QB/d cp2.9

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8 min video
slides only

I just made a video that is available in three places:
1- https://www.youtube.com/watch?v=1mwIkHshOIg
2-My facebook page
3-c:File:Open Quizbank Proposal First.webm
See also the pdf printout of the slides
Lake Campus Symposium: Creating a bank so students won't break the bank
https://bitbucket.org/Guy_vandegrift/qbwiki/wiki/Home/
The conversion to LaTeX should make this bank more compatible with VLEs
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See special:permalink/1893634 for a wikitext version of this quiz.

LaTexMarkup begin[edit]

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\title{d\_cp2.9}
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Attribution for each question is documented in the Appendix}
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\begin{center}                                                                                
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\begin{questions}
\question What is the average current involved when a truck battery sets in motion 720\,C of charge in 4\,s while starting an engine? \ifkey\endnote{Example in Chapter 9  from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:NLs93aS3@2/91-Electrical-Current\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1893634}}}\fi
 \begin{choices}
  \choice 1.229E+02\,A
  \choice 1.352E+02\,A
  \choice 1.488E+02\,A
  \choice 1.636E+02\,A
  \CorrectChoice 1.800E+02\,A
\end{choices}

\question The charge passing a plane intersecting a wire is \(Q(t)=Q_0\left(1-e^{-t/\tau}\right)\), where  \(Q_0\)=10\,C  and \(\tau=\)0.02\,s. What is the current at \(t=\)1.000E-02\,s?\ifkey\endnote{Example in Chapter 9  from OpenStax University Physics2:  https://cnx.org/contents/eg-XcBxE@10.1:NLs93aS3@5/9-1-Electrical-Current \_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1893634}}}\fi
 \begin{choices}
  \choice 2.506E+02\,A
  \choice 2.757E+02\,A
  \CorrectChoice 3.033E+02\,A
  \choice 3.336E+02\,A
  \choice 3.670E+02\,A
\end{choices}

\question Calculate the drift speed of electrons in a copper wire with a diameter of 2.053\,mm carrying a 20\,A current, given that there is one free electron per copper atom. The density of copper is 8.80\,x\,10\textsuperscript{3}kg/m\textsuperscript{3} and the atomic mass of copper is 63.54\,g/mol. Avagadro's number is 6.02\,x\,10\textsuperscript{23}atoms/mol.\ifkey\endnote{Example 9.3 from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:bsLusJYw@5/92-Model-of-Conduction-in-Meta\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1893634}}}\fi
 \begin{choices}
  \choice 4.111E-04\,m/s
  \CorrectChoice 4.522E-04\,m/s
  \choice 4.974E-04\,m/s
  \choice 5.472E-04\,m/s
  \choice 6.019E-04\,m/s
\end{choices}

\question A make-believe metal has a density of 8.800E+03\,kg/m\textsuperscript{3}  and an atomic mass of 63.54\,g/mol. Taking Avogadro's number to be 6.020E+23\,atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.\ifkey\endnote{[[user:Guy vandegrift]] Public Domain\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1893634}}}\fi
 \begin{choices}
  \choice 5.695E+28\,e\textsuperscript{-}/m\textsuperscript{3}
  \choice 6.264E+28\,e\textsuperscript{-}/m\textsuperscript{3}
  \choice 6.890E+28\,e\textsuperscript{-}/m\textsuperscript{3}
  \choice 7.579E+28\,e\textsuperscript{-}/m\textsuperscript{3}
  \CorrectChoice 8.337E+28\,e\textsuperscript{-}/m\textsuperscript{3}
\end{choices}

\question A device requires consumes 100\,W of power and requires 0.87\,A of current which is supplied by a single core 10-guage (2.588\,mm diameter) wire.  Find the magnitude of the average current density.\ifkey\endnote{Example 9.4 from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:bsLusJYw@5/92-Model-of-Conduction-in-Meta\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1893634}}}\fi
 \begin{choices}
  \choice 1.367E+05\,A/m\textsuperscript{2}
  \choice 1.504E+05\,A/m\textsuperscript{2}
  \CorrectChoice 1.654E+05\,A/m\textsuperscript{2}
  \choice 1.819E+05\,A/m\textsuperscript{2}
  \choice 2.001E+05\,A/m\textsuperscript{2}
\end{choices}

\question Calculate the resistance of a 12-gauge copper wire that is 5\,m long and carries a current of 10\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.\ifkey\endnote{Example in Chapter 9  from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:AoUIVAcf@3/93-Resistivity-and-Resistance\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1893634}}}\fi
 \begin{choices}
  \choice 1.907E-02\,\textOmega\ 
  \choice 2.097E-02\,\textOmega\ 
  \choice 2.307E-02\,\textOmega\ 
  \CorrectChoice 2.538E-02\,\textOmega\ 
  \choice 2.792E-02\,\textOmega\ 
\end{choices}

\question Calculate the electric field in a 12-gauge copper wire that is 5\,m long and carries a current of 10\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.\ifkey\endnote{Example in Chapter 9  from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:AoUIVAcf@3/93-Resistivity-and-Resistance\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1893634}}}\fi
 \begin{choices}
  \CorrectChoice 5.076E-05\,V/m
  \choice 5.583E-05\,V/m
  \choice 6.141E-05\,V/m
  \choice 6.756E-05\,V/m
  \choice 7.431E-05\,V/m
\end{choices}

\question Imagine a substance could be made into a very hot filament. Suppose the resitance is 3.5\,\textOmega\  at a temperature of 20\(^\circ\)C and that the temperature coefficient of expansion is 4.500E-03\,(\(^\circ\)C)\textsuperscript{-1}). What is the resistance at a temperature of 2.850E+03\,\(^\circ\)C?\ifkey\endnote{Example 9.6 from OpenStax University Physics2: [[user:Guy vandegrift]] Public Domain CC0\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1893634}}}\fi
 \begin{choices}
  \choice 4.578E+01\,\textOmega\ 
  \CorrectChoice 4.807E+01\,\textOmega\ 
  \choice 5.048E+01\,\textOmega\ 
  \choice 5.300E+01\,\textOmega\ 
  \choice 5.565E+01\,\textOmega\ 
\end{choices}

\question A DC winch moter draws 20\,amps at 115\,volts as it lifts a 4.900E+03\,N weight at a constant speed of 0.333\,m/s.  Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.\ifkey\endnote{Example 9.9 from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:kkFcweJV@3/95-Electrical-Energy-and-Power\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1893634}}}\fi
 \begin{choices}
  \choice 1.255E+00\,\textOmega\ 
  \choice 1.381E+00\,\textOmega\ 
  \choice 1.519E+00\,\textOmega\ 
  \CorrectChoice 1.671E+00\,\textOmega\ 
  \choice 1.838E+00\,\textOmega\ 
\end{choices}

\question What is consumer cost to operate one 100-W incandescent bulb for 3\,hours per day for 1 year (365 days) if the cost of electricity is \$0.1 per kilowatt-hour?\ifkey\endnote{Example 9.10 from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:kkFcweJV@3/95-Electrical-Energy-and-Power\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1893634}}}\fi
 \begin{choices}
  \choice \$8.227E+00 
  \choice \$9.050E+00 
  \choice \$9.955E+00 
  \CorrectChoice \$1.095E+01 
  \choice \$1.205E+01 
\end{choices}

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

\subsection{}%%%% subsection 1

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

\question What is the average current involved when a truck battery sets in motion 702\,C of charge in 2.92\,s while starting an engine? 
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 2.404E+02\,A
    \choice  2.645E+02\,A
    \choice  2.909E+02\,A
    \choice  3.200E+02\,A
    \choice  3.520E+02\,A
\end{choices} %%% end choices

\question What is the average current involved when a truck battery sets in motion 889\,C of charge in 3.64\,s while starting an engine? 
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 2.442E+02\,A
    \choice  2.687E+02\,A
    \choice  2.955E+02\,A
    \choice  3.251E+02\,A
    \choice  3.576E+02\,A
\end{choices} %%% end choices

\question What is the average current involved when a truck battery sets in motion 559\,C of charge in 4.13\,s while starting an engine? 
\begin{choices} %%%%%%% begin choices
    \choice  9.245E+01\,A
    \choice  1.017E+02\,A
    \choice  1.119E+02\,A
    \choice  1.230E+02\,A
    \CorrectChoice 1.354E+02\,A
\end{choices} %%% end choices

\question What is the average current involved when a truck battery sets in motion 701\,C of charge in 4.98\,s while starting an engine? 
\begin{choices} %%%%%%% begin choices
    \choice  1.280E+02\,A
    \CorrectChoice 1.408E+02\,A
    \choice  1.548E+02\,A
    \choice  1.703E+02\,A
    \choice  1.874E+02\,A
\end{choices} %%% end choices

\question What is the average current involved when a truck battery sets in motion 669\,C of charge in 4.3\,s while starting an engine? 
\begin{choices} %%%%%%% begin choices
    \choice  1.063E+02\,A
    \choice  1.169E+02\,A
    \choice  1.286E+02\,A
    \choice  1.414E+02\,A
    \CorrectChoice 1.556E+02\,A
\end{choices} %%% end choices

\question What is the average current involved when a truck battery sets in motion 618\,C of charge in 2.28\,s while starting an engine? 
\begin{choices} %%%%%%% begin choices
    \choice  2.240E+02\,A
    \choice  2.464E+02\,A
    \CorrectChoice 2.711E+02\,A
    \choice  2.982E+02\,A
    \choice  3.280E+02\,A
\end{choices} %%% end choices

\question What is the average current involved when a truck battery sets in motion 682\,C of charge in 5.29\,s while starting an engine? 
\begin{choices} %%%%%%% begin choices
    \choice  1.065E+02\,A
    \choice  1.172E+02\,A
    \CorrectChoice 1.289E+02\,A
    \choice  1.418E+02\,A
    \choice  1.560E+02\,A
\end{choices} %%% end choices

\question What is the average current involved when a truck battery sets in motion 760\,C of charge in 5.35\,s while starting an engine? 
\begin{choices} %%%%%%% begin choices
    \choice  1.291E+02\,A
    \CorrectChoice 1.421E+02\,A
    \choice  1.563E+02\,A
    \choice  1.719E+02\,A
    \choice  1.891E+02\,A
\end{choices} %%% end choices

\question What is the average current involved when a truck battery sets in motion 572\,C of charge in 3.33\,s while starting an engine? 
\begin{choices} %%%%%%% begin choices
    \choice  1.173E+02\,A
    \choice  1.291E+02\,A
    \choice  1.420E+02\,A
    \choice  1.562E+02\,A
    \CorrectChoice 1.718E+02\,A
\end{choices} %%% end choices

\question What is the average current involved when a truck battery sets in motion 659\,C of charge in 5.48\,s while starting an engine? 
\begin{choices} %%%%%%% begin choices
    \choice  8.214E+01\,A
    \choice  9.035E+01\,A
    \choice  9.938E+01\,A
    \choice  1.093E+02\,A
    \CorrectChoice 1.203E+02\,A
\end{choices} %%% end choices

\question What is the average current involved when a truck battery sets in motion 775\,C of charge in 2.9\,s while starting an engine? 
\begin{choices} %%%%%%% begin choices
    \choice  2.209E+02\,A
    \choice  2.429E+02\,A
    \CorrectChoice 2.672E+02\,A
    \choice  2.940E+02\,A
    \choice  3.234E+02\,A
\end{choices} %%% end choices

\question What is the average current involved when a truck battery sets in motion 779\,C of charge in 3.96\,s while starting an engine? 
\begin{choices} %%%%%%% begin choices
    \choice  1.626E+02\,A
    \choice  1.788E+02\,A
    \CorrectChoice 1.967E+02\,A
    \choice  2.164E+02\,A
    \choice  2.380E+02\,A
\end{choices} %%% end choices

\question What is the average current involved when a truck battery sets in motion 622\,C of charge in 5.69\,s while starting an engine? 
\begin{choices} %%%%%%% begin choices
    \choice  9.034E+01\,A
    \choice  9.938E+01\,A
    \CorrectChoice 1.093E+02\,A
    \choice  1.202E+02\,A
    \choice  1.323E+02\,A
\end{choices} %%% end choices

\question What is the average current involved when a truck battery sets in motion 821\,C of charge in 5.51\,s while starting an engine? 
\begin{choices} %%%%%%% begin choices
    \choice  1.231E+02\,A
    \choice  1.355E+02\,A
    \CorrectChoice 1.490E+02\,A
    \choice  1.639E+02\,A
    \choice  1.803E+02\,A
\end{choices} %%% end choices

