QB/d cp2.10

Equations See special:permalink/1895273 for a wikitext version of this quiz.

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\documentclass[11pt]{exam} \RequirePackage{amssymb, amsfonts, amsmath, latexsym, verbatim, xspace, setspace,datetime} \RequirePackage{tikz, pgflibraryplotmarks, hyperref} \usepackage[left=.5in, right=.5in, bottom=.5in, top=.75in]{geometry} \usepackage{endnotes, multicol,textgreek} % \usepackage{graphicx} % \singlespacing %OR \onehalfspacing OR \doublespacing \parindent 0ex % Turns off paragraph indentation \hypersetup{ colorlinks=true, urlcolor=blue} % BEGIN DOCUMENT \begin{document} \title{d\_cp2.10} \author{The LaTex code that creates this quiz is released to the Public Domain\\ Attribution for each question is documented in the Appendix} \maketitle \begin{center} \includegraphics[width=0.15\textwidth]{666px-Wikiversity-logo-en.png} \\Latex markup at\\ \footnotesize{ \url{https://en.wikiversity.org/wiki/special:permalink/1895273}} \end{center} \begin{frame}{} \begin{multicols}{3} \tableofcontents \end{multicols} \end{frame} \pagebreak\section{Quiz} \keytrue \printanswers \begin{questions} \question A given battery has a 12\,V emf and an internal resistance of 0.1\,\textOmega\. If it is connected to a 0.5\,\textOmega\  resistor what is the power dissipated by that load?\ifkey\endnote{Example 10.1 from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:SFE57-D2@4/101-Electromotive-Force\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1895273}}}\fi \begin{choices} \choice 1.503E+02\,W \choice 1.653E+02\,W \choice 1.818E+02\,W \CorrectChoice 2.000E+02\,W \choice 2.200E+02\,W \end{choices}

\question A battery with a terminal voltage of 9\,V is connected to a circuit consisting of 4 20\,\textOmega\ resistors and one 10\,\textOmega\  resistor. What is the voltage drop across the 10\,\textOmega\ resistor?\ifkey\endnote{Example 10.\# from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:Aghicpfd@2/102-Resistors-in-Series-and-Pa\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1895273}}}\fi \begin{choices} \choice 7.513E-01\,V \choice 8.264E-01\,V \choice 9.091E-01\,V \CorrectChoice 1.000E+00\,V \choice 1.100E+00\,V \end{choices}

\question Three resistors, R\textsubscript{1}\,=\,1\,\textOmega\, and R\textsubscript{2}\,=\,R\textsubscript{2}\,=\,2\,\textOmega\ , are connected in parallel to a 3\,V voltage source. Calculate the power dissipated by the smaller resistor (R\textsubscript{1}.) \ifkey\endnote{Example 10.3 from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:Aghicpfd@2/102-Resistors-in-Series-and-Pa\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1895273}}}\fi \begin{choices} \choice 6.762E+00\,W \choice 7.438E+00\,W \choice 8.182E+00\,W \CorrectChoice 9.000E+00\,W \choice 9.900E+00\,W \end{choices}

\question \includegraphics[width=0.19\textwidth]{DC-circuit-3-resistors-1-voltage-source.png}In the circuit shown V=12\,V, R\textsubscript{1}=1\,\textOmega\, R\textsubscript{2}=6\,\textOmega\ , and R\textsubscript{3}=13\,\textOmega\. What is the power dissipated by R\textsubscript{2}?\ifkey\endnote{Example 10.4 from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:Aghicpfd@2/102-Resistors-in-Series-and-Pa\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1895273}}}\fi \begin{choices} \CorrectChoice 1.552E+01\,W \choice 1.707E+01\,W \choice 1.878E+01\,W \choice 2.066E+01\,W \choice 2.272E+01\,W \end{choices}

\question \includegraphics[width=0.2\textwidth]{KirchhoffLaws-simple.png}The resistances in the figure shown are R\textsubscript{1}= 2\,\textOmega\, R\textsubscript{2}= 1\,\textOmega\ , and R\textsubscript{2}= 3\,\textOmega\. V\textsubscript{1} and V\textsubscript{3} are text 0.5\,V and 2.3\,V, respectively. But V\textsubscript{2} is opposite to that shown in the figure, or, equivalently, V\textsubscript{2}=\(-\)0.6\,V. What is the absolute value of the current through R\textsubscript{1}?\ifkey\endnote{Example 10.6 from OpenStax University Physics 2: https://cnx.org/contents/eg-XcBxE@9.8:7DqkHtKM@2/103-Kirchhoffs-Rules\#CNX\_UPhysics\_27\_02\_Specified\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1895273}}}\fi \begin{choices} \choice 1.653E-01\,A \choice 1.818E-01\,A \CorrectChoice 2.000E-01\,A \choice 2.200E-01\,A \choice 2.420E-01\,A \end{choices}

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=22.5\,V, and \textepsilon\textsubscript{2}=10\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=2\,k\textOmega\ and  R\textsubscript{2}=1\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=5.0\,mA and I\textsubscript{4}=1.25\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of I\textsubscript{5}?\ifkey\endnote{Kirchhoff rules user:Guy vandegrift Public Domain\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1895273}}}\fi \begin{choices} \choice 3.099E+00\,mA \choice 3.409E+00\,mA \CorrectChoice 3.750E+00\,mA \choice 4.125E+00\,mA \choice 4.538E+00\,mA \end{choices}

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=22.5\,V, and \textepsilon\textsubscript{2}=10\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=2\,k\textOmega\ and  R\textsubscript{2}=1\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=5.0\,mA and I\textsubscript{4}=1.25\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{1}?\ifkey\endnote{Kirchhoff rules user:Guy vandegrift Public Domain\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1895273}}}\fi \begin{choices} \CorrectChoice 5.000E+00\,V \choice 5.500E+00\,V \choice 6.050E+00\,V \choice 6.655E+00\,V \choice 7.321E+00\,V \end{choices}

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=22.5\,V, and \textepsilon\textsubscript{2}=10\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=2\,k\textOmega\ and  R\textsubscript{2}=1\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=5.0\,mA and I\textsubscript{4}=1.25\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{2}?\ifkey\endnote{Kirchhoff rules user:Guy vandegrift Public Domain\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1895273}}}\fi \begin{choices} \choice 6.198E+00\,V \choice 6.818E+00\,V \CorrectChoice 7.500E+00\,V \choice 8.250E+00\,V \choice 9.075E+00\,V \end{choices}

\question \includegraphics[width=0.16\textwidth]{RC-switch.png}In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 100\,V. If the combined external and internal resistance is 101\,\textOmega\ and the capacitance is 50\,mF, how long will it take for the capacitor's voltage to reach 80\,V?\ifkey\endnote{Example 10.8 from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:h2kCjzVL@3/105-RC-Circuits\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1895273}}}\fi \begin{choices} \CorrectChoice 8.128E+00\,s \choice 8.940E+00\,s \choice 9.834E+00\,s \choice 1.082E+01\,s \choice 1.190E+01\,s \end{choices}

\end{questions} \newpage \section{Renditions} %%% Renditions %%%%

\subsection{}%%%% subsection 1

\begin{questions} %%%%%%% begin questions

\question A given battery has a 12\,V emf and an internal resistance of 0.193\,\textOmega\. If it is connected to a 0.89\,\textOmega\  resistor what is the power dissipated by that load? \begin{choices} %%%%%%% begin choices \choice 8.210E+01\,W \choice 9.030E+01\,W \choice 9.934E+01\,W \CorrectChoice 1.093E+02\,W \choice 1.202E+02\,W \end{choices} %%% end choices

\question A given battery has a 14\,V emf and an internal resistance of 0.0842\,\textOmega\. If it is connected to a 0.835\,\textOmega\  resistor what is the power dissipated by that load? \begin{choices} %%%%%%% begin choices \choice 1.455E+02\,W \choice 1.601E+02\,W \choice 1.761E+02\,W \CorrectChoice 1.937E+02\,W \choice 2.131E+02\,W \end{choices} %%% end choices

\question A given battery has a 13\,V emf and an internal resistance of 0.159\,\textOmega\. If it is connected to a 0.617\,\textOmega\  resistor what is the power dissipated by that load? \begin{choices} %%%%%%% begin choices \choice 1.301E+02\,W \choice 1.431E+02\,W \choice 1.574E+02\,W \CorrectChoice 1.732E+02\,W \choice 1.905E+02\,W \end{choices} %%% end choices

\question A given battery has a 12\,V emf and an internal resistance of 0.107\,\textOmega\. If it is connected to a 0.814\,\textOmega\  resistor what is the power dissipated by that load? \begin{choices} %%%%%%% begin choices \CorrectChoice 1.382E+02\,W \choice 1.520E+02\,W \choice 1.672E+02\,W \choice 1.839E+02\,W \choice 2.023E+02\,W \end{choices} %%% end choices

\question A given battery has a 14\,V emf and an internal resistance of 0.198\,\textOmega\. If it is connected to a 0.534\,\textOmega\  resistor what is the power dissipated by that load? \begin{choices} %%%%%%% begin choices \choice 1.776E+02\,W \CorrectChoice 1.953E+02\,W \choice 2.149E+02\,W \choice 2.364E+02\,W \choice 2.600E+02\,W \end{choices} %%% end choices

\question A given battery has a 13\,V emf and an internal resistance of 0.106\,\textOmega\. If it is connected to a 0.752\,\textOmega\  resistor what is the power dissipated by that load? \begin{choices} %%%%%%% begin choices \choice 1.569E+02\,W \CorrectChoice 1.726E+02\,W \choice 1.899E+02\,W \choice 2.089E+02\,W \choice 2.298E+02\,W \end{choices} %%% end choices

\question A given battery has a 15\,V emf and an internal resistance of 0.162\,\textOmega\. If it is connected to a 0.561\,\textOmega\  resistor what is the power dissipated by that load? \begin{choices} %%%%%%% begin choices \choice 1.814E+02\,W \choice 1.996E+02\,W \choice 2.195E+02\,W \CorrectChoice 2.415E+02\,W \choice 2.656E+02\,W \end{choices} %%% end choices

\question A given battery has a 11\,V emf and an internal resistance of 0.0998\,\textOmega\. If it is connected to a 0.417\,\textOmega\  resistor what is the power dissipated by that load? \begin{choices} %%%%%%% begin choices \choice 1.419E+02\,W \choice 1.561E+02\,W \choice 1.717E+02\,W \CorrectChoice 1.889E+02\,W \choice 2.078E+02\,W \end{choices} %%% end choices

\question A given battery has a 15\,V emf and an internal resistance of 0.113\,\textOmega\. If it is connected to a 0.645\,\textOmega\  resistor what is the power dissipated by that load? \begin{choices} %%%%%%% begin choices \choice 1.898E+02\,W \choice 2.087E+02\,W \choice 2.296E+02\,W \CorrectChoice 2.526E+02\,W \choice 2.778E+02\,W \end{choices} %%% end choices

\question A given battery has a 14\,V emf and an internal resistance of 0.132\,\textOmega\. If it is connected to a 0.689\,\textOmega\  resistor what is the power dissipated by that load? \begin{choices} %%%%%%% begin choices \choice 1.656E+02\,W \choice 1.821E+02\,W \CorrectChoice 2.003E+02\,W \choice 2.204E+02\,W \choice 2.424E+02\,W \end{choices} %%% end choices

\question A given battery has a 14\,V emf and an internal resistance of 0.192\,\textOmega\. If it is connected to a 0.766\,\textOmega\  resistor what is the power dissipated by that load? \begin{choices} %%%%%%% begin choices \choice 1.229E+02\,W \choice 1.352E+02\,W \choice 1.487E+02\,W \CorrectChoice 1.636E+02\,W \choice 1.799E+02\,W \end{choices} %%% end choices

