QB/d cp2.7

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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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Equations     -

See special:permalink/1893815 for a wikitext version of this quiz.

LaTexMarkup begin[edit]

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%CurrentID: - %PDF: File:Quizbankqb_d cp2.7.pdf%Required images: Wikiversity-logo-en.svg Four charges at corners of rectangle.svg Electron Gun with Wehnelt Cylinder.svg Bandgenerator cropped.svg VFPt dipole electric manylines cropped.svg

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%%%    EDIT QUIZ INFO  HERE   %%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%% PREAMBLE%%%%%%%%%%%%
\newif\ifkey %estabkishes Boolean ifkey to turn on and off endnotes

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\title{d\_cp2.7}
\author{The LaTex code that creates this quiz is released to the Public Domain\\
Attribution for each question is documented in the Appendix}
\maketitle
\begin{center}                                                                                
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\begin{questions}
\question A 3\,C charge is separated from a 5\,C charge by  distance of 10\,cm.  What is the work done by increasing this separation to 15\,cm?\ifkey\endnote{Example 7.1 from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:IsSbgvaG@4/71-Electric-Potential-Energy\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1893815}}}\fi
 \begin{choices}
  \CorrectChoice 4.494E-07\,J
  \choice 4.943E-07\,J
  \choice 5.437E-07\,J
  \choice 5.981E-07\,J
  \choice 6.579E-07\,J
\end{choices}

\question 
    \includegraphics[width=0.09\textwidth]{FourChargesatcornersofrectangle.png}Four charges lie at the corners of a  1\,cm by 1\,cm square as shown (i.e., ''a''=''b''=1\,cm.)  The charges are q\textsubscript{1}=2\,\textmu\ C, q\textsubscript{2}=3\,\textmu\ C, q\textsubscript{3}=4\,\textmu\ C, and q\textsubscript{4}=5\,\textmu\ C. How much work was required to assemble these four charges from infinity?\ifkey\endnote{Example 7.3 from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:IsSbgvaG@4/71-Electric-Potential-Energy\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1893815}}}\fi
 \begin{choices}
  \choice 3.945E+01\,J
  \choice 4.339E+01\,J
  \choice 4.773E+01\,J
  \choice 5.251E+01\,J
  \CorrectChoice 5.776E+01\,J
\end{choices}

\question A 12.0 V battery can move 5,000\,C of charge. How many Joules does it deliver?\ifkey\endnote{Example 7.4 from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:0zPs9KpT@5/72-Electric-Potential-and-Pote\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1893815}}}\fi
 \begin{choices}
  \CorrectChoice 6.000E+04\,J
  \choice 6.600E+04\,J
  \choice 7.260E+04\,J
  \choice 7.986E+04\,J
  \choice 8.785E+04\,J
\end{choices}

\question When a 12\,V battery operates a 30\,W bulb, how many electrons pass through it each second?\ifkey\endnote{Example 7.5 from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:0zPs9KpT@5/72-Electric-Potential-and-Pote\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1893815}}}\fi
 \begin{choices}
  \CorrectChoice 1.560E+19\,electrons
  \choice 1.716E+19\,electrons
  \choice 1.888E+19\,electrons
  \choice 2.077E+19\,electrons
  \choice 2.285E+19\,electrons
\end{choices}

\question Calculate the final speed of a free electron accelerated from rest through a potential difference of 100\,V.\ifkey\endnote{Example 7.6 from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:0zPs9KpT@5/72-Electric-Potential-and-Pote\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1893815}}}\fi
 \begin{choices}
  \choice 4.902E+06\,m/s
  \choice 5.392E+06\,m/s
  \CorrectChoice 5.931E+06\,m/s
  \choice 6.524E+06\,m/s
  \choice 7.176E+06\,m/s
\end{choices}

\question 
    \includegraphics[width=0.1\textwidth]{Electron-Gun-with-Wehnelt-Cylinder-cropped.png}An electron gun has parallel plates separated by 4\,cm and gives electrons 25\,keV of energy. What force would the field between the plates exert on a 0.5\,\textmu\ C charge that gets between the plates?\ifkey\endnote{Example 7.8 from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:0zPs9KpT@5/72-Electric-Potential-and-Pote\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1893815}}}\fi
 \begin{choices}
  \CorrectChoice 3.125E-01\,N
  \choice 3.437E-01\,N
  \choice 3.781E-01\,N
  \choice 4.159E-01\,N
  \choice 4.575E-01\,N
\end{choices}

