label{fig:exp21-res}
\end{figure}
\subsection{実験2-2}
\begin{figure}[H]
\centering
\input{./assets/a-3/exp2-2-bode}
\caption{Bode Plot of RL Circuit Response}
\label{fig:exp22-res}
\end{figure}
\subsection{実験2-3}
\begin{figure}[H]
\centering
\includegraphics[width=9cm]{./assets/a-3/100kOhm-1nF-100mH.png}
\caption{Bode Plot of RLC Parallel Circuit Response}
\label{fig:exp23-res}
\end{figure}
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\section{考察}
\subsection{実験1-1}
\subsection{実験1-2}
\subsection{実験2-1}
\subsection{実験2-2}
\subsection{実験2-3}
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\section{理論}
\subsection{コンデンサ}
\subsubsection{時定数}
\subsection{インダクタ}
\subsubsection{時定数}
\subsection{共振・半幅値}