\question A given battery has a 13\,V emf and an internal resistance of 0.161\,\textOmega\. If it is connected to a 0.814\,\textOmega\  resistor what is the power dissipated by that load? \begin{choices} %%%%%%% begin choices \choice 1.087E+02\,W \choice 1.196E+02\,W \choice 1.316E+02\,W \CorrectChoice 1.447E+02\,W \choice 1.592E+02\,W \end{choices} %%% end choices

\question A given battery has a 12\,V emf and an internal resistance of 0.0984\,\textOmega\. If it is connected to a 0.485\,\textOmega\  resistor what is the power dissipated by that load? \begin{choices} %%%%%%% begin choices \CorrectChoice 2.052E+02\,W \choice 2.257E+02\,W \choice 2.483E+02\,W \choice 2.731E+02\,W \choice 3.004E+02\,W \end{choices} %%% end choices

\question A given battery has a 15\,V emf and an internal resistance of 0.177\,\textOmega\. If it is connected to a 0.824\,\textOmega\  resistor what is the power dissipated by that load? \begin{choices} %%%%%%% begin choices \choice 1.682E+02\,W \CorrectChoice 1.850E+02\,W \choice 2.035E+02\,W \choice 2.239E+02\,W \choice 2.463E+02\,W \end{choices} %%% end choices

\question A given battery has a 15\,V emf and an internal resistance of 0.0536\,\textOmega\. If it is connected to a 0.64\,\textOmega\  resistor what is the power dissipated by that load? \begin{choices} %%%%%%% begin choices \choice 2.721E+02\,W \CorrectChoice 2.993E+02\,W \choice 3.293E+02\,W \choice 3.622E+02\,W \choice 3.984E+02\,W \end{choices} %%% end choices

\question A given battery has a 9\,V emf and an internal resistance of 0.141\,\textOmega\. If it is connected to a 0.663\,\textOmega\  resistor what is the power dissipated by that load? \begin{choices} %%%%%%% begin choices \choice 5.674E+01\,W \choice 6.242E+01\,W \choice 6.866E+01\,W \choice 7.553E+01\,W \CorrectChoice 8.308E+01\,W \end{choices} %%% end choices

\question A given battery has a 9\,V emf and an internal resistance of 0.16\,\textOmega\. If it is connected to a 0.45\,\textOmega\  resistor what is the power dissipated by that load? \begin{choices} %%%%%%% begin choices \choice 6.691E+01\,W \choice 7.360E+01\,W \choice 8.096E+01\,W \choice 8.905E+01\,W \CorrectChoice 9.796E+01\,W \end{choices} %%% end choices

\question A given battery has a 10\,V emf and an internal resistance of 0.119\,\textOmega\. If it is connected to a 0.445\,\textOmega\  resistor what is the power dissipated by that load? \begin{choices} %%%%%%% begin choices \choice 1.272E+02\,W \CorrectChoice 1.399E+02\,W \choice 1.539E+02\,W \choice 1.693E+02\,W \choice 1.862E+02\,W \end{choices} %%% end choices

\question A given battery has a 13\,V emf and an internal resistance of 0.113\,\textOmega\. If it is connected to a 0.686\,\textOmega\  resistor what is the power dissipated by that load? \begin{choices} %%%%%%% begin choices \choice 1.501E+02\,W \choice 1.651E+02\,W \CorrectChoice 1.816E+02\,W \choice 1.998E+02\,W \choice 2.197E+02\,W \end{choices} %%% end choices %\pagebreak %\end{choices}%?????????????? \end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 2

\begin{questions} %%%%%%% begin questions

\question A battery with a terminal voltage of 14.9\,V is connected to a circuit consisting of 2 23.3\,\textOmega\ resistors and one 13.6\,\textOmega\  resistor. What is the voltage drop across the 13.6\,\textOmega\ resistor? \begin{choices} %%%%%%% begin choices \CorrectChoice 3.366E+00\,V \choice 3.703E+00\,V \choice 4.073E+00\,V \choice 4.480E+00\,V \choice 4.928E+00\,V \end{choices} %%% end choices

\question A battery with a terminal voltage of 8.14\,V is connected to a circuit consisting of 2 21.5\,\textOmega\ resistors and one 13.1\,\textOmega\  resistor. What is the voltage drop across the 13.1\,\textOmega\ resistor? \begin{choices} %%%%%%% begin choices \choice 1.298E+00\,V \choice 1.428E+00\,V \choice 1.571E+00\,V \choice 1.728E+00\,V \CorrectChoice 1.901E+00\,V \end{choices} %%% end choices

\question A battery with a terminal voltage of 14.1\,V is connected to a circuit consisting of 3 15.7\,\textOmega\ resistors and one 10.2\,\textOmega\  resistor. What is the voltage drop across the 10.2\,\textOmega\ resistor? \begin{choices} %%%%%%% begin choices \choice 2.074E+00\,V \choice 2.282E+00\,V \CorrectChoice 2.510E+00\,V \choice 2.761E+00\,V \choice 3.037E+00\,V \end{choices} %%% end choices

\question A battery with a terminal voltage of 8.72\,V is connected to a circuit consisting of 2 15.8\,\textOmega\ resistors and one 9.58\,\textOmega\  resistor. What is the voltage drop across the 9.58\,\textOmega\ resistor? \begin{choices} %%%%%%% begin choices \choice 1.677E+00\,V \choice 1.844E+00\,V \CorrectChoice 2.029E+00\,V \choice 2.231E+00\,V \choice 2.455E+00\,V \end{choices} %%% end choices

\question A battery with a terminal voltage of 8.41\,V is connected to a circuit consisting of 3 16.1\,\textOmega\ resistors and one 10.9\,\textOmega\  resistor. What is the voltage drop across the 10.9\,\textOmega\ resistor? \begin{choices} %%%%%%% begin choices \choice 1.058E+00\,V \choice 1.163E+00\,V \choice 1.280E+00\,V \choice 1.408E+00\,V \CorrectChoice 1.548E+00\,V \end{choices} %%% end choices

\question A battery with a terminal voltage of 6.49\,V is connected to a circuit consisting of 3 18.0\,\textOmega\ resistors and one 10.3\,\textOmega\  resistor. What is the voltage drop across the 10.3\,\textOmega\ resistor? \begin{choices} %%%%%%% begin choices \choice 7.101E-01\,V \choice 7.811E-01\,V \choice 8.592E-01\,V \choice 9.451E-01\,V \CorrectChoice 1.040E+00\,V \end{choices} %%% end choices

\question A battery with a terminal voltage of 9.88\,V is connected to a circuit consisting of 3 15.9\,\textOmega\ resistors and one 10.8\,\textOmega\  resistor. What is the voltage drop across the 10.8\,\textOmega\ resistor? \begin{choices} %%%%%%% begin choices \choice 1.370E+00\,V \choice 1.507E+00\,V \choice 1.658E+00\,V \CorrectChoice 1.824E+00\,V \choice 2.006E+00\,V \end{choices} %%% end choices

\question A battery with a terminal voltage of 8.01\,V is connected to a circuit consisting of 3 22.1\,\textOmega\ resistors and one 14.5\,\textOmega\  resistor. What is the voltage drop across the 14.5\,\textOmega\ resistor? \begin{choices} %%%%%%% begin choices \choice 9.818E-01\,V \choice 1.080E+00\,V \choice 1.188E+00\,V \choice 1.307E+00\,V \CorrectChoice 1.437E+00\,V \end{choices} %%% end choices

\question A battery with a terminal voltage of 14.1\,V is connected to a circuit consisting of 2 20.3\,\textOmega\ resistors and one 13.1\,\textOmega\  resistor. What is the voltage drop across the 13.1\,\textOmega\ resistor? \begin{choices} %%%%%%% begin choices \choice 2.843E+00\,V \choice 3.127E+00\,V \CorrectChoice 3.440E+00\,V \choice 3.784E+00\,V \choice 4.162E+00\,V \end{choices} %%% end choices

\question A battery with a terminal voltage of 13.2\,V is connected to a circuit consisting of 3 15.7\,\textOmega\ resistors and one 10.3\,\textOmega\  resistor. What is the voltage drop across the 10.3\,\textOmega\ resistor? \begin{choices} %%%%%%% begin choices \choice 1.958E+00\,V \choice 2.153E+00\,V \CorrectChoice 2.369E+00\,V \choice 2.606E+00\,V \choice 2.866E+00\,V \end{choices} %%% end choices

\question A battery with a terminal voltage of 7.82\,V is connected to a circuit consisting of 2 19.3\,\textOmega\ resistors and one 12.2\,\textOmega\  resistor. What is the voltage drop across the 12.2\,\textOmega\ resistor? \begin{choices} %%%%%%% begin choices \choice 1.552E+00\,V \choice 1.707E+00\,V \CorrectChoice 1.878E+00\,V \choice 2.066E+00\,V \choice 2.272E+00\,V \end{choices} %%% end choices

\question A battery with a terminal voltage of 10.6\,V is connected to a circuit consisting of 2 21.1\,\textOmega\ resistors and one 12.8\,\textOmega\  resistor. What is the voltage drop across the 12.8\,\textOmega\ resistor? \begin{choices} %%%%%%% begin choices \CorrectChoice 2.467E+00\,V \choice 2.714E+00\,V \choice 2.985E+00\,V \choice 3.283E+00\,V \choice 3.612E+00\,V \end{choices} %%% end choices

\question A battery with a terminal voltage of 8.66\,V is connected to a circuit consisting of 3 19.6\,\textOmega\ resistors and one 10.6\,\textOmega\  resistor. What is the voltage drop across the 10.6\,\textOmega\ resistor? \begin{choices} %%%%%%% begin choices \choice 1.202E+00\,V \CorrectChoice 1.323E+00\,V \choice 1.455E+00\,V \choice 1.600E+00\,V \choice 1.761E+00\,V \end{choices} %%% end choices

\question A battery with a terminal voltage of 10.7\,V is connected to a circuit consisting of 2 24.5\,\textOmega\ resistors and one 15.2\,\textOmega\  resistor. What is the voltage drop across the 15.2\,\textOmega\ resistor? \begin{choices} %%%%%%% begin choices \choice 1.730E+00\,V \choice 1.903E+00\,V \choice 2.094E+00\,V \choice 2.303E+00\,V \CorrectChoice 2.533E+00\,V \end{choices} %%% end choices

\question A battery with a terminal voltage of 14.6\,V is connected to a circuit consisting of 2 21.7\,\textOmega\ resistors and one 14.4\,\textOmega\  resistor. What is the voltage drop across the 14.4\,\textOmega\ resistor? \begin{choices} %%%%%%% begin choices \CorrectChoice 3.637E+00\,V \choice 4.001E+00\,V \choice 4.401E+00\,V \choice 4.841E+00\,V \choice 5.325E+00\,V \end{choices} %%% end choices

\question A battery with a terminal voltage of 7.63\,V is connected to a circuit consisting of 3 20.9\,\textOmega\ resistors and one 12.1\,\textOmega\  resistor. What is the voltage drop across the 12.1\,\textOmega\ resistor? \begin{choices} %%%%%%% begin choices \CorrectChoice 1.234E+00\,V \choice 1.358E+00\,V \choice 1.493E+00\,V \choice 1.643E+00\,V \choice 1.807E+00\,V \end{choices} %%% end choices

\question A battery with a terminal voltage of 14.9\,V is connected to a circuit consisting of 2 16.3\,\textOmega\ resistors and one 9.8\,\textOmega\  resistor. What is the voltage drop across the 9.8\,\textOmega\ resistor? \begin{choices} %%%%%%% begin choices \choice 2.352E+00\,V \choice 2.587E+00\,V \choice 2.846E+00\,V \choice 3.131E+00\,V \CorrectChoice 3.444E+00\,V \end{choices} %%% end choices

