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| 1 | +\documentclass[nobib]{tufte-handout} |
| 2 | + |
| 3 | +%\\geometry{showframe}% for debugging purposes -- displays the margins |
| 4 | + |
| 5 | +\newcommand{\bra}[1]{\left(#1\right)} |
| 6 | +\usepackage{amssymb} |
| 7 | +\usepackage{hyperref} |
| 8 | +\usepackage[activate={true,nocompatibility},final,tracking=true,kerning=true,spacing=true,factor=1100,stretch=10,shrink=10]{microtype} |
| 9 | +\usepackage{color} |
| 10 | +\usepackage{steinmetz} |
| 11 | +% Fixes captions and images being cut off |
| 12 | +\usepackage{marginfix} |
| 13 | +\usepackage{array} |
| 14 | +\usepackage{tikz} |
| 15 | +\usepackage{amsmath,amsthm} |
| 16 | +\usetikzlibrary{shapes} |
| 17 | +\usetikzlibrary{positioning} |
| 18 | +\usepackage{listings} |
| 19 | +\usepackage{caption} |
| 20 | +\usepackage{circuitikz} |
| 21 | +\DeclareCaptionFont{white}{\color{white}} |
| 22 | +\DeclareCaptionFormat{listing}{\colorbox{gray}{\parbox{\textwidth}{#1#2#3}}} |
| 23 | +\captionsetup[lstlisting]{format=listing,labelfont=white,textfont=white} |
| 24 | + |
| 25 | +% Set up the images/graphics package |
| 26 | +\usepackage{graphicx} |
| 27 | +\setkeys{Gin}{width=\linewidth,totalheight=\textheight,keepaspectratio} |
| 28 | +\graphicspath{{.}} |
| 29 | + |
| 30 | +\title{Exam Topics for ECE 20002 - Electrical Engineering Fundamentals II} |
| 31 | +\author[Shubham Saluja Kumar Agarwal]{Shubham Saluja Kumar Agarwal} |
| 32 | +\date{\today} % if the \date{} command is left out, the current date will be used |
| 33 | + |
| 34 | +% The following package makes prettier tables. We're all about the bling! |
| 35 | +\usepackage{booktabs} |
| 36 | + |
| 37 | +% The units package provides nice, non-stacked fractions and better spacing |
| 38 | +% for units. |
| 39 | +\usepackage{units} |
| 40 | + |
| 41 | +% The fancyvrb package lets us customize the formatting of verbatim |
| 42 | +% environments. We use a slightly smaller font. |
| 43 | +\usepackage{fancyvrb} |
| 44 | +\fvset{fontsize=\normalsize} |
| 45 | + |
| 46 | +% Small sections of multiple columns |
| 47 | +\usepackage{multicol} |
| 48 | + |
| 49 | +% For finite state machines |
| 50 | +\usetikzlibrary{automata} % Import library for drawing automata |
| 51 | +\usetikzlibrary{positioning} % ...positioning nodes |
| 52 | +\usetikzlibrary{arrows} % ...customizing arrows |
| 53 | +\tikzset{node distance=2.5cm, % Minimum distance between two nodes. Change if necessary. |
| 54 | + every state/.style={ % Sets the properties for each state |
| 55 | + semithick, |
| 56 | + fill=gray!10}, |
| 57 | + initial text={}, % No label on start arrow |
| 58 | + double distance=2pt, % Adjust appearance of accept states |
| 59 | + every edge/.style={ % Sets the properties for each transition |
| 60 | + draw, |
| 61 | + ->,>=stealth', % Makes edges directed with bold arrowheads |
| 62 | + auto, |
| 63 | + semithick}} |
| 64 | +\let\epsilon\varepsilon |
| 65 | + |
| 66 | +% These commands are used to pretty-print LaTeX commands |
| 67 | +\newcommand{\doccmd}[1]{\texttt{\textbackslash#1}}% command name -- adds backslash automatically |
| 68 | +\newcommand{\docopt}[1]{\ensuremath{\langle}\textrm{\textit{#1}}\ensuremath{\rangle}}% optional command argument |