\question What is the average current involved when a truck battery sets in motion 728\,C of charge in 3.94\,s while starting an engine? 
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.848E+02\,A
    \choice  2.032E+02\,A
    \choice  2.236E+02\,A
    \choice  2.459E+02\,A
    \choice  2.705E+02\,A
\end{choices} %%% end choices

\question What is the average current involved when a truck battery sets in motion 546\,C of charge in 3.7\,s while starting an engine? 
\begin{choices} %%%%%%% begin choices
    \choice  1.220E+02\,A
    \choice  1.342E+02\,A
    \CorrectChoice 1.476E+02\,A
    \choice  1.623E+02\,A
    \choice  1.786E+02\,A
\end{choices} %%% end choices

\question What is the average current involved when a truck battery sets in motion 537\,C of charge in 5.08\,s while starting an engine? 
\begin{choices} %%%%%%% begin choices
    \choice  8.736E+01\,A
    \choice  9.610E+01\,A
    \CorrectChoice 1.057E+02\,A
    \choice  1.163E+02\,A
    \choice  1.279E+02\,A
\end{choices} %%% end choices

\question What is the average current involved when a truck battery sets in motion 631\,C of charge in 3.8\,s while starting an engine? 
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.661E+02\,A
    \choice  1.827E+02\,A
    \choice  2.009E+02\,A
    \choice  2.210E+02\,A
    \choice  2.431E+02\,A
\end{choices} %%% end choices

\question What is the average current involved when a truck battery sets in motion 738\,C of charge in 3.87\,s while starting an engine? 
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.907E+02\,A
    \choice  2.098E+02\,A
    \choice  2.307E+02\,A
    \choice  2.538E+02\,A
    \choice  2.792E+02\,A
\end{choices} %%% end choices
%\pagebreak
%\end{choices}%??????????????
\end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 2

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

\question The charge passing a plane intersecting a wire is \(Q(t)=Q_0\left(1-e^{-t/\tau}\right)\), where  \(Q_0\)=38\,C  and \(\tau=\)0.0106\,s. What is the current at \(t=\)0.0123\,s?
\begin{choices} %%%%%%% begin choices
    \choice  1.021E+03\,A
    \CorrectChoice 1.123E+03\,A
    \choice  1.236E+03\,A
    \choice  1.359E+03\,A
    \choice  1.495E+03\,A
\end{choices} %%% end choices

\question The charge passing a plane intersecting a wire is \(Q(t)=Q_0\left(1-e^{-t/\tau}\right)\), where  \(Q_0\)=24\,C  and \(\tau=\)0.0248\,s. What is the current at \(t=\)0.0122\,s?
\begin{choices} %%%%%%% begin choices
    \choice  4.042E+02\,A
    \choice  4.446E+02\,A
    \choice  4.890E+02\,A
    \choice  5.379E+02\,A
    \CorrectChoice 5.917E+02\,A
\end{choices} %%% end choices

\question The charge passing a plane intersecting a wire is \(Q(t)=Q_0\left(1-e^{-t/\tau}\right)\), where  \(Q_0\)=87\,C  and \(\tau=\)0.0154\,s. What is the current at \(t=\)0.0211\,s?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.435E+03\,A
    \choice  1.579E+03\,A
    \choice  1.737E+03\,A
    \choice  1.910E+03\,A
    \choice  2.102E+03\,A
\end{choices} %%% end choices

\question The charge passing a plane intersecting a wire is \(Q(t)=Q_0\left(1-e^{-t/\tau}\right)\), where  \(Q_0\)=23\,C  and \(\tau=\)0.0204\,s. What is the current at \(t=\)0.0106\,s?
\begin{choices} %%%%%%% begin choices
    \choice  6.096E+02\,A
    \CorrectChoice 6.706E+02\,A
    \choice  7.376E+02\,A
    \choice  8.114E+02\,A
    \choice  8.925E+02\,A
\end{choices} %%% end choices

\question The charge passing a plane intersecting a wire is \(Q(t)=Q_0\left(1-e^{-t/\tau}\right)\), where  \(Q_0\)=11\,C  and \(\tau=\)0.0162\,s. What is the current at \(t=\)0.0249\,s?
\begin{choices} %%%%%%% begin choices
    \choice  9.972E+01\,A
    \choice  1.097E+02\,A
    \choice  1.207E+02\,A
    \choice  1.327E+02\,A
    \CorrectChoice 1.460E+02\,A
\end{choices} %%% end choices

\question The charge passing a plane intersecting a wire is \(Q(t)=Q_0\left(1-e^{-t/\tau}\right)\), where  \(Q_0\)=78\,C  and \(\tau=\)0.0244\,s. What is the current at \(t=\)0.0225\,s?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.271E+03\,A
    \choice  1.398E+03\,A
    \choice  1.538E+03\,A
    \choice  1.692E+03\,A
    \choice  1.861E+03\,A
\end{choices} %%% end choices

\question The charge passing a plane intersecting a wire is \(Q(t)=Q_0\left(1-e^{-t/\tau}\right)\), where  \(Q_0\)=18\,C  and \(\tau=\)0.0169\,s. What is the current at \(t=\)0.0137\,s?
\begin{choices} %%%%%%% begin choices
    \choice  3.913E+02\,A
    \choice  4.305E+02\,A
    \CorrectChoice 4.735E+02\,A
    \choice  5.209E+02\,A
    \choice  5.729E+02\,A
\end{choices} %%% end choices

\question The charge passing a plane intersecting a wire is \(Q(t)=Q_0\left(1-e^{-t/\tau}\right)\), where  \(Q_0\)=16\,C  and \(\tau=\)0.0214\,s. What is the current at \(t=\)0.0207\,s?
\begin{choices} %%%%%%% begin choices
    \choice  2.135E+02\,A
    \choice  2.349E+02\,A
    \choice  2.584E+02\,A
    \CorrectChoice 2.842E+02\,A
    \choice  3.126E+02\,A
\end{choices} %%% end choices

\question The charge passing a plane intersecting a wire is \(Q(t)=Q_0\left(1-e^{-t/\tau}\right)\), where  \(Q_0\)=84\,C  and \(\tau=\)0.0199\,s. What is the current at \(t=\)0.0104\,s?
\begin{choices} %%%%%%% begin choices
    \choice  2.275E+03\,A
    \CorrectChoice 2.503E+03\,A
    \choice  2.753E+03\,A
    \choice  3.029E+03\,A
    \choice  3.331E+03\,A
\end{choices} %%% end choices

\question The charge passing a plane intersecting a wire is \(Q(t)=Q_0\left(1-e^{-t/\tau}\right)\), where  \(Q_0\)=27\,C  and \(\tau=\)0.0154\,s. What is the current at \(t=\)0.0177\,s?
\begin{choices} %%%%%%% begin choices
    \choice  4.591E+02\,A
    \choice  5.050E+02\,A
    \CorrectChoice 5.555E+02\,A
    \choice  6.111E+02\,A
    \choice  6.722E+02\,A
\end{choices} %%% end choices

\question The charge passing a plane intersecting a wire is \(Q(t)=Q_0\left(1-e^{-t/\tau}\right)\), where  \(Q_0\)=38\,C  and \(\tau=\)0.0167\,s. What is the current at \(t=\)0.0183\,s?
\begin{choices} %%%%%%% begin choices
    \choice  5.715E+02\,A
    \choice  6.286E+02\,A
    \choice  6.915E+02\,A
    \CorrectChoice 7.606E+02\,A
    \choice  8.367E+02\,A
\end{choices} %%% end choices

\question The charge passing a plane intersecting a wire is \(Q(t)=Q_0\left(1-e^{-t/\tau}\right)\), where  \(Q_0\)=30\,C  and \(\tau=\)0.0178\,s. What is the current at \(t=\)0.0161\,s?
\begin{choices} %%%%%%% begin choices
    \choice  5.125E+02\,A
    \choice  5.638E+02\,A
    \choice  6.201E+02\,A
    \CorrectChoice 6.822E+02\,A
    \choice  7.504E+02\,A
\end{choices} %%% end choices

\question The charge passing a plane intersecting a wire is \(Q(t)=Q_0\left(1-e^{-t/\tau}\right)\), where  \(Q_0\)=58\,C  and \(\tau=\)0.0249\,s. What is the current at \(t=\)0.0191\,s?
\begin{choices} %%%%%%% begin choices
    \choice  8.127E+02\,A
    \choice  8.939E+02\,A
    \choice  9.833E+02\,A
    \CorrectChoice 1.082E+03\,A
    \choice  1.190E+03\,A
\end{choices} %%% end choices

\question The charge passing a plane intersecting a wire is \(Q(t)=Q_0\left(1-e^{-t/\tau}\right)\), where  \(Q_0\)=97\,C  and \(\tau=\)0.0132\,s. What is the current at \(t=\)0.0225\,s?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.336E+03\,A
    \choice  1.470E+03\,A
    \choice  1.617E+03\,A
    \choice  1.779E+03\,A
    \choice  1.957E+03\,A
\end{choices} %%% end choices

\question The charge passing a plane intersecting a wire is \(Q(t)=Q_0\left(1-e^{-t/\tau}\right)\), where  \(Q_0\)=85\,C  and \(\tau=\)0.021\,s. What is the current at \(t=\)0.0128\,s?
\begin{choices} %%%%%%% begin choices
    \choice  1.503E+03\,A
    \choice  1.653E+03\,A
    \choice  1.818E+03\,A
    \choice  2.000E+03\,A
    \CorrectChoice 2.200E+03\,A
\end{choices} %%% end choices

\question The charge passing a plane intersecting a wire is \(Q(t)=Q_0\left(1-e^{-t/\tau}\right)\), where  \(Q_0\)=42\,C  and \(\tau=\)0.0166\,s. What is the current at \(t=\)0.0156\,s?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 9.886E+02\,A
    \choice  1.087E+03\,A
    \choice  1.196E+03\,A
    \choice  1.316E+03\,A
    \choice  1.447E+03\,A
\end{choices} %%% end choices

\question The charge passing a plane intersecting a wire is \(Q(t)=Q_0\left(1-e^{-t/\tau}\right)\), where  \(Q_0\)=52\,C  and \(\tau=\)0.018\,s. What is the current at \(t=\)0.0207\,s?
\begin{choices} %%%%%%% begin choices
    \choice  6.872E+02\,A
    \choice  7.560E+02\,A
    \choice  8.316E+02\,A
    \CorrectChoice 9.147E+02\,A
    \choice  1.006E+03\,A
\end{choices} %%% end choices

\question The charge passing a plane intersecting a wire is \(Q(t)=Q_0\left(1-e^{-t/\tau}\right)\), where  \(Q_0\)=63\,C  and \(\tau=\)0.0149\,s. What is the current at \(t=\)0.0172\,s?
\begin{choices} %%%%%%% begin choices
    \choice  1.212E+03\,A
    \CorrectChoice 1.333E+03\,A
    \choice  1.466E+03\,A
    \choice  1.613E+03\,A
    \choice  1.774E+03\,A
\end{choices} %%% end choices

\question The charge passing a plane intersecting a wire is \(Q(t)=Q_0\left(1-e^{-t/\tau}\right)\), where  \(Q_0\)=91\,C  and \(\tau=\)0.0156\,s. What is the current at \(t=\)0.0131\,s?
\begin{choices} %%%%%%% begin choices
    \choice  2.082E+03\,A
    \choice  2.290E+03\,A
    \CorrectChoice 2.519E+03\,A
    \choice  2.771E+03\,A
    \choice  3.048E+03\,A
\end{choices} %%% end choices
%\pagebreak
%\end{choices}%??????????????
\end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 3

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

\question Calculate the drift speed of electrons in a copper wire with a diameter of 3.32\,mm carrying a 18.4\,A current, given that there is one free electron per copper atom. The density of copper is 8.80\,x\,10\textsuperscript{3}kg/m\textsuperscript{3} and the atomic mass of copper is 63.54\,g/mol. Avagadro's number is 6.02\,x\,10\textsuperscript{23}atoms/mol.
\begin{choices} %%%%%%% begin choices
    \choice  1.195E-04\,m/s
    \choice  1.315E-04\,m/s
    \choice  1.446E-04\,m/s
    \CorrectChoice 1.591E-04\,m/s
    \choice  1.750E-04\,m/s
\end{choices} %%% end choices

\question Calculate the drift speed of electrons in a copper wire with a diameter of 4.49\,mm carrying a 11.6\,A current, given that there is one free electron per copper atom. The density of copper is 8.80\,x\,10\textsuperscript{3}kg/m\textsuperscript{3} and the atomic mass of copper is 63.54\,g/mol. Avagadro's number is 6.02\,x\,10\textsuperscript{23}atoms/mol.
\begin{choices} %%%%%%% begin choices
    \choice  4.120E-05\,m/s
    \choice  4.532E-05\,m/s
    \choice  4.985E-05\,m/s
    \CorrectChoice 5.483E-05\,m/s
    \choice  6.032E-05\,m/s
\end{choices} %%% end choices

