fixed t-1

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assets/a-2/exp1.gnuplot

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 set output "exp1.tex"
 set encoding utf8
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 x / 2.2 linetype 2 title "", \
 x / 3.3 linetype 3 title "", \
 'exp1-theory.dat' using 1:($2 * 1000):($3 * 1000):($4 * 1000) linetype 1 linewidth 2 title "Theory (1.0k Ohm)" with yerrorbars, \
-'exp1-result.dat' using 1:($2 * 1000) title "Result (1.0k Ohm)" with points, \
+'exp1-result.dat' using 1:($2 * 1000) title "Result (1.0k Ohm)" with points pt "x", \
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+'exp1-theory.dat' using 5:($6 * 1000):($7 * 1000):($8 * 1000) linetype 2 linewidth 4 title "Theory (2.2k Ohm)" with yerrorbars, \
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 'exp1-result.dat' using 5:($6 * 1000) title "Result (3.3k Ohm)" with points
 
-
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-#'exp1-result.dat' using 5:($6 * 1000) title "Result" with points
-#
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assets/a-2/exp1.tex

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assets/a-3/exp2-1-bode.tex

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-      \expandafter\def\csname LT3\endcsname{\color{black}}%
-      \expandafter\def\csname LT4\endcsname{\color{black}}%
-      \expandafter\def\csname LT5\endcsname{\color{black}}%
-      \expandafter\def\csname LT6\endcsname{\color{black}}%
-      \expandafter\def\csname LT7\endcsname{\color{black}}%
-      \expandafter\def\csname LT8\endcsname{\color{black}}%
-    \fi
-  \fi
-    \setlength{\unitlength}{0.0500bp}%
-    \ifx\gptboxheight\undefined%
-      \newlength{\gptboxheight}%
-      \newlength{\gptboxwidth}%
-      \newsavebox{\gptboxtext}%
-    \fi%
-    \setlength{\fboxrule}{0.5pt}%
-    \setlength{\fboxsep}{1pt}%
-    \definecolor{tbcol}{rgb}{1,1,1}%
-\begin{picture}(6802.00,4534.00)%
-    \gplgaddtomacro\gplbacktext{%
-      \csname LTb\endcsname%%
-      \put(1078,2487){\makebox(0,0)[r]{\strut{}1e+02}}%
-      \put(1078,2944){\makebox(0,0)[r]{\strut{}1e+03}}%
-      \put(1078,3400){\makebox(0,0)[r]{\strut{}1e+04}}%
-      \put(1078,3857){\makebox(0,0)[r]{\strut{}1e+05}}%
-      \put(1078,4313){\makebox(0,0)[r]{\strut{}1e+06}}%
-      \put(1210,2267){\makebox(0,0){\strut{}}}%
-      \put(2066,2267){\makebox(0,0){\strut{}}}%
-      \put(2921,2267){\makebox(0,0){\strut{}}}%
-      \put(3777,2267){\makebox(0,0){\strut{}}}%
-      \put(4632,2267){\makebox(0,0){\strut{}}}%
-    }%
-    \gplgaddtomacro\gplfronttext{%
-      \csname LTb\endcsname%%
-      \put(5814,3510){\makebox(0,0)[r]{\strut{}1nF}}%
-      \put(5814,3290){\makebox(0,0)[r]{\strut{}100uF}}%
-      \put(209,3400){\rotatebox{-270.00}{\makebox(0,0){\strut{}Impedance ($\Omega$)}}}%
-    }%
-    \gplgaddtomacro\gplbacktext{%
-      \csname LTb\endcsname%%
-      \put(1078,704){\makebox(0,0)[r]{\strut{}  -30}}%
-      \put(1078,973){\makebox(0,0)[r]{\strut{}  0}}%
-      \put(1078,1241){\makebox(0,0)[r]{\strut{}  30}}%
-      \put(1078,1510){\makebox(0,0)[r]{\strut{}  60}}%
-      \put(1078,1778){\makebox(0,0)[r]{\strut{}  90}}%
-      \put(1078,2047){\makebox(0,0)[r]{\strut{}  120}}%
-      \put(2066,484){\makebox(0,0){\strut{}1k}}%
-      \put(2921,484){\makebox(0,0){\strut{}10k}}%
-      \put(3777,484){\makebox(0,0){\strut{}100k}}%
-      \put(4632,484){\makebox(0,0){\strut{}1M}}%
-      \put(1210,484){\makebox(0,0){\strut{}}}%
-    }%
-    \gplgaddtomacro\gplfronttext{%
-      \csname LTb\endcsname%%
-      \put(5814,1485){\makebox(0,0)[r]{\strut{}1nF}}%
-      \put(5814,1265){\makebox(0,0)[r]{\strut{}100uF}}%
-      \put(209,1375){\rotatebox{-270.00}{\makebox(0,0){\strut{}Phase ($\ \textdegree$)}}}%
-      \put(3050,154){\makebox(0,0){\strut{}Frequency (Hz)}}%
-    }%
-    \gplbacktext
-    \put(0,0){\includegraphics[width={340.10bp},height={226.70bp}]{./assets/a-3/exp2-1-bode}}%
-    \gplfronttext
-  \end{picture}%
-\endgroup

assets/a-3/exp2-1.gnuplot

@@ -1,32 +0,0 @@
-set output "exp2-1-bode.tex"
-
-load '../common.gnuplot'
-
-unset key
-set key center rmargin box height 1
-
-set log x
-set log y
-set xrange [1e2:2e6]
-
-set multiplot layout 2,1 rowsfirst
-
-set xlabel 
-set ylabel "Impedance ($\\Omega$)"
-set format x ""
-set format y "%.1g"
-
-plot "exp2-1_1nF-Z.txt" u 1:2 title "1nF" with points pt 2, "exp2-1_100uF-Z.txt" u 1:2 title "100uF" with points pt 4
-
-unset log y
-set xtics add ("1k" 1e3, "10k" 1e4, "100k" 1e5, "1M" 1e6)
-set yrange [-30:120]
-set ytics 30
-set xlabel "Frequency (Hz)"
-set ylabel "Phase ($\\ \\textdegree$)"
-set format y "  %.0f"
-
-plot "exp2-1_1nF.txt" u 1:4 title "1nF" with points pt 2, "exp2-1_100uF.txt" u 1:4 title "100uF" with points pt 4 
-
-unset multiplot
-

assets/a-3/exp2-1_100uF-Z.txt

@@ -1,7 +0,0 @@
-1000, 54484.076433
-5000, 54484.076433
-10000, 51530.120482
-50000, 50703.030303
-100000, 50133.333333
-500000, 49848.484848
-1000000, 49901.234568

assets/a-3/exp2-1_100uF.txt

@@ -1,7 +0,0 @@
-1000, 1.82, 1.57, 0
-5000, 1.82, 1.57, 0
-10000, 1.82, 1.66, 0
-50000, 1.78, 1.65, 0
-100000, 1.76, 1.65, 0
-500000, 1.75, 1.65, -1
-1000000, 1.72, 1.62, -4

assets/a-3/exp2-1_1nF-Z.txt

@@ -1,7 +0,0 @@
-1000, 156231.481481
-5000, 31626.168224
-10000, 15887.947269
-50000, 3139.245283
-100000, 1581.730769
-500000, 319.676113
-1000000, 167.779070

assets/a-3/exp2-1_1nF.txt

@@ -1,7 +0,0 @@
-1000, 3.59, 1.08/1000, 90
-5000, 3.60, 5.35/1000, 100
-10000, 3.59, 10.62/1000, 90
-50000, 3.54, 53/1000, 88
-100000, 3.50, 104/1000, 88
-500000, 3.36, 494/1000, 80
-1000000, 3.07, 860/1000, 70

assets/a-3/exp2-2-Z.txt

@@ -1,7 +0,0 @@
-1000, 563.356164
-5000, 2678.253968
-10000, 5084.545455
-50000, 12690.000000
-100000, 83928.571429
-500000, 31064.761905
-1000000, 14391.150442

