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%\documentclass[addpoints]{exam}
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\documentclass[addpoints, answers]{exam}
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%& -job-name=XYZ
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\usepackage[utf8]{inputenc}
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\usepackage{amsmath}
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\usepackage{cleveref}
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\usepackage[siunitx, american]{circuitikz}
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\usepackage{siunitx}
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\usepackage{lastpage}
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%\input{cedtcommands.tex}
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\footer{}{\thepage/\pageref{LastPage}}{}
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%\boxedpoints
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\bracketedpoints
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\pointsinrightmargin
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%-------------------------------------------------------------
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\begin{document}
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%This code creates the text before the first question
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%-------------------------------------------------------------------
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\pagenumbering{arabic} \setcounter{page}{1}
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\vspace{-10mm}
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\begin{center}
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\includegraphics[width=0.5\textwidth]{Logo-BW_-Wide.png}
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\end{center}
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\begin{center}\textbf{\LARGE{EE101 Spring 2021 Exam 1} }\end{center}
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\begin{center}{Instructor: Dr. Abhijit Kshirsagar \\({username@domain.academic})}\end{center}
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\small
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\begin{center}
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%Date and Time
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March 16, 2020, 8am - 10am
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\end{center}
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\vspace{5mm}
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\makebox[\textwidth]{\large Full Name (all caps):\hspace{2mm}\enspace\hrulefill}
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\vspace{7mm}
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\makebox[\textwidth]{\large Roll Number / ID (all caps):\enspace\hrulefill}
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\vspace{5mm}
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{
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\large
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\textbf{Instructions:}
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\normalsize
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\begin{enumerate}
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\item Modify this text block to add all the instructions.
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\item The front page is designed to have just the instructions - questions begin on the next page.
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\item Put away all bags, books, notebooks, cellphones, laptops, tablets, smartwatches, etc.
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\item Only ONE A4 or letter sized crib sheet for formulae or notes is allowed.
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\item Scientific/programmable calculators are allowed.
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\item Write your answers clearly and legibly in the space provided.
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\item Points will be awarded for correct formulae, intermediate steps and working.
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\item Use the provided paper for rough work if needed.
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\item If any data are missing, make reasonable assumptions and state the same with justification.
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\item This exam booklet has a total of {\numquestions}~questions on \pageref{LastPage} pages.
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\item The exam consists of three sections worth 25 points, 25 points and 50 points respectively.
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\item Points for each question are indicated in square brackets in the right margin.
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\item For multiple choice questions, select the \textbf{best option} or \textbf{all correct answers}, as appropriate,
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and write your response in the space below each question, e.g. \textbf{A} or \textbf{A,B,D}
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\item For fill-in-the-blank questions write the answer in the corresponding blank space.
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\end{enumerate}
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}
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\normalsize
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\clearpage
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%-------------------------------------------------------------------
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%Here, the questions begin
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\begin{questions}
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\fullwidth{\Large \textbf{Section 1: \pointsinrange{grsec1} Points}}
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\begingradingrange{grsec1}
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\input{section1}
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\endgradingrange{grsec1}
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%\clearpage
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\fullwidth{\Large \textbf{Section 2: \pointsinrange{grsec2} Points}}
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\begingradingrange{grsec2}
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\input{section2}
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\endgradingrange{grsec2}
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\clearpage
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\fullwidth{\Large \textbf{Section 3: \pointsinrange{grsec3} Points}}
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\begingradingrange{grsec3}
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\input{section3}
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\endgradingrange{grsec3}
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\end{questions}
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\clearpage
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\begin{center}
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\Large{\textbf{Do not write on this page.}}\\
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\vspace{10mm}
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\hrule
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\vspace{0.25in}
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\underline{Section 1}\\
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\vspace{5mm}
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\setlength{\doublerulesep}{0.25in}
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\multirowpartialgradetable{2}{grsec1}[questions]
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\vspace{0.25in}
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%\hrule
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\vspace{0.25in}
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\underline{Section 2}\\
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\vspace{5mm}
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\multirowpartialgradetable{1}{grsec2}[questions]
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\vspace{0.25in}
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%\hrule
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\vspace{0.25in}
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\underline{Section 3}\\
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\vspace{5mm}
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\multirowpartialgradetable{1}{grsec3}[questions]
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\end{center}
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\cfoot{{\thepage/\pageref{LastPage}} \\ This exam was created with the `exam' class of \LaTeX}
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\end{document}
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%\fullwidth{
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%Instructions:
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%
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%For multiple choice questions select the \textbf{best option} or \textbf{all correct answers}, as appropriate.
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%and write your response in the space below each question, e.g. \textbf{A} or \textbf{A,B,D}
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%\\For fill-in-the blank questions write the answer in the space provided.
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%}
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%
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%\vspace{5mm}
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%}
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%Concept:
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\question[1]This a multiple-choice question with a single answer. Which among the following is the largest integer?
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\begin{choices}
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\choice 1
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\choice 2
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\choice 3
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\CorrectChoice 4
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\end{choices}
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\answerline
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% \vspace{1mm}
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\question[1]This is a True / False Question. Is two greater than one?:
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\begin{choices}
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\CorrectChoice True
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\choice False
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\end{choices}
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\answerline
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%\vspace{5mm}
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\question[1] Multiple-choice questions can have more than one correct option also. Identify all the positive number from the following:
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\begin{choices}
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\CorrectChoice 1
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\choice -1
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\CorrectChoice 2
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\choice -2
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\end{choices}
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\answerline
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\vspace{5mm}
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\question[1] This is a fill-the-blanks question. Complete the following series:
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One, three, \fillin[five][1in], seven, \fillin[nine][1in], eleven.