\question Calculate the drift speed of electrons in a copper wire with a diameter of 5.82\,mm carrying a 9.11\,A current, given that there is one free electron per copper atom. The density of copper is 8.80\,x\,10\textsuperscript{3}kg/m\textsuperscript{3} and the atomic mass of copper is 63.54\,g/mol. Avagadro's number is 6.02\,x\,10\textsuperscript{23}atoms/mol.
\begin{choices} %%%%%%% begin choices
    \choice  1.926E-05\,m/s
    \choice  2.118E-05\,m/s
    \choice  2.330E-05\,m/s
    \CorrectChoice 2.563E-05\,m/s
    \choice  2.819E-05\,m/s
\end{choices} %%% end choices

\question Calculate the drift speed of electrons in a copper wire with a diameter of 5.24\,mm carrying a 1.8\,A current, given that there is one free electron per copper atom. The density of copper is 8.80\,x\,10\textsuperscript{3}kg/m\textsuperscript{3} and the atomic mass of copper is 63.54\,g/mol. Avagadro's number is 6.02\,x\,10\textsuperscript{23}atoms/mol.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 6.247E-06\,m/s
    \choice  6.872E-06\,m/s
    \choice  7.559E-06\,m/s
    \choice  8.315E-06\,m/s
    \choice  9.146E-06\,m/s
\end{choices} %%% end choices

\question Calculate the drift speed of electrons in a copper wire with a diameter of 2.17\,mm carrying a 19.4\,A current, given that there is one free electron per copper atom. The density of copper is 8.80\,x\,10\textsuperscript{3}kg/m\textsuperscript{3} and the atomic mass of copper is 63.54\,g/mol. Avagadro's number is 6.02\,x\,10\textsuperscript{23}atoms/mol.
\begin{choices} %%%%%%% begin choices
    \choice  3.569E-04\,m/s
    \CorrectChoice 3.926E-04\,m/s
    \choice  4.319E-04\,m/s
    \choice  4.750E-04\,m/s
    \choice  5.226E-04\,m/s
\end{choices} %%% end choices

\question Calculate the drift speed of electrons in a copper wire with a diameter of 4.79\,mm carrying a 10.9\,A current, given that there is one free electron per copper atom. The density of copper is 8.80\,x\,10\textsuperscript{3}kg/m\textsuperscript{3} and the atomic mass of copper is 63.54\,g/mol. Avagadro's number is 6.02\,x\,10\textsuperscript{23}atoms/mol.
\begin{choices} %%%%%%% begin choices
    \choice  3.401E-05\,m/s
    \choice  3.741E-05\,m/s
    \choice  4.116E-05\,m/s
    \CorrectChoice 4.527E-05\,m/s
    \choice  4.980E-05\,m/s
\end{choices} %%% end choices

\question Calculate the drift speed of electrons in a copper wire with a diameter of 5.46\,mm carrying a 8.19\,A current, given that there is one free electron per copper atom. The density of copper is 8.80\,x\,10\textsuperscript{3}kg/m\textsuperscript{3} and the atomic mass of copper is 63.54\,g/mol. Avagadro's number is 6.02\,x\,10\textsuperscript{23}atoms/mol.
\begin{choices} %%%%%%% begin choices
    \choice  2.380E-05\,m/s
    \CorrectChoice 2.618E-05\,m/s
    \choice  2.880E-05\,m/s
    \choice  3.168E-05\,m/s
    \choice  3.485E-05\,m/s
\end{choices} %%% end choices

\question Calculate the drift speed of electrons in a copper wire with a diameter of 5.71\,mm carrying a 7.54\,A current, given that there is one free electron per copper atom. The density of copper is 8.80\,x\,10\textsuperscript{3}kg/m\textsuperscript{3} and the atomic mass of copper is 63.54\,g/mol. Avagadro's number is 6.02\,x\,10\textsuperscript{23}atoms/mol.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 2.204E-05\,m/s
    \choice  2.424E-05\,m/s
    \choice  2.667E-05\,m/s
    \choice  2.933E-05\,m/s
    \choice  3.227E-05\,m/s
\end{choices} %%% end choices

\question Calculate the drift speed of electrons in a copper wire with a diameter of 5.46\,mm carrying a 5.05\,A current, given that there is one free electron per copper atom. The density of copper is 8.80\,x\,10\textsuperscript{3}kg/m\textsuperscript{3} and the atomic mass of copper is 63.54\,g/mol. Avagadro's number is 6.02\,x\,10\textsuperscript{23}atoms/mol.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.614E-05\,m/s
    \choice  1.776E-05\,m/s
    \choice  1.953E-05\,m/s
    \choice  2.149E-05\,m/s
    \choice  2.363E-05\,m/s
\end{choices} %%% end choices

\question Calculate the drift speed of electrons in a copper wire with a diameter of 5.47\,mm carrying a 3.48\,A current, given that there is one free electron per copper atom. The density of copper is 8.80\,x\,10\textsuperscript{3}kg/m\textsuperscript{3} and the atomic mass of copper is 63.54\,g/mol. Avagadro's number is 6.02\,x\,10\textsuperscript{23}atoms/mol.
\begin{choices} %%%%%%% begin choices
    \choice  1.008E-05\,m/s
    \CorrectChoice 1.108E-05\,m/s
    \choice  1.219E-05\,m/s
    \choice  1.341E-05\,m/s
    \choice  1.475E-05\,m/s
\end{choices} %%% end choices

\question Calculate the drift speed of electrons in a copper wire with a diameter of 4.38\,mm carrying a 5.79\,A current, given that there is one free electron per copper atom. The density of copper is 8.80\,x\,10\textsuperscript{3}kg/m\textsuperscript{3} and the atomic mass of copper is 63.54\,g/mol. Avagadro's number is 6.02\,x\,10\textsuperscript{23}atoms/mol.
\begin{choices} %%%%%%% begin choices
    \choice  2.615E-05\,m/s
    \CorrectChoice 2.876E-05\,m/s
    \choice  3.164E-05\,m/s
    \choice  3.480E-05\,m/s
    \choice  3.828E-05\,m/s
\end{choices} %%% end choices

\question Calculate the drift speed of electrons in a copper wire with a diameter of 3.3\,mm carrying a 18.5\,A current, given that there is one free electron per copper atom. The density of copper is 8.80\,x\,10\textsuperscript{3}kg/m\textsuperscript{3} and the atomic mass of copper is 63.54\,g/mol. Avagadro's number is 6.02\,x\,10\textsuperscript{23}atoms/mol.
\begin{choices} %%%%%%% begin choices
    \choice  1.472E-04\,m/s
    \CorrectChoice 1.619E-04\,m/s
    \choice  1.781E-04\,m/s
    \choice  1.959E-04\,m/s
    \choice  2.155E-04\,m/s
\end{choices} %%% end choices

\question Calculate the drift speed of electrons in a copper wire with a diameter of 2.72\,mm carrying a 16.2\,A current, given that there is one free electron per copper atom. The density of copper is 8.80\,x\,10\textsuperscript{3}kg/m\textsuperscript{3} and the atomic mass of copper is 63.54\,g/mol. Avagadro's number is 6.02\,x\,10\textsuperscript{23}atoms/mol.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 2.087E-04\,m/s
    \choice  2.295E-04\,m/s
    \choice  2.525E-04\,m/s
    \choice  2.777E-04\,m/s
    \choice  3.055E-04\,m/s
\end{choices} %%% end choices

\question Calculate the drift speed of electrons in a copper wire with a diameter of 5.33\,mm carrying a 5.1\,A current, given that there is one free electron per copper atom. The density of copper is 8.80\,x\,10\textsuperscript{3}kg/m\textsuperscript{3} and the atomic mass of copper is 63.54\,g/mol. Avagadro's number is 6.02\,x\,10\textsuperscript{23}atoms/mol.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.711E-05\,m/s
    \choice  1.882E-05\,m/s
    \choice  2.070E-05\,m/s
    \choice  2.277E-05\,m/s
    \choice  2.505E-05\,m/s
\end{choices} %%% end choices

\question Calculate the drift speed of electrons in a copper wire with a diameter of 4.9\,mm carrying a 6.43\,A current, given that there is one free electron per copper atom. The density of copper is 8.80\,x\,10\textsuperscript{3}kg/m\textsuperscript{3} and the atomic mass of copper is 63.54\,g/mol. Avagadro's number is 6.02\,x\,10\textsuperscript{23}atoms/mol.
\begin{choices} %%%%%%% begin choices
    \choice  2.109E-05\,m/s
    \choice  2.320E-05\,m/s
    \CorrectChoice 2.552E-05\,m/s
    \choice  2.807E-05\,m/s
    \choice  3.088E-05\,m/s
\end{choices} %%% end choices

\question Calculate the drift speed of electrons in a copper wire with a diameter of 3.17\,mm carrying a 12.0\,A current, given that there is one free electron per copper atom. The density of copper is 8.80\,x\,10\textsuperscript{3}kg/m\textsuperscript{3} and the atomic mass of copper is 63.54\,g/mol. Avagadro's number is 6.02\,x\,10\textsuperscript{23}atoms/mol.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.138E-04\,m/s
    \choice  1.252E-04\,m/s
    \choice  1.377E-04\,m/s
    \choice  1.515E-04\,m/s
    \choice  1.666E-04\,m/s
\end{choices} %%% end choices

\question Calculate the drift speed of electrons in a copper wire with a diameter of 3.53\,mm carrying a 2.8\,A current, given that there is one free electron per copper atom. The density of copper is 8.80\,x\,10\textsuperscript{3}kg/m\textsuperscript{3} and the atomic mass of copper is 63.54\,g/mol. Avagadro's number is 6.02\,x\,10\textsuperscript{23}atoms/mol.
\begin{choices} %%%%%%% begin choices
    \choice  1.947E-05\,m/s
    \CorrectChoice 2.141E-05\,m/s
    \choice  2.355E-05\,m/s
    \choice  2.591E-05\,m/s
    \choice  2.850E-05\,m/s
\end{choices} %%% end choices

\question Calculate the drift speed of electrons in a copper wire with a diameter of 5.19\,mm carrying a 18.2\,A current, given that there is one free electron per copper atom. The density of copper is 8.80\,x\,10\textsuperscript{3}kg/m\textsuperscript{3} and the atomic mass of copper is 63.54\,g/mol. Avagadro's number is 6.02\,x\,10\textsuperscript{23}atoms/mol.
\begin{choices} %%%%%%% begin choices
    \choice  5.321E-05\,m/s
    \choice  5.853E-05\,m/s
    \CorrectChoice 6.439E-05\,m/s
    \choice  7.083E-05\,m/s
    \choice  7.791E-05\,m/s
\end{choices} %%% end choices

\question Calculate the drift speed of electrons in a copper wire with a diameter of 3.33\,mm carrying a 13.8\,A current, given that there is one free electron per copper atom. The density of copper is 8.80\,x\,10\textsuperscript{3}kg/m\textsuperscript{3} and the atomic mass of copper is 63.54\,g/mol. Avagadro's number is 6.02\,x\,10\textsuperscript{23}atoms/mol.
\begin{choices} %%%%%%% begin choices
    \choice  8.910E-05\,m/s
    \choice  9.801E-05\,m/s
    \choice  1.078E-04\,m/s
    \CorrectChoice 1.186E-04\,m/s
    \choice  1.305E-04\,m/s
\end{choices} %%% end choices
%\pagebreak
%\end{choices}%??????????????
\end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 4

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

\question A make-believe metal has a density of 5.880E+03\,kg/m\textsuperscript{3}  and an atomic mass of 73.2\,g/mol. Taking Avogadro's number to be 6.020E+23\,atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.
\begin{choices} %%%%%%% begin choices
    \choice  4.396E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \CorrectChoice 4.836E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  5.319E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  5.851E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  6.436E+28\,e\textsuperscript{-}/m\textsuperscript{3}
\end{choices} %%% end choices

\question A make-believe metal has a density of 1.180E+04\,kg/m\textsuperscript{3}  and an atomic mass of 121.0\,g/mol. Taking Avogadro's number to be 6.020E+23\,atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.
\begin{choices} %%%%%%% begin choices
    \choice  4.010E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  4.411E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  4.852E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  5.337E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \CorrectChoice 5.871E+28\,e\textsuperscript{-}/m\textsuperscript{3}
\end{choices} %%% end choices