assets/a-3/exp2-2-bode.tex

@@ -1,126 +0,0 @@
-% GNUPLOT: LaTeX picture with Postscript
-\begingroup
-  \fontfamily{Arial}%
-  \selectfont
-  \makeatletter
-  \providecommand\color[2][]{%
-    \GenericError{(gnuplot) \space\space\space\@spaces}{%
-      Package color not loaded in conjunction with
-      terminal option `colourtext'%
-    }{See the gnuplot documentation for explanation.%
-    }{Either use 'blacktext' in gnuplot or load the package
-      color.sty in LaTeX.}%
-    \renewcommand\color[2][]{}%
-  }%
-  \providecommand\includegraphics[2][]{%
-    \GenericError{(gnuplot) \space\space\space\@spaces}{%
-      Package graphicx or graphics not loaded%
-    }{See the gnuplot documentation for explanation.%
-    }{The gnuplot epslatex terminal needs graphicx.sty or graphics.sty.}%
-    \renewcommand\includegraphics[2][]{}%
-  }%
-  \providecommand\rotatebox[2]{#2}%
-  \@ifundefined{ifGPcolor}{%
-    \newif\ifGPcolor
-    \GPcolorfalse
-  }{}%
-  \@ifundefined{ifGPblacktext}{%
-    \newif\ifGPblacktext
-    \GPblacktexttrue
-  }{}%
-  % define a \g@addto@macro without @ in the name:
-  \let\gplgaddtomacro\g@addto@macro
-  % define empty templates for all commands taking text:
-  \gdef\gplbacktext{}%
-  \gdef\gplfronttext{}%
-  \makeatother
-  \ifGPblacktext
-    % no textcolor at all
-    \def\colorrgb#1{}%
-    \def\colorgray#1{}%
-  \else
-    % gray or color?
-    \ifGPcolor
-      \def\colorrgb#1{\color[rgb]{#1}}%
-      \def\colorgray#1{\color[gray]{#1}}%
-      \expandafter\def\csname LTw\endcsname{\color{white}}%
-      \expandafter\def\csname LTb\endcsname{\color{black}}%
-      \expandafter\def\csname LTa\endcsname{\color{black}}%
-      \expandafter\def\csname LT0\endcsname{\color[rgb]{1,0,0}}%
-      \expandafter\def\csname LT1\endcsname{\color[rgb]{0,1,0}}%
-      \expandafter\def\csname LT2\endcsname{\color[rgb]{0,0,1}}%
-      \expandafter\def\csname LT3\endcsname{\color[rgb]{1,0,1}}%
-      \expandafter\def\csname LT4\endcsname{\color[rgb]{0,1,1}}%
-      \expandafter\def\csname LT5\endcsname{\color[rgb]{1,1,0}}%
-      \expandafter\def\csname LT6\endcsname{\color[rgb]{0,0,0}}%
-      \expandafter\def\csname LT7\endcsname{\color[rgb]{1,0.3,0}}%
-      \expandafter\def\csname LT8\endcsname{\color[rgb]{0.5,0.5,0.5}}%
-    \else
-      % gray
-      \def\colorrgb#1{\color{black}}%
-      \def\colorgray#1{\color[gray]{#1}}%
-      \expandafter\def\csname LTw\endcsname{\color{white}}%
-      \expandafter\def\csname LTb\endcsname{\color{black}}%
-      \expandafter\def\csname LTa\endcsname{\color{black}}%
-      \expandafter\def\csname LT0\endcsname{\color{black}}%
-      \expandafter\def\csname LT1\endcsname{\color{black}}%
-      \expandafter\def\csname LT2\endcsname{\color{black}}%
-      \expandafter\def\csname LT3\endcsname{\color{black}}%
-      \expandafter\def\csname LT4\endcsname{\color{black}}%
-      \expandafter\def\csname LT5\endcsname{\color{black}}%
-      \expandafter\def\csname LT6\endcsname{\color{black}}%
-      \expandafter\def\csname LT7\endcsname{\color{black}}%
-      \expandafter\def\csname LT8\endcsname{\color{black}}%
-    \fi
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-    \setlength{\unitlength}{0.0500bp}%
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-      \newlength{\gptboxheight}%
-      \newlength{\gptboxwidth}%
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-    \setlength{\fboxsep}{1pt}%
-    \definecolor{tbcol}{rgb}{1,1,1}%
-\begin{picture}(6802.00,4534.00)%
-    \gplgaddtomacro\gplbacktext{%
-      \csname LTb\endcsname%%
-      \put(1078,2487){\makebox(0,0)[r]{\strut{}1e+02}}%
-      \put(1078,3096){\makebox(0,0)[r]{\strut{}1e+03}}%
-      \put(1078,3704){\makebox(0,0)[r]{\strut{}1e+04}}%
-      \put(1078,4313){\makebox(0,0)[r]{\strut{}1e+05}}%
-      \put(1210,2267){\makebox(0,0){\strut{}}}%
-      \put(2418,2267){\makebox(0,0){\strut{}}}%
-      \put(3626,2267){\makebox(0,0){\strut{}}}%
-      \put(4834,2267){\makebox(0,0){\strut{}}}%
-      \put(6041,2267){\makebox(0,0){\strut{}}}%
-    }%
-    \gplgaddtomacro\gplfronttext{%
-      \csname LTb\endcsname%%
-      \put(2266,4030){\makebox(0,0)[r]{\strut{}100mH}}%
-      \put(209,3400){\rotatebox{-270.00}{\makebox(0,0){\strut{}Impedance ($\Omega$)}}}%
-    }%
-    \gplgaddtomacro\gplbacktext{%
-      \csname LTb\endcsname%%
-      \put(1078,838){\makebox(0,0)[r]{\strut{}  -80}}%
-      \put(1078,1107){\makebox(0,0)[r]{\strut{}  -40}}%
-      \put(1078,1376){\makebox(0,0)[r]{\strut{}  0}}%
-      \put(1078,1644){\makebox(0,0)[r]{\strut{}  40}}%
-      \put(1078,1913){\makebox(0,0)[r]{\strut{}  80}}%
-      \put(2418,484){\makebox(0,0){\strut{}1k}}%
-      \put(3626,484){\makebox(0,0){\strut{}10k}}%
-      \put(4834,484){\makebox(0,0){\strut{}100k}}%
-      \put(6041,484){\makebox(0,0){\strut{}1M}}%
-      \put(1210,484){\makebox(0,0){\strut{}}}%
-    }%
-    \gplgaddtomacro\gplfronttext{%
-      \csname LTb\endcsname%%
-      \put(2266,1764){\makebox(0,0)[r]{\strut{}100mH}}%
-      \put(209,1375){\rotatebox{-270.00}{\makebox(0,0){\strut{}Phase ($\ \textdegree$)}}}%
-      \put(3807,154){\makebox(0,0){\strut{}Frequency (Hz)}}%
-    }%
-    \gplbacktext
-    \put(0,0){\includegraphics[width={340.10bp},height={226.70bp}]{./assets/a-3/exp2-2-bode}}%
-    \gplfronttext
-  \end{picture}%
-\endgroup

assets/a-3/exp2-2.gnuplot

@@ -1,31 +0,0 @@
-set output "exp2-2-bode.tex"
-
-load '../common.gnuplot'
-
-unset key
-set key top left box height 1 width 2
-
-set log x
-set log y
-set xrange [1e2:2e6]
-
-set multiplot layout 2,1 rowsfirst
-
-set xlabel 
-set ylabel "Impedance ($\\Omega$)"
-set format x ""
-set format y "%.1g"
-
-plot "exp2-2-Z.txt" u 1:2 title "100mH" with points pt 5
-
-unset log y
-set xtics add ("1k" 1e3, "10k" 1e4, "100k" 1e5, "1M" 1e6)
-set yrange [-100:100]
-set ytics 40
-set xlabel "Frequency (Hz)"
-set ylabel "Phase ($\\ \\textdegree$)"
-set format y "  %.0f"
-
-plot "exp2-2.txt" u 1:4 title "100mH" with points pt 5
-
-unset multiplot

assets/a-3/exp2-2.txt

@@ -1,7 +0,0 @@
-1000, 3.50, 0.292, -75
-5000, 3.59, 0.063, -87
-10000, 3.57, 0.033, -88
-50000, 3.51, 0.013, -88
-100000, 3.50, 0.00196, -90
-500000, 3.47, 0.00525, 90
-1000000, 3.46, 0.0113, 85

assets/a-3/generate-plot.sh

@@ -1,4 +0,0 @@
-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

assets/a-3/patch-exp2-1.sed

@@ -1 +0,0 @@
-s/exp2-1-bode/.\/assets\/a-3\/exp2-1-bode/g;

assets/a-3/patch-exp2-2.sed

@@ -1 +0,0 @@
-s/exp2-2-bode/.\/assets\/a-3\/exp2-2-bode/g;

assets/t-1/exp1.eps

@@ -1,7 +1,7 @@
 %!PS-Adobe-2.0 EPSF-2.0
 %%Title: exp1.tex
 %%Creator: gnuplot 6.0 patchlevel 4
-%%CreationDate: Tue May 26 00:17:35 2026
+%%CreationDate: Sat Jun 13 21:52:51 2026
 %%DocumentFonts: 
 %%BoundingBox: 50 50 390 276
 %%EndComments
@@ -441,7 +441,7 @@ SDict begin [
   /Creator (gnuplot 6.0 patchlevel 4)
 %  /Producer (gnuplot)
 %  /Keywords ()
-  /CreationDate (Tue May 26 00:17:35 2026)
+  /CreationDate (Sat Jun 13 21:52:51 2026)
   /DOCINFO pdfmark
 end
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+1.000 UP
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+1401 1913 M
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assets/t-1/exp1.gnuplot

