Abhijit Kshirsagar Kshirsagar
3 years ago
5 changed files with 268 additions and 0 deletions
@ -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} |
After Width: | Height: | Size: 37 KiB |
@ -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} |
@ -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} |
||||
|
|
@ -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} |
Loading…
Reference in new issue