\question A make-believe metal has a density of 1.580E+04\,kg/m\textsuperscript{3}  and an atomic mass of 41.5\,g/mol. Taking Avogadro's number to be 6.020E+23\,atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 2.292E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  2.521E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  2.773E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  3.051E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  3.356E+29\,e\textsuperscript{-}/m\textsuperscript{3}
\end{choices} %%% end choices

\question A make-believe metal has a density of 1.480E+04\,kg/m\textsuperscript{3}  and an atomic mass of 196.0\,g/mol. Taking Avogadro's number to be 6.020E+23\,atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 4.546E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  5.000E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  5.500E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  6.050E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  6.655E+28\,e\textsuperscript{-}/m\textsuperscript{3}
\end{choices} %%% end choices

\question A make-believe metal has a density of 1.300E+04\,kg/m\textsuperscript{3}  and an atomic mass of 75.7\,g/mol. Taking Avogadro's number to be 6.020E+23\,atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.
\begin{choices} %%%%%%% begin choices
    \choice  9.398E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \CorrectChoice 1.034E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  1.137E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  1.251E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  1.376E+29\,e\textsuperscript{-}/m\textsuperscript{3}
\end{choices} %%% end choices

\question A make-believe metal has a density of 3.230E+03\,kg/m\textsuperscript{3}  and an atomic mass of 116.0\,g/mol. Taking Avogadro's number to be 6.020E+23\,atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.
\begin{choices} %%%%%%% begin choices
    \choice  1.385E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  1.524E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \CorrectChoice 1.676E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  1.844E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  2.028E+28\,e\textsuperscript{-}/m\textsuperscript{3}
\end{choices} %%% end choices

\question A make-believe metal has a density of 3.470E+03\,kg/m\textsuperscript{3}  and an atomic mass of 33.8\,g/mol. Taking Avogadro's number to be 6.020E+23\,atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 6.180E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  6.798E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  7.478E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  8.226E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  9.049E+28\,e\textsuperscript{-}/m\textsuperscript{3}
\end{choices} %%% end choices

\question A make-believe metal has a density of 3.530E+03\,kg/m\textsuperscript{3}  and an atomic mass of 10.5\,g/mol. Taking Avogadro's number to be 6.020E+23\,atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.
\begin{choices} %%%%%%% begin choices
    \choice  1.673E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  1.840E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \CorrectChoice 2.024E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  2.226E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  2.449E+29\,e\textsuperscript{-}/m\textsuperscript{3}
\end{choices} %%% end choices

\question A make-believe metal has a density of 6.650E+03\,kg/m\textsuperscript{3}  and an atomic mass of 67.5\,g/mol. Taking Avogadro's number to be 6.020E+23\,atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.
\begin{choices} %%%%%%% begin choices
    \choice  4.456E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  4.901E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  5.392E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \CorrectChoice 5.931E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  6.524E+28\,e\textsuperscript{-}/m\textsuperscript{3}
\end{choices} %%% end choices

\question A make-believe metal has a density of 7.000E+03\,kg/m\textsuperscript{3}  and an atomic mass of 89.4\,g/mol. Taking Avogadro's number to be 6.020E+23\,atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.
\begin{choices} %%%%%%% begin choices
    \choice  3.219E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  3.541E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  3.896E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  4.285E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \CorrectChoice 4.714E+28\,e\textsuperscript{-}/m\textsuperscript{3}
\end{choices} %%% end choices

\question A make-believe metal has a density of 8.060E+03\,kg/m\textsuperscript{3}  and an atomic mass of 19.7\,g/mol. Taking Avogadro's number to be 6.020E+23\,atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.
\begin{choices} %%%%%%% begin choices
    \choice  1.850E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  2.036E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  2.239E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \CorrectChoice 2.463E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  2.709E+29\,e\textsuperscript{-}/m\textsuperscript{3}
\end{choices} %%% end choices

\question A make-believe metal has a density of 1.810E+04\,kg/m\textsuperscript{3}  and an atomic mass of 14.0\,g/mol. Taking Avogadro's number to be 6.020E+23\,atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.
\begin{choices} %%%%%%% begin choices
    \choice  5.847E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  6.432E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  7.075E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \CorrectChoice 7.783E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  8.561E+29\,e\textsuperscript{-}/m\textsuperscript{3}
\end{choices} %%% end choices

\question A make-believe metal has a density of 5.880E+03\,kg/m\textsuperscript{3}  and an atomic mass of 87.4\,g/mol. Taking Avogadro's number to be 6.020E+23\,atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.
\begin{choices} %%%%%%% begin choices
    \choice  3.347E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  3.682E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \CorrectChoice 4.050E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  4.455E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  4.901E+28\,e\textsuperscript{-}/m\textsuperscript{3}
\end{choices} %%% end choices

\question A make-believe metal has a density of 1.510E+04\,kg/m\textsuperscript{3}  and an atomic mass of 33.6\,g/mol. Taking Avogadro's number to be 6.020E+23\,atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.
\begin{choices} %%%%%%% begin choices
    \choice  2.236E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  2.459E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \CorrectChoice 2.705E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  2.976E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  3.274E+29\,e\textsuperscript{-}/m\textsuperscript{3}
\end{choices} %%% end choices

\question A make-believe metal has a density of 1.050E+04\,kg/m\textsuperscript{3}  and an atomic mass of 58.8\,g/mol. Taking Avogadro's number to be 6.020E+23\,atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.075E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  1.183E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  1.301E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  1.431E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  1.574E+29\,e\textsuperscript{-}/m\textsuperscript{3}
\end{choices} %%% end choices

\question A make-believe metal has a density of 2.670E+03\,kg/m\textsuperscript{3}  and an atomic mass of 40.9\,g/mol. Taking Avogadro's number to be 6.020E+23\,atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 3.930E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  4.323E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  4.755E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  5.231E+28\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  5.754E+28\,e\textsuperscript{-}/m\textsuperscript{3}
\end{choices} %%% end choices

\question A make-believe metal has a density of 1.430E+04\,kg/m\textsuperscript{3}  and an atomic mass of 37.8\,g/mol. Taking Avogadro's number to be 6.020E+23\,atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.
\begin{choices} %%%%%%% begin choices
    \choice  1.882E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  2.070E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \CorrectChoice 2.277E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  2.505E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  2.756E+29\,e\textsuperscript{-}/m\textsuperscript{3}
\end{choices} %%% end choices

\question A make-believe metal has a density of 1.480E+04\,kg/m\textsuperscript{3}  and an atomic mass of 73.3\,g/mol. Taking Avogadro's number to be 6.020E+23\,atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.
\begin{choices} %%%%%%% begin choices
    \choice  1.105E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \CorrectChoice 1.215E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  1.337E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  1.471E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  1.618E+29\,e\textsuperscript{-}/m\textsuperscript{3}
\end{choices} %%% end choices

\question A make-believe metal has a density of 8.690E+03\,kg/m\textsuperscript{3}  and an atomic mass of 48.4\,g/mol. Taking Avogadro's number to be 6.020E+23\,atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.081E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  1.189E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  1.308E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  1.439E+29\,e\textsuperscript{-}/m\textsuperscript{3}
    \choice  1.582E+29\,e\textsuperscript{-}/m\textsuperscript{3}
\end{choices} %%% end choices
%\pagebreak
%\end{choices}%??????????????
\end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 5

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

\question A device requires consumes 121\,W of power and requires 5.12\,A of current which is supplied by a single core 10-guage (2.588\,mm diameter) wire.  Find the magnitude of the average current density.
\begin{choices} %%%%%%% begin choices
    \choice  8.849E+05\,A/m\textsuperscript{2}
    \CorrectChoice 9.734E+05\,A/m\textsuperscript{2}
    \choice  1.071E+06\,A/m\textsuperscript{2}
    \choice  1.178E+06\,A/m\textsuperscript{2}
    \choice  1.296E+06\,A/m\textsuperscript{2}
\end{choices} %%% end choices

\question A device requires consumes 81\,W of power and requires 2.34\,A of current which is supplied by a single core 10-guage (2.588\,mm diameter) wire.  Find the magnitude of the average current density.
\begin{choices} %%%%%%% begin choices
    \choice  3.342E+05\,A/m\textsuperscript{2}
    \choice  3.677E+05\,A/m\textsuperscript{2}
    \choice  4.044E+05\,A/m\textsuperscript{2}
    \CorrectChoice 4.449E+05\,A/m\textsuperscript{2}
    \choice  4.894E+05\,A/m\textsuperscript{2}
\end{choices} %%% end choices

\question A device requires consumes 168\,W of power and requires 11.0\,A of current which is supplied by a single core 10-guage (2.588\,mm diameter) wire.  Find the magnitude of the average current density.
\begin{choices} %%%%%%% begin choices
    \choice  1.901E+06\,A/m\textsuperscript{2}
    \CorrectChoice 2.091E+06\,A/m\textsuperscript{2}
    \choice  2.300E+06\,A/m\textsuperscript{2}
    \choice  2.530E+06\,A/m\textsuperscript{2}
    \choice  2.783E+06\,A/m\textsuperscript{2}
\end{choices} %%% end choices

\question A device requires consumes 73\,W of power and requires 9.14\,A of current which is supplied by a single core 10-guage (2.588\,mm diameter) wire.  Find the magnitude of the average current density.
\begin{choices} %%%%%%% begin choices
    \choice  1.187E+06\,A/m\textsuperscript{2}
    \choice  1.306E+06\,A/m\textsuperscript{2}
    \choice  1.436E+06\,A/m\textsuperscript{2}
    \choice  1.580E+06\,A/m\textsuperscript{2}
    \CorrectChoice 1.738E+06\,A/m\textsuperscript{2}
\end{choices} %%% end choices

\question A device requires consumes 78\,W of power and requires 11.3\,A of current which is supplied by a single core 10-guage (2.588\,mm diameter) wire.  Find the magnitude of the average current density.
\begin{choices} %%%%%%% begin choices
    \choice  1.953E+06\,A/m\textsuperscript{2}
    \CorrectChoice 2.148E+06\,A/m\textsuperscript{2}
    \choice  2.363E+06\,A/m\textsuperscript{2}
    \choice  2.599E+06\,A/m\textsuperscript{2}
    \choice  2.859E+06\,A/m\textsuperscript{2}
\end{choices} %%% end choices

\question A device requires consumes 72\,W of power and requires 11.7\,A of current which is supplied by a single core 10-guage (2.588\,mm diameter) wire.  Find the magnitude of the average current density.
\begin{choices} %%%%%%% begin choices
    \choice  1.519E+06\,A/m\textsuperscript{2}
    \choice  1.671E+06\,A/m\textsuperscript{2}
    \choice  1.838E+06\,A/m\textsuperscript{2}
    \choice  2.022E+06\,A/m\textsuperscript{2}
    \CorrectChoice 2.224E+06\,A/m\textsuperscript{2}
\end{choices} %%% end choices

\question A device requires consumes 84\,W of power and requires 3.66\,A of current which is supplied by a single core 10-guage (2.588\,mm diameter) wire.  Find the magnitude of the average current density.
\begin{choices} %%%%%%% begin choices
    \choice  5.751E+05\,A/m\textsuperscript{2}
    \choice  6.326E+05\,A/m\textsuperscript{2}
    \CorrectChoice 6.958E+05\,A/m\textsuperscript{2}
    \choice  7.654E+05\,A/m\textsuperscript{2}
    \choice  8.419E+05\,A/m\textsuperscript{2}
\end{choices} %%% end choices

\question A device requires consumes 172\,W of power and requires 2.21\,A of current which is supplied by a single core 10-guage (2.588\,mm diameter) wire.  Find the magnitude of the average current density.
\begin{choices} %%%%%%% begin choices
    \choice  3.157E+05\,A/m\textsuperscript{2}
    \choice  3.472E+05\,A/m\textsuperscript{2}
    \choice  3.820E+05\,A/m\textsuperscript{2}
    \CorrectChoice 4.202E+05\,A/m\textsuperscript{2}
    \choice  4.622E+05\,A/m\textsuperscript{2}
\end{choices} %%% end choices

\question A device requires consumes 142\,W of power and requires 12.1\,A of current which is supplied by a single core 10-guage (2.588\,mm diameter) wire.  Find the magnitude of the average current density.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 2.300E+06\,A/m\textsuperscript{2}
    \choice  2.530E+06\,A/m\textsuperscript{2}
    \choice  2.783E+06\,A/m\textsuperscript{2}
    \choice  3.062E+06\,A/m\textsuperscript{2}
    \choice  3.368E+06\,A/m\textsuperscript{2}
\end{choices} %%% end choices