@@ -1,7 +1,8 @@
 load '../common.gnuplot'
 
 set output "exp1.tex"
-set xtics 0, 3, 8
+set xtics 0, 2, 8
+set ytics 0, 1, 3
 set xrange [0:8]
 set yrange [0:3]
 
@@ -10,4 +11,7 @@ set key top left Left reverse
 set xlabel "Supply Voltage (V)"
 set ylabel "LED Voltage (V)" 
 
-plot 'forward.dat' using 3:2 linetype 1 linewidth 2 title "" with lines
+set pointsize 1
+set style line 4 linetype 1 pointtype 6 linewidth 2
+
+plot 'forward.dat' using 3:2 title "" with linespoints ls 4

assets/t-1/exp1.tex

@@ -85,21 +85,20 @@
 \begin{picture}(6802.00,4534.00)%
     \gplgaddtomacro\gplbacktext{%
       \csname LTb\endcsname%%
-      \put(814,704){\makebox(0,0)[r]{\strut{}$0$}}%
+      \put(550,704){\makebox(0,0)[r]{\strut{}$0$}}%
-      \put(814,1306){\makebox(0,0)[r]{\strut{}$0.5$}}%
+      \put(550,1907){\makebox(0,0)[r]{\strut{}$1$}}%
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+      \put(550,3110){\makebox(0,0)[r]{\strut{}$2$}}%
-      \put(814,2509){\makebox(0,0)[r]{\strut{}$1.5$}}%
+      \put(550,4313){\makebox(0,0)[r]{\strut{}$3$}}%
-      \put(814,3110){\makebox(0,0)[r]{\strut{}$2$}}%
+      \put(682,484){\makebox(0,0){\strut{}$0$}}%
-      \put(814,3712){\makebox(0,0)[r]{\strut{}$2.5$}}%
+      \put(2113,484){\makebox(0,0){\strut{}$2$}}%
-      \put(814,4313){\makebox(0,0)[r]{\strut{}$3$}}%
+      \put(3544,484){\makebox(0,0){\strut{}$4$}}%
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+      \put(4974,484){\makebox(0,0){\strut{}$6$}}%
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+      \put(6405,484){\makebox(0,0){\strut{}$8$}}%
-      \put(5040,484){\makebox(0,0){\strut{}$6$}}%
     }%
     \gplgaddtomacro\gplfronttext{%
       \csname LTb\endcsname%%
       \put(209,2508){\rotatebox{-270.00}{\makebox(0,0){\strut{}LED Voltage (V)}}}%
-      \put(3675,154){\makebox(0,0){\strut{}Supply Voltage (V)}}%
+      \put(3543,154){\makebox(0,0){\strut{}Supply Voltage (V)}}%
     }%
     \gplbacktext
     \put(0,0){\includegraphics[width={340.10bp},height={226.70bp}]{./assets/t-1/exp1}}%

assets/t-1/exp2.eps

@@ -1,7 +1,7 @@
 %!PS-Adobe-2.0 EPSF-2.0
 %%Title: exp2.tex
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+%%CreationDate: Sat Jun 13 21:54:46 2026
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@@ -441,7 +441,7 @@ SDict begin [
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-  /CreationDate (Tue May 26 14:24:41 2026)
+  /CreationDate (Sat Jun 13 21:54:46 2026)
   /DOCINFO pdfmark
 end
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assets/t-1/exp2.gnuplot

@@ -2,6 +2,7 @@ load '../common.gnuplot'
 
 set output "exp2.tex"
 set xtics -3,1,0
+set ytics -3,1,0
 set xrange [-4:0]
 set yrange [-4:0]
 
@@ -9,5 +10,6 @@ set key top left Left reverse
 
 set xlabel "Supply Voltage (V)"
 set ylabel "LED Voltage (V)"
+set style line 1 pointtype 6 linewidth 2
 
-plot 'reverse.dat' using 1:($3 - $2) linetype 1 linewidth 2 title "" with lines
+plot 'reverse.dat' using 1:($3 - $2) title "" with linespoints ls 1

assets/t-1/exp2.tex

@@ -85,24 +85,19 @@
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     \gplgaddtomacro\gplbacktext{%
       \csname LTb\endcsname%%
-      \put(946,704){\makebox(0,0)[r]{\strut{}$-4$}}%
+      \put(682,1606){\makebox(0,0)[r]{\strut{}$-3$}}%
-      \put(946,1155){\makebox(0,0)[r]{\strut{}$-3.5$}}%
+      \put(682,2509){\makebox(0,0)[r]{\strut{}$-2$}}%
-      \put(946,1606){\makebox(0,0)[r]{\strut{}$-3$}}%
+      \put(682,3411){\makebox(0,0)[r]{\strut{}$-1$}}%
-      \put(946,2057){\makebox(0,0)[r]{\strut{}$-2.5$}}%
+      \put(682,4313){\makebox(0,0)[r]{\strut{}$0$}}%
-      \put(946,2509){\makebox(0,0)[r]{\strut{}$-2$}}%
+      \put(2212,484){\makebox(0,0){\strut{}$-3$}}%
-      \put(946,2960){\makebox(0,0)[r]{\strut{}$-1.5$}}%
+      \put(3610,484){\makebox(0,0){\strut{}$-2$}}%
-      \put(946,3411){\makebox(0,0)[r]{\strut{}$-1$}}%
+      \put(5007,484){\makebox(0,0){\strut{}$-1$}}%
-      \put(946,3862){\makebox(0,0)[r]{\strut{}$-0.5$}}%
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       \put(6405,484){\makebox(0,0){\strut{}$0$}}%
     }%
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-      \put(3741,154){\makebox(0,0){\strut{}Supply Voltage (V)}}%
+      \put(3609,154){\makebox(0,0){\strut{}Supply Voltage (V)}}%
     }%
     \gplbacktext
     \put(0,0){\includegraphics[width={340.10bp},height={226.70bp}]{./assets/t-1/exp2}}%

assets/t-2/7seg_a-f.txt

@@ -1,8 +0,0 @@
-(A, B, C, D): (a, b, c, d, e, f, g)
-(0, 1, 0, 1): (1, 1, 1, 0, 1, 1, 1) // 0x0A
-(1, 1, 0, 1): (0, 0, 1, 1, 1, 1, 1) // 0x0b
-(0, 0, 1, 1): (1, 0, 0, 1, 1, 1, 0) // 0x0C
-(1, 0, 1, 1): (0, 1, 1, 1, 1, 0, 1) // 0x0d
-(0, 1, 1, 1): (1, 0, 0, 1, 1, 1, 1) // 0x0E
-(1, 1, 1, 1): (1, 0, 0, 0, 1, 1, 1) // 0x0F
-

bibs/a-3.bib

@@ -1,22 +0,0 @@
-@book{brit-time_constant,
-    title={ブリタニカ国際大百科事典 小項目電子辞書版},
-    author={Ltd., Britannica Japan Co. and Inc., Encyclop\ae{}dia Britannica},
-    publisher={Britannica Japan Co., Ltd.},
-    year={2016}
-}
-@inbook{ac-theory:impedance,
-    title={基礎からの交流理論},
-    author={小郷 寛 and 小亀 英己 and 石亀 篤司},
-    publisher={電気学会 and オーム社},
-    year={2023},
-    month={04},
-    chapter={3}
-}
-@inbook{ac-theory:rlc-parallel,
-    title={基礎からの交流理論},
-    author={小郷 寛 and 小亀 英己 and 石亀 篤司},
-    publisher={電気学会 and オーム社},
-    year={2023},
-    month={04},
-    pages={77-80}
-}

