diff --git a/IITDH-ExamTemplate.tex b/IITDH-ExamTemplate.tex new file mode 100644 index 0000000..2274464 --- /dev/null +++ b/IITDH-ExamTemplate.tex @@ -0,0 +1,126 @@ +%\documentclass[addpoints]{exam} +\documentclass[addpoints, answers]{exam} +%& -job-name=XYZ + +\usepackage[utf8]{inputenc} +\usepackage{amsmath} +\usepackage{cleveref} +\usepackage[siunitx, american]{circuitikz} +\usepackage{siunitx} +\usepackage{lastpage} +%\input{cedtcommands.tex} + +\footer{}{\thepage/\pageref{LastPage}}{} +%\boxedpoints +\bracketedpoints +\pointsinrightmargin + +%------------------------------------------------------------- +\begin{document} +%This code creates the text before the first question +%------------------------------------------------------------------- +\pagenumbering{arabic} \setcounter{page}{1} + +\vspace{-10mm} +\begin{center} +\includegraphics[width=0.5\textwidth]{Logo-BW_-Wide.png} +\end{center} +\begin{center}\textbf{\LARGE{EE101 Spring 2021 Exam 1} }\end{center} +\begin{center}{Instructor: Dr. Abhijit Kshirsagar \\({username@domain.academic})}\end{center} +\small +\begin{center} + %Date and Time + March 16, 2020, 8am - 10am +\end{center} + +\vspace{5mm} + +\makebox[\textwidth]{\large Full Name (all caps):\hspace{2mm}\enspace\hrulefill} + +\vspace{7mm} + +\makebox[\textwidth]{\large Roll Number / ID (all caps):\enspace\hrulefill} + +\vspace{5mm} + +{ + \large +\textbf{Instructions:} +\normalsize +\begin{enumerate} + \item Modify this text block to add all the instructions. + \item The front page is designed to have just the instructions - questions begin on the next page. + \item Put away all bags, books, notebooks, cellphones, laptops, tablets, smartwatches, etc. + \item Only ONE A4 or letter sized crib sheet for formulae or notes is allowed. + \item Scientific/programmable calculators are allowed. + \item Write your answers clearly and legibly in the space provided. + \item Points will be awarded for correct formulae, intermediate steps and working. + \item Use the provided paper for rough work if needed. + \item If any data are missing, make reasonable assumptions and state the same with justification. + \item This exam booklet has a total of {\numquestions}~questions on \pageref{LastPage} pages. + \item The exam consists of three sections worth 25 points, 25 points and 50 points respectively. + \item Points for each question are indicated in square brackets in the right margin. + \item For multiple choice questions, select the \textbf{best option} or \textbf{all correct answers}, as appropriate, + and write your response in the space below each question, e.g. \textbf{A} or \textbf{A,B,D} + \item For fill-in-the-blank questions write the answer in the corresponding blank space. +\end{enumerate} +} +\normalsize + +\clearpage +%------------------------------------------------------------------- + +%Here, the questions begin +\begin{questions} +\fullwidth{\Large \textbf{Section 1: \pointsinrange{grsec1} Points}} +\begingradingrange{grsec1} +\input{section1} +\endgradingrange{grsec1} + +%\clearpage +\fullwidth{\Large \textbf{Section 2: \pointsinrange{grsec2} Points}} +\begingradingrange{grsec2} +\input{section2} +\endgradingrange{grsec2} + +\clearpage +\fullwidth{\Large \textbf{Section 3: \pointsinrange{grsec3} Points}} +\begingradingrange{grsec3} +\input{section3} +\endgradingrange{grsec3} + +\end{questions} + +\clearpage +\begin{center} + \Large{\textbf{Do not write on this page.}}\\ + \vspace{10mm} + \hrule + \vspace{0.25in} + + + \underline{Section 1}\\ + \vspace{5mm} + \setlength{\doublerulesep}{0.25in} + \multirowpartialgradetable{2}{grsec1}[questions] + + + \vspace{0.25in} + %\hrule + \vspace{0.25in} + + \underline{Section 2}\\ + \vspace{5mm} + \multirowpartialgradetable{1}{grsec2}[questions] + + \vspace{0.25in} + %\hrule + \vspace{0.25in} + + \underline{Section 3}\\ + \vspace{5mm} + \multirowpartialgradetable{1}{grsec3}[questions] + +\end{center} +\cfoot{{\thepage/\pageref{LastPage}} \\ This exam was created with the `exam' class of \LaTeX} +\end{document} \ No newline at end of file diff --git a/Logo-BW_-Wide.png b/Logo-BW_-Wide.png new file mode 100644 index 0000000..f9eed7d Binary files /dev/null and b/Logo-BW_-Wide.png differ diff --git a/section1.tex b/section1.tex new file mode 100644 index 0000000..0799478 --- /dev/null +++ b/section1.tex @@ -0,0 +1,45 @@ +%\fullwidth{ +%Instructions: +% +%For multiple choice questions select the \textbf{best option} or \textbf{all correct answers}, as appropriate. +%and write your response in the space below each question, e.g. \textbf{A} or \textbf{A,B,D} +%\\For fill-in-the blank questions write the