\documentclass[a6paper, fontsize=6pt, twosided]{scrreport} \usepackage[T1]{fontenc} \usepackage{booktabs} \usepackage[svgnames]{xcolor} \usepackage{siunitx} \usepackage[french]{babel} \newenvironment{fulltab}[1]{\begin{center}\begin{tabular*}{\linewidth}{@{\extracolsep{\fill}} #1}} {\end{tabular*}\end{center}} \def\Vt{V_{\mathrm T}} \def\kbT{k_BT} \setlength\tabcolsep{0pt} \setlength\parindent{0pt} \title{Incomplete handbook of all things useful} \author{Sélène Corbineau} \begin{document} \maketitle \tableofcontents \pagebreak \chapter{Mechanics} \section{Metric machine bolts} \paragraph{Threads} \begin{fulltab}{lccccc} \toprule Thread & Pitch & Tapping dia. & \multicolumn{3}{c}{Clearance dia.}\\ \cmidrule{4-6} & & & Close & Medium & Loose\\ \midrule M1.6 & 0.35 & 1.25 & 1.7 & 1.8 & 2.0\\ M2 & 0.4 & 1.6 & 2.2 & 2.4 & 2.6\\ M2.5 & 0.45 & 2.05 & 2.7 & 2.9 & 3.1\\ M3 & 0.5 & 2.5 & 3.2 & 3.4 & 3.6\\ M4 & 0.7 & 3.3 & 4.3 & 4.5 & 4.8\\ M5 & 0.8 & 4.2 & 5.3 & 5.5 & 5.8\\ M6 & 1 & 5 & 6.4 & 6.6 & 7.0\\ M8 & 1.25 & 6.8 & 8.4 & 9.0 & 10.0\\ M10 & 1.5 & 8.5 & 10.5 & 11.0 & 12.0\\ \bottomrule \end{fulltab} \paragraph{Hex heads, nuts} \begin{fulltab}{lccccc} \toprule Thread & s & e (min.) & k (nom.) & m (max.) & m'\\ \midrule M1.6 & 3.2 & 3.28 & 1.1 & 1.3\\ M2 & 4.0 & 4.18 & 1.4 & 1.6 & 0.95\\ M2.5 & 5.0 & 5.31 & 1.7 & 2 & 1.35\\ M3 & 5.5 & 5.88 & 2 & 2.4 & 1.55\\ M4 & 7 & 7.50 & 2.8 & 3.2 & 1.95\\ M5 & 8 & 8.63 & 3.5 & 4 & 2.45\\ M6 & 10 & 10.89 & 4 & 5 & 2.90\\ M8 & 13 & 14.20 & 5.3 & 6.5 & 3.70\\ M10 & 16 & 17.59 & 6.4 & 8 & 4.70\\ \bottomrule \end{fulltab} \chapter{Electronics} \section{Labelling} \paragraph{Color code} \newcommand{\cbox}[1]{\colorbox{#1}{\phantom{Cor}}} \begin{fulltab}{lcccccccccccc} \toprule & \cbox{black} & \cbox{brown} & \cbox{red} & \cbox{orange} & \cbox{yellow} & \cbox{green} & \cbox{blue} & \cbox{violet} & \cbox{gray} & \cbox{white} & \cbox{Gold} & \cbox{Silver}\\ \midrule Digit& 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & -1 & -2\\ Tol. & & 1\% & 2\% & & & 0.5\% & 0.25\% & 0.1\% & & & 5\% & 10\%\\ \bottomrule \end{fulltab} \og Ne Mangez Rien Ou Je Vous Battrai Violemment, Grand Boa. \fg{} Gold and Silver cannot occur in the mantissa. \paragraph{Marking schemes} With color rings, read with outermost ring to the right \begin{itemize} \item 2 digits + exponent + tolerance \item 3 digits + exponent + tolerance \end{itemize} With digits: 2 digits + exponent. The base units are \unit{\ohm}, \unit{\micro\henry} and \unit{\pico\farad}. \paragraph{Preferred numbers} % Recall E6/E12/E24 \section{Common components} \paragraph{Complementary BJT pairs} \begin{fulltab}{lccccc} \toprule Part n° & $V_{\textrm{CEO}}$ (V) & $I_{C,\textrm{max}}$ (mA) & $\beta$@$I_C$ & $f_T$ (MHz) \\ \midrule BC547C,'557 & 45 & 100 & 420..800 @ 10 & 300\\ 2N3904,'06 & 40 & 200 & 100..300 @ 10 & 300\\ BC327,'337 & 45 & 500 & 100..600 @ 100 & 100\\ \bottomrule \end{fulltab} \paragraph{Power BJTs} \begin{fulltab}{lccccc} \toprule Part n° & $V_{\textrm{CEO}}$ (V) & $I_{C,\textrm{max}}$ (A) & $\beta$@$I_C$ & $f_T$ (MHz)\\ \midrule D44H11,'45 & 80 & 10 & 60 @ 1 & 50\\ TIP41,'42 & 80 & 6 & 15..75 @ 3 & 3\\ \bottomrule \end{fulltab} \section{Topologies} \paragraph{Differential gain of diff-pair} $U_d$ is the \emph{one-legged} bias drop. \[H_{D\rightarrow D} = \frac{U_d}{\Vt}\] \section{Noise models} \paragraph{Johnson noise} Typical power density is $4\kbT$, therefore \(e_n = \sqrt{4\kbT R}\) and \(i_n = \sqrt{\kbT / R}\). \chapter{Telecommunications} \section{Amateur radio} \paragraph{HF frequency allocations (region I)} \paragraph{Q-code} \paragraph{Purity limits} \section{Character encodings} \paragraph{7-bit ASCII} \paragraph{HD4480} \end{document}