bibs/t-2.bib

@@ -1,71 +0,0 @@
-@inbook{digital-circuit:digital,
-    title={ゼロから学ぶディジタル論理回路},
-    author={秋田 純一},
-    publisher={株式会社講談社},
-    year={2005},
-    month={06},
-    pages={7-11}
-}
-@inbook{digital-circuit:basic-logic,
-    title={ゼロから学ぶディジタル論理回路},
-    author={秋田 純一},
-    publisher={株式会社講談社},
-    year={2005},
-    month={06},
-    pages={17-23}
-}
-@inbook{digital-circuit:gate-ic,
-    title={ゼロから学ぶディジタル論理回路},
-    author={秋田 純一},
-    publisher={株式会社講談社},
-    year={2005},
-    month={06},
-    pages={31-34}
-}
-@inbook{digital-circuit:xor,
-    title={ゼロから学ぶディジタル論理回路},
-    author={秋田 純一},
-    publisher={株式会社講談社},
-    year={2005},
-    month={06},
-    pages={47-49}
-}
-@inbook{digital-circuit:truth-table,
-    title={ゼロから学ぶディジタル論理回路},
-    author={秋田 純一},
-    publisher={株式会社講談社},
-    year={2005},
-    month={06},
-    pages={49-54}
-}
-@inbook{digital-circuit:karnaugh-map,
-    title={ゼロから学ぶディジタル論理回路},
-    author={秋田 純一},
-    publisher={株式会社講談社},
-    year={2005},
-    month={06},
-    pages={55-61}
-}
-@inbook{digital-circuit:state-transition,
-    title={ゼロから学ぶディジタル論理回路},
-    author={秋田 純一},
-    publisher={株式会社講談社},
-    year={2005},
-    month={06},
-    pages={101-106}
-}
-@inbook{digital-circuit:sequential-logic,
-    title={ゼロから学ぶディジタル論理回路},
-    author={秋田 純一},
-    publisher={株式会社講談社},
-    year={2005},
-    month={06},
-    pages={77-78}
-}
-@online{tc74hc74,
-    title={TC74HC74AP/AF},
-    author={TOSHIBA Semiconductor},
-    year={2014},
-    month={03},
-    url={https://akizukidenshi.com/goodsaffix/TC74HC74AP_datasheet_ja_20140301.pdf}
-}

bibs/t-3.bib

@@ -1,52 +0,0 @@
-@inbook{fsd-2-fet,
-    title={半導体デバイスの基礎 中},
-    author={Betty L. Anderson and Richard L. Anderson},
-    translator={樺沢 宇紀},
-    publisher={シュプリンガー・ジャパン株式会社},
-    year={2008},
-    month={05},
-    part={3},
-    chapter={7}
-}
-@inbook{fsd-3-bjt,
-    title={半導体デバイスの基礎 下},
-    author={Betty L. Anderson and Richard L. Anderson},
-    translator={樺沢 宇紀},
-    publisher={シュプリンガー・ジャパン株式会社},
-    year={2008},
-    month={05},
-    part={4},
-    chapter={9}
-}
-@inbook{eco,
-    title={新訂電子回路概論},
-    author={高木 茂考 and 堀桂 太郎},
-    publisher={株式会社太洋社},
-    year={2025},
-    month={04},
-    pages={34-47}
-}
-@inbook{eco-amp,
-    title={新訂電子回路概論},
-    author={高木 茂考 and 堀桂 太郎},
-    publisher={株式会社太洋社},
-    year={2025},
-    month={04},
-    pages={65-115}
-}
-@online{bjt-ds,
-    title={2SC1815},
-    author={LTD, UNISONIC TECHNOLOGIES CO.},
-    url={https://akizukidenshi.com/goodsaffix/2SC1815_unisonic.pdf},
-    year={2021},
-    month={05},
-    urldate={2026-10-03}
-}
-@online{nfet-ds,
-    title={MTA100N10KRI3},
-    author={CYStech Electronics Corp.},
-    url={https://akizukidenshi.com/goodsaffix/MTA100N10KRI3.pdf},
-    year={2020},
-    month={04},
-    urldate={2026-10-03}
-}

report_a-3.tex

@@ -1,91 +0,0 @@
-\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}{08月}{10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 昊大}
-\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
-
-    \newpage
-
-    \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 {回路素子の特性は周波数ごとに様々な様子を見せる}
-        \item {インダクタやコンデンサの定数は有効な周波数での特性図から読み取れる}
-        \item {フィルタの設計にはQ値や半値幅などの設定が重要となる}
-    \end{itemize}
-
-    \printbibliography[title={参考文献}]{}
-
-\end{document}

report_t-2.tex

@@ -1,64 +0,0 @@
-\documentclass[japanese,xelatex,a4paper,10.5pt,ja=standard]{bxjsarticle}
-
-\usepackage{tex/preamble}
-\usepackage{tex/experiment-title}
-\usepackage{amsmath}
-\usepackage{amssymb}
-\usepackage{array}
-\usepackage{multirow}
-\usepackage{subcaption}
-\usepackage{pgfmath}
-\usepackage{pgffor}
-\usepackage{tex/depD-bib}
-\usepackage{tex/depD-format}
-
-\usetikzlibrary{automata}
-
-\reportauthor{柴田健琉}
-\reporttitle{ディジタル回路}
-\reportdate{2026年}{06月}{20日}
-\turnindate{2026年}{06月}{30日}
-\schoolyear{2026}
-\grade{3}
-\department{電子制御工学科}
-\subject{電子制御工学実験1}
-\reportid{T-2}
-\expgroup{-}
-\seatingnum{15}
-\addExperimentDate{2026年 06月 02日}
-\addExperimentDate{2026年 06月 16日}
-\addExperimentDate{2026年 06月 23日}
-
-\addbibresource{./bibs/t-2.bib}
-
-\begin{document}
-    \experimentTitle
-
-    \section{実験目的}
-
-    今回の実験ではディジタル回路の基礎と応用について学ぶために行った.
-
-    \input{./sections/t-2/theory}
-    \resetrefcounter
-
-    \input{./sections/t-2/exp-detail}
-    \resetrefcounter
-
-    \input{./sections/t-2/exp-result}
-    \resetrefcounter
-
-    \input{./sections/t-2/reflection}
-    \resetrefcounter
-
-    \section{まとめ}
-
-    今回の実験で以下の事実を確認した:
-    
-    \begin{itemize}
-        \item{各種論理ゲートは組み合わせることで多種多様な動作をする回路を構築可能である}
-        \item{ブール代数の諸法則・諸定理で論理回路の規模・複雑性を調整することができる}
-        \item{順序回路の動作の記述には状態遷移図・表が有効である}
-    \end{itemize}
-
-    \printbibliography[title={参考文献}]{}
-\end{document}

report_t-3.tex

@@ -1,66 +0,0 @@
-\documentclass[japanese,xelatex,a4paper,10.5pt,ja=standard]{bxjsarticle}
-
-\usepackage{tex/preamble}
-\usepackage{tex/experiment-title}
-\usepackage{amsmath}
-\usepackage{amssymb}
-\usepackage{array}
-\usepackage{multirow}
-\usepackage{subcaption}
-\usepackage{pgfmath}
-\usepackage{pgffor}
-\usepackage{tex/depD-bib}
-\usepackage{tex/depD-format}
-
-\reportauthor{柴田健琉}
-\reporttitle{トランジスタの特性}
-\reportdate{2026年}{09月}{29日}
-\turnindate{2026年}{10月}{06日}
-\schoolyear{2026}
-\grade{3}
-\department{電子制御工学科}
-\subject{電子制御工学実験1}
-\reportid{T-3}
-\expgroup{4班}
-\seatingnum{15}
-\addResearcher{後藤 昊大}
-\addResearcher{佐藤 暖斗}
-\addResearcher{高橋 健太}
-\addExperimentDate{2026年 07月 23日}
-\addExperimentDate{2026年 09月 29日}
-
-\addbibresource{./bibs/t-3.bib}
-
-\begin{document}
-    \experimentTitle
-
-    \section{実験目的}
-
-    今回の実験では代表的な3端子半導体素子の特性とその測定方法を確認するために行った.
-
-    \input{sections/t-3/theory}
-    \resetrefcounter
-
-    \input{sections/t-3/exp-detail}
-    \resetrefcounter
-    
-    \newpage
-
-    \input{sections/t-3/exp-result}
-    \resetrefcounter
-
-    \input{sections/t-3/reflection}
-    \resetrefcounter
-
-    \section{まとめ}
-
-    今回の実験で以下の事象・事実を確認した:
-
-    \begin{itemize}
-        \item{BJTやMOSFETの出力特性は非線形である}
-        \item{BJTやMOSFETはそれぞれ電流と電圧で信号を増幅出来るような仕組みになっている}
-    \end{itemize}
-
-    \printbibliography[title={参考文献}]{}
-
-\end{document}

sections/a-2/exp-result.tex

@@ -7,7 +7,7 @@
 \begin{figure}[tbh]
     \centering
     \input{assets/a-2/exp1}
-    \caption{Voltage v.s. Current of Differenct Resistors with Theoretical Values and Error Ranges}
+    \caption{Voltage v.s. Current of Differenct Resistors with Theoretical Values and $\pm 5\%$ Error Ranges}
     \label{fig:v-i-r}
 \end{figure}
 
