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ECE20002/2k2exam1topics.pdf

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ECE20002/2k2exam1topics.tex

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\documentclass[nobib]{tufte-handout}
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%\\geometry{showframe}% for debugging purposes -- displays the margins
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\newcommand{\bra}[1]{\left(#1\right)}
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\usepackage{amssymb}
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\usepackage{hyperref}
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\usepackage[activate={true,nocompatibility},final,tracking=true,kerning=true,spacing=true,factor=1100,stretch=10,shrink=10]{microtype}
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\usepackage{color}
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\usepackage{steinmetz}
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% Fixes captions and images being cut off
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\usepackage{marginfix}
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\usepackage{array}
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\usepackage{tikz}
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\usepackage{amsmath,amsthm}
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\usetikzlibrary{shapes}
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\usetikzlibrary{positioning}
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\usepackage{listings}
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\usepackage{caption}
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\usepackage{circuitikz}
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\DeclareCaptionFont{white}{\color{white}}
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\DeclareCaptionFormat{listing}{\colorbox{gray}{\parbox{\textwidth}{#1#2#3}}}
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\captionsetup[lstlisting]{format=listing,labelfont=white,textfont=white}
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% Set up the images/graphics package
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\usepackage{graphicx}
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\setkeys{Gin}{width=\linewidth,totalheight=\textheight,keepaspectratio}
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\graphicspath{{.}}
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\title{Exam Topics for ECE 20002 - Electrical Engineering Fundamentals II}
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\author[Shubham Saluja Kumar Agarwal]{Shubham Saluja Kumar Agarwal}
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\date{\today} % if the \date{} command is left out, the current date will be used
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% The following package makes prettier tables. We're all about the bling!
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\usepackage{booktabs}
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% The units package provides nice, non-stacked fractions and better spacing
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% for units.
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\usepackage{units}
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% The fancyvrb package lets us customize the formatting of verbatim
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% environments. We use a slightly smaller font.
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\usepackage{fancyvrb}
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\fvset{fontsize=\normalsize}
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% Small sections of multiple columns
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\usepackage{multicol}
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% For finite state machines
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\usetikzlibrary{automata} % Import library for drawing automata
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\usetikzlibrary{positioning} % ...positioning nodes
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\usetikzlibrary{arrows} % ...customizing arrows
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\tikzset{node distance=2.5cm, % Minimum distance between two nodes. Change if necessary.
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every state/.style={ % Sets the properties for each state
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semithick,
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fill=gray!10},
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initial text={}, % No label on start arrow
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double distance=2pt, % Adjust appearance of accept states
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every edge/.style={ % Sets the properties for each transition
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draw,
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->,>=stealth', % Makes edges directed with bold arrowheads
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auto,
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semithick}}
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\let\epsilon\varepsilon
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% These commands are used to pretty-print LaTeX commands
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\newcommand{\doccmd}[1]{\texttt{\textbackslash#1}}% command name -- adds backslash automatically
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\newcommand{\docopt}[1]{\ensuremath{\langle}\textrm{\textit{#1}}\ensuremath{\rangle}}% optional command argument
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\newcommand{\docarg}[1]{\textrm{\textit{#1}}}% (required) command argument
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\newenvironment{docspec}{\begin{quote}\noindent}{\end{quote}}% command specification environment
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\newcommand{\docenv}[1]{\textsf{#1}}% environment name
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\newcommand{\docpkg}[1]{\texttt{#1}}% package name
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\newcommand{\doccls}[1]{\texttt{#1}}% document class name
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\newcommand{\docclsopt}[1]{\texttt{#1}}% document class option name
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% Define a custom command for definitions and biconditional
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\newcommand{\defn}[2]{\noindent\textbf{#1}:\ #2}
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\let\biconditional\leftrightarrow
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\begin{document}
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\maketitle
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\begin{abstract}
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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.
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\end{abstract}
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\tableofcontents
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\newpage
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\section{Exam 1}
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\begin{enumerate}
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\item RC or RL circuit with input that can be either linear, SSS, or exponential. $\times$\\
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Example:
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\begin{center}
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\begin{circuitikz}[american currents]
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\draw (0,0)
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to[I, l=$I$] (0,2)
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to [short, -*] (1,2)
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to [L, l=$L$] (1,0)
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to [short, -] (0,0);
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\draw (1,2)
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to [short, -*] (2,2)
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to [R, l=$R$] (2,0)
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to [short, *-*] (1,0);
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\draw (2,2)
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to [short, -] (2.5,2);
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\draw (2,0)
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to [short, -] (2.5,0);
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\end{circuitikz}
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\end{center}
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With $I=4e^{-3t}$, $L=0.1H$, $R = 20\Omega$.
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\item LC circuit with either linear or SSS input. $\times$\\
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Example:
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\begin{center}
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\begin{circuitikz}[american currents]
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\draw (0,0)
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to[I, l=$I$] (0,2)
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to [short, -*] (1,2)
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to [L, l=$L$] (1,0)
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to [short, -] (0,0);
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\draw (1,2)
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to [short, -*] (2,2)
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to [C, l=$C$] (2,0)
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to [short, *-*] (1,0);
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\draw (2,2)
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to [short, -] (2.5,2);
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\draw (2,0)
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to [short, -] (2.5,0);
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\end{circuitikz}
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\end{center}
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With $I = \cos(3t)$, $L = 0.1H$, $C=0.02F$.
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\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. $\times$
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\item Switched RL or RC circuit with around 3 time intervals or two switches. $\times$
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\item Convolution with unit step function, like $[f(t)u(t)]*u(t)$.
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\item Convolution with integration by parts once.
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\item Unit step response/Impulse response. $\times$
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\item Laplace Transform with time shift. $\times$
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\item Inverse Laplace with real distinct solutions. $\times$
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\item Inverse Laplace with either repeated, or complex conjugate. $\times$
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\end{enumerate}
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\end{document}

ECE20002/ECE20002notes.pdf

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