\question A battery with a terminal voltage of 7.63\,V is connected to a circuit consisting of 2 15.9\,\textOmega\ resistors and one 10.4\,\textOmega\  resistor. What is the voltage drop across the 10.4\,\textOmega\ resistor? \begin{choices} %%%%%%% begin choices \choice 1.709E+00\,V \CorrectChoice 1.880E+00\,V \choice 2.068E+00\,V \choice 2.275E+00\,V \choice 2.503E+00\,V \end{choices} %%% end choices

\question A battery with a terminal voltage of 12.4\,V is connected to a circuit consisting of 3 21.6\,\textOmega\ resistors and one 12.1\,\textOmega\  resistor. What is the voltage drop across the 12.1\,\textOmega\ resistor? \begin{choices} %%%%%%% begin choices \choice 1.333E+00\,V \choice 1.466E+00\,V \choice 1.612E+00\,V \choice 1.774E+00\,V \CorrectChoice 1.951E+00\,V \end{choices} %%% end choices %\pagebreak %\end{choices}%?????????????? \end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 3

\begin{questions} %%%%%%% begin questions

\question Three resistors, R\textsubscript{1}\,=\,1.7\,\textOmega\, and R\textsubscript{2}\,=\,R\textsubscript{2}\,=\,3.75\,\textOmega\ , are connected in parallel to a 9.74\,V voltage source. Calculate the power dissipated by the smaller resistor (R\textsubscript{1}.) \begin{choices} %%%%%%% begin choices \choice 4.193E+01\,W \choice 4.612E+01\,W \choice 5.073E+01\,W \CorrectChoice 5.580E+01\,W \choice 6.138E+01\,W \end{choices} %%% end choices

\question Three resistors, R\textsubscript{1}\,=\,0.672\,\textOmega\, and R\textsubscript{2}\,=\,R\textsubscript{2}\,=\,1.52\,\textOmega\ , are connected in parallel to a 5.34\,V voltage source. Calculate the power dissipated by the smaller resistor (R\textsubscript{1}.) \begin{choices} %%%%%%% begin choices \choice 2.898E+01\,W \choice 3.188E+01\,W \choice 3.507E+01\,W \choice 3.858E+01\,W \CorrectChoice 4.243E+01\,W \end{choices} %%% end choices

\question Three resistors, R\textsubscript{1}\,=\,1.82\,\textOmega\, and R\textsubscript{2}\,=\,R\textsubscript{2}\,=\,4.14\,\textOmega\ , are connected in parallel to a 5.65\,V voltage source. Calculate the power dissipated by the smaller resistor (R\textsubscript{1}.) \begin{choices} %%%%%%% begin choices \CorrectChoice 1.754E+01\,W \choice 1.929E+01\,W \choice 2.122E+01\,W \choice 2.335E+01\,W \choice 2.568E+01\,W \end{choices} %%% end choices

\question Three resistors, R\textsubscript{1}\,=\,0.61\,\textOmega\, and R\textsubscript{2}\,=\,R\textsubscript{2}\,=\,1.35\,\textOmega\ , are connected in parallel to a 7.04\,V voltage source. Calculate the power dissipated by the smaller resistor (R\textsubscript{1}.) \begin{choices} %%%%%%% begin choices \choice 7.386E+01\,W \CorrectChoice 8.125E+01\,W \choice 8.937E+01\,W \choice 9.831E+01\,W \choice 1.081E+02\,W \end{choices} %%% end choices

\question Three resistors, R\textsubscript{1}\,=\,0.624\,\textOmega\, and R\textsubscript{2}\,=\,R\textsubscript{2}\,=\,1.37\,\textOmega\ , are connected in parallel to a 7.46\,V voltage source. Calculate the power dissipated by the smaller resistor (R\textsubscript{1}.) \begin{choices} %%%%%%% begin choices \choice 7.371E+01\,W \choice 8.108E+01\,W \CorrectChoice 8.919E+01\,W \choice 9.810E+01\,W \choice 1.079E+02\,W \end{choices} %%% end choices

\question Three resistors, R\textsubscript{1}\,=\,0.87\,\textOmega\, and R\textsubscript{2}\,=\,R\textsubscript{2}\,=\,2.0\,\textOmega\ , are connected in parallel to a 8.57\,V voltage source. Calculate the power dissipated by the smaller resistor (R\textsubscript{1}.) \begin{choices} %%%%%%% begin choices \choice 6.977E+01\,W \choice 7.674E+01\,W \CorrectChoice 8.442E+01\,W \choice 9.286E+01\,W \choice 1.021E+02\,W \end{choices} %%% end choices

\question Three resistors, R\textsubscript{1}\,=\,1.41\,\textOmega\, and R\textsubscript{2}\,=\,R\textsubscript{2}\,=\,3.17\,\textOmega\ , are connected in parallel to a 5.89\,V voltage source. Calculate the power dissipated by the smaller resistor (R\textsubscript{1}.) \begin{choices} %%%%%%% begin choices \choice 1.681E+01\,W \choice 1.849E+01\,W \choice 2.033E+01\,W \choice 2.237E+01\,W \CorrectChoice 2.460E+01\,W \end{choices} %%% end choices

\question Three resistors, R\textsubscript{1}\,=\,1.74\,\textOmega\, and R\textsubscript{2}\,=\,R\textsubscript{2}\,=\,3.92\,\textOmega\ , are connected in parallel to a 8.5\,V voltage source. Calculate the power dissipated by the smaller resistor (R\textsubscript{1}.) \begin{choices} %%%%%%% begin choices \choice 2.836E+01\,W \choice 3.120E+01\,W \choice 3.432E+01\,W \choice 3.775E+01\,W \CorrectChoice 4.152E+01\,W \end{choices} %%% end choices

\question Three resistors, R\textsubscript{1}\,=\,0.906\,\textOmega\, and R\textsubscript{2}\,=\,R\textsubscript{2}\,=\,2.02\,\textOmega\ , are connected in parallel to a 5.98\,V voltage source. Calculate the power dissipated by the smaller resistor (R\textsubscript{1}.) \begin{choices} %%%%%%% begin choices \choice 3.262E+01\,W \choice 3.588E+01\,W \CorrectChoice 3.947E+01\,W \choice 4.342E+01\,W \choice 4.776E+01\,W \end{choices} %%% end choices

\question Three resistors, R\textsubscript{1}\,=\,1.43\,\textOmega\, and R\textsubscript{2}\,=\,R\textsubscript{2}\,=\,3.25\,\textOmega\ , are connected in parallel to a 9.03\,V voltage source. Calculate the power dissipated by the smaller resistor (R\textsubscript{1}.) \begin{choices} %%%%%%% begin choices \choice 5.184E+01\,W \CorrectChoice 5.702E+01\,W \choice 6.272E+01\,W \choice 6.900E+01\,W \choice 7.590E+01\,W \end{choices} %%% end choices

\question Three resistors, R\textsubscript{1}\,=\,1.23\,\textOmega\, and R\textsubscript{2}\,=\,R\textsubscript{2}\,=\,2.73\,\textOmega\ , are connected in parallel to a 5.41\,V voltage source. Calculate the power dissipated by the smaller resistor (R\textsubscript{1}.) \begin{choices} %%%%%%% begin choices \choice 1.788E+01\,W \choice 1.967E+01\,W \choice 2.163E+01\,W \CorrectChoice 2.380E+01\,W \choice 2.617E+01\,W \end{choices} %%% end choices

\question Three resistors, R\textsubscript{1}\,=\,1.39\,\textOmega\, and R\textsubscript{2}\,=\,R\textsubscript{2}\,=\,3.06\,\textOmega\ , are connected in parallel to a 6.21\,V voltage source. Calculate the power dissipated by the smaller resistor (R\textsubscript{1}.) \begin{choices} %%%%%%% begin choices \choice 2.293E+01\,W \choice 2.522E+01\,W \CorrectChoice 2.774E+01\,W \choice 3.052E+01\,W \choice 3.357E+01\,W \end{choices} %%% end choices

\question Three resistors, R\textsubscript{1}\,=\,1.2\,\textOmega\, and R\textsubscript{2}\,=\,R\textsubscript{2}\,=\,2.75\,\textOmega\ , are connected in parallel to a 6.42\,V voltage source. Calculate the power dissipated by the smaller resistor (R\textsubscript{1}.) \begin{choices} %%%%%%% begin choices \choice 2.581E+01\,W \choice 2.839E+01\,W \choice 3.122E+01\,W \CorrectChoice 3.435E+01\,W \choice 3.778E+01\,W \end{choices} %%% end choices

\question Three resistors, R\textsubscript{1}\,=\,1.31\,\textOmega\, and R\textsubscript{2}\,=\,R\textsubscript{2}\,=\,2.91\,\textOmega\ , are connected in parallel to a 6.03\,V voltage source. Calculate the power dissipated by the smaller resistor (R\textsubscript{1}.) \begin{choices} %%%%%%% begin choices \choice 2.294E+01\,W \choice 2.523E+01\,W \CorrectChoice 2.776E+01\,W \choice 3.053E+01\,W \choice 3.359E+01\,W \end{choices} %%% end choices

\question Three resistors, R\textsubscript{1}\,=\,1.52\,\textOmega\, and R\textsubscript{2}\,=\,R\textsubscript{2}\,=\,3.38\,\textOmega\ , are connected in parallel to a 5.82\,V voltage source. Calculate the power dissipated by the smaller resistor (R\textsubscript{1}.) \begin{choices} %%%%%%% begin choices \choice 1.842E+01\,W \choice 2.026E+01\,W \CorrectChoice 2.228E+01\,W \choice 2.451E+01\,W \choice 2.696E+01\,W \end{choices} %%% end choices

\question Three resistors, R\textsubscript{1}\,=\,0.686\,\textOmega\, and R\textsubscript{2}\,=\,R\textsubscript{2}\,=\,1.58\,\textOmega\ , are connected in parallel to a 8.97\,V voltage source. Calculate the power dissipated by the smaller resistor (R\textsubscript{1}.) \begin{choices} %%%%%%% begin choices \CorrectChoice 1.173E+02\,W \choice 1.290E+02\,W \choice 1.419E+02\,W \choice 1.561E+02\,W \choice 1.717E+02\,W \end{choices} %%% end choices

\question Three resistors, R\textsubscript{1}\,=\,0.855\,\textOmega\, and R\textsubscript{2}\,=\,R\textsubscript{2}\,=\,1.91\,\textOmega\ , are connected in parallel to a 6.97\,V voltage source. Calculate the power dissipated by the smaller resistor (R\textsubscript{1}.) \begin{choices} %%%%%%% begin choices \CorrectChoice 5.682E+01\,W \choice 6.250E+01\,W \choice 6.875E+01\,W \choice 7.563E+01\,W \choice 8.319E+01\,W \end{choices} %%% end choices

\question Three resistors, R\textsubscript{1}\,=\,1.25\,\textOmega\, and R\textsubscript{2}\,=\,R\textsubscript{2}\,=\,2.82\,\textOmega\ , are connected in parallel to a 8.6\,V voltage source. Calculate the power dissipated by the smaller resistor (R\textsubscript{1}.) \begin{choices} %%%%%%% begin choices \choice 4.890E+01\,W \choice 5.379E+01\,W \CorrectChoice 5.917E+01\,W \choice 6.508E+01\,W \choice 7.159E+01\,W \end{choices} %%% end choices