@@ -25,9 +25,9 @@ $E_1 = 15.000 \ \text{V}, \ E_2 = 3.005 \ \text{V}$の時，各抵抗での電
 
 \begin{table}[ht]
     \centering
-    \caption{Result of Experiment \# 2 with Circuit (a)}
+    \caption{Voltage and Current on each Resistors in Circuit (a)}
     \label{tab:exp2-res1}
-    \begin{tabular}{c|c|c}
+    \begin{tabular}{crr}
         \hline
         Resistor & Voltage $[\text{V}]$ & Current $[\text{mA}]$ \\
         \hline
@@ -48,9 +48,9 @@ $E_1 = 15.000 \ \text{V}, \ E_2 = -3.007 \ \text{V}$の時，各抵抗での電
 
 \begin{table}[ht]
     \centering
-    \caption{Result of Experiment \# 2 with Circuit (b)}
+    \caption{Voltage and Current on each Resistors in Circuit (b)}
     \label{tab:exp2-res2}
-    \begin{tabular}{c|c|c}
+    \begin{tabular}{crr}
         \hline
         Resistor & Voltage $[\text{V}]$ & Current $[\text{mA}]$ \\
         \hline
@@ -76,9 +76,9 @@ $E_1 = 15.000 \ \text{V}$での各抵抗にかかった電流・電圧は\cref{t
 
 \begin{table}[ht]
     \centering
-    \caption{Result of Experiment \# 3 with $E_1$ as Voltage Source}
+    \caption{Voltage and Current of each Resistors in Circuit (a) with $E_1$ as Voltage Source}
     \label{tab:exp3-res1}
-    \begin{tabular}{c|c|c}
+    \begin{tabular}{crr}
         \hline
         Resistor & Voltage $[\text{V}]$ & Current $[\text{mA}]$ \\
         \hline
@@ -95,9 +95,9 @@ $E_2 = 3.004 \ \text{V}$での各抵抗にかかった電流・電圧は\cref{ta
 
 \begin{table}[ht]
     \centering
-    \caption{Result of Experiment \# 3 with $E_2$ as Voltage Source}
+    \caption{Voltage and Current of each Resistors in Circuit (a) with $E_2$ as Voltage Source}
     \label{tab:exp3-res2}
-    \begin{tabular}{c|c|c}
+    \begin{tabular}{crr}
         \hline
         Resistor & Voltage $[\text{V}]$ & Current $[\text{mA}]$ \\
         \hline
@@ -118,7 +118,7 @@ $E_2 = 3.004 \ \text{V}$での各抵抗にかかった電流・電圧は\cref{ta
     \centering
     \caption{Voltage and Current of Load}
     \label{tab:exp4-res}
-    \begin{tabular}{c|c|c}
+    \begin{tabular}{crr}
         \hline
         Circuit & Voltage $[\text{V}]$ & Current $[\text{mA}]$ \\
         \hline

sections/a-2/reflection.tex

@@ -15,7 +15,7 @@
 
 \begin{table}[!ht]
     \centering
-    \caption{Current and Power of Resistors with tenth of resistance}
+    \caption{Current and Power of Resistors with Tenth of Resistance}
     \label{tab:v-i-r-tenth}
     \begin{tabular}{c|r|r|r|r|r|r}
         \hline
@@ -42,9 +42,9 @@
 
 \begin{table}[!ht]
     \centering
-    \caption{Applying Kirchhoff's Current Law at Point (b) in each Circuit}
+    \caption{Applying Kirchhoff's Current Law at Point (b) to each Circuits}
     \label{tab:current-in-b}
-    \begin{tabular}{c|c}
+    \begin{tabular}{cr}
         \hline
         Circuit & Current $[\text{mA}]$ \\
         \hline
@@ -58,13 +58,13 @@
 
 \begin{table}[!ht]
     \centering
-    \caption{Applying Kirchhoff's Voltage Law on each Loop}
+    \caption{Applying Kirchhoff's Voltage Law to each Loops}
     \label{tab:voltage-in-loops}
-    \begin{tabular}{c|c|c}
+    \begin{tabular}{crr}
         \hline
         Loop & Circuit (a) $[\text{V}]$ & Circuit (b) $[\text{V}]$ \\
         \hline
-        abef & 0.01 & 0.01 \\
+        abef & 0.010 & 0.010 \\
         bcde & -0.005 & 0.007 \\
         acdf & 0.005 & -0.017 \\
         \hline
@@ -92,13 +92,13 @@
 
 \begin{table}[!ht]
     \centering
-    \caption{Percentage Difference of Experiment \# 3 from Experiment \# 2 on Circuit (a)}
+    \caption{Percentage Differences of Experiment \# 3 from Experiment \# 2 on Circuit (a)}
     \label{tab:exp3-exp2-diff}
-    \begin{tabular}{c|c}
+    \begin{tabular}{cr}
         \hline
         Measurement & Difference $(\%)$ \\
         \hline
-        $V_{R_1}$ & 0 \\
+        $V_{R_1}$ & 0.00 \\
         $V_{R_2}$ & +1.54 \\
         $V_{R_3}$ & -0.23 \\
         $I_{R_1}$ & +0.30 \\
@@ -121,7 +121,7 @@
     \begin{minipage}[h]{0.9\linewidth}
         \centering
         \begin{circuitikz}
-            \draw (0,0) to [battery1={$E$},invert] ++(0,2) to [R={$R_i$}] ++(0,2);
+            \draw (0,0) to [battery1, l={$E$},invert] ++(0,2) to [R={$R_i$}] ++(0,2);
             \draw (0,0) to [short, -o] ++(2,0);
             \draw (0,4) to [short, -o] ++(2,0);
 
@@ -137,7 +137,7 @@
     \begin{minipage}[h]{0.9\linewidth}
         \centering
         \begin{circuitikz}
-            \draw (0,0) to [isourceAM={$I$}] ++(0,2);
+            \draw (0,0) to [isourceAM, l={$I$}] ++(0,2);
             \draw (2,0) to [R={$R_i$}] ++(0,2);
             \draw (0,0) to [short, -*] ++(2,0) to [short, -o] ++(2,0);
             \draw (0,2) to [short, -*] ++(2,0) to [short, -o] ++(2,0);
@@ -161,9 +161,9 @@
 
 \begin{table}[!ht]
     \centering
-    \caption{Percentage Difference of Original and Equivalent Circuit of Experiment \# 4}
+    \caption{Percentage Differences of Original and Equivalent Circuit of Experiment \# 4}
     \label{tab:exp4-diff}
-    \begin{tabular}{c|c}
+    \begin{tabular}{cr}
         \hline
         Measurement & Difference $[\%]$ \\
         \hline

sections/a-3/exp-detail.tex

@@ -1,86 +0,0 @@
-\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, 実験2-1同様の手順でインダクタのインピーダンス特性を測定する.
-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 [american inductor, 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回路の応答特性を測定する.
-なお, 回路中に使用した素子は$R_i$には$10 \ \text{k}\Omega$を, $R$には$100 \ \text{k}\Omega$を, $C$には1 nFを, そして$L$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 [american inductor, 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]{};
-        \draw (0,0) ++(0,4) ++(1,0) to [short, *-o] ++(0,0.5) node[above]{$1+$};
-        \draw (0,0) ++(0,4) ++(3,0) to [short, *-o] ++(0,0.5) node[above]{$2+$};
-        \draw (b) ++(0,0.25) to[short, *-o] ++(0.5,0) node[right]{$1-,\ 2-$};
-    \end{circuitikz}
-    \caption{Circuit Diagram for Experiment 2-3}
-    \label{fig:exp23-cd}
-\end{figure}