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%\begin{solutionbox}[2in]
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%Acceptable answers: Transmission, Distribution, Protection or any other reasonable answer.
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%\end{solutionbox}
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\vspace{5mm}
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\question[1]These are some examples of numerical problems. A 1\si{\kilo\watt} load runs continuously for one day. Find the total energy drawn in \si{\kilo\joule}.
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\begin{solutionorbox}[2in]
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Total Energy = Power x time\\
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$=1\si{\kilo\watt}\times24\si{\hour}$\\
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$=1000\si{\watt}\times24\times60\times60\si{\sec}$\\
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$=86400\si{\kilo\joule}$
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\end{solutionorbox}
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\question[10] These are some ``long form" questions. A PV Panel is found to have a maximum power point of 34.1V and 9.83A when tested at STC (1kW/m\textsuperscript{2}), and has a stated efficiency of 19.6\%.
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Estimate the active area of this panel (i.e. the area of semiconductor that light falls on) in \si{\meter\squared}.
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\begin{solutionorbox}[7.75in]
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At Standard test conditions, the incident radiant energy is 1kW/m\textsuperscript{2}.
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Assume that the area of the panel is $A$. The radiant power falling on this panel, i.e. incident power, is therefore:
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\begin{equation*}
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P_\text{incident}= 1\text{kW}/m^2 * A
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\end{equation*}
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The output power is just the incident power times the efficiency:
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\begin{equation*}
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P_\text{output}= 1\text{kW}/m^2 * A * \eta
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\end{equation*}
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Where efficiency $\eta=(19.6/100)$.
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The maximum output power can be determined from the maximum power point details:
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Pout
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\begin{equation*}
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P_\text{out}= V_{oc}*I_{sc}.
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\end{equation*}
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Thus, equating the two values of P\textsubscript{out}, we can calculate $A$:
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\begin{equation*}
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A= (V_{oc}*I_{sc})/(\eta * 1kW/m^2) = 1.71 m^2 = 18\text{\ square feet}.
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\end{equation*}
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\end{solutionorbox}
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\clearpage
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\question[10] This is a question that requres a graph / plot as the response. The graph can be generated in \TeX. A PV Panel has a maximum power point of 34.1V and 9.83A when tested at STC (standard testing conditions) and a fill factor of 83.8\%. The open circuit voltage is found to be 40\si{\volt}. Compute the short circuit current for this panel and then sketch the VI curve, and label the maximum power point.
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\fillwithgrid{8in}
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\clearpage
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\question This is an example of a complex, multi-part question with multiple types of sub-parts. A user wants to connect an inductive load (Z) with a rating of 10kW and a power factor of 0.5 to the utility supply, as shown in the figure below. The supply voltage is $v_g(t) = 170\sin({\omega t + 0^\circ})$ , with a frequency of 60Hz.
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\begin{figure}[h]
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\centering
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\begin{circuitikz}[scale=0.7]
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\draw
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(0,0) to[sinusoidal voltage source, , v_<=$v_g(t)$] (0,4)
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to[short,i=${i_g(t)}$] (5,4)
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%(5,0) to[I, color=blue, *-*, l=$i_c(t)$] (5,4)
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(5,4) -- (7,4)
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to[european resistor, l=$Z$] (7,0) -- (0,0);
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\end{circuitikz}
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%\caption*{Problem 1}
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\label{fig:prob1}
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\end{figure}
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\begin{parts}
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\part[5] Calculate values of P, Q and S (with the appropriate units):
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\begin{solutionorbox}[4in]
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Given that P is 10kW and $cos\theta=0.5$ therefore current lags voltage by $60^\circ$.
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Magnitude of apparent power is therefore P/$\cos60^\circ$=20kVA.
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Therefore $Q=S\sin\theta=17.32\text{kVAR}$.
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Since the load is inductive, Q has a positive value.
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\end{solutionorbox}
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\vspace{5mm}
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P = \fillin[10kW][2in]
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\vspace{2mm}
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Q = \fillin[17.32kVAr][2in]
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\vspace{2mm}
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S = \fillin[20kVA][2in]
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\part[5]Draw the power triangle for this load. You can change the spacing of the grid too:
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\vspace{5mm}
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\setlength{\gridsize}{\dimexpr.025\linewidth-41\gridlinewidth}
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\fillwithgrid{3in}
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\clearpage
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\part[5] Calculate the net impedance now.
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\begin{solutionorbox}[3.5in]
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The net impedance is the parallel combination of the capacitor's impedance and the existing load.
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We found that $Z=0.181 +0.313j$. The impedance of the newly added capacitor is:
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\[X_C = \cfrac{1}{j\omega C} = -0.4171j \Omega \]
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Therefore net impedance is:
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\[ X_C || Z = \cfrac{ZX_C}{Z+X_C} = 0.7222 - 0.0027j\Omega \approx 0.7222\Omega \]
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\end{solutionorbox}
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\part[5] What is the power factor seen by the grid after the capacitor is installed?
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\begin{solutionorbox}[2in]
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The power factor is now nearly unity.
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Phase angle is about 0.2 degrees which for all practical purposes is almost zero.
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\end{solutionorbox}
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\end{parts}
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