\question Assume that a 2\,nC charge is situated at the origin.  Calculate the the magnitude (absolute value) of the potential difference between points P\textsubscript{1} and  P\textsubscript{2} where the polar coordinates (r,\textphi\ ) of  P\textsubscript{1} are  (4\,cm,\,0\(^\circ\)) and  P\textsubscript{2} is at (12\,cm,\,24\(^\circ\)).\ifkey\endnote{Example 7.9 from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:0zPs9KpT@5/72-Electric-Potential-and-Pote\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1893815}}}\fi
 \begin{choices}
  \choice 2.046E+02\,V
  \choice 2.251E+02\,V
  \choice 2.476E+02\,V
  \choice 2.723E+02\,V
  \CorrectChoice 2.996E+02\,V
\end{choices}

\question 
    \includegraphics[width=0.12\textwidth]{bandgeneratorcropped.png}A Van de Graff generator has a 25\,cm diameter metal sphere that produces 100\,kV near its surface.  What  is the excess charge on the sphere?\ifkey\endnote{Example 7.11 from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:\_PzXkSNW@3/73-Calculations-of-Electric-Po\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1893815}}}\fi
 \begin{choices}
  \choice 1.149E+00\,\textmu\ C
  \choice 1.264E+00\,\textmu\ C
  \CorrectChoice 1.391E+00\,\textmu\ C
  \choice 1.530E+00\,\textmu\ C
  \choice 1.683E+00\,\textmu\ C
\end{choices}

\question 
    \includegraphics[width=0.17\textwidth]{electricmanylinescropped.png}A diploe has a charge magnitude of q=3\,nC and a separation distance of d=4\,cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3\,cm,\,y=2\,cm)? Note that following the textbook's example, the y-value of the field point at  2\,cm matches the disance of the positive charge above the x-axis.\ifkey\endnote{Example 7.12 from OpenStax University Physics2: C:/Users/User/18-6/QuizSoftware/numerical/cp2e.7.protected.py\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1893815}}}\fi
 \begin{choices}
  \choice 3.268E+02\,V
  \CorrectChoice 3.595E+02\,V
  \choice 3.955E+02\,V
  \choice 4.350E+02\,V
  \choice 4.785E+02\,V
\end{choices}

\question If a 10\,nC charge is situated at the origin, the  equipotential surface for V(x,y,z)=100\,V is x\textsuperscript{2}\,+\,y\textsuperscript{2}\,+\,z\textsuperscript{2}\,=\,R\textsuperscript{2}, where R=  \ifkey\endnote{Example 7.19 from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:GYAoAVIF@3/75-Equipotential-Surfaces-and-\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1893815}}}\fi
 \begin{choices}
  \CorrectChoice 8.988E-01\,m
  \choice 9.886E-01\,m
  \choice 1.087E+00\,m
  \choice 1.196E+00\,m
  \choice 1.316E+00\,m
\end{choices}

\question Two large parallel conducting plates are separated by 6.5\,mm. Equal and opposite surface charges of 6.810E-07\,C/m\textsuperscript{2} exist on the surfaces between the plates.  What is the distance between equipotential planes which differ by 100\,V?\ifkey\endnote{Example 7.20 from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:GYAoAVIF@3/75-Equipotential-Surfaces-and-\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1893815}}}\fi
 \begin{choices}
  \choice 8.549E-01\,mm
  \choice 9.831E-01\,mm
  \choice 1.131E+00\,mm
  \CorrectChoice 1.300E+00\,mm
  \choice 1.495E+00\,mm
\end{choices}

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

\subsection{}%%%% subsection 1

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

\question A 5\,C charge is separated from a 9\,C charge by  distance of 15\,cm.  What is the work done by increasing this separation to 21\,cm?
\begin{choices} %%%%%%% begin choices
    \choice  7.003E-07\,J
    \CorrectChoice 7.704E-07\,J
    \choice  8.474E-07\,J
    \choice  9.321E-07\,J
    \choice  1.025E-06\,J
\end{choices} %%% end choices

\question A 7\,C charge is separated from a 15\,C charge by  distance of 14\,cm.  What is the work done by increasing this separation to 20\,cm?
\begin{choices} %%%%%%% begin choices
    \choice  1.519E-06\,J
    \choice  1.671E-06\,J
    \choice  1.838E-06\,J
    \CorrectChoice 2.022E-06\,J
    \choice  2.224E-06\,J
\end{choices} %%% end choices

\question A 6\,C charge is separated from a 13\,C charge by  distance of 8\,cm.  What is the work done by increasing this separation to 16\,cm?
\begin{choices} %%%%%%% begin choices
    \choice  3.292E-06\,J
    \choice  3.621E-06\,J
    \choice  3.983E-06\,J
    \CorrectChoice 4.381E-06\,J
    \choice  4.820E-06\,J
\end{choices} %%% end choices