sections/a-3/exp-result.tex

@@ -1,92 +0,0 @@
-\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]{0.45\textwidth}
-        \centering
-        \includegraphics[width=6cm]{./assets/a-3/RC-10kOhm-1nF-1t.png}
-        \subcaption{$T_{\text{in}} = 2 \times \tau$}
-        \label{fig:exp11-res-a}
-    \end{minipage}
-    \begin{minipage}[h]{0.45\textwidth}
-        \centering
-        \includegraphics[width=6cm]{./assets/a-3/RC-10kOhm-1nF-5t.png}
-        \subcaption{$T_{\text{in}} = 2 \times 5\tau$}
-        \label{fig:exp11-res-b}
-    \end{minipage}
-    \begin{minipage}[h]{0.90\textwidth}
-        \centering
-        \includegraphics[width=6cm]{./assets/a-3/RC-10kOhm-1nF-15t.png}
-        \subcaption{$T_{\text{in}} = 2 \times 15\tau$}
-        \label{fig:exp11-res-c}
-    \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]{0.45\textwidth}
-        \centering
-        \includegraphics[width=6cm]{./assets/a-3/RL-10kOhm-100mH-0.5t.png}
-        \subcaption{$T_{\text{in}} = 2 \times 0.5\tau$}
-        \label{fig:exp12-res-a}
-    \end{minipage}
-    \begin{minipage}[h]{0.45\textwidth}
-        \centering
-        \includegraphics[width=6cm]{./assets/a-3/RL-10kOhm-100mH.png}
-        \subcaption{$T_{\text{in}} = 2 \times 5\tau$}
-        \label{fig:exp12-res-b}
-    \end{minipage}
-    \begin{minipage}[h]{0.90\textwidth}
-        \centering
-        \includegraphics[width=6cm]{./assets/a-3/RL-10kOhm-100mH-25t.png}
-        \subcaption{$T_{\text{in}} = 2 \times 25\tau$}
-        \label{fig:exp12-res-c}
-    \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}
-
-測定範囲を通じて, インピーダンス・位相ともに一定の傾向を確認した.
-
-\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}
-
-100 kHzから500 kHzの範囲を境にインピーダンスは減少, 位相は$180 \textdegree$変化した.
-
-\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}
-
-ゲインは緩やかな曲線を描き, 15 kHz付近で最大となった.
-
-\begin{figure}[H]
-    \centering
-    \includegraphics[width=10cm]{./assets/a-3/100kOhm-1nF-100mH.png}
-    \caption{Bode Plot of RLC Parallel Circuit Response}
-    \label{fig:exp23-res}
-\end{figure}

sections/a-3/reflection.tex

@@ -1,154 +0,0 @@
-\section{考察}
-
-\subsection{実験1-1}
-
-時定数とはある変動を加えた系の状態が平衡に達するまでの時間の尺度である.
-この時間が短ければ信号は直ぐに平衡状態になり, 長ければ信号の変化はゆるやかとなり, 平衡状態に達するまでの時間が長くなる\supercite{brit-time_constant}.
-
-\Cref{equ:rc-v}の指数関数項の指数が-1になる時間が時定数$\tau$である, よって時定数は\cref{equ:tc-c}となる.
-\begin{equation}
-    \label{equ:tc-c}
-    \begin{split}
-        v_C(\tau) &= v_i \left(1 - e^{-\frac{\tau}{RC}}\right) = v_i \left(1 - e^{-1}\right) \\
-        \tau &= RC
-    \end{split}
-\end{equation}
-
-\Cref{equ:tc-c}から時定数は抵抗値とキャパシタンスに比例することが分かる.
-
-今回の実験では, 時定数は$10 \ \text{k}\Omega \times 1 \ \text{nF} = 10 \ \mu\text{s}$となる.
-実際に\cref{fig:exp11-res-b}では$10 \ \mu\text{s}$で$v_i$の$(1 - e^{-1})\text{倍} \approx 60\%$まで充電されている.
-
-\subsection{実験1-2}
-
-\Cref{equ:rl-v}の指数関数項の指数が-1になる時間が時定数$\tau$なので, 時定数は\cref{equ:tc-l}となる.
-\begin{equation}
-    \label{equ:tc-l}
-    \begin{split}
-        v_L(\tau) &= v_i e^{-\frac{R}{L}\tau} = v_i e^{-1} \\
-        \tau &= \frac{L}{R}
-    \end{split}
-\end{equation}
-
-\Cref{equ:tc-l}から時定数はインダクタンスに比例し, 抵抗値に反比例することが分かる.
-
-今回の実験では, 時定数は$\frac{100 \ \text{mH}}{10 \ \text{k}\Omega} = 10 \ \mu\text{s}$となる.
-実際に\cref{fig:exp12-res-b}では$10 \ \mu\text{s}$で$v_i$の$(1 - e^{-1})\text{倍} \approx 60\%$まで充電されている.
-
-\subsection{実験2-1}
-
-\Cref{fig:exp21-cd}の回路内のシャント抵抗$R$を無視するには, $R \ll \frac{1}{2\pi{}fC}$を満たす周波数領域内である必要がある.
-コンデンサのインピーダンスがシャント抵抗の$\frac{1}{100}$倍になる場合を十分小さいとみなし, 1 nFと100 $\mu$Fのコンデンサでは\cref{tab:cap-f-range}で示した範囲となった.
-
-\begin{table}[H]
-    \centering
-    \caption{Frequency Range for a Shunt Resistor being Insignificant in the Circuit}
-    \label{tab:cap-f-range}
-    \begin{tabular}{r|l}
-        \hline
-        Capacitor & Range \\
-        \hline
-        1 nF & $f < 33.9 \ \text{kHz}$ \\
-        100 $\mu$F & $f < 0.338 \ \text{Hz}$ \\
-        \hline
-    \end{tabular}
-\end{table}