\question Three resistors, R\textsubscript{1}\,=\,0.548\,\textOmega\, and R\textsubscript{2}\,=\,R\textsubscript{2}\,=\,1.24\,\textOmega\ , are connected in parallel to a 7.16\,V voltage source. Calculate the power dissipated by the smaller resistor (R\textsubscript{1}.) \begin{choices} %%%%%%% begin choices \choice 7.029E+01\,W \choice 7.731E+01\,W \choice 8.505E+01\,W \CorrectChoice 9.355E+01\,W \choice 1.029E+02\,W \end{choices} %%% end choices %\pagebreak %\end{choices}%?????????????? \end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 4

\begin{questions} %%%%%%% begin questions

\question \includegraphics[width=0.19\textwidth]{DC-circuit-3-resistors-1-voltage-source.png}In the circuit shown V=19.9\,V, R\textsubscript{1}=1.69\,\textOmega\, R\textsubscript{2}=7.02\,\textOmega\ , and R\textsubscript{3}=12.8\,\textOmega\. What is the power dissipated by R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \CorrectChoice 2.993E+01\,W \choice 3.293E+01\,W \choice 3.622E+01\,W \choice 3.984E+01\,W \choice 4.383E+01\,W \end{choices} %%% end choices

\question \includegraphics[width=0.19\textwidth]{DC-circuit-3-resistors-1-voltage-source.png}In the circuit shown V=11.9\,V, R\textsubscript{1}=2.75\,\textOmega\, R\textsubscript{2}=7.19\,\textOmega\ , and R\textsubscript{3}=14.6\,\textOmega\. What is the power dissipated by R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \CorrectChoice 7.982E+00\,W \choice 8.780E+00\,W \choice 9.658E+00\,W \choice 1.062E+01\,W \choice 1.169E+01\,W \end{choices} %%% end choices

\question \includegraphics[width=0.19\textwidth]{DC-circuit-3-resistors-1-voltage-source.png}In the circuit shown V=18.4\,V, R\textsubscript{1}=1.64\,\textOmega\, R\textsubscript{2}=6.56\,\textOmega\ , and R\textsubscript{3}=12.8\,\textOmega\. What is the power dissipated by R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 2.470E+01\,W \CorrectChoice 2.717E+01\,W \choice 2.989E+01\,W \choice 3.288E+01\,W \choice 3.617E+01\,W \end{choices} %%% end choices

\question \includegraphics[width=0.19\textwidth]{DC-circuit-3-resistors-1-voltage-source.png}In the circuit shown V=16.1\,V, R\textsubscript{1}=1.18\,\textOmega\, R\textsubscript{2}=5.28\,\textOmega\ , and R\textsubscript{3}=14.8\,\textOmega\. What is the power dissipated by R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 2.172E+01\,W \choice 2.389E+01\,W \choice 2.628E+01\,W \CorrectChoice 2.891E+01\,W \choice 3.180E+01\,W \end{choices} %%% end choices

\question \includegraphics[width=0.19\textwidth]{DC-circuit-3-resistors-1-voltage-source.png}In the circuit shown V=17.8\,V, R\textsubscript{1}=2.27\,\textOmega\, R\textsubscript{2}=6.79\,\textOmega\ , and R\textsubscript{3}=15.1\,\textOmega\. What is the power dissipated by R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 1.446E+01\,W \choice 1.591E+01\,W \choice 1.750E+01\,W \choice 1.925E+01\,W \CorrectChoice 2.117E+01\,W \end{choices} %%% end choices

\question \includegraphics[width=0.19\textwidth]{DC-circuit-3-resistors-1-voltage-source.png}In the circuit shown V=15.4\,V, R\textsubscript{1}=2.55\,\textOmega\, R\textsubscript{2}=5.12\,\textOmega\ , and R\textsubscript{3}=12.7\,\textOmega\. What is the power dissipated by R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 1.096E+01\,W \choice 1.206E+01\,W \choice 1.326E+01\,W \choice 1.459E+01\,W \CorrectChoice 1.605E+01\,W \end{choices} %%% end choices

\question \includegraphics[width=0.19\textwidth]{DC-circuit-3-resistors-1-voltage-source.png}In the circuit shown V=15.2\,V, R\textsubscript{1}=1.6\,\textOmega\, R\textsubscript{2}=7.89\,\textOmega\ , and R\textsubscript{3}=15.3\,\textOmega\. What is the power dissipated by R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \CorrectChoice 1.713E+01\,W \choice 1.885E+01\,W \choice 2.073E+01\,W \choice 2.280E+01\,W \choice 2.508E+01\,W \end{choices} %%% end choices

\question \includegraphics[width=0.19\textwidth]{DC-circuit-3-resistors-1-voltage-source.png}In the circuit shown V=15.8\,V, R\textsubscript{1}=1.86\,\textOmega\, R\textsubscript{2}=7.66\,\textOmega\ , and R\textsubscript{3}=12.9\,\textOmega\. What is the power dissipated by R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 1.157E+01\,W \choice 1.273E+01\,W \choice 1.400E+01\,W \choice 1.540E+01\,W \CorrectChoice 1.694E+01\,W \end{choices} %%% end choices

\question \includegraphics[width=0.19\textwidth]{DC-circuit-3-resistors-1-voltage-source.png}In the circuit shown V=19.6\,V, R\textsubscript{1}=1.45\,\textOmega\, R\textsubscript{2}=7.85\,\textOmega\ , and R\textsubscript{3}=15.8\,\textOmega\. What is the power dissipated by R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 2.730E+01\,W \CorrectChoice 3.003E+01\,W \choice 3.304E+01\,W \choice 3.634E+01\,W \choice 3.998E+01\,W \end{choices} %%% end choices

\question \includegraphics[width=0.19\textwidth]{DC-circuit-3-resistors-1-voltage-source.png}In the circuit shown V=16.2\,V, R\textsubscript{1}=2.84\,\textOmega\, R\textsubscript{2}=7.06\,\textOmega\ , and R\textsubscript{3}=13.1\,\textOmega\. What is the power dissipated by R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \CorrectChoice 1.418E+01\,W \choice 1.560E+01\,W \choice 1.716E+01\,W \choice 1.887E+01\,W \choice 2.076E+01\,W \end{choices} %%% end choices

\question \includegraphics[width=0.19\textwidth]{DC-circuit-3-resistors-1-voltage-source.png}In the circuit shown V=18.8\,V, R\textsubscript{1}=2.59\,\textOmega\, R\textsubscript{2}=5.47\,\textOmega\ , and R\textsubscript{3}=15.8\,\textOmega\. What is the power dissipated by R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 2.191E+01\,W \CorrectChoice 2.410E+01\,W \choice 2.651E+01\,W \choice 2.916E+01\,W \choice 3.208E+01\,W \end{choices} %%% end choices

\question \includegraphics[width=0.19\textwidth]{DC-circuit-3-resistors-1-voltage-source.png}In the circuit shown V=11.8\,V, R\textsubscript{1}=2.38\,\textOmega\, R\textsubscript{2}=5.11\,\textOmega\ , and R\textsubscript{3}=14.6\,\textOmega\. What is the power dissipated by R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 8.489E+00\,W \choice 9.338E+00\,W \CorrectChoice 1.027E+01\,W \choice 1.130E+01\,W \choice 1.243E+01\,W \end{choices} %%% end choices

\question \includegraphics[width=0.19\textwidth]{DC-circuit-3-resistors-1-voltage-source.png}In the circuit shown V=17.5\,V, R\textsubscript{1}=2.34\,\textOmega\, R\textsubscript{2}=7.1\,\textOmega\ , and R\textsubscript{3}=15.3\,\textOmega\. What is the power dissipated by R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 1.784E+01\,W \CorrectChoice 1.963E+01\,W \choice 2.159E+01\,W \choice 2.375E+01\,W \choice 2.612E+01\,W \end{choices} %%% end choices

\question \includegraphics[width=0.19\textwidth]{DC-circuit-3-resistors-1-voltage-source.png}In the circuit shown V=10.8\,V, R\textsubscript{1}=1.26\,\textOmega\, R\textsubscript{2}=5.65\,\textOmega\ , and R\textsubscript{3}=14.8\,\textOmega\. What is the power dissipated by R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 8.240E+00\,W \choice 9.064E+00\,W \choice 9.970E+00\,W \choice 1.097E+01\,W \CorrectChoice 1.206E+01\,W \end{choices} %%% end choices

\question \includegraphics[width=0.19\textwidth]{DC-circuit-3-resistors-1-voltage-source.png}In the circuit shown V=17.9\,V, R\textsubscript{1}=1.3\,\textOmega\, R\textsubscript{2}=5.1\,\textOmega\ , and R\textsubscript{3}=12.1\,\textOmega\. What is the power dissipated by R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 2.543E+01\,W \choice 2.798E+01\,W \choice 3.077E+01\,W \CorrectChoice 3.385E+01\,W \choice 3.724E+01\,W \end{choices} %%% end choices

\question \includegraphics[width=0.19\textwidth]{DC-circuit-3-resistors-1-voltage-source.png}In the circuit shown V=17.9\,V, R\textsubscript{1}=1.68\,\textOmega\, R\textsubscript{2}=7.84\,\textOmega\ , and R\textsubscript{3}=12.3\,\textOmega\. What is the power dissipated by R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \CorrectChoice 2.240E+01\,W \choice 2.464E+01\,W \choice 2.710E+01\,W \choice 2.981E+01\,W \choice 3.279E+01\,W \end{choices} %%% end choices

\question \includegraphics[width=0.19\textwidth]{DC-circuit-3-resistors-1-voltage-source.png}In the circuit shown V=13.5\,V, R\textsubscript{1}=2.66\,\textOmega\, R\textsubscript{2}=7.29\,\textOmega\ , and R\textsubscript{3}=14.5\,\textOmega\. What is the power dissipated by R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 7.123E+00\,W \choice 7.835E+00\,W \choice 8.618E+00\,W \choice 9.480E+00\,W \CorrectChoice 1.043E+01\,W \end{choices} %%% end choices

\question \includegraphics[width=0.19\textwidth]{DC-circuit-3-resistors-1-voltage-source.png}In the circuit shown V=10.9\,V, R\textsubscript{1}=1.68\,\textOmega\, R\textsubscript{2}=7.52\,\textOmega\ , and R\textsubscript{3}=12.8\,\textOmega\. What is the power dissipated by R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 7.827E+00\,W \CorrectChoice 8.610E+00\,W \choice 9.470E+00\,W \choice 1.042E+01\,W \choice 1.146E+01\,W \end{choices} %%% end choices

\question \includegraphics[width=0.19\textwidth]{DC-circuit-3-resistors-1-voltage-source.png}In the circuit shown V=15.4\,V, R\textsubscript{1}=2.77\,\textOmega\, R\textsubscript{2}=6.07\,\textOmega\ , and R\textsubscript{3}=14.5\,\textOmega\. What is the power dissipated by R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 1.190E+01\,W \choice 1.309E+01\,W \CorrectChoice 1.440E+01\,W \choice 1.584E+01\,W \choice 1.742E+01\,W \end{choices} %%% end choices %\pagebreak %\end{choices}%?????????????? \end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 5

\begin{questions} %%%%%%% begin questions

\question \includegraphics[width=0.2\textwidth]{KirchhoffLaws-simple.png}The resistances in the figure shown are R\textsubscript{1}= 1.35\,\textOmega\, R\textsubscript{2}= 1.52\,\textOmega\ , and R\textsubscript{2}= 2.45\,\textOmega\. V\textsubscript{1} and V\textsubscript{3} are text 0.419\,V and 2.37\,V, respectively. But V\textsubscript{2} is opposite to that shown in the figure, or, equivalently, V\textsubscript{2}=\(-\)0.511\,V. What is the absolute value of the current through R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 8.841E-02\,A \CorrectChoice 9.725E-02\,A \choice 1.070E-01\,A \choice 1.177E-01\,A \choice 1.294E-01\,A \end{choices} %%% end choices