answer in the space provided. +%} +% +%\vspace{5mm} +%} + %Concept: + \question[1]This a multiple-choice question with a single answer. Which among the following is the largest integer? + \begin{choices} + \choice 1 + \choice 2 + \choice 3 + \CorrectChoice 4 + \end{choices} + \answerline +% \vspace{1mm} + + \question[1]This is a True / False Question. Is two greater than one?: +\begin{choices} + \CorrectChoice True + \choice False +\end{choices} +\answerline +%\vspace{5mm} + +\question[1] Multiple-choice questions can have more than one correct option also. Identify all the positive number from the following: +\begin{choices} + \CorrectChoice 1 + \choice -1 + \CorrectChoice 2 + \choice -2 +\end{choices} +\answerline +\vspace{5mm} + +\question[1] This is a fill-the-blanks question. Complete the following series: +One, three, \fillin[five][1in], seven, \fillin[nine][1in], eleven. +%\begin{solutionbox}[2in] +%Acceptable answers: Transmission, Distribution, Protection or any other reasonable answer. +%\end{solutionbox} +\vspace{5mm} \ No newline at end of file diff --git a/section2.tex b/section2.tex new file mode 100644 index 0000000..01cc560 --- /dev/null +++ b/section2.tex @@ -0,0 +1,8 @@ +\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}. +\begin{solutionorbox}[2in] + Total Energy = Power x time\\ + $=1\si{\kilo\watt}\times24\si{\hour}$\\ + $=1000\si{\watt}\times24\times60\times60\si{\sec}$\\ + $=86400\si{\kilo\joule}$ +\end{solutionorbox} + diff --git a/section3.tex b/section3.tex new file mode 100644 index 0000000..9db73ac --- /dev/null +++ b/section3.tex @@ -0,0 +1,89 @@ +\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\%. +Estimate the active area of this panel (i.e. the area of semiconductor that light falls on) in \si{\meter\squared}. + +\begin{solutionorbox}[7.75in] +At Standard test conditions, the incident radiant energy is 1kW/m\textsuperscript{2}. +Assume that the area of the panel is $A$. The radiant power falling on this panel, i.e. incident power, is therefore: +\begin{equation*} +P_\text{incident}= 1\text{kW}/m^2 * A +\end{equation*} +The output power is just the incident power times the efficiency: +\begin{equation*} +P_\text{output}= 1\text{kW}/m^2 * A * \eta +\end{equation*} +Where efficiency $\eta=(19.6/100)$. + +The maximum output power can be determined from the maximum power point details: +Pout +\begin{equation*} +P_\text{out}= V_{oc}*I_{sc}. +\end{equation*} +Thus, equating the two values of P\textsubscript{out}, we can calculate $A$: + +\begin{equation*} +A= (V_{oc}*I_{sc})/(\eta * 1kW/m^2) = 1.71 m^2 = 18\text{\ square feet}. +\end{equation*} +\end{solutionorbox} + +\clearpage + +\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. +\fillwithgrid{8in} +\clearpage + +\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. +\begin{figure}[h] + \centering + \begin{circuitikz}[scale=0.7] + \draw + (0,0) to[sinusoidal voltage source, , v_<=$v_g(t)$] (0,4) + to[short,i=${i_g(t)}$] (5,4) + %(5,0) to[I, color=blue, *-*, l=$i_c(t)$] (5,4) + (5,4) -- (7,4) + to[european resistor, l=$Z$] (7,0) -- (0,0); + \end{circuitikz} + %\caption*{Problem 1} + \label{fig:prob1} +\end{figure} +\begin{parts} + \part[5] Calculate values of P, Q and S (with the appropriate units): +\begin{solutionorbox}[4in] + Given that P is 10kW and $cos\theta=0.5$ therefore current lags voltage by $60^\circ$. + + Magnitude of apparent power is therefore P/$\cos60^\circ$=20kVA. + + Therefore $Q=S\sin\theta=17.32\text{kVAR}$. + + Since the load is inductive, Q has a positive value. +\end{solutionorbox} +\vspace{5mm} +P = \fillin[10kW][2in] +\vspace{2mm} + +Q = \fillin[17.32kVAr][2in] +\vspace{2mm} + +S = \fillin[20kVA][2in] + +\part[5]Draw the power triangle for this load. You can change the spacing of the grid too: +\vspace{5mm} +\setlength{\gridsize}{\dimexpr.025\linewidth-41\gridlinewidth} +\fillwithgrid{3in} +\clearpage + +\part[5] Calculate the net impedance now. +\begin{solutionorbox}[3.5in] + The net impedance is the parallel combination of the capacitor's impedance and the existing load. + We found that $Z=0.181 +0.313j$. The impedance of the newly added capacitor is: + \[X_C = \cfrac{1}{j\omega C} = -0.4171j \Omega \] + Therefore net impedance is: + \[ X_C || Z = \cfrac{ZX_C}{Z+X_C} = 0.7222 - 0.0027j\Omega \approx 0.7222\Omega \] +\end{solutionorbox} + +\part[5] What is the power factor seen by the grid after the capacitor is installed? +\begin{solutionorbox}[2in] + The power factor is now nearly unity. + + Phase angle is about 0.2 degrees which for all practical purposes is almost zero. +\end{solutionorbox} +\end{parts} \ No newline at end of file