-
-\cref{tab:cap-f-range}から分かるように, 100 $\mu$Fでは計測範囲の下限1 kHzより更に低い周波数でシャント抵抗の抵抗成分が主となるため, 実験結果\cref{fig:exp21-res}の100 $\mu$Fのインピーダンスは一定となり, 電流と電圧は同相を示す理由に説明がつく. なので, 結果からこのコンデンサの静電容量の推定は不可能となる.
-
-一方, 1 nFのコンデンサは計測範囲内に納まっているので結果から静電容量の推定が可能である.
-実験結果\cref{fig:exp21-res}から, 目測できる範囲で計算すると\cref{equ:calc-capacitance-1nf}となる.
-\begin{equation}
-    \label{equ:calc-capacitance-1nf}
-    \begin{split}
-        f &= 5 \ \text{kHz} \\
-        Z &= \frac{1}{2\pi{}fC} \approx 3 \times 10^4 \\
-        C &= \frac{1}{2\pi{}fZ} \approx 1.061 \ \text{nF}
-    \end{split}
-\end{equation}
-これは定格容量の$+6.1\%$の誤差となる.
-
-\subsection{実験2-2}
-
-実験結果\cref{fig:exp22-res}より, 目測できる範囲でインダクタンスを計算すると\cref{equ:calc-inductance-100mh}となる.
-\begin{equation}
-    \label{equ:calc-inductance-100mh}
-    \begin{split}
-        f &= 5 \ \text{kHz} \\
-        Z &= 2\pi{}fL \approx 3 \times 10^3 \\
-        L &= \frac{Z}{2\pi{}f} \approx 95.49 \ \text{mH}
-    \end{split}
-\end{equation}
-これは定格インダクタンスの$-4.51\%$の誤差となる.
-
-また実験結果より, 100 kHzから500 kHzの間でインピーダンスが減少する傾向に転じた. また, 位相では180度増加した.
-この現象は現実のインダクターはRLC並列回路の一種であるとすれば説明できる.
-銅線は値が低くとも抵抗値を持ち, 巻かれているので使用する長さも長くなり抵抗値が増える.
-また, 巻線間のピッチが短くなるので銅線どうしでコンデンサのように振舞うことがある.
-この仮想的なコンデンサが持つ静電容量を寄生キャパシタンスという.
-
-マルチメータで測定したインダクターの端子間抵抗値は138 $\Omega$であったので等価回路は\cref{equ:l-equivalent-cd}となる.
-\begin{figure}[tbh]
-    \centering
-    \begin{circuitikz}
-        \draw (0,0) to[R={$138 \ \Omega$}, o-*] ++(2,0) coordinate (p);
-        \draw (p) -- ++(0,1) to[american inductor={$100 \ \text{mH}$}] ++(2,0) -- ++(0,-1);
-        \draw (p) -- ++(0,-1) to[C={$C$}] ++(2,0) -- ++(0,1);
-        \draw (p) ++(2,0) to[short, *-o] ++(1,0);
-    \end{circuitikz}
-    \caption{Equivalent Circuit of Inductor}
-    \label{equ:l-equivalent-cd}
-\end{figure}
-
-この回路のインピーダンスは\cref{equ:r-lc-z}となり, 共振周波数は\cref{equ:resfreq-r-lc}となる.
-\begin{equation}
-    \label{equ:r-lc-z}
-    \dot{Z} = R + \frac{1}{j\omega{}C + \frac{1}{j\omega{}L}} = R - j\frac{\omega{}L}{\omega{}^{2}CL - 1}
-\end{equation}
-\begin{equation}
-    \label{equ:resfreq-r-lc}
-    \begin{split}
-        Z &= |\dot{Z}| = \sqrt{R^2 + \left(\frac{\omega{}L}{\omega{}^{2}CL - 1}\right)^{2}} \\
-        Z_\text{max} &= Z(f_a) = \infty \\
-        0 &= \omega{}^{2}LC - 1 \\
-        \omega{}^{2} &= \frac{1}{LC} \\
-        \omega{} &= \frac{1}{\sqrt{LC}} = 2\pi{}f_a \\
-        f_a &= \frac{1}{2\pi{}\sqrt{LC}}
-    \end{split}
-\end{equation}
-
-$100 \ \text{kHz} < f_a < 500 \ \text{kHz}$を満たす寄生キャパシタンスは$1.061 \ \text{pF} < C < 26.53 \ \text{pF}$となる.
-また, $f_a$を\\中間の300 kHzとすると寄生キャパシタンスは2.947 pFとなる.
-
-この共振周波数を境に回路が誘導性を示すか容量性を示すかが決まってくる. 今回の実験では共振周波数より低い周波数では回路は誘導性を示し, 電流は電圧より90\textdegree 遅れ, 共振周波数より高い周波数では回路は容量性を示し, 電流は電圧より90\textdegree 進む.
-
-\subsection{実験2-3}
-
-今回の実験のパラメータから, 抵抗成分は信号抵抗と主抵抗の合成並列抵抗であることに注意して計算すると, 共振周波数は\cref{equ:res-f-exp23}となり, Q値は\cref{equ:qf-exp23}となった.
-\begin{equation}
-    \label{equ:res-f-exp23}
-    f_r = \frac{1}{2\pi\sqrt{100 \ \text{mH} \times 1 \ \text{nF}}} = 15.915 \ \text{kHz}
-\end{equation}
-\begin{equation}
-    \label{equ:qf-exp23}
-    \begin{split}
-        r &= \frac{1}{R^{-1} + {R_i}^{-1}} \approx 9090.91 \ \Omega \\
-        Q &= r \times \sqrt{\frac{1 \ \text{nF}}{100 \ \text{mH}}} = 0.9091
-    \end{split}
-\end{equation}
-そして, これらの値から半値幅の理論値を計算すると\cref{equ:bw-exp23-theory}となる.
-\begin{equation}
-    \label{equ:bw-exp23-theory}
-    \text{BW}_{\text{theory}} = \frac{f_r}{Q} \approx 17.51 \ \text{kHz}
-\end{equation}
-
-実験結果\Cref{fig:exp23-res}から目測で周波数を読み, 半値幅を概算すると\cref{equ:bw-exp23-measured}となる.
-\begin{equation}
-    \label{equ:bw-exp23-measured}
-    \text{BW} = f_2 - f_1 = 26 \ \text{kHz} - 9 \ \text{kHz} = 17 \ \text{kHz}
-\end{equation}
-
-詳細な周波数を取得していなかったので500 Hz以上の誤差が出てしまったが, 共振周波数・半値幅ともに理論値とおおかた一致した.
-
-これら共振周波数, Q値や半値幅はフィルタ回路の設計で, どの周波数の信号をどれだけの振幅で通過させるかを決定するのに重要な指標である.
-共振周波数は通過・遮断させる主な周波数を, 半値幅はフィルタの有効周波数の範囲を, そしてQ値はフィルタ通過後の振幅を決定する.