\question A device requires consumes 166\,W of power and requires 9.99\,A of current which is supplied by a single core 10-guage (2.588\,mm diameter) wire.  Find the magnitude of the average current density.
\begin{choices} %%%%%%% begin choices
    \choice  1.570E+06\,A/m\textsuperscript{2}
    \choice  1.727E+06\,A/m\textsuperscript{2}
    \CorrectChoice 1.899E+06\,A/m\textsuperscript{2}
    \choice  2.089E+06\,A/m\textsuperscript{2}
    \choice  2.298E+06\,A/m\textsuperscript{2}
\end{choices} %%% end choices

\question A device requires consumes 156\,W of power and requires 5.42\,A of current which is supplied by a single core 10-guage (2.588\,mm diameter) wire.  Find the magnitude of the average current density.
\begin{choices} %%%%%%% begin choices
    \choice  7.742E+05\,A/m\textsuperscript{2}
    \choice  8.516E+05\,A/m\textsuperscript{2}
    \choice  9.367E+05\,A/m\textsuperscript{2}
    \CorrectChoice 1.030E+06\,A/m\textsuperscript{2}
    \choice  1.133E+06\,A/m\textsuperscript{2}
\end{choices} %%% end choices

\question A device requires consumes 126\,W of power and requires 1.11\,A of current which is supplied by a single core 10-guage (2.588\,mm diameter) wire.  Find the magnitude of the average current density.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 2.110E+05\,A/m\textsuperscript{2}
    \choice  2.321E+05\,A/m\textsuperscript{2}
    \choice  2.553E+05\,A/m\textsuperscript{2}
    \choice  2.809E+05\,A/m\textsuperscript{2}
    \choice  3.090E+05\,A/m\textsuperscript{2}
\end{choices} %%% end choices

\question A device requires consumes 177\,W of power and requires 6.82\,A of current which is supplied by a single core 10-guage (2.588\,mm diameter) wire.  Find the magnitude of the average current density.
\begin{choices} %%%%%%% begin choices
    \choice  9.741E+05\,A/m\textsuperscript{2}
    \choice  1.072E+06\,A/m\textsuperscript{2}
    \choice  1.179E+06\,A/m\textsuperscript{2}
    \CorrectChoice 1.297E+06\,A/m\textsuperscript{2}
    \choice  1.426E+06\,A/m\textsuperscript{2}
\end{choices} %%% end choices

\question A device requires consumes 88\,W of power and requires 11.3\,A of current which is supplied by a single core 10-guage (2.588\,mm diameter) wire.  Find the magnitude of the average current density.
\begin{choices} %%%%%%% begin choices
    \choice  1.467E+06\,A/m\textsuperscript{2}
    \choice  1.614E+06\,A/m\textsuperscript{2}
    \choice  1.775E+06\,A/m\textsuperscript{2}
    \choice  1.953E+06\,A/m\textsuperscript{2}
    \CorrectChoice 2.148E+06\,A/m\textsuperscript{2}
\end{choices} %%% end choices

\question A device requires consumes 196\,W of power and requires 2.4\,A of current which is supplied by a single core 10-guage (2.588\,mm diameter) wire.  Find the magnitude of the average current density.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 4.563E+05\,A/m\textsuperscript{2}
    \choice  5.019E+05\,A/m\textsuperscript{2}
    \choice  5.521E+05\,A/m\textsuperscript{2}
    \choice  6.073E+05\,A/m\textsuperscript{2}
    \choice  6.680E+05\,A/m\textsuperscript{2}
\end{choices} %%% end choices

\question A device requires consumes 185\,W of power and requires 10.1\,A of current which is supplied by a single core 10-guage (2.588\,mm diameter) wire.  Find the magnitude of the average current density.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.920E+06\,A/m\textsuperscript{2}
    \choice  2.112E+06\,A/m\textsuperscript{2}
    \choice  2.323E+06\,A/m\textsuperscript{2}
    \choice  2.556E+06\,A/m\textsuperscript{2}
    \choice  2.811E+06\,A/m\textsuperscript{2}
\end{choices} %%% end choices

\question A device requires consumes 120\,W of power and requires 4.85\,A of current which is supplied by a single core 10-guage (2.588\,mm diameter) wire.  Find the magnitude of the average current density.
\begin{choices} %%%%%%% begin choices
    \choice  7.620E+05\,A/m\textsuperscript{2}
    \choice  8.382E+05\,A/m\textsuperscript{2}
    \CorrectChoice 9.221E+05\,A/m\textsuperscript{2}
    \choice  1.014E+06\,A/m\textsuperscript{2}
    \choice  1.116E+06\,A/m\textsuperscript{2}
\end{choices} %%% end choices

\question A device requires consumes 103\,W of power and requires 6.3\,A of current which is supplied by a single core 10-guage (2.588\,mm diameter) wire.  Find the magnitude of the average current density.
\begin{choices} %%%%%%% begin choices
    \choice  8.999E+05\,A/m\textsuperscript{2}
    \choice  9.899E+05\,A/m\textsuperscript{2}
    \choice  1.089E+06\,A/m\textsuperscript{2}
    \CorrectChoice 1.198E+06\,A/m\textsuperscript{2}
    \choice  1.317E+06\,A/m\textsuperscript{2}
\end{choices} %%% end choices

\question A device requires consumes 176\,W of power and requires 11.9\,A of current which is supplied by a single core 10-guage (2.588\,mm diameter) wire.  Find the magnitude of the average current density.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 2.262E+06\,A/m\textsuperscript{2}
    \choice  2.489E+06\,A/m\textsuperscript{2}
    \choice  2.737E+06\,A/m\textsuperscript{2}
    \choice  3.011E+06\,A/m\textsuperscript{2}
    \choice  3.312E+06\,A/m\textsuperscript{2}
\end{choices} %%% end choices
%\pagebreak
%\end{choices}%??????????????
\end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 6

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

\question Calculate the resistance of a 12-gauge copper wire that is 97\,m long and carries a current of 29\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 4.923E-01\,\textOmega\ 
    \choice  5.416E-01\,\textOmega\ 
    \choice  5.957E-01\,\textOmega\ 
    \choice  6.553E-01\,\textOmega\ 
    \choice  7.208E-01\,\textOmega\ 
\end{choices} %%% end choices

\question Calculate the resistance of a 12-gauge copper wire that is 52\,m long and carries a current of 99\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  1.983E-01\,\textOmega\ 
    \choice  2.181E-01\,\textOmega\ 
    \choice  2.399E-01\,\textOmega\ 
    \CorrectChoice 2.639E-01\,\textOmega\ 
    \choice  2.903E-01\,\textOmega\ 
\end{choices} %%% end choices

\question Calculate the resistance of a 12-gauge copper wire that is 69\,m long and carries a current of 98\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  2.631E-01\,\textOmega\ 
    \choice  2.894E-01\,\textOmega\ 
    \choice  3.184E-01\,\textOmega\ 
    \CorrectChoice 3.502E-01\,\textOmega\ 
    \choice  3.852E-01\,\textOmega\ 
\end{choices} %%% end choices

\question Calculate the resistance of a 12-gauge copper wire that is 14\,m long and carries a current of 38\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  5.873E-02\,\textOmega\ 
    \choice  6.460E-02\,\textOmega\ 
    \CorrectChoice 7.106E-02\,\textOmega\ 
    \choice  7.816E-02\,\textOmega\ 
    \choice  8.598E-02\,\textOmega\ 
\end{choices} %%% end choices

\question Calculate the resistance of a 12-gauge copper wire that is 13\,m long and carries a current of 22\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  4.957E-02\,\textOmega\ 
    \choice  5.453E-02\,\textOmega\ 
    \choice  5.998E-02\,\textOmega\ 
    \CorrectChoice 6.598E-02\,\textOmega\ 
    \choice  7.258E-02\,\textOmega\ 
\end{choices} %%% end choices

\question Calculate the resistance of a 12-gauge copper wire that is 48\,m long and carries a current of 50\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  2.215E-01\,\textOmega\ 
    \CorrectChoice 2.436E-01\,\textOmega\ 
    \choice  2.680E-01\,\textOmega\ 
    \choice  2.948E-01\,\textOmega\ 
    \choice  3.243E-01\,\textOmega\ 
\end{choices} %%% end choices

\question Calculate the resistance of a 12-gauge copper wire that is 42\,m long and carries a current of 63\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  1.938E-01\,\textOmega\ 
    \CorrectChoice 2.132E-01\,\textOmega\ 
    \choice  2.345E-01\,\textOmega\ 
    \choice  2.579E-01\,\textOmega\ 
    \choice  2.837E-01\,\textOmega\ 
\end{choices} %%% end choices

\question Calculate the resistance of a 12-gauge copper wire that is 10\,m long and carries a current of 41\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  3.467E-02\,\textOmega\ 
    \choice  3.813E-02\,\textOmega\ 
    \choice  4.195E-02\,\textOmega\ 
    \choice  4.614E-02\,\textOmega\ 
    \CorrectChoice 5.076E-02\,\textOmega\ 
\end{choices} %%% end choices

\question Calculate the resistance of a 12-gauge copper wire that is 10\,m long and carries a current of 69\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  4.614E-02\,\textOmega\ 
    \CorrectChoice 5.076E-02\,\textOmega\ 
    \choice  5.583E-02\,\textOmega\ 
    \choice  6.141E-02\,\textOmega\ 
    \choice  6.756E-02\,\textOmega\ 
\end{choices} %%% end choices

\question Calculate the resistance of a 12-gauge copper wire that is 78\,m long and carries a current of 82\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  2.974E-01\,\textOmega\ 
    \choice  3.272E-01\,\textOmega\ 
    \choice  3.599E-01\,\textOmega\ 
    \CorrectChoice 3.959E-01\,\textOmega\ 
    \choice  4.355E-01\,\textOmega\ 
\end{choices} %%% end choices

\question Calculate the resistance of a 12-gauge copper wire that is 19\,m long and carries a current of 59\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  7.970E-02\,\textOmega\ 
    \choice  8.767E-02\,\textOmega\ 
    \CorrectChoice 9.644E-02\,\textOmega\ 
    \choice  1.061E-01\,\textOmega\ 
    \choice  1.167E-01\,\textOmega\ 
\end{choices} %%% end choices

\question Calculate the resistance of a 12-gauge copper wire that is 90\,m long and carries a current of 34\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  3.432E-01\,\textOmega\ 
    \choice  3.775E-01\,\textOmega\ 
    \choice  4.153E-01\,\textOmega\ 
    \CorrectChoice 4.568E-01\,\textOmega\ 
    \choice  5.025E-01\,\textOmega\ 
\end{choices} %%% end choices

\question Calculate the resistance of a 12-gauge copper wire that is 45\,m long and carries a current of 51\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  1.716E-01\,\textOmega\ 
    \choice  1.888E-01\,\textOmega\ 
    \choice  2.076E-01\,\textOmega\ 
    \CorrectChoice 2.284E-01\,\textOmega\ 
    \choice  2.512E-01\,\textOmega\ 
\end{choices} %%% end choices

\question Calculate the resistance of a 12-gauge copper wire that is 15\,m long and carries a current of 27\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  5.200E-02\,\textOmega\ 
    \choice  5.720E-02\,\textOmega\ 
    \choice  6.292E-02\,\textOmega\ 
    \choice  6.921E-02\,\textOmega\ 
    \CorrectChoice 7.613E-02\,\textOmega\ 
\end{choices} %%% end choices

\question Calculate the resistance of a 12-gauge copper wire that is 11\,m long and carries a current of 94\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  3.813E-02\,\textOmega\ 
    \choice  4.195E-02\,\textOmega\ 
    \choice  4.614E-02\,\textOmega\ 
    \choice  5.076E-02\,\textOmega\ 
    \CorrectChoice 5.583E-02\,\textOmega\ 
\end{choices} %%% end choices

\question Calculate the resistance of a 12-gauge copper wire that is 30\,m long and carries a current of 31\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  1.384E-01\,\textOmega\ 
    \CorrectChoice 1.523E-01\,\textOmega\ 
    \choice  1.675E-01\,\textOmega\ 
    \choice  1.842E-01\,\textOmega\ 
    \choice  2.027E-01\,\textOmega\ 
\end{choices} %%% end choices

\question Calculate the resistance of a 12-gauge copper wire that is 86\,m long and carries a current of 97\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 4.365E-01\,\textOmega\ 
    \choice  4.801E-01\,\textOmega\ 
    \choice  5.282E-01\,\textOmega\ 
    \choice  5.810E-01\,\textOmega\ 
    \choice  6.391E-01\,\textOmega\ 
\end{choices} %%% end choices