\question \includegraphics[width=0.2\textwidth]{KirchhoffLaws-simple.png}The resistances in the figure shown are R\textsubscript{1}= 2.41\,\textOmega\, R\textsubscript{2}= 1.74\,\textOmega\ , and R\textsubscript{2}= 3.35\,\textOmega\. V\textsubscript{1} and V\textsubscript{3} are text 0.508\,V and 1.36\,V, respectively. But V\textsubscript{2} is opposite to that shown in the figure, or, equivalently, V\textsubscript{2}=\(-\)0.595\,V. What is the absolute value of the current through R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 1.203E-01\,A \choice 1.324E-01\,A \CorrectChoice 1.456E-01\,A \choice 1.602E-01\,A \choice 1.762E-01\,A \end{choices} %%% end choices

\question \includegraphics[width=0.2\textwidth]{KirchhoffLaws-simple.png}The resistances in the figure shown are R\textsubscript{1}= 2.04\,\textOmega\, R\textsubscript{2}= 1.19\,\textOmega\ , and R\textsubscript{2}= 2.5\,\textOmega\. V\textsubscript{1} and V\textsubscript{3} are text 0.507\,V and 3.07\,V, respectively. But V\textsubscript{2} is opposite to that shown in the figure, or, equivalently, V\textsubscript{2}=\(-\)0.602\,V. What is the absolute value of the current through R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \CorrectChoice 1.401E-01\,A \choice 1.542E-01\,A \choice 1.696E-01\,A \choice 1.865E-01\,A \choice 2.052E-01\,A \end{choices} %%% end choices

\question \includegraphics[width=0.2\textwidth]{KirchhoffLaws-simple.png}The resistances in the figure shown are R\textsubscript{1}= 2.38\,\textOmega\, R\textsubscript{2}= 1.87\,\textOmega\ , and R\textsubscript{2}= 2.32\,\textOmega\. V\textsubscript{1} and V\textsubscript{3} are text 0.605\,V and 3.8\,V, respectively. But V\textsubscript{2} is opposite to that shown in the figure, or, equivalently, V\textsubscript{2}=\(-\)0.67\,V. What is the absolute value of the current through R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 8.147E-02\,A \choice 8.962E-02\,A \choice 9.858E-02\,A \CorrectChoice 1.084E-01\,A \choice 1.193E-01\,A \end{choices} %%% end choices

\question \includegraphics[width=0.2\textwidth]{KirchhoffLaws-simple.png}The resistances in the figure shown are R\textsubscript{1}= 1.1\,\textOmega\, R\textsubscript{2}= 1.55\,\textOmega\ , and R\textsubscript{2}= 2.11\,\textOmega\. V\textsubscript{1} and V\textsubscript{3} are text 0.545\,V and 3.22\,V, respectively. But V\textsubscript{2} is opposite to that shown in the figure, or, equivalently, V\textsubscript{2}=\(-\)0.744\,V. What is the absolute value of the current through R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 1.886E-01\,A \CorrectChoice 2.075E-01\,A \choice 2.282E-01\,A \choice 2.510E-01\,A \choice 2.761E-01\,A \end{choices} %%% end choices

\question \includegraphics[width=0.2\textwidth]{KirchhoffLaws-simple.png}The resistances in the figure shown are R\textsubscript{1}= 1.54\,\textOmega\, R\textsubscript{2}= 0.927\,\textOmega\ , and R\textsubscript{2}= 2.46\,\textOmega\. V\textsubscript{1} and V\textsubscript{3} are text 0.632\,V and 2.12\,V, respectively. But V\textsubscript{2} is opposite to that shown in the figure, or, equivalently, V\textsubscript{2}=\(-\)0.586\,V. What is the absolute value of the current through R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 1.770E-01\,A \choice 1.947E-01\,A \CorrectChoice 2.141E-01\,A \choice 2.355E-01\,A \choice 2.591E-01\,A \end{choices} %%% end choices

\question \includegraphics[width=0.2\textwidth]{KirchhoffLaws-simple.png}The resistances in the figure shown are R\textsubscript{1}= 1.18\,\textOmega\, R\textsubscript{2}= 0.878\,\textOmega\ , and R\textsubscript{2}= 2.11\,\textOmega\. V\textsubscript{1} and V\textsubscript{3} are text 0.637\,V and 3.51\,V, respectively. But V\textsubscript{2} is opposite to that shown in the figure, or, equivalently, V\textsubscript{2}=\(-\)0.547\,V. What is the absolute value of the current through R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 1.701E-01\,A \CorrectChoice 1.871E-01\,A \choice 2.058E-01\,A \choice 2.264E-01\,A \choice 2.490E-01\,A \end{choices} %%% end choices

\question \includegraphics[width=0.2\textwidth]{KirchhoffLaws-simple.png}The resistances in the figure shown are R\textsubscript{1}= 1.6\,\textOmega\, R\textsubscript{2}= 1.3\,\textOmega\ , and R\textsubscript{2}= 2.22\,\textOmega\. V\textsubscript{1} and V\textsubscript{3} are text 0.55\,V and 3.18\,V, respectively. But V\textsubscript{2} is opposite to that shown in the figure, or, equivalently, V\textsubscript{2}=\(-\)0.743\,V. What is the absolute value of the current through R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \CorrectChoice 1.721E-01\,A \choice 1.893E-01\,A \choice 2.082E-01\,A \choice 2.291E-01\,A \choice 2.520E-01\,A \end{choices} %%% end choices

\question \includegraphics[width=0.2\textwidth]{KirchhoffLaws-simple.png}The resistances in the figure shown are R\textsubscript{1}= 2.42\,\textOmega\, R\textsubscript{2}= 1.09\,\textOmega\ , and R\textsubscript{2}= 3.89\,\textOmega\. V\textsubscript{1} and V\textsubscript{3} are text 0.677\,V and 1.86\,V, respectively. But V\textsubscript{2} is opposite to that shown in the figure, or, equivalently, V\textsubscript{2}=\(-\)0.745\,V. What is the absolute value of the current through R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 2.089E-01\,A \choice 2.298E-01\,A \CorrectChoice 2.528E-01\,A \choice 2.781E-01\,A \choice 3.059E-01\,A \end{choices} %%% end choices

\question \includegraphics[width=0.2\textwidth]{KirchhoffLaws-simple.png}The resistances in the figure shown are R\textsubscript{1}= 1.81\,\textOmega\, R\textsubscript{2}= 1.18\,\textOmega\ , and R\textsubscript{2}= 2.62\,\textOmega\. V\textsubscript{1} and V\textsubscript{3} are text 0.628\,V and 2.54\,V, respectively. But V\textsubscript{2} is opposite to that shown in the figure, or, equivalently, V\textsubscript{2}=\(-\)0.748\,V. What is the absolute value of the current through R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 1.552E-01\,A \choice 1.707E-01\,A \choice 1.878E-01\,A \choice 2.065E-01\,A \CorrectChoice 2.272E-01\,A \end{choices} %%% end choices

\question \includegraphics[width=0.2\textwidth]{KirchhoffLaws-simple.png}The resistances in the figure shown are R\textsubscript{1}= 2.34\,\textOmega\, R\textsubscript{2}= 1.34\,\textOmega\ , and R\textsubscript{2}= 2.94\,\textOmega\. V\textsubscript{1} and V\textsubscript{3} are text 0.609\,V and 1.68\,V, respectively. But V\textsubscript{2} is opposite to that shown in the figure, or, equivalently, V\textsubscript{2}=\(-\)0.541\,V. What is the absolute value of the current through R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 1.464E-01\,A \CorrectChoice 1.610E-01\,A \choice 1.772E-01\,A \choice 1.949E-01\,A \choice 2.144E-01\,A \end{choices} %%% end choices

\question \includegraphics[width=0.2\textwidth]{KirchhoffLaws-simple.png}The resistances in the figure shown are R\textsubscript{1}= 2.49\,\textOmega\, R\textsubscript{2}= 1.72\,\textOmega\ , and R\textsubscript{2}= 3.58\,\textOmega\. V\textsubscript{1} and V\textsubscript{3} are text 0.417\,V and 1.83\,V, respectively. But V\textsubscript{2} is opposite to that shown in the figure, or, equivalently, V\textsubscript{2}=\(-\)0.53\,V. What is the absolute value of the current through R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 8.220E-02\,A \choice 9.042E-02\,A \choice 9.946E-02\,A \CorrectChoice 1.094E-01\,A \choice 1.203E-01\,A \end{choices} %%% end choices

\question \includegraphics[width=0.2\textwidth]{KirchhoffLaws-simple.png}The resistances in the figure shown are R\textsubscript{1}= 2.67\,\textOmega\, R\textsubscript{2}= 1.78\,\textOmega\ , and R\textsubscript{2}= 3.63\,\textOmega\. V\textsubscript{1} and V\textsubscript{3} are text 0.448\,V and 2.29\,V, respectively. But V\textsubscript{2} is opposite to that shown in the figure, or, equivalently, V\textsubscript{2}=\(-\)0.656\,V. What is the absolute value of the current through R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 9.287E-02\,A \choice 1.022E-01\,A \choice 1.124E-01\,A \CorrectChoice 1.236E-01\,A \choice 1.360E-01\,A \end{choices} %%% end choices

\question \includegraphics[width=0.2\textwidth]{KirchhoffLaws-simple.png}The resistances in the figure shown are R\textsubscript{1}= 2.73\,\textOmega\, R\textsubscript{2}= 1.4\,\textOmega\ , and R\textsubscript{2}= 2.35\,\textOmega\. V\textsubscript{1} and V\textsubscript{3} are text 0.549\,V and 1.27\,V, respectively. But V\textsubscript{2} is opposite to that shown in the figure, or, equivalently, V\textsubscript{2}=\(-\)0.584\,V. What is the absolute value of the current through R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 1.213E-01\,A \choice 1.334E-01\,A \choice 1.468E-01\,A \CorrectChoice 1.614E-01\,A \choice 1.776E-01\,A \end{choices} %%% end choices

\question \includegraphics[width=0.2\textwidth]{KirchhoffLaws-simple.png}The resistances in the figure shown are R\textsubscript{1}= 1.57\,\textOmega\, R\textsubscript{2}= 1.25\,\textOmega\ , and R\textsubscript{2}= 3.38\,\textOmega\. V\textsubscript{1} and V\textsubscript{3} are text 0.585\,V and 2.91\,V, respectively. But V\textsubscript{2} is opposite to that shown in the figure, or, equivalently, V\textsubscript{2}=\(-\)0.55\,V. What is the absolute value of the current through R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 1.427E-01\,A \choice 1.569E-01\,A \CorrectChoice 1.726E-01\,A \choice 1.899E-01\,A \choice 2.089E-01\,A \end{choices} %%% end choices

\question \includegraphics[width=0.2\textwidth]{KirchhoffLaws-simple.png}The resistances in the figure shown are R\textsubscript{1}= 1.33\,\textOmega\, R\textsubscript{2}= 1.72\,\textOmega\ , and R\textsubscript{2}= 3.69\,\textOmega\. V\textsubscript{1} and V\textsubscript{3} are text 0.606\,V and 3.31\,V, respectively. But V\textsubscript{2} is opposite to that shown in the figure, or, equivalently, V\textsubscript{2}=\(-\)0.608\,V. What is the absolute value of the current through R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 1.137E-01\,A \choice 1.251E-01\,A \choice 1.376E-01\,A \CorrectChoice 1.514E-01\,A \choice 1.665E-01\,A \end{choices} %%% end choices

\question \includegraphics[width=0.2\textwidth]{KirchhoffLaws-simple.png}The resistances in the figure shown are R\textsubscript{1}= 2.74\,\textOmega\, R\textsubscript{2}= 1.63\,\textOmega\ , and R\textsubscript{2}= 2.75\,\textOmega\. V\textsubscript{1} and V\textsubscript{3} are text 0.485\,V and 2.01\,V, respectively. But V\textsubscript{2} is opposite to that shown in the figure, or, equivalently, V\textsubscript{2}=\(-\)0.555\,V. What is the absolute value of the current through R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 1.114E-01\,A \CorrectChoice 1.225E-01\,A \choice 1.348E-01\,A \choice 1.483E-01\,A \choice 1.631E-01\,A \end{choices} %%% end choices