| 69 | +\newcommand{\docarg}[1]{\textrm{\textit{#1}}}% (required) command argument |
| 70 | +\newenvironment{docspec}{\begin{quote}\noindent}{\end{quote}}% command specification environment |
| 71 | +\newcommand{\docenv}[1]{\textsf{#1}}% environment name |
| 72 | +\newcommand{\docpkg}[1]{\texttt{#1}}% package name |
| 73 | +\newcommand{\doccls}[1]{\texttt{#1}}% document class name |
| 74 | +\newcommand{\docclsopt}[1]{\texttt{#1}}% document class option name |
| 75 | + |
| 76 | +% Define a custom command for definitions and biconditional |
| 77 | +\newcommand{\defn}[2]{\noindent\textbf{#1}:\ #2} |
| 78 | +\let\biconditional\leftrightarrow |
| 79 | + |
| 80 | +\begin{document} |
| 81 | + |
| 82 | +\maketitle |
| 83 | + |
| 84 | +\begin{abstract} |
| 85 | + These are exam topics for spring 2024 ECE 20002 at Purdue as taught by Professor Byunghoo Jung alongside recordings by Professor Michael Capano. Modify, use, and distribute as you please. |
| 86 | +\end{abstract} |
| 87 | + |
| 88 | +\tableofcontents |
| 89 | +\newpage |
| 90 | +\section{Exam 1} |
| 91 | +\begin{enumerate} |
| 92 | + \item RC or RL circuit with input that can be either linear, SSS, or exponential. $\times$\\ |
| 93 | + Example: |
| 94 | + \begin{center} |
| 95 | + \begin{circuitikz}[american currents] |
| 96 | + \draw (0,0) |
| 97 | + to[I, l=$I$] (0,2) |
| 98 | + to [short, -*] (1,2) |
| 99 | + to [L, l=$L$] (1,0) |
| 100 | + to [short, -] (0,0); |
| 101 | + \draw (1,2) |
| 102 | + to [short, -*] (2,2) |
| 103 | + to [R, l=$R$] (2,0) |
| 104 | + to [short, *-*] (1,0); |
| 105 | + \draw (2,2) |
| 106 | + to [short, -] (2.5,2); |
| 107 | + \draw (2,0) |
| 108 | + to [short, -] (2.5,0); |
| 109 | + \end{circuitikz} |
| 110 | + \end{center} |
| 111 | + With $I=4e^{-3t}$, $L=0.1H$, $R = 20\Omega$. |
| 112 | + \item LC circuit with either linear or SSS input. $\times$\\ |
| 113 | + Example: |
| 114 | + \begin{center} |
| 115 | + \begin{circuitikz}[american currents] |
| 116 | + \draw (0,0) |
| 117 | + to[I, l=$I$] (0,2) |
| 118 | + to [short, -*] (1,2) |
| 119 | + to [L, l=$L$] (1,0) |
| 120 | + to [short, -] (0,0); |
| 121 | + \draw (1,2) |
| 122 | + to [short, -*] (2,2) |
| 123 | + to [C, l=$C$] (2,0) |
| 124 | + to [short, *-*] (1,0); |
| 125 | + \draw (2,2) |
| 126 | + to [short, -] (2.5,2); |
| 127 | + \draw (2,0) |
| 128 | + to [short, -] (2.5,0); |
| 129 | + \end{circuitikz} |
| 130 | + \end{center} |
| 131 | + With $I = \cos(3t)$, $L = 0.1H$, $C=0.02F$. |
| 132 | + \item RLC circuit with linear input, only need to solve a part of the full thing, such as determining conditions for certain kinds of damping, or finding the equation from a midpoint solve. $\times$ |
| 133 | + \item Switched RL or RC circuit with around 3 time intervals or two switches. $\times$ |
| 134 | + \item Convolution with unit step function, like $[f(t)u(t)]*u(t)$. |
| 135 | + \item Convolution with integration by parts once. |
| 136 | + \item Unit step response/Impulse response. $\times$ |
| 137 | + \item Laplace Transform with time shift. $\times$ |
| 138 | + \item Inverse Laplace with real distinct solutions. $\times$ |
| 139 | + \item Inverse Laplace with either repeated, or complex conjugate. $\times$ |
| 140 | +\end{enumerate} |
| 141 | + |
| 142 | +\end{document} |
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