\question Calculate the resistance of a 12-gauge copper wire that is 81\,m long and carries a current of 32\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  3.737E-01\,\textOmega\ 
    \CorrectChoice 4.111E-01\,\textOmega\ 
    \choice  4.522E-01\,\textOmega\ 
    \choice  4.975E-01\,\textOmega\ 
    \choice  5.472E-01\,\textOmega\ 
\end{choices} %%% end choices

\question Calculate the resistance of a 12-gauge copper wire that is 59\,m long and carries a current of 26\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 2.995E-01\,\textOmega\ 
    \choice  3.294E-01\,\textOmega\ 
    \choice  3.623E-01\,\textOmega\ 
    \choice  3.986E-01\,\textOmega\ 
    \choice  4.384E-01\,\textOmega\ 
\end{choices} %%% end choices
%\pagebreak
%\end{choices}%??????????????
\end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 7

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

\question Calculate the electric field in a 12-gauge copper wire that is 75\,m long and carries a current of 21\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  7.280E-05\,V/m
    \choice  8.008E-05\,V/m
    \choice  8.809E-05\,V/m
    \choice  9.690E-05\,V/m
    \CorrectChoice 1.066E-04\,V/m
\end{choices} %%% end choices

\question Calculate the electric field in a 12-gauge copper wire that is 78\,m long and carries a current of 24\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.218E-04\,V/m
    \choice  1.340E-04\,V/m
    \choice  1.474E-04\,V/m
    \choice  1.621E-04\,V/m
    \choice  1.783E-04\,V/m
\end{choices} %%% end choices

\question Calculate the electric field in a 12-gauge copper wire that is 23\,m long and carries a current of 64\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  2.953E-04\,V/m
    \CorrectChoice 3.248E-04\,V/m
    \choice  3.573E-04\,V/m
    \choice  3.930E-04\,V/m
    \choice  4.324E-04\,V/m
\end{choices} %%% end choices

\question Calculate the electric field in a 12-gauge copper wire that is 13\,m long and carries a current of 59\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  2.250E-04\,V/m
    \choice  2.475E-04\,V/m
    \choice  2.722E-04\,V/m
    \CorrectChoice 2.995E-04\,V/m
    \choice  3.294E-04\,V/m
\end{choices} %%% end choices

\question Calculate the electric field in a 12-gauge copper wire that is 26\,m long and carries a current of 24\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  9.152E-05\,V/m
    \choice  1.007E-04\,V/m
    \choice  1.107E-04\,V/m
    \CorrectChoice 1.218E-04\,V/m
    \choice  1.340E-04\,V/m
\end{choices} %%% end choices

\question Calculate the electric field in a 12-gauge copper wire that is 62\,m long and carries a current of 52\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  1.983E-04\,V/m
    \choice  2.181E-04\,V/m
    \choice  2.399E-04\,V/m
    \CorrectChoice 2.639E-04\,V/m
    \choice  2.903E-04\,V/m
\end{choices} %%% end choices

\question Calculate the electric field in a 12-gauge copper wire that is 21\,m long and carries a current of 42\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  1.602E-04\,V/m
    \choice  1.762E-04\,V/m
    \choice  1.938E-04\,V/m
    \CorrectChoice 2.132E-04\,V/m
    \choice  2.345E-04\,V/m
\end{choices} %%% end choices

\question Calculate the electric field in a 12-gauge copper wire that is 17\,m long and carries a current of 56\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  1.941E-04\,V/m
    \choice  2.135E-04\,V/m
    \choice  2.349E-04\,V/m
    \choice  2.584E-04\,V/m
    \CorrectChoice 2.842E-04\,V/m
\end{choices} %%% end choices

\question Calculate the electric field in a 12-gauge copper wire that is 25\,m long and carries a current of 43\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 2.182E-04\,V/m
    \choice  2.401E-04\,V/m
    \choice  2.641E-04\,V/m
    \choice  2.905E-04\,V/m
    \choice  3.195E-04\,V/m
\end{choices} %%% end choices

\question Calculate the electric field in a 12-gauge copper wire that is 64\,m long and carries a current of 76\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  2.635E-04\,V/m
    \choice  2.898E-04\,V/m
    \choice  3.188E-04\,V/m
    \choice  3.507E-04\,V/m
    \CorrectChoice 3.857E-04\,V/m
\end{choices} %%% end choices

\question Calculate the electric field in a 12-gauge copper wire that is 18\,m long and carries a current of 22\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.117E-04\,V/m
    \choice  1.228E-04\,V/m
    \choice  1.351E-04\,V/m
    \choice  1.486E-04\,V/m
    \choice  1.635E-04\,V/m
\end{choices} %%% end choices

\question Calculate the electric field in a 12-gauge copper wire that is 16\,m long and carries a current of 58\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  2.212E-04\,V/m
    \choice  2.433E-04\,V/m
    \choice  2.676E-04\,V/m
    \CorrectChoice 2.944E-04\,V/m
    \choice  3.238E-04\,V/m
\end{choices} %%% end choices

\question Calculate the electric field in a 12-gauge copper wire that is 99\,m long and carries a current of 71\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 3.604E-04\,V/m
    \choice  3.964E-04\,V/m
    \choice  4.360E-04\,V/m
    \choice  4.796E-04\,V/m
    \choice  5.276E-04\,V/m
\end{choices} %%% end choices

\question Calculate the electric field in a 12-gauge copper wire that is 44\,m long and carries a current of 78\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  2.704E-04\,V/m
    \choice  2.974E-04\,V/m
    \choice  3.272E-04\,V/m
    \choice  3.599E-04\,V/m
    \CorrectChoice 3.959E-04\,V/m
\end{choices} %%% end choices

\question Calculate the electric field in a 12-gauge copper wire that is 48\,m long and carries a current of 63\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 3.198E-04\,V/m
    \choice  3.517E-04\,V/m
    \choice  3.869E-04\,V/m
    \choice  4.256E-04\,V/m
    \choice  4.682E-04\,V/m
\end{choices} %%% end choices

\question Calculate the electric field in a 12-gauge copper wire that is 84\,m long and carries a current of 48\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  1.664E-04\,V/m
    \choice  1.830E-04\,V/m
    \choice  2.013E-04\,V/m
    \choice  2.215E-04\,V/m
    \CorrectChoice 2.436E-04\,V/m
\end{choices} %%% end choices

\question Calculate the electric field in a 12-gauge copper wire that is 56\,m long and carries a current of 81\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 4.111E-04\,V/m
    \choice  4.522E-04\,V/m
    \choice  4.975E-04\,V/m
    \choice  5.472E-04\,V/m
    \choice  6.019E-04\,V/m
\end{choices} %%% end choices

\question Calculate the electric field in a 12-gauge copper wire that is 15\,m long and carries a current of 85\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \choice  2.947E-04\,V/m
    \choice  3.241E-04\,V/m
    \choice  3.565E-04\,V/m
    \choice  3.922E-04\,V/m
    \CorrectChoice 4.314E-04\,V/m
\end{choices} %%% end choices

\question Calculate the electric field in a 12-gauge copper wire that is 41\,m long and carries a current of 71\,mA.  The resistivity of copper is 1.680E-08\,\textOmega\ \(\cdot\) m and 12-gauge wire as a cross-sectional area of 3.31\,mm\textsuperscript{2}.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 3.604E-04\,V/m
    \choice  3.964E-04\,V/m
    \choice  4.360E-04\,V/m
    \choice  4.796E-04\,V/m
    \choice  5.276E-04\,V/m
\end{choices} %%% end choices
%\pagebreak
%\end{choices}%??????????????
\end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 8

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

\question Imagine a substance could be made into a very hot filament. Suppose the resitance is 2.14\,\textOmega\  at a temperature of 77\(^\circ\)C and that the temperature coefficient of expansion is 4.750E-03\,(\(^\circ\)C)\textsuperscript{-1}). What is the resistance at a temperature of 542\,\(^\circ\)C?
\begin{choices} %%%%%%% begin choices
    \choice  6.540E+00\,\textOmega\ 
    \CorrectChoice 6.867E+00\,\textOmega\ 
    \choice  7.210E+00\,\textOmega\ 
    \choice  7.571E+00\,\textOmega\ 
    \choice  7.949E+00\,\textOmega\ 
\end{choices} %%% end choices

\question Imagine a substance could be made into a very hot filament. Suppose the resitance is 6.74\,\textOmega\  at a temperature of 89\(^\circ\)C and that the temperature coefficient of expansion is 4.990E-03\,(\(^\circ\)C)\textsuperscript{-1}). What is the resistance at a temperature of 366\,\(^\circ\)C?
\begin{choices} %%%%%%% begin choices
    \choice  1.529E+01\,\textOmega\ 
    \CorrectChoice 1.606E+01\,\textOmega\ 
    \choice  1.686E+01\,\textOmega\ 
    \choice  1.770E+01\,\textOmega\ 
    \choice  1.859E+01\,\textOmega\ 
\end{choices} %%% end choices

\question Imagine a substance could be made into a very hot filament. Suppose the resitance is 3.58\,\textOmega\  at a temperature of 24\(^\circ\)C and that the temperature coefficient of expansion is 5.520E-03\,(\(^\circ\)C)\textsuperscript{-1}). What is the resistance at a temperature of 349\,\(^\circ\)C?
\begin{choices} %%%%%%% begin choices
    \choice  9.526E+00\,\textOmega\ 
    \CorrectChoice 1.000E+01\,\textOmega\ 
    \choice  1.050E+01\,\textOmega\ 
    \choice  1.103E+01\,\textOmega\ 
    \choice  1.158E+01\,\textOmega\ 
\end{choices} %%% end choices

\question Imagine a substance could be made into a very hot filament. Suppose the resitance is 5.89\,\textOmega\  at a temperature of 43\(^\circ\)C and that the temperature coefficient of expansion is 4.400E-03\,(\(^\circ\)C)\textsuperscript{-1}). What is the resistance at a temperature of 398\,\(^\circ\)C?
\begin{choices} %%%%%%% begin choices
    \choice  1.369E+01\,\textOmega\ 
    \choice  1.437E+01\,\textOmega\ 
    \CorrectChoice 1.509E+01\,\textOmega\ 
    \choice  1.584E+01\,\textOmega\ 
    \choice  1.664E+01\,\textOmega\ 
\end{choices} %%% end choices

\question Imagine a substance could be made into a very hot filament. Suppose the resitance is 5.73\,\textOmega\  at a temperature of 99\(^\circ\)C and that the temperature coefficient of expansion is 5.260E-03\,(\(^\circ\)C)\textsuperscript{-1}). What is the resistance at a temperature of 420\,\(^\circ\)C?
\begin{choices} %%%%%%% begin choices
    \choice  1.267E+01\,\textOmega\ 
    \choice  1.331E+01\,\textOmega\ 
    \choice  1.397E+01\,\textOmega\ 
    \choice  1.467E+01\,\textOmega\ 
    \CorrectChoice 1.540E+01\,\textOmega\ 
\end{choices} %%% end choices

\question Imagine a substance could be made into a very hot filament. Suppose the resitance is 4.08\,\textOmega\  at a temperature of 26\(^\circ\)C and that the temperature coefficient of expansion is 4.800E-03\,(\(^\circ\)C)\textsuperscript{-1}). What is the resistance at a temperature of 388\,\(^\circ\)C?
\begin{choices} %%%%%%% begin choices
    \choice  1.064E+01\,\textOmega\ 
    \CorrectChoice 1.117E+01\,\textOmega\ 
    \choice  1.173E+01\,\textOmega\ 
    \choice  1.231E+01\,\textOmega\ 
    \choice  1.293E+01\,\textOmega\ 
\end{choices} %%% end choices

\question Imagine a substance could be made into a very hot filament. Suppose the resitance is 2.94\,\textOmega\  at a temperature of 30\(^\circ\)C and that the temperature coefficient of expansion is 5.900E-03\,(\(^\circ\)C)\textsuperscript{-1}). What is the resistance at a temperature of 445\,\(^\circ\)C?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.014E+01\,\textOmega\ 
    \choice  1.065E+01\,\textOmega\ 
    \choice  1.118E+01\,\textOmega\ 
    \choice  1.174E+01\,\textOmega\ 
    \choice  1.232E+01\,\textOmega\ 
\end{choices} %%% end choices

\question Imagine a substance could be made into a very hot filament. Suppose the resitance is 2.89\,\textOmega\  at a temperature of 89\(^\circ\)C and that the temperature coefficient of expansion is 5.340E-03\,(\(^\circ\)C)\textsuperscript{-1}). What is the resistance at a temperature of 566\,\(^\circ\)C?
\begin{choices} %%%%%%% begin choices
    \choice  9.763E+00\,\textOmega\ 
    \CorrectChoice 1.025E+01\,\textOmega\ 
    \choice  1.076E+01\,\textOmega\ 
    \choice  1.130E+01\,\textOmega\ 
    \choice  1.187E+01\,\textOmega\ 
\end{choices} %%% end choices