\question A 7\,C charge is separated from a 12\,C charge by  distance of 9\,cm.  What is the work done by increasing this separation to 15\,cm?
\begin{choices} %%%%%%% begin choices
    \choice  2.292E-06\,J
    \choice  2.521E-06\,J
    \choice  2.773E-06\,J
    \choice  3.050E-06\,J
    \CorrectChoice 3.355E-06\,J
\end{choices} %%% end choices

\question A 7\,C charge is separated from a 11\,C charge by  distance of 11\,cm.  What is the work done by increasing this separation to 19\,cm?
\begin{choices} %%%%%%% begin choices
    \choice  2.408E-06\,J
    \CorrectChoice 2.649E-06\,J
    \choice  2.914E-06\,J
    \choice  3.205E-06\,J
    \choice  3.526E-06\,J
\end{choices} %%% end choices

\question A 2\,C charge is separated from a 6\,C charge by  distance of 13\,cm.  What is the work done by increasing this separation to 16\,cm?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.556E-07\,J
    \choice  1.711E-07\,J
    \choice  1.882E-07\,J
    \choice  2.070E-07\,J
    \choice  2.277E-07\,J
\end{choices} %%% end choices

\question A 2\,C charge is separated from a 10\,C charge by  distance of 8\,cm.  What is the work done by increasing this separation to 14\,cm?
\begin{choices} %%%%%%% begin choices
    \choice  8.754E-07\,J
    \CorrectChoice 9.630E-07\,J
    \choice  1.059E-06\,J
    \choice  1.165E-06\,J
    \choice  1.282E-06\,J
\end{choices} %%% end choices

\question A 7\,C charge is separated from a 12\,C charge by  distance of 11\,cm.  What is the work done by increasing this separation to 19\,cm?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 2.890E-06\,J
    \choice  3.179E-06\,J
    \choice  3.497E-06\,J
    \choice  3.846E-06\,J
    \choice  4.231E-06\,J
\end{choices} %%% end choices

\question A 3\,C charge is separated from a 9\,C charge by  distance of 13\,cm.  What is the work done by increasing this separation to 21\,cm?
\begin{choices} %%%%%%% begin choices
    \choice  6.465E-07\,J
    \CorrectChoice 7.111E-07\,J
    \choice  7.822E-07\,J
    \choice  8.604E-07\,J
    \choice  9.465E-07\,J
\end{choices} %%% end choices

\question A 2\,C charge is separated from a 10\,C charge by  distance of 10\,cm.  What is the work done by increasing this separation to 16\,cm?
\begin{choices} %%%%%%% begin choices
    \choice  6.128E-07\,J
    \CorrectChoice 6.741E-07\,J
    \choice  7.415E-07\,J
    \choice  8.156E-07\,J
    \choice  8.972E-07\,J
\end{choices} %%% end choices

\question A 3\,C charge is separated from a 7\,C charge by  distance of 10\,cm.  What is the work done by increasing this separation to 15\,cm?
\begin{choices} %%%%%%% begin choices
    \choice  5.199E-07\,J
    \choice  5.719E-07\,J
    \CorrectChoice 6.291E-07\,J
    \choice  6.920E-07\,J
    \choice  7.612E-07\,J
\end{choices} %%% end choices

\question A 5\,C charge is separated from a 9\,C charge by  distance of 14\,cm.  What is the work done by increasing this separation to 18\,cm?
\begin{choices} %%%%%%% begin choices
    \choice  4.385E-07\,J
    \choice  4.823E-07\,J
    \choice  5.306E-07\,J
    \choice  5.836E-07\,J
    \CorrectChoice 6.420E-07\,J
\end{choices} %%% end choices

\question A 3\,C charge is separated from a 11\,C charge by  distance of 12\,cm.  What is the work done by increasing this separation to 19\,cm?
\begin{choices} %%%%%%% begin choices
    \choice  8.278E-07\,J
    \CorrectChoice 9.106E-07\,J
    \choice  1.002E-06\,J
    \choice  1.102E-06\,J
    \choice  1.212E-06\,J
\end{choices} %%% end choices

\question A 4\,C charge is separated from a 9\,C charge by  distance of 9\,cm.  What is the work done by increasing this separation to 14\,cm?
\begin{choices} %%%%%%% begin choices
    \choice  8.769E-07\,J
    \choice  9.646E-07\,J
    \choice  1.061E-06\,J
    \choice  1.167E-06\,J
    \CorrectChoice 1.284E-06\,J
\end{choices} %%% end choices

\question A 8\,C charge is separated from a 13\,C charge by  distance of 7\,cm.  What is the work done by increasing this separation to 13\,cm?
\begin{choices} %%%%%%% begin choices
    \choice  4.209E-06\,J
    \choice  4.630E-06\,J
    \choice  5.093E-06\,J
    \choice  5.603E-06\,J
    \CorrectChoice 6.163E-06\,J
\end{choices} %%% end choices