\question \includegraphics[width=0.2\textwidth]{KirchhoffLaws-simple.png}The resistances in the figure shown are R\textsubscript{1}= 2.54\,\textOmega\, R\textsubscript{2}= 1.15\,\textOmega\ , and R\textsubscript{2}= 2.9\,\textOmega\. V\textsubscript{1} and V\textsubscript{3} are text 0.446\,V and 3.39\,V, respectively. But V\textsubscript{2} is opposite to that shown in the figure, or, equivalently, V\textsubscript{2}=\(-\)0.744\,V. What is the absolute value of the current through R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \CorrectChoice 1.285E-01\,A \choice 1.414E-01\,A \choice 1.555E-01\,A \choice 1.711E-01\,A \choice 1.882E-01\,A \end{choices} %%% end choices

\question \includegraphics[width=0.2\textwidth]{KirchhoffLaws-simple.png}The resistances in the figure shown are R\textsubscript{1}= 2.24\,\textOmega\, R\textsubscript{2}= 1.03\,\textOmega\ , and R\textsubscript{2}= 2.39\,\textOmega\. V\textsubscript{1} and V\textsubscript{3} are text 0.595\,V and 2.58\,V, respectively. But V\textsubscript{2} is opposite to that shown in the figure, or, equivalently, V\textsubscript{2}=\(-\)0.707\,V. What is the absolute value of the current through R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 1.834E-01\,A \CorrectChoice 2.018E-01\,A \choice 2.220E-01\,A \choice 2.441E-01\,A \choice 2.686E-01\,A \end{choices} %%% end choices %\pagebreak %\end{choices}%?????????????? \end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 6

\begin{questions} %%%%%%% begin questions

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=52.2\,V, and \textepsilon\textsubscript{2}=15.4\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=4.89\,k\textOmega\ and  R\textsubscript{2}=2.76\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=2.99\,mA and I\textsubscript{4}=0.693\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of I\textsubscript{5}? \begin{choices} %%%%%%% begin choices \choice 1.726E+00\,mA \choice 1.898E+00\,mA \choice 2.088E+00\,mA \CorrectChoice 2.297E+00\,mA \choice 2.527E+00\,mA \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=40.3\,V, and \textepsilon\textsubscript{2}=16.8\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=2.57\,k\textOmega\ and  R\textsubscript{2}=2.25\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=2.96\,mA and I\textsubscript{4}=0.752\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of I\textsubscript{5}? \begin{choices} %%%%%%% begin choices \choice 1.825E+00\,mA \choice 2.007E+00\,mA \CorrectChoice 2.208E+00\,mA \choice 2.429E+00\,mA \choice 2.672E+00\,mA \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=44.4\,V, and \textepsilon\textsubscript{2}=16.8\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=4.58\,k\textOmega\ and  R\textsubscript{2}=1.2\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=8.43\,mA and I\textsubscript{4}=1.46\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of I\textsubscript{5}? \begin{choices} %%%%%%% begin choices \CorrectChoice 6.970E+00\,mA \choice 7.667E+00\,mA \choice 8.434E+00\,mA \choice 9.277E+00\,mA \choice 1.020E+01\,mA \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=24.9\,V, and \textepsilon\textsubscript{2}=10.1\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=2.32\,k\textOmega\ and  R\textsubscript{2}=2.31\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=2.74\,mA and I\textsubscript{4}=0.444\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of I\textsubscript{5}? \begin{choices} %%%%%%% begin choices \choice 1.725E+00\,mA \choice 1.898E+00\,mA \choice 2.087E+00\,mA \CorrectChoice 2.296E+00\,mA \choice 2.526E+00\,mA \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=43.7\,V, and \textepsilon\textsubscript{2}=13.1\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=5.21\,k\textOmega\ and  R\textsubscript{2}=1.72\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=3.86\,mA and I\textsubscript{4}=0.9\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of I\textsubscript{5}? \begin{choices} %%%%%%% begin choices \choice 2.691E+00\,mA \CorrectChoice 2.960E+00\,mA \choice 3.256E+00\,mA \choice 3.582E+00\,mA \choice 3.940E+00\,mA \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=31.0\,V, and \textepsilon\textsubscript{2}=10.0\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=4.22\,k\textOmega\ and  R\textsubscript{2}=1.37\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=3.32\,mA and I\textsubscript{4}=1.03\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of I\textsubscript{5}? \begin{choices} %%%%%%% begin choices \CorrectChoice 2.290E+00\,mA \choice 2.519E+00\,mA \choice 2.771E+00\,mA \choice 3.048E+00\,mA \choice 3.353E+00\,mA \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=20.6\,V, and \textepsilon\textsubscript{2}=9.53\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=5.46\,k\textOmega\ and  R\textsubscript{2}=2.55\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=1.5\,mA and I\textsubscript{4}=0.415\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of I\textsubscript{5}? \begin{choices} %%%%%%% begin choices \CorrectChoice 1.085E+00\,mA \choice 1.194E+00\,mA \choice 1.313E+00\,mA \choice 1.444E+00\,mA \choice 1.589E+00\,mA \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=29.5\,V, and \textepsilon\textsubscript{2}=11.0\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=2.45\,k\textOmega\ and  R\textsubscript{2}=1.96\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=3.03\,mA and I\textsubscript{4}=0.783\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of I\textsubscript{5}? \begin{choices} %%%%%%% begin choices \CorrectChoice 2.247E+00\,mA \choice 2.472E+00\,mA \choice 2.719E+00\,mA \choice 2.991E+00\,mA \choice 3.290E+00\,mA \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=38.9\,V, and \textepsilon\textsubscript{2}=15.7\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=2.24\,k\textOmega\ and  R\textsubscript{2}=2.23\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=3.01\,mA and I\textsubscript{4}=0.86\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of I\textsubscript{5}? \begin{choices} %%%%%%% begin choices \choice 1.955E+00\,mA \CorrectChoice 2.150E+00\,mA \choice 2.365E+00\,mA \choice 2.601E+00\,mA \choice 2.862E+00\,mA \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=36.3\,V, and \textepsilon\textsubscript{2}=12.9\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=4.28\,k\textOmega\ and  R\textsubscript{2}=1.58\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=4.16\,mA and I\textsubscript{4}=1.2\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of I\textsubscript{5}? \begin{choices} %%%%%%% begin choices \choice 2.224E+00\,mA \choice 2.446E+00\,mA \choice 2.691E+00\,mA \CorrectChoice 2.960E+00\,mA \choice 3.256E+00\,mA \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=30.5\,V, and \textepsilon\textsubscript{2}=12.0\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=3.79\,k\textOmega\ and  R\textsubscript{2}=1.86\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=4.07\,mA and I\textsubscript{4}=0.73\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of I\textsubscript{5}? \begin{choices} %%%%%%% begin choices \choice 2.281E+00\,mA \choice 2.509E+00\,mA \choice 2.760E+00\,mA \choice 3.036E+00\,mA \CorrectChoice 3.340E+00\,mA \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=40.6\,V, and \textepsilon\textsubscript{2}=13.5\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=4.35\,k\textOmega\ and  R\textsubscript{2}=2.44\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=2.73\,mA and I\textsubscript{4}=0.78\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of I\textsubscript{5}? \begin{choices} %%%%%%% begin choices \choice 1.332E+00\,mA \choice 1.465E+00\,mA \choice 1.612E+00\,mA \choice 1.773E+00\,mA \CorrectChoice 1.950E+00\,mA \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=13.6\,V, and \textepsilon\textsubscript{2}=6.53\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=2.89\,k\textOmega\ and  R\textsubscript{2}=2.12\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=1.11\,mA and I\textsubscript{4}=0.311\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of I\textsubscript{5}? \begin{choices} %%%%%%% begin choices \choice 7.264E-01\,mA \CorrectChoice 7.990E-01\,mA \choice 8.789E-01\,mA \choice 9.668E-01\,mA \choice 1.063E+00\,mA \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=18.2\,V, and \textepsilon\textsubscript{2}=6.59\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=5.47\,k\textOmega\ and  R\textsubscript{2}=2.81\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=1.64\,mA and I\textsubscript{4}=0.341\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of I\textsubscript{5}? \begin{choices} %%%%%%% begin choices \CorrectChoice 1.299E+00\,mA \choice 1.429E+00\,mA \choice 1.572E+00\,mA \choice 1.729E+00\,mA \choice 1.902E+00\,mA \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=29.3\,V, and \textepsilon\textsubscript{2}=11.0\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=5.65\,k\textOmega\ and  R\textsubscript{2}=2.68\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=2.81\,mA and I\textsubscript{4}=0.525\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of I\textsubscript{5}? \begin{choices} %%%%%%% begin choices \choice 1.717E+00\,mA \choice 1.888E+00\,mA \choice 2.077E+00\,mA \CorrectChoice 2.285E+00\,mA \choice 2.514E+00\,mA \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=49.6\,V, and \textepsilon\textsubscript{2}=19.3\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=4.87\,k\textOmega\ and  R\textsubscript{2}=2.81\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=4.37\,mA and I\textsubscript{4}=1.01\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of I\textsubscript{5}? \begin{choices} %%%%%%% begin choices \choice 3.055E+00\,mA \CorrectChoice 3.360E+00\,mA \choice 3.696E+00\,mA \choice 4.066E+00\,mA \choice 4.472E+00\,mA \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=43.0\,V, and \textepsilon\textsubscript{2}=13.8\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=3.97\,k\textOmega\ and  R\textsubscript{2}=1.12\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=6.25\,mA and I\textsubscript{4}=1.82\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of I\textsubscript{5}? \begin{choices} %%%%%%% begin choices \choice 3.661E+00\,mA \choice 4.027E+00\,mA \CorrectChoice 4.430E+00\,mA \choice 4.873E+00\,mA \choice 5.360E+00\,mA \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=24.8\,V, and \textepsilon\textsubscript{2}=10.3\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=2.19\,k\textOmega\ and  R\textsubscript{2}=1.6\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=2.49\,mA and I\textsubscript{4}=0.83\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of I\textsubscript{5}? \begin{choices} %%%%%%% begin choices \CorrectChoice 1.660E+00\,mA \choice 1.826E+00\,mA \choice 2.009E+00\,mA \choice 2.209E+00\,mA \choice 2.430E+00\,mA \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=39.0\,V, and \textepsilon\textsubscript{2}=15.9\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=3.4\,k\textOmega\ and  R\textsubscript{2}=2.12\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=3.58\,mA and I\textsubscript{4}=0.978\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of I\textsubscript{5}? \begin{choices} %%%%%%% begin choices \choice 2.150E+00\,mA \choice 2.365E+00\,mA \CorrectChoice 2.602E+00\,mA \choice 2.862E+00\,mA \choice 3.148E+00\,mA \end{choices} %%% end choices %\pagebreak %\end{choices}%?????????????? \end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 7