\question Imagine a substance could be made into a very hot filament. Suppose the resitance is 5.88\,\textOmega\  at a temperature of 87\(^\circ\)C and that the temperature coefficient of expansion is 5.290E-03\,(\(^\circ\)C)\textsuperscript{-1}). What is the resistance at a temperature of 547\,\(^\circ\)C?
\begin{choices} %%%%%%% begin choices
    \choice  1.831E+01\,\textOmega\ 
    \choice  1.923E+01\,\textOmega\ 
    \CorrectChoice 2.019E+01\,\textOmega\ 
    \choice  2.120E+01\,\textOmega\ 
    \choice  2.226E+01\,\textOmega\ 
\end{choices} %%% end choices

\question Imagine a substance could be made into a very hot filament. Suppose the resitance is 1.56\,\textOmega\  at a temperature of 97\(^\circ\)C and that the temperature coefficient of expansion is 5.020E-03\,(\(^\circ\)C)\textsuperscript{-1}). What is the resistance at a temperature of 340\,\(^\circ\)C?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 3.463E+00\,\textOmega\ 
    \choice  3.636E+00\,\textOmega\ 
    \choice  3.818E+00\,\textOmega\ 
    \choice  4.009E+00\,\textOmega\ 
    \choice  4.209E+00\,\textOmega\ 
\end{choices} %%% end choices

\question Imagine a substance could be made into a very hot filament. Suppose the resitance is 2.61\,\textOmega\  at a temperature of 92\(^\circ\)C and that the temperature coefficient of expansion is 4.260E-03\,(\(^\circ\)C)\textsuperscript{-1}). What is the resistance at a temperature of 422\,\(^\circ\)C?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 6.279E+00\,\textOmega\ 
    \choice  6.593E+00\,\textOmega\ 
    \choice  6.923E+00\,\textOmega\ 
    \choice  7.269E+00\,\textOmega\ 
    \choice  7.632E+00\,\textOmega\ 
\end{choices} %%% end choices

\question Imagine a substance could be made into a very hot filament. Suppose the resitance is 4.48\,\textOmega\  at a temperature of 56\(^\circ\)C and that the temperature coefficient of expansion is 4.550E-03\,(\(^\circ\)C)\textsuperscript{-1}). What is the resistance at a temperature of 449\,\(^\circ\)C?
\begin{choices} %%%%%%% begin choices
    \choice  1.028E+01\,\textOmega\ 
    \choice  1.079E+01\,\textOmega\ 
    \choice  1.133E+01\,\textOmega\ 
    \choice  1.190E+01\,\textOmega\ 
    \CorrectChoice 1.249E+01\,\textOmega\ 
\end{choices} %%% end choices

\question Imagine a substance could be made into a very hot filament. Suppose the resitance is 1.98\,\textOmega\  at a temperature of 92\(^\circ\)C and that the temperature coefficient of expansion is 5.080E-03\,(\(^\circ\)C)\textsuperscript{-1}). What is the resistance at a temperature of 455\,\(^\circ\)C?
\begin{choices} %%%%%%% begin choices
    \choice  5.363E+00\,\textOmega\ 
    \CorrectChoice 5.631E+00\,\textOmega\ 
    \choice  5.913E+00\,\textOmega\ 
    \choice  6.208E+00\,\textOmega\ 
    \choice  6.519E+00\,\textOmega\ 
\end{choices} %%% end choices

\question Imagine a substance could be made into a very hot filament. Suppose the resitance is 6.06\,\textOmega\  at a temperature of 80\(^\circ\)C and that the temperature coefficient of expansion is 4.290E-03\,(\(^\circ\)C)\textsuperscript{-1}). What is the resistance at a temperature of 330\,\(^\circ\)C?
\begin{choices} %%%%%%% begin choices
    \choice  1.196E+01\,\textOmega\ 
    \CorrectChoice 1.256E+01\,\textOmega\ 
    \choice  1.319E+01\,\textOmega\ 
    \choice  1.385E+01\,\textOmega\ 
    \choice  1.454E+01\,\textOmega\ 
\end{choices} %%% end choices

\question Imagine a substance could be made into a very hot filament. Suppose the resitance is 1.95\,\textOmega\  at a temperature of 96\(^\circ\)C and that the temperature coefficient of expansion is 4.400E-03\,(\(^\circ\)C)\textsuperscript{-1}). What is the resistance at a temperature of 469\,\(^\circ\)C?
\begin{choices} %%%%%%% begin choices
    \choice  4.449E+00\,\textOmega\ 
    \choice  4.672E+00\,\textOmega\ 
    \choice  4.905E+00\,\textOmega\ 
    \CorrectChoice 5.150E+00\,\textOmega\ 
    \choice  5.408E+00\,\textOmega\ 
\end{choices} %%% end choices

\question Imagine a substance could be made into a very hot filament. Suppose the resitance is 3.64\,\textOmega\  at a temperature of 82\(^\circ\)C and that the temperature coefficient of expansion is 4.530E-03\,(\(^\circ\)C)\textsuperscript{-1}). What is the resistance at a temperature of 390\,\(^\circ\)C?
\begin{choices} %%%%%%% begin choices
    \choice  7.532E+00\,\textOmega\ 
    \choice  7.908E+00\,\textOmega\ 
    \choice  8.303E+00\,\textOmega\ 
    \CorrectChoice 8.719E+00\,\textOmega\ 
    \choice  9.155E+00\,\textOmega\ 
\end{choices} %%% end choices

\question Imagine a substance could be made into a very hot filament. Suppose the resitance is 5.94\,\textOmega\  at a temperature of 70\(^\circ\)C and that the temperature coefficient of expansion is 5.120E-03\,(\(^\circ\)C)\textsuperscript{-1}). What is the resistance at a temperature of 386\,\(^\circ\)C?
\begin{choices} %%%%%%% begin choices
    \choice  1.279E+01\,\textOmega\ 
    \choice  1.343E+01\,\textOmega\ 
    \choice  1.410E+01\,\textOmega\ 
    \choice  1.481E+01\,\textOmega\ 
    \CorrectChoice 1.555E+01\,\textOmega\ 
\end{choices} %%% end choices

\question Imagine a substance could be made into a very hot filament. Suppose the resitance is 3.75\,\textOmega\  at a temperature of 24\(^\circ\)C and that the temperature coefficient of expansion is 4.300E-03\,(\(^\circ\)C)\textsuperscript{-1}). What is the resistance at a temperature of 423\,\(^\circ\)C?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.018E+01\,\textOmega\ 
    \choice  1.069E+01\,\textOmega\ 
    \choice  1.123E+01\,\textOmega\ 
    \choice  1.179E+01\,\textOmega\ 
    \choice  1.238E+01\,\textOmega\ 
\end{choices} %%% end choices

\question Imagine a substance could be made into a very hot filament. Suppose the resitance is 1.52\,\textOmega\  at a temperature of 45\(^\circ\)C and that the temperature coefficient of expansion is 4.330E-03\,(\(^\circ\)C)\textsuperscript{-1}). What is the resistance at a temperature of 479\,\(^\circ\)C?
\begin{choices} %%%%%%% begin choices
    \choice  3.970E+00\,\textOmega\ 
    \choice  4.168E+00\,\textOmega\ 
    \CorrectChoice 4.376E+00\,\textOmega\ 
    \choice  4.595E+00\,\textOmega\ 
    \choice  4.825E+00\,\textOmega\ 
\end{choices} %%% end choices
%\pagebreak
%\end{choices}%??????????????
\end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 9

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

\question A DC winch moter draws 31\,amps at 191\,volts as it lifts a 5.080E+03\,N weight at a constant speed of 0.99\,m/s.  Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.
\begin{choices} %%%%%%% begin choices
    \choice  6.972E-01\,\textOmega\ 
    \choice  7.669E-01\,\textOmega\ 
    \choice  8.436E-01\,\textOmega\ 
    \CorrectChoice 9.280E-01\,\textOmega\ 
    \choice  1.021E+00\,\textOmega\ 
\end{choices} %%% end choices

\question A DC winch moter draws 23\,amps at 196\,volts as it lifts a 4.870E+03\,N weight at a constant speed of 0.731\,m/s.  Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.
\begin{choices} %%%%%%% begin choices
    \choice  1.346E+00\,\textOmega\ 
    \choice  1.481E+00\,\textOmega\ 
    \choice  1.629E+00\,\textOmega\ 
    \CorrectChoice 1.792E+00\,\textOmega\ 
    \choice  1.971E+00\,\textOmega\ 
\end{choices} %%% end choices

\question A DC winch moter draws 26\,amps at 177\,volts as it lifts a 4.820E+03\,N weight at a constant speed of 0.696\,m/s.  Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.
\begin{choices} %%%%%%% begin choices
    \choice  1.677E+00\,\textOmega\ 
    \CorrectChoice 1.845E+00\,\textOmega\ 
    \choice  2.030E+00\,\textOmega\ 
    \choice  2.233E+00\,\textOmega\ 
    \choice  2.456E+00\,\textOmega\ 
\end{choices} %%% end choices

\question A DC winch moter draws 20\,amps at 157\,volts as it lifts a 5.270E+03\,N weight at a constant speed of 0.403\,m/s.  Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 2.540E+00\,\textOmega\ 
    \choice  2.795E+00\,\textOmega\ 
    \choice  3.074E+00\,\textOmega\ 
    \choice  3.381E+00\,\textOmega\ 
    \choice  3.720E+00\,\textOmega\ 
\end{choices} %%% end choices

\question A DC winch moter draws 29\,amps at 153\,volts as it lifts a 4.780E+03\,N weight at a constant speed of 0.691\,m/s.  Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.
\begin{choices} %%%%%%% begin choices
    \choice  1.226E+00\,\textOmega\ 
    \CorrectChoice 1.348E+00\,\textOmega\ 
    \choice  1.483E+00\,\textOmega\ 
    \choice  1.632E+00\,\textOmega\ 
    \choice  1.795E+00\,\textOmega\ 
\end{choices} %%% end choices

\question A DC winch moter draws 26\,amps at 153\,volts as it lifts a 4.100E+03\,N weight at a constant speed of 0.609\,m/s.  Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 2.191E+00\,\textOmega\ 
    \choice  2.410E+00\,\textOmega\ 
    \choice  2.651E+00\,\textOmega\ 
    \choice  2.916E+00\,\textOmega\ 
    \choice  3.208E+00\,\textOmega\ 
\end{choices} %%% end choices

\question A DC winch moter draws 20\,amps at 169\,volts as it lifts a 5.120E+03\,N weight at a constant speed of 0.543\,m/s.  Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.500E+00\,\textOmega\ 
    \choice  1.650E+00\,\textOmega\ 
    \choice  1.815E+00\,\textOmega\ 
    \choice  1.996E+00\,\textOmega\ 
    \choice  2.196E+00\,\textOmega\ 
\end{choices} %%% end choices

\question A DC winch moter draws 25\,amps at 128\,volts as it lifts a 5.710E+03\,N weight at a constant speed of 0.449\,m/s.  Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.
\begin{choices} %%%%%%% begin choices
    \choice  8.413E-01\,\textOmega\ 
    \choice  9.254E-01\,\textOmega\ 
    \CorrectChoice 1.018E+00\,\textOmega\ 
    \choice  1.120E+00\,\textOmega\ 
    \choice  1.232E+00\,\textOmega\ 
\end{choices} %%% end choices

\question A DC winch moter draws 19\,amps at 175\,volts as it lifts a 4.230E+03\,N weight at a constant speed of 0.483\,m/s.  Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 3.551E+00\,\textOmega\ 
    \choice  3.906E+00\,\textOmega\ 
    \choice  4.297E+00\,\textOmega\ 
    \choice  4.726E+00\,\textOmega\ 
    \choice  5.199E+00\,\textOmega\ 
\end{choices} %%% end choices

\question A DC winch moter draws 24\,amps at 159\,volts as it lifts a 4.120E+03\,N weight at a constant speed of 0.657\,m/s.  Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.
\begin{choices} %%%%%%% begin choices
    \choice  1.447E+00\,\textOmega\ 
    \choice  1.591E+00\,\textOmega\ 
    \choice  1.751E+00\,\textOmega\ 
    \CorrectChoice 1.926E+00\,\textOmega\ 
    \choice  2.118E+00\,\textOmega\ 
\end{choices} %%% end choices