sections/a-3/theory.tex

@@ -1,167 +0,0 @@
-\section{理論}
-
-\subsection{コンデンサ}
-
-コンデンサとは電圧を加えると電荷を保持する素子である.
-コンデンサは電圧$v(t)$に比例して電流$i(t)$の時間微分である電荷$q(t)$を保持するので\cref{equ:cap-i}が成り立つ.
-\begin{equation}
-    \label{equ:cap-i}
-    \frac{dq}{dt} = i(t) = C \frac{dv}{dt}
-\end{equation}
-\Cref{equ:cap-i}を電圧$v(t)$で示すと\cref{equ:cap-v}が得られる.
-\begin{equation}
-    \label{equ:cap-v}
-    v(t) = \frac{1}{C} \int^{t}_{0} i(\delta)d\delta
-\end{equation}
-ここで, $C$はコンデンサの容量を表す\supercite{ac-theory:impedance}.
-
-抵抗器とコンデンサの直列回路をRC回路という.
-この回路の時刻$t$における電圧を考える.
-抵抗値$R$を持つ抵抗器と容量$C$を持つコンデンサの直列回路に電流$i(t)$を流した際の回路全体の電圧$v(t)$は\cref{equ:rc-v-1}となる.
-\begin{equation}
-    \label{equ:rc-v-1}
-    v(t) = Ri(t) + \frac{1}{C}\int^{t}_{0}i(\delta)d\delta
-\end{equation}
-
-ここで, \cref{equ:cap-i}を用いて\cref{equ:rc-v-1}を書き換えると一階線形微分方程式\cref{equ:rc-v-2}を得る.
-\begin{equation}
-    \label{equ:rc-v-2}
-    v_i = RC\frac{d v_{C}}{dt} + v_{C}(t)
-\end{equation}
-\Cref{equ:rc-v-2}の入力電圧$v_i$は直流電圧で任意の定数とする.
-
-\Cref{equ:rc-v-2}の微分方程式を変数分離形として一般解を求めると\cref{equ:rc-v-solv}となる.
-\begin{equation}
-    \label{equ:rc-v-solv}
-    \begin{aligned}
-        RC\frac{d v_{C}}{dt} &= v_i - v_{C} \\
-        \frac{d v_{C}}{v_i - v_{C}} &= \frac{1}{RC} dt \\
-        \int \frac{d v_{C}}{v_i - v_{C}} &= \int \frac{1}{RC} dt \\
-        \log{(v_i - v_C)} + C_v &= -\frac{t}{RC} + C_t \\
-        e^{C_v}(v_i - v_C) &= e^{C_t} e^{-\frac{t}{RC}} \\
-        v_C &= v_i - \left(e^{C_t - C_v}\right) e^{-\frac{t}{RC}}
-    \end{aligned}
-\end{equation}
-
-ここで$e^{C_t - C_v}$を$C_0$と置き, $v_{C}(0) = 0$という条件を満たす$C_0$を与えると\cref{equ:rc-v}となる.
-\begin{align}
-    \label{equ:rc-v}
-    v_C(t) = v_i - C_{0}e^{-\frac{t}{RC}} = v_i\left(1 - e^{-\frac{t}{RC}}\right) && \text{where, } \ C_0 = v_i
-\end{align}
-
-
-\subsection{インダクタ}
-
-インダクタは電流を磁束としてエネルギーを保持する素子である.
-磁束が電流$i(t)$に比例する場合のインダクタにかかる電圧は\cref{equ:l-v}で示される.
-\begin{equation}
-    \label{equ:l-v}
-    v(t) = L\frac{di}{dt}
-\end{equation}
-ここで, $L$はインダクタンスを表す\supercite{ac-theory:impedance}.
-
-抵抗器とインダクタの直列回路をRL回路という. この回路の時刻$t$における電圧を考える.
-抵抗値$R$を持つ抵抗器とインダクタンス$L$を持つインダクタの直列回路に電流$i(t)$を流した際の回路全体の電圧$v(t)$は\cref{equ:rl-v-1}となる.
-\begin{equation}
-    \label{equ:rl-v-1}
-    v(t) = Ri(t) + L\frac{di}{dt}
-\end{equation}
-
-\Cref{equ:rl-v-1}の$v(t)$を直流電圧$v_i$の任意の定数関数とすると\cref{equ:rl-v-2}の一階微分方程式が得られる.
-\begin{equation}
-    \label{equ:rl-v-2}
-    v_i = Ri + L\frac{di}{dt}
-\end{equation}
-
-\Cref{equ:rl-v-2}の微分方程式を変数分離形として一般解を求めると\cref{equ:rl-v-solv}となる.
-\begin{equation}
-    \label{equ:rl-v-solv}
-    \begin{aligned}
-        L\frac{di}{dt} &= v_i - Ri = v_L \\
-        \frac{di}{v_i - Ri} &= \frac{dt}{L} \\
-        \int \frac{di}{v_i - Ri} &= \int \frac{dt}{L} \\
-        -\frac{1}{R}\log{(v_i - Ri)} + C_i &= \frac{1}{L}t + C_t \\
-        \log{(v_i - Ri)} + C_i &= -\frac{R}{L}t + C_t \\
-        e^{C_i}(v_i - Ri) &= e^{C_t}e^{-\frac{R}{L}t} \\
-        v_i - Ri &= e^{C_t - C_i}e^{-\frac{R}{L}t} = v_L \\
-        i &= \frac{v_i}{R} - \frac{1}{R}e^{C_t - C_i}e^{-\frac{R}{L}t}
-    \end{aligned}
-\end{equation}
-ここで, $e^{C_t - C_i}$を$C_0$とし, $i(0) = 0$という条件を満たす$C_0$を与えると\cref{equ:rl-v}となる.
-\begin{align}
-    \label{equ:rl-i} i(t) &= \frac{v_i}{R} - \frac{C_0}{R}e^{-\frac{R}{L}t} = \frac{v_i}{R}\left(1 - e^{-\frac{R}{L}t}\right) && \text{where, } \ C_0 = v_i \\
-    \label{equ:rl-v} v_{L}(t) &= C_0 e^{-\frac{R}{L}t} = v_i e^{-\frac{R}{L}t} && \text{where, } \ C_0 = v_i
-\end{align}
-
-\subsection{共振周波数・Q値・半値幅}
-
-RLCの交流回路網でインピーダンスが純抵抗性・純コンダクタンスを示す時の周波数を共振周波数という.
-
-直列回路の場合, インピーダンスは\cref{equ:rlc-s-z}となる.
-\begin{equation}
-    \label{equ:rlc-s-z}
-    Z = \sqrt{R^2 + \left(\omega{}L - \frac{1}{\omega{}C}\right)^2}
-\end{equation}
-このインピーダンスが純抵抗性を示すのは括弧内の値が0になれば良いので共振周波数$f_r$は\cref{equ:rlc-s-fr}となる\supercite{ac-theory:impedance}.
-\begin{equation}
-    \label{equ:rlc-s-fr}
-    f_r = \frac{\omega{}_r}{2\pi} = \frac{1}{2\pi{}\sqrt{LC}}
-\end{equation}
-
-並列回路の場合, アドミタンスは\cref{equ:rlc-p-z}となる.
-\begin{equation}
-    \label{equ:rlc-p-z}
-    Y = \sqrt{\frac{1}{R^2} + \left(\omega{}C - \frac{1}{\omega{}L}\right)^2}
-\end{equation}
-このアドミタンスが純コンダクタンス性を示すのは括弧内の値が0になれば良いので共振周波数$f_a$は\cref{equ:rlc-p-fa}となる\supercite{ac-theory:rlc-parallel}.
-\begin{equation}
-    \label{equ:rlc-p-fa}
-    f_a = \frac{\omega{}_a}{2\pi} = \frac{1}{2\pi\sqrt{LC}}
-\end{equation}
-
-Q値とはQuality Factorのことで, 共振時の共振のよさを示す指標である.
-直列回路ではインダクタのインピーダンスと抵抗器の抵抗値との比がコンデンサのインピーダンスと抵抗器の抵抗値との比が等しい時の値で,
-並列回路ではインダクタのアドミタンスと抵抗器のコンダクタンスとの比がコンデンサのアドミタンスと抵抗器のコンダクタンスとの比が等しい時の値である\supercite{ac-theory:impedance}\supercite{ac-theory:rlc-parallel}.
-\begin{equation}
-    \label{equ:q-factor-s}
-    Q_{\text{Series}} = \frac{\omega{}_r L}{R} = \frac{1}{\omega{}_r CR} = \frac{1}{R} \frac{L}{\sqrt{LC}} = \frac{1}{R} \frac{\sqrt{LC}}{C} = \frac{1}{R}\sqrt{\frac{L}{C}}
-\end{equation}
-\begin{equation}
-    \label{equ:q-factor-p}
-    Q_{\text{Parallel}} = \omega{}_a CR = \frac{R}{\omega{}_a L} = R \frac{C}{\sqrt{LC}} = R \frac{\sqrt{LC}}{L} = R \sqrt{\frac{C}{L}}
-\end{equation}
-
-半値幅とは共振周波数を中心に電力が半分, または電流・電圧のゲインが$\frac{1}{\sqrt{2}}$倍になる2つの周波数の差を表す値で, 共振が鋭ければ鋭いほどこの値は小さくなる.
-直列回路の場合, 半値幅BWは\cref{equ:bw-s}となる\supercite{ac-theory:impedance}.
-\begin{equation}
-    \label{equ:bw-s}
-    \begin{split}
-        Z_r &= R \\
-        \sqrt{2}Z_r &= \sqrt{R^2 + \left(\omega{}L - \frac{1}{\omega{}C}\right)^2} \\
-        2{Z_r}^2 &= 2R^2 = R^2 + \left(\omega{}L - \frac{1}{\omega{}C}\right)^2 \\
-        \pm{}R &= \left(\omega{}L - \frac{1}{\omega{}C}\right) = \frac{\omega{}^{2}LC - 1}{\omega{}C} \\
-        0 &= \omega{}^{2}LC \pm \omega{}RC - 1, (\omega{} > 0) \\
-        \omega{} &= \frac{\pm{}RC + \sqrt{D}}{2LC} \\
-        \omega{}_1 &= \frac{-RC + \sqrt{D}}{2LC} \\
-        \omega{}_2 &= \frac{RC + \sqrt{D}}{2LC} \\
-        \text{BW} &= f_2 - f_1 = \frac{\omega{}_2}{2\pi} - \frac{\omega{}_1}{2\pi} = \frac{R}{2\pi{}L} = \frac{f_r}{Q_{\text{Series}}}
-    \end{split}
-\end{equation}
-
-\newpage
-
-並列回路の場合, 半値幅BWは\cref{equ:bw-p}となる\supercite{ac-theory:rlc-parallel}.
-\begin{equation}
-    \label{equ:bw-p}
-    \begin{split}
-        Y_r &= \frac{1}{R} = G \\
-        \sqrt{2}Y_r &= \sqrt{G^2 + \left(\omega{}C - \frac{1}{\omega{}L}\right)^2} \\
-        2{Y_r}^2 &= 2G^2 = G^2 + \left(\omega{}C - \frac{1}{\omega{}L}\right)^2 \\
-        \pm{}G &= \frac{\omega{}^{2}LC - 1}{\omega{}L} \\
-        0 &= \omega{}^{2}LC \pm \omega{}LG - 1, (\omega{} > 0) \\
-        \omega{} &= \frac{\pm{}LG + \sqrt{D}}{2LC} \\
-        \omega{}_1 &= \frac{-LG + \sqrt{D}}{2LC} \\
-        \omega{}_2 &= \frac{LG + \sqrt{D}}{2LC} \\
-        \text{BW} &= f_2 - f_1 = \frac{\omega{}_2}{2\pi} - \frac{\omega{}_1}{2\pi} = \frac{G}{2\pi{}C} = \frac{1}{2\pi{}RC} = \frac{f_a}{Q_{\text{Parallel}}}
-    \end{split}
-\end{equation}