\begin{questions} %%%%%%% begin questions

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=57.8\,V, and \textepsilon\textsubscript{2}=18.5\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=2.53\,k\textOmega\ and  R\textsubscript{2}=1.8\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=7.15\,mA and I\textsubscript{4}=1.27\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 1.276E+01\,V \choice 1.404E+01\,V \CorrectChoice 1.544E+01\,V \choice 1.699E+01\,V \choice 1.869E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=38.9\,V, and \textepsilon\textsubscript{2}=16.9\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=3.3\,k\textOmega\ and  R\textsubscript{2}=2.51\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=3.34\,mA and I\textsubscript{4}=0.955\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 7.031E+00\,V \CorrectChoice 7.734E+00\,V \choice 8.507E+00\,V \choice 9.358E+00\,V \choice 1.029E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=26.2\,V, and \textepsilon\textsubscript{2}=11.5\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=2.13\,k\textOmega\ and  R\textsubscript{2}=1.72\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=3.11\,mA and I\textsubscript{4}=0.746\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 4.275E+00\,V \choice 4.703E+00\,V \CorrectChoice 5.173E+00\,V \choice 5.691E+00\,V \choice 6.260E+00\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=28.6\,V, and \textepsilon\textsubscript{2}=11.1\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=3.73\,k\textOmega\ and  R\textsubscript{2}=1.95\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=3.27\,mA and I\textsubscript{4}=0.774\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 6.641E+00\,V \CorrectChoice 7.305E+00\,V \choice 8.035E+00\,V \choice 8.839E+00\,V \choice 9.723E+00\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=52.7\,V, and \textepsilon\textsubscript{2}=17.5\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=5.86\,k\textOmega\ and  R\textsubscript{2}=2.08\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=3.48\,mA and I\textsubscript{4}=0.988\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \CorrectChoice 2.064E+01\,V \choice 2.270E+01\,V \choice 2.497E+01\,V \choice 2.747E+01\,V \choice 3.021E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=16.8\,V, and \textepsilon\textsubscript{2}=7.15\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=3.12\,k\textOmega\ and  R\textsubscript{2}=1.51\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=1.95\,mA and I\textsubscript{4}=0.603\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 4.108E+00\,V \CorrectChoice 4.519E+00\,V \choice 4.970E+00\,V \choice 5.468E+00\,V \choice 6.014E+00\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=26.2\,V, and \textepsilon\textsubscript{2}=8.29\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=3.43\,k\textOmega\ and  R\textsubscript{2}=1.16\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=4.09\,mA and I\textsubscript{4}=1.06\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 6.720E+00\,V \choice 7.392E+00\,V \choice 8.131E+00\,V \choice 8.944E+00\,V \CorrectChoice 9.838E+00\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=35.5\,V, and \textepsilon\textsubscript{2}=12.3\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=4.49\,k\textOmega\ and  R\textsubscript{2}=1.53\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=4.63\,mA and I\textsubscript{4}=0.972\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 1.093E+01\,V \CorrectChoice 1.202E+01\,V \choice 1.322E+01\,V \choice 1.454E+01\,V \choice 1.600E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=49.8\,V, and \textepsilon\textsubscript{2}=18.1\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=2.78\,k\textOmega\ and  R\textsubscript{2}=2.63\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=3.51\,mA and I\textsubscript{4}=0.969\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 7.886E+00\,V \choice 8.675E+00\,V \choice 9.542E+00\,V \choice 1.050E+01\,V \CorrectChoice 1.155E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=38.8\,V, and \textepsilon\textsubscript{2}=14.9\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=5.83\,k\textOmega\ and  R\textsubscript{2}=1.77\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=3.57\,mA and I\textsubscript{4}=1.19\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 1.013E+01\,V \choice 1.115E+01\,V \choice 1.226E+01\,V \CorrectChoice 1.349E+01\,V \choice 1.484E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=30.6\,V, and \textepsilon\textsubscript{2}=12.0\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=3.46\,k\textOmega\ and  R\textsubscript{2}=2.77\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=1.97\,mA and I\textsubscript{4}=0.643\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 4.986E+00\,V \choice 5.484E+00\,V \choice 6.033E+00\,V \choice 6.636E+00\,V \CorrectChoice 7.299E+00\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=39.2\,V, and \textepsilon\textsubscript{2}=12.6\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=3.86\,k\textOmega\ and  R\textsubscript{2}=1.89\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=4.05\,mA and I\textsubscript{4}=0.701\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 8.687E+00\,V \choice 9.555E+00\,V \choice 1.051E+01\,V \choice 1.156E+01\,V \CorrectChoice 1.272E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=57.0\,V, and \textepsilon\textsubscript{2}=18.1\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=4.95\,k\textOmega\ and  R\textsubscript{2}=2.09\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=4.23\,mA and I\textsubscript{4}=1.04\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 1.921E+01\,V \CorrectChoice 2.114E+01\,V \choice 2.325E+01\,V \choice 2.557E+01\,V \choice 2.813E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=38.9\,V, and \textepsilon\textsubscript{2}=14.4\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=4.33\,k\textOmega\ and  R\textsubscript{2}=1.65\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=5.59\,mA and I\textsubscript{4}=1.07\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 9.142E+00\,V \choice 1.006E+01\,V \CorrectChoice 1.106E+01\,V \choice 1.217E+01\,V \choice 1.338E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=30.3\,V, and \textepsilon\textsubscript{2}=8.6\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=3.81\,k\textOmega\ and  R\textsubscript{2}=2.39\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=2.38\,mA and I\textsubscript{4}=0.416\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 8.945E+00\,V \CorrectChoice 9.840E+00\,V \choice 1.082E+01\,V \choice 1.191E+01\,V \choice 1.310E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=21.0\,V, and \textepsilon\textsubscript{2}=8.72\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=3.12\,k\textOmega\ and  R\textsubscript{2}=1.15\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=4.41\,mA and I\textsubscript{4}=0.816\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \CorrectChoice 5.267E+00\,V \choice 5.794E+00\,V \choice 6.373E+00\,V \choice 7.011E+00\,V \choice 7.712E+00\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=27.1\,V, and \textepsilon\textsubscript{2}=8.04\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=2.94\,k\textOmega\ and  R\textsubscript{2}=1.61\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=2.87\,mA and I\textsubscript{4}=0.57\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 8.482E+00\,V \CorrectChoice 9.330E+00\,V \choice 1.026E+01\,V \choice 1.129E+01\,V \choice 1.242E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=16.8\,V, and \textepsilon\textsubscript{2}=6.85\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=4.43\,k\textOmega\ and  R\textsubscript{2}=1.24\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=2.68\,mA and I\textsubscript{4}=0.758\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 3.890E+00\,V \choice 4.279E+00\,V \choice 4.707E+00\,V \CorrectChoice 5.178E+00\,V \choice 5.695E+00\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=26.8\,V, and \textepsilon\textsubscript{2}=10.1\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=2.2\,k\textOmega\ and  R\textsubscript{2}=2.55\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=2.29\,mA and I\textsubscript{4}=0.464\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{1}? \begin{choices} %%%%%%% begin choices \choice 3.436E+00\,V \choice 3.779E+00\,V \choice 4.157E+00\,V \choice 4.573E+00\,V \CorrectChoice 5.030E+00\,V \end{choices} %%% end choices %\pagebreak %\end{choices}%?????????????? \end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 8

\begin{questions} %%%%%%% begin questions

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=60.7\,V, and \textepsilon\textsubscript{2}=16.7\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=4.72\,k\textOmega\ and  R\textsubscript{2}=2.33\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=4.65\,mA and I\textsubscript{4}=0.946\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 1.981E+01\,V \CorrectChoice 2.180E+01\,V \choice 2.398E+01\,V \choice 2.637E+01\,V \choice 2.901E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=36.7\,V, and \textepsilon\textsubscript{2}=12.1\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=2.52\,k\textOmega\ and  R\textsubscript{2}=1.22\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=4.14\,mA and I\textsubscript{4}=1.19\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 7.805E+00\,V \choice 8.586E+00\,V \choice 9.444E+00\,V \choice 1.039E+01\,V \CorrectChoice 1.143E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=21.6\,V, and \textepsilon\textsubscript{2}=8.59\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=4.97\,k\textOmega\ and  R\textsubscript{2}=1.69\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=3.2\,mA and I\textsubscript{4}=0.749\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 6.064E+00\,V \choice 6.670E+00\,V \CorrectChoice 7.337E+00\,V \choice 8.071E+00\,V \choice 8.878E+00\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=14.3\,V, and \textepsilon\textsubscript{2}=5.6\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=5.31\,k\textOmega\ and  R\textsubscript{2}=2.39\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=1.12\,mA and I\textsubscript{4}=0.284\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 3.416E+00\,V \choice 3.757E+00\,V \choice 4.133E+00\,V \CorrectChoice 4.546E+00\,V \choice 5.001E+00\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=58.5\,V, and \textepsilon\textsubscript{2}=17.3\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=3.06\,k\textOmega\ and  R\textsubscript{2}=1.88\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=5.25\,mA and I\textsubscript{4}=1.25\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 1.981E+01\,V \CorrectChoice 2.179E+01\,V \choice 2.397E+01\,V \choice 2.637E+01\,V \choice 2.901E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=18.6\,V, and \textepsilon\textsubscript{2}=5.63\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=3.9\,k\textOmega\ and  R\textsubscript{2}=1.1\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=3.41\,mA and I\textsubscript{4}=0.614\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 4.342E+00\,V \choice 4.776E+00\,V \choice 5.254E+00\,V \CorrectChoice 5.779E+00\,V \choice 6.357E+00\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=42.2\,V, and \textepsilon\textsubscript{2}=17.8\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=4.2\,k\textOmega\ and  R\textsubscript{2}=2.83\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=2.5\,mA and I\textsubscript{4}=0.749\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 1.056E+01\,V \choice 1.161E+01\,V \choice 1.277E+01\,V \CorrectChoice 1.405E+01\,V \choice 1.545E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=40.9\,V, and \textepsilon\textsubscript{2}=16.1\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=5.55\,k\textOmega\ and  R\textsubscript{2}=1.55\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=6.11\,mA and I\textsubscript{4}=1.06\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 8.754E+00\,V \choice 9.630E+00\,V \choice 1.059E+01\,V \choice 1.165E+01\,V \CorrectChoice 1.282E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=27.9\,V, and \textepsilon\textsubscript{2}=11.1\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=2.82\,k\textOmega\ and  R\textsubscript{2}=2.25\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=2.1\,mA and I\textsubscript{4}=0.676\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 8.334E+00\,V \choice 9.167E+00\,V \CorrectChoice 1.008E+01\,V \choice 1.109E+01\,V \choice 1.220E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=39.4\,V, and \textepsilon\textsubscript{2}=12.2\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=3.84\,k\textOmega\ and  R\textsubscript{2}=2.01\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=2.71\,mA and I\textsubscript{4}=0.669\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 8.825E+00\,V \choice 9.708E+00\,V \choice 1.068E+01\,V \choice 1.175E+01\,V \CorrectChoice 1.292E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=46.1\,V, and \textepsilon\textsubscript{2}=16.2\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=5.17\,k\textOmega\ and  R\textsubscript{2}=2.06\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=4.97\,mA and I\textsubscript{4}=1.07\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 1.309E+01\,V \choice 1.440E+01\,V \CorrectChoice 1.584E+01\,V \choice 1.742E+01\,V \choice 1.917E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=45.3\,V, and \textepsilon\textsubscript{2}=13.3\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=3.82\,k\textOmega\ and  R\textsubscript{2}=1.5\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=6.17\,mA and I\textsubscript{4}=1.11\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 1.177E+01\,V \choice 1.295E+01\,V \choice 1.424E+01\,V \CorrectChoice 1.567E+01\,V \choice 1.723E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=36.7\,V, and \textepsilon\textsubscript{2}=13.6\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=2.86\,k\textOmega\ and  R\textsubscript{2}=2.2\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=3.02\,mA and I\textsubscript{4}=0.854\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \CorrectChoice 1.380E+01\,V \choice 1.518E+01\,V \choice 1.670E+01\,V \choice 1.837E+01\,V \choice 2.020E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=67.2\,V, and \textepsilon\textsubscript{2}=18.7\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=3.45\,k\textOmega\ and  R\textsubscript{2}=1.2\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=9.49\,mA and I\textsubscript{4}=1.81\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 1.906E+01\,V \CorrectChoice 2.097E+01\,V \choice 2.306E+01\,V \choice 2.537E+01\,V \choice 2.790E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=34.7\,V, and \textepsilon\textsubscript{2}=13.9\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=3.68\,k\textOmega\ and  R\textsubscript{2}=1.55\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=5.68\,mA and I\textsubscript{4}=0.933\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 9.286E+00\,V \choice 1.021E+01\,V \choice 1.124E+01\,V \CorrectChoice 1.236E+01\,V \choice 1.360E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=40.7\,V, and \textepsilon\textsubscript{2}=12.3\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=3.5\,k\textOmega\ and  R\textsubscript{2}=1.94\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=3.42\,mA and I\textsubscript{4}=0.932\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \CorrectChoice 1.440E+01\,V \choice 1.584E+01\,V \choice 1.742E+01\,V \choice 1.916E+01\,V \choice 2.108E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=54.9\,V, and \textepsilon\textsubscript{2}=19.8\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=3.93\,k\textOmega\ and  R\textsubscript{2}=1.31\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=9.18\,mA and I\textsubscript{4}=1.83\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \CorrectChoice 1.779E+01\,V \choice 1.957E+01\,V \choice 2.153E+01\,V \choice 2.368E+01\,V \choice 2.605E+01\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=17.3\,V, and \textepsilon\textsubscript{2}=6.46\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=2.54\,k\textOmega\ and  R\textsubscript{2}=2.79\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=1.1\,mA and I\textsubscript{4}=0.281\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 6.488E+00\,V \CorrectChoice 7.137E+00\,V \choice 7.850E+00\,V \choice 8.635E+00\,V \choice 9.499E+00\,V \end{choices} %%% end choices