\question A DC winch moter draws 27\,amps at 190\,volts as it lifts a 4.910E+03\,N weight at a constant speed of 0.769\,m/s.  Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.
\begin{choices} %%%%%%% begin choices
    \choice  1.396E+00\,\textOmega\ 
    \choice  1.535E+00\,\textOmega\ 
    \choice  1.689E+00\,\textOmega\ 
    \CorrectChoice 1.858E+00\,\textOmega\ 
    \choice  2.043E+00\,\textOmega\ 
\end{choices} %%% end choices

\question A DC winch moter draws 20\,amps at 175\,volts as it lifts a 5.180E+03\,N weight at a constant speed of 0.541\,m/s.  Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.744E+00\,\textOmega\ 
    \choice  1.918E+00\,\textOmega\ 
    \choice  2.110E+00\,\textOmega\ 
    \choice  2.321E+00\,\textOmega\ 
    \choice  2.553E+00\,\textOmega\ 
\end{choices} %%% end choices

\question A DC winch moter draws 23\,amps at 170\,volts as it lifts a 5.200E+03\,N weight at a constant speed of 0.662\,m/s.  Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.
\begin{choices} %%%%%%% begin choices
    \choice  7.305E-01\,\textOmega\ 
    \choice  8.036E-01\,\textOmega\ 
    \CorrectChoice 8.839E-01\,\textOmega\ 
    \choice  9.723E-01\,\textOmega\ 
    \choice  1.070E+00\,\textOmega\ 
\end{choices} %%% end choices

\question A DC winch moter draws 27\,amps at 143\,volts as it lifts a 5.060E+03\,N weight at a constant speed of 0.623\,m/s.  Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.
\begin{choices} %%%%%%% begin choices
    \choice  8.033E-01\,\textOmega\ 
    \choice  8.837E-01\,\textOmega\ 
    \CorrectChoice 9.720E-01\,\textOmega\ 
    \choice  1.069E+00\,\textOmega\ 
    \choice  1.176E+00\,\textOmega\ 
\end{choices} %%% end choices

\question A DC winch moter draws 17\,amps at 187\,volts as it lifts a 5.600E+03\,N weight at a constant speed of 0.381\,m/s.  Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.
\begin{choices} %%%%%%% begin choices
    \choice  2.471E+00\,\textOmega\ 
    \choice  2.718E+00\,\textOmega\ 
    \choice  2.990E+00\,\textOmega\ 
    \choice  3.288E+00\,\textOmega\ 
    \CorrectChoice 3.617E+00\,\textOmega\ 
\end{choices} %%% end choices

\question A DC winch moter draws 12\,amps at 129\,volts as it lifts a 4.210E+03\,N weight at a constant speed of 0.318\,m/s.  Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.
\begin{choices} %%%%%%% begin choices
    \choice  9.924E-01\,\textOmega\ 
    \choice  1.092E+00\,\textOmega\ 
    \choice  1.201E+00\,\textOmega\ 
    \choice  1.321E+00\,\textOmega\ 
    \CorrectChoice 1.453E+00\,\textOmega\ 
\end{choices} %%% end choices

\question A DC winch moter draws 25\,amps at 119\,volts as it lifts a 4.730E+03\,N weight at a constant speed of 0.47\,m/s.  Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.
\begin{choices} %%%%%%% begin choices
    \choice  1.094E+00\,\textOmega\ 
    \CorrectChoice 1.203E+00\,\textOmega\ 
    \choice  1.323E+00\,\textOmega\ 
    \choice  1.456E+00\,\textOmega\ 
    \choice  1.601E+00\,\textOmega\ 
\end{choices} %%% end choices

\question A DC winch moter draws 18\,amps at 126\,volts as it lifts a 5.830E+03\,N weight at a constant speed of 0.26\,m/s.  Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.
\begin{choices} %%%%%%% begin choices
    \choice  1.919E+00\,\textOmega\ 
    \choice  2.111E+00\,\textOmega\ 
    \CorrectChoice 2.322E+00\,\textOmega\ 
    \choice  2.554E+00\,\textOmega\ 
    \choice  2.809E+00\,\textOmega\ 
\end{choices} %%% end choices

\question A DC winch moter draws 13\,amps at 159\,volts as it lifts a 4.270E+03\,N weight at a constant speed of 0.357\,m/s.  Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 3.211E+00\,\textOmega\ 
    \choice  3.532E+00\,\textOmega\ 
    \choice  3.885E+00\,\textOmega\ 
    \choice  4.273E+00\,\textOmega\ 
    \choice  4.701E+00\,\textOmega\ 
\end{choices} %%% end choices
%\pagebreak
%\end{choices}%??????????????
\end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 10

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

\question What is consumer cost to operate one 77-W incandescent bulb for 12\,hours per day for 1 year (365 days) if the cost of electricity is \$0.134 per kilowatt-hour?
\begin{choices} %%%%%%% begin choices
    \choice  \$3.087E+01 
    \choice  \$3.395E+01 
    \choice  \$3.735E+01 
    \choice  \$4.108E+01 
    \CorrectChoice \$4.519E+01 
\end{choices} %%% end choices

\question What is consumer cost to operate one 102-W incandescent bulb for 6\,hours per day for 1 year (365 days) if the cost of electricity is \$0.127 per kilowatt-hour?
\begin{choices} %%%%%%% begin choices
    \choice  \$2.131E+01 
    \choice  \$2.345E+01 
    \choice  \$2.579E+01 
    \CorrectChoice \$2.837E+01 
    \choice  \$3.121E+01 
\end{choices} %%% end choices

\question What is consumer cost to operate one 65-W incandescent bulb for 12\,hours per day for 1 year (365 days) if the cost of electricity is \$0.134 per kilowatt-hour?
\begin{choices} %%%%%%% begin choices
    \choice  \$2.866E+01 
    \choice  \$3.153E+01 
    \choice  \$3.468E+01 
    \CorrectChoice \$3.815E+01 
    \choice  \$4.196E+01 
\end{choices} %%% end choices

\question What is consumer cost to operate one 89-W incandescent bulb for 10\,hours per day for 1 year (365 days) if the cost of electricity is \$0.141 per kilowatt-hour?
\begin{choices} %%%%%%% begin choices
    \choice  \$3.785E+01 
    \choice  \$4.164E+01 
    \CorrectChoice \$4.580E+01 
    \choice  \$5.038E+01 
    \choice  \$5.542E+01 
\end{choices} %%% end choices

\question What is consumer cost to operate one 87-W incandescent bulb for 11\,hours per day for 1 year (365 days) if the cost of electricity is \$0.117 per kilowatt-hour?
\begin{choices} %%%%%%% begin choices
    \choice  \$2.791E+01 
    \choice  \$3.071E+01 
    \choice  \$3.378E+01 
    \choice  \$3.715E+01 
    \CorrectChoice \$4.087E+01 
\end{choices} %%% end choices

\question What is consumer cost to operate one 73-W incandescent bulb for 11\,hours per day for 1 year (365 days) if the cost of electricity is \$0.113 per kilowatt-hour?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice \$3.312E+01 
    \choice  \$3.643E+01 
    \choice  \$4.007E+01 
    \choice  \$4.408E+01 
    \choice  \$4.849E+01 
\end{choices} %%% end choices

\question What is consumer cost to operate one 57-W incandescent bulb for 11\,hours per day for 1 year (365 days) if the cost of electricity is \$0.146 per kilowatt-hour?
\begin{choices} %%%%%%% begin choices
    \choice  \$2.282E+01 
    \choice  \$2.510E+01 
    \choice  \$2.761E+01 
    \choice  \$3.038E+01 
    \CorrectChoice \$3.341E+01 
\end{choices} %%% end choices

\question What is consumer cost to operate one 74-W incandescent bulb for 9\,hours per day for 1 year (365 days) if the cost of electricity is \$0.119 per kilowatt-hour?
\begin{choices} %%%%%%% begin choices
    \choice  \$1.976E+01 
    \choice  \$2.173E+01 
    \choice  \$2.391E+01 
    \choice  \$2.630E+01 
    \CorrectChoice \$2.893E+01 
\end{choices} %%% end choices

\question What is consumer cost to operate one 91-W incandescent bulb for 10\,hours per day for 1 year (365 days) if the cost of electricity is \$0.131 per kilowatt-hour?
\begin{choices} %%%%%%% begin choices
    \choice  \$2.972E+01 
    \choice  \$3.269E+01 
    \choice  \$3.596E+01 
    \choice  \$3.956E+01 
    \CorrectChoice \$4.351E+01 
\end{choices} %%% end choices

\question What is consumer cost to operate one 56-W incandescent bulb for 6\,hours per day for 1 year (365 days) if the cost of electricity is \$0.13 per kilowatt-hour?
\begin{choices} %%%%%%% begin choices
    \choice  \$1.198E+01 
    \choice  \$1.318E+01 
    \choice  \$1.449E+01 
    \CorrectChoice \$1.594E+01 
    \choice  \$1.754E+01 
\end{choices} %%% end choices

\question What is consumer cost to operate one 59-W incandescent bulb for 10\,hours per day for 1 year (365 days) if the cost of electricity is \$0.132 per kilowatt-hour?
\begin{choices} %%%%%%% begin choices
    \choice  \$2.584E+01 
    \CorrectChoice \$2.843E+01 
    \choice  \$3.127E+01 
    \choice  \$3.440E+01 
    \choice  \$3.784E+01 
\end{choices} %%% end choices

\question What is consumer cost to operate one 79-W incandescent bulb for 9\,hours per day for 1 year (365 days) if the cost of electricity is \$0.142 per kilowatt-hour?
\begin{choices} %%%%%%% begin choices
    \choice  \$2.517E+01 
    \choice  \$2.769E+01 
    \choice  \$3.046E+01 
    \choice  \$3.350E+01 
    \CorrectChoice \$3.685E+01 
\end{choices} %%% end choices

\question What is consumer cost to operate one 115-W incandescent bulb for 12\,hours per day for 1 year (365 days) if the cost of electricity is \$0.128 per kilowatt-hour?
\begin{choices} %%%%%%% begin choices
    \choice  \$5.328E+01 
    \choice  \$5.861E+01 
    \CorrectChoice \$6.447E+01 
    \choice  \$7.092E+01 
    \choice  \$7.801E+01 
\end{choices} %%% end choices

\question What is consumer cost to operate one 102-W incandescent bulb for 5\,hours per day for 1 year (365 days) if the cost of electricity is \$0.149 per kilowatt-hour?
\begin{choices} %%%%%%% begin choices
    \choice  \$2.292E+01 
    \choice  \$2.521E+01 
    \CorrectChoice \$2.774E+01 
    \choice  \$3.051E+01 
    \choice  \$3.356E+01 
\end{choices} %%% end choices

\question What is consumer cost to operate one 77-W incandescent bulb for 12\,hours per day for 1 year (365 days) if the cost of electricity is \$0.124 per kilowatt-hour?
\begin{choices} %%%%%%% begin choices
    \choice  \$3.142E+01 
    \choice  \$3.456E+01 
    \choice  \$3.802E+01 
    \CorrectChoice \$4.182E+01 
    \choice  \$4.600E+01 
\end{choices} %%% end choices

\question What is consumer cost to operate one 76-W incandescent bulb for 9\,hours per day for 1 year (365 days) if the cost of electricity is \$0.144 per kilowatt-hour?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice \$3.595E+01 
    \choice  \$3.955E+01 
    \choice  \$4.350E+01 
    \choice  \$4.785E+01 
    \choice  \$5.264E+01 
\end{choices} %%% end choices

\question What is consumer cost to operate one 104-W incandescent bulb for 6\,hours per day for 1 year (365 days) if the cost of electricity is \$0.136 per kilowatt-hour?
\begin{choices} %%%%%%% begin choices
    \choice  \$2.116E+01 
    \choice  \$2.327E+01 
    \choice  \$2.560E+01 
    \choice  \$2.816E+01 
    \CorrectChoice \$3.098E+01 
\end{choices} %%% end choices

\question What is consumer cost to operate one 69-W incandescent bulb for 7\,hours per day for 1 year (365 days) if the cost of electricity is \$0.117 per kilowatt-hour?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice \$2.063E+01 
    \choice  \$2.269E+01 
    \choice  \$2.496E+01 
    \choice  \$2.745E+01 
    \choice  \$3.020E+01 
\end{choices} %%% end choices

\question What is consumer cost to operate one 105-W incandescent bulb for 11\,hours per day for 1 year (365 days) if the cost of electricity is \$0.131 per kilowatt-hour?
\begin{choices} %%%%%%% begin choices
    \choice  \$5.021E+01 
    \CorrectChoice \$5.523E+01 
    \choice  \$6.075E+01 
    \choice  \$6.682E+01 
    \choice  \$7.351E+01 
\end{choices} %%% end choices
\end{questions}
\pagebreak

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

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