\question \includegraphics[width=0.18\textwidth]{Kirchhoff-loop-w-external-current.png} Two sources of emf \textepsilon\textsubscript{1}=24.4\,V, and \textepsilon\textsubscript{2}=6.73\,V are oriented as shown in the circuit. The resistances are R\textsubscript{1}=5.7\,k\textOmega\ and  R\textsubscript{2}=1.95\,k\textOmega\. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I\textsubscript{3}=2.36\,mA and I\textsubscript{4}=0.418\,mA enter and leave near R\textsubscript{2}, while the current I\textsubscript{5} exits near R\textsubscript{1}.What is the magnitude (absolute value) of voltage drop across R\textsubscript{2}? \begin{choices} %%%%%%% begin choices \choice 5.418E+00\,V \choice 5.960E+00\,V \choice 6.556E+00\,V \choice 7.212E+00\,V \CorrectChoice 7.933E+00\,V \end{choices} %%% end choices %\pagebreak %\end{choices}%?????????????? \end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 9

\begin{questions} %%%%%%% begin questions

\question \includegraphics[width=0.16\textwidth]{RC-switch.png}In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 379\,V. If the combined external and internal resistance is 158\,\textOmega\ and the capacitance is 95\,mF, how long will it take for the capacitor's voltage to reach 234.0\,V? \begin{choices} %%%%%%% begin choices \choice 1.084E+01\,s \choice 1.192E+01\,s \choice 1.311E+01\,s \CorrectChoice 1.442E+01\,s \choice 1.586E+01\,s \end{choices} %%% end choices

\question \includegraphics[width=0.16\textwidth]{RC-switch.png}In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 319\,V. If the combined external and internal resistance is 231\,\textOmega\ and the capacitance is 64\,mF, how long will it take for the capacitor's voltage to reach 175.0\,V? \begin{choices} %%%%%%% begin choices \choice 9.718E+00\,s \choice 1.069E+01\,s \CorrectChoice 1.176E+01\,s \choice 1.293E+01\,s \choice 1.423E+01\,s \end{choices} %%% end choices

\question \includegraphics[width=0.16\textwidth]{RC-switch.png}In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 558\,V. If the combined external and internal resistance is 198\,\textOmega\ and the capacitance is 80\,mF, how long will it take for the capacitor's voltage to reach 345.0\,V? \begin{choices} %%%%%%% begin choices \choice 1.146E+01\,s \choice 1.261E+01\,s \choice 1.387E+01\,s \CorrectChoice 1.525E+01\,s \choice 1.678E+01\,s \end{choices} %%% end choices

\question \includegraphics[width=0.16\textwidth]{RC-switch.png}In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 213\,V. If the combined external and internal resistance is 118\,\textOmega\ and the capacitance is 61\,mF, how long will it take for the capacitor's voltage to reach 142.0\,V? \begin{choices} %%%%%%% begin choices \choice 5.401E+00\,s \choice 5.941E+00\,s \choice 6.535E+00\,s \choice 7.189E+00\,s \CorrectChoice 7.908E+00\,s \end{choices} %%% end choices

\question \includegraphics[width=0.16\textwidth]{RC-switch.png}In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 543\,V. If the combined external and internal resistance is 201\,\textOmega\ and the capacitance is 82\,mF, how long will it take for the capacitor's voltage to reach 281.0\,V? \begin{choices} %%%%%%% begin choices \choice 9.024E+00\,s \choice 9.927E+00\,s \choice 1.092E+01\,s \CorrectChoice 1.201E+01\,s \choice 1.321E+01\,s \end{choices} %%% end choices

\question \includegraphics[width=0.16\textwidth]{RC-switch.png}In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 554\,V. If the combined external and internal resistance is 228\,\textOmega\ and the capacitance is 93\,mF, how long will it take for the capacitor's voltage to reach 450.0\,V? \begin{choices} %%%%%%% begin choices \choice 3.224E+01\,s \CorrectChoice 3.547E+01\,s \choice 3.902E+01\,s \choice 4.292E+01\,s \choice 4.721E+01\,s \end{choices} %%% end choices

\question \includegraphics[width=0.16\textwidth]{RC-switch.png}In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 569\,V. If the combined external and internal resistance is 137\,\textOmega\ and the capacitance is 76\,mF, how long will it take for the capacitor's voltage to reach 419.0\,V? \begin{choices} %%%%%%% begin choices \choice 1.043E+01\,s \choice 1.147E+01\,s \choice 1.262E+01\,s \CorrectChoice 1.388E+01\,s \choice 1.527E+01\,s \end{choices} %%% end choices

\question \includegraphics[width=0.16\textwidth]{RC-switch.png}In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 505\,V. If the combined external and internal resistance is 189\,\textOmega\ and the capacitance is 74\,mF, how long will it take for the capacitor's voltage to reach 374.0\,V? \begin{choices} %%%%%%% begin choices \choice 1.560E+01\,s \choice 1.716E+01\,s \CorrectChoice 1.887E+01\,s \choice 2.076E+01\,s \choice 2.284E+01\,s \end{choices} %%% end choices

\question \includegraphics[width=0.16\textwidth]{RC-switch.png}In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 130\,V. If the combined external and internal resistance is 109\,\textOmega\ and the capacitance is 59\,mF, how long will it take for the capacitor's voltage to reach 69.9\,V? \begin{choices} %%%%%%% begin choices \choice 3.728E+00\,s \choice 4.101E+00\,s \choice 4.511E+00\,s \CorrectChoice 4.962E+00\,s \choice 5.458E+00\,s \end{choices} %%% end choices

\question \includegraphics[width=0.16\textwidth]{RC-switch.png}In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 190\,V. If the combined external and internal resistance is 255\,\textOmega\ and the capacitance is 54\,mF, how long will it take for the capacitor's voltage to reach 101.0\,V? \begin{choices} %%%%%%% begin choices \CorrectChoice 1.044E+01\,s \choice 1.149E+01\,s \choice 1.264E+01\,s \choice 1.390E+01\,s \choice 1.529E+01\,s \end{choices} %%% end choices

\question \includegraphics[width=0.16\textwidth]{RC-switch.png}In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 466\,V. If the combined external and internal resistance is 123\,\textOmega\ and the capacitance is 76\,mF, how long will it take for the capacitor's voltage to reach 331.0\,V? \begin{choices} %%%%%%% begin choices \choice 9.571E+00\,s \choice 1.053E+01\,s \CorrectChoice 1.158E+01\,s \choice 1.274E+01\,s \choice 1.401E+01\,s \end{choices} %%% end choices

\question \includegraphics[width=0.16\textwidth]{RC-switch.png}In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 598\,V. If the combined external and internal resistance is 170\,\textOmega\ and the capacitance is 73\,mF, how long will it take for the capacitor's voltage to reach 436.0\,V? \begin{choices} %%%%%%% begin choices \choice 1.218E+01\,s \choice 1.339E+01\,s \choice 1.473E+01\,s \CorrectChoice 1.621E+01\,s \choice 1.783E+01\,s \end{choices} %%% end choices

\question \includegraphics[width=0.16\textwidth]{RC-switch.png}In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 301\,V. If the combined external and internal resistance is 245\,\textOmega\ and the capacitance is 63\,mF, how long will it take for the capacitor's voltage to reach 192.0\,V? \begin{choices} %%%%%%% begin choices \choice 1.296E+01\,s \choice 1.425E+01\,s \CorrectChoice 1.568E+01\,s \choice 1.725E+01\,s \choice 1.897E+01\,s \end{choices} %%% end choices

\question \includegraphics[width=0.16\textwidth]{RC-switch.png}In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 327\,V. If the combined external and internal resistance is 204\,\textOmega\ and the capacitance is 68\,mF, how long will it take for the capacitor's voltage to reach 218.0\,V? \begin{choices} %%%%%%% begin choices \choice 1.385E+01\,s \CorrectChoice 1.524E+01\,s \choice 1.676E+01\,s \choice 1.844E+01\,s \choice 2.028E+01\,s \end{choices} %%% end choices

\question \includegraphics[width=0.16\textwidth]{RC-switch.png}In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 129\,V. If the combined external and internal resistance is 169\,\textOmega\ and the capacitance is 76\,mF, how long will it take for the capacitor's voltage to reach 109.0\,V? \begin{choices} %%%%%%% begin choices \choice 2.177E+01\,s \CorrectChoice 2.394E+01\,s \choice 2.634E+01\,s \choice 2.897E+01\,s \choice 3.187E+01\,s \end{choices} %%% end choices

\question \includegraphics[width=0.16\textwidth]{RC-switch.png}In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 467\,V. If the combined external and internal resistance is 172\,\textOmega\ and the capacitance is 74\,mF, how long will it take for the capacitor's voltage to reach 258.0\,V? \begin{choices} %%%%%%% begin choices \choice 7.688E+00\,s \choice 8.457E+00\,s \choice 9.303E+00\,s \CorrectChoice 1.023E+01\,s \choice 1.126E+01\,s \end{choices} %%% end choices

\question \includegraphics[width=0.16\textwidth]{RC-switch.png}In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 433\,V. If the combined external and internal resistance is 275\,\textOmega\ and the capacitance is 61\,mF, how long will it take for the capacitor's voltage to reach 223.0\,V? \begin{choices} %%%%%%% begin choices \choice 1.104E+01\,s \CorrectChoice 1.214E+01\,s \choice 1.335E+01\,s \choice 1.469E+01\,s \choice 1.616E+01\,s \end{choices} %%% end choices

\question \includegraphics[width=0.16\textwidth]{RC-switch.png}In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 351\,V. If the combined external and internal resistance is 148\,\textOmega\ and the capacitance is 60\,mF, how long will it take for the capacitor's voltage to reach 227.0\,V? \begin{choices} %%%%%%% begin choices \CorrectChoice 9.240E+00\,s \choice 1.016E+01\,s \choice 1.118E+01\,s \choice 1.230E+01\,s \choice 1.353E+01\,s \end{choices} %%% end choices

\question \includegraphics[width=0.16\textwidth]{RC-switch.png}In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 439\,V. If the combined external and internal resistance is 221\,\textOmega\ and the capacitance is 54\,mF, how long will it take for the capacitor's voltage to reach 350.0\,V? \begin{choices} %%%%%%% begin choices \CorrectChoice 1.905E+01\,s \choice 2.095E+01\,s \choice 2.304E+01\,s \choice 2.535E+01\,s \choice 2.788E+01\,s \end{choices} %%% end choices \end{questions} \pagebreak

\section{Attribution} \theendnotes \end{document}