\question A 9\,C charge is separated from a 16\,C charge by  distance of 10\,cm.  What is the work done by increasing this separation to 16\,cm?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 4.853E-06\,J
    \choice  5.339E-06\,J
    \choice  5.872E-06\,J
    \choice  6.460E-06\,J
    \choice  7.106E-06\,J
\end{choices} %%% end choices

\question A 8\,C charge is separated from a 12\,C charge by  distance of 9\,cm.  What is the work done by increasing this separation to 18\,cm?
\begin{choices} %%%%%%% begin choices
    \choice  3.274E-06\,J
    \choice  3.601E-06\,J
    \choice  3.961E-06\,J
    \choice  4.358E-06\,J
    \CorrectChoice 4.793E-06\,J
\end{choices} %%% end choices

\question A 5\,C charge is separated from a 12\,C charge by  distance of 10\,cm.  What is the work done by increasing this separation to 16\,cm?
\begin{choices} %%%%%%% begin choices
    \choice  1.381E-06\,J
    \choice  1.519E-06\,J
    \choice  1.671E-06\,J
    \choice  1.838E-06\,J
    \CorrectChoice 2.022E-06\,J
\end{choices} %%% end choices

\question A 4\,C charge is separated from a 10\,C charge by  distance of 10\,cm.  What is the work done by increasing this separation to 19\,cm?
\begin{choices} %%%%%%% begin choices
    \choice  1.548E-06\,J
    \CorrectChoice 1.703E-06\,J
    \choice  1.873E-06\,J
    \choice  2.061E-06\,J
    \choice  2.267E-06\,J
\end{choices} %%% end choices
%\pagebreak
%\end{choices}%??????????????
\end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 2

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

\question 
    \includegraphics[width=0.09\textwidth]{FourChargesatcornersofrectangle.png}Four charges lie at the corners of a  5\,cm by 5\,cm square as shown (i.e., ''a''=''b''=5\,cm.)  The charges are q\textsubscript{1}=3\,\textmu\ C, q\textsubscript{2}=4\,\textmu\ C, q\textsubscript{3}=7\,\textmu\ C, and q\textsubscript{4}=8\,\textmu\ C. How much work was required to assemble these four charges from infinity?
\begin{choices} %%%%%%% begin choices
    \choice  2.573E+01\,J
    \CorrectChoice 2.831E+01\,J
    \choice  3.114E+01\,J
    \choice  3.425E+01\,J
    \choice  3.768E+01\,J
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.09\textwidth]{FourChargesatcornersofrectangle.png}Four charges lie at the corners of a  2\,cm by 2\,cm square as shown (i.e., ''a''=''b''=2\,cm.)  The charges are q\textsubscript{1}=4\,\textmu\ C, q\textsubscript{2}=7\,\textmu\ C, q\textsubscript{3}=8\,\textmu\ C, and q\textsubscript{4}=10\,\textmu\ C. How much work was required to assemble these four charges from infinity?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.241E+02\,J
    \choice  1.365E+02\,J
    \choice  1.501E+02\,J
    \choice  1.652E+02\,J
    \choice  1.817E+02\,J
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.09\textwidth]{FourChargesatcornersofrectangle.png}Four charges lie at the corners of a  4\,cm by 4\,cm square as shown (i.e., ''a''=''b''=4\,cm.)  The charges are q\textsubscript{1}=3\,\textmu\ C, q\textsubscript{2}=6\,\textmu\ C, q\textsubscript{3}=9\,\textmu\ C, and q\textsubscript{4}=11\,\textmu\ C. How much work was required to assemble these four charges from infinity?
\begin{choices} %%%%%%% begin choices
    \choice  4.554E+01\,J
    \choice  5.009E+01\,J
    \choice  5.510E+01\,J
    \CorrectChoice 6.061E+01\,J
    \choice  6.667E+01\,J
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.09\textwidth]{FourChargesatcornersofrectangle.png}Four charges lie at the corners of a  3\,cm by 3\,cm square as shown (i.e., ''a''=''b''=3\,cm.)  The charges are q\textsubscript{1}=3\,\textmu\ C, q\textsubscript{2}=6\,\textmu\ C, q\textsubscript{3}=9\,\textmu\ C, and q\textsubscript{4}=12\,\textmu\ C. How much work was required to assemble these four charges from infinity?
\begin{choices} %%%%%%% begin choices
    \choice  7.789E+01\,J
    \CorrectChoice 8.568E+01\,J
    \choice  9.425E+01\,J
    \choice  1.037E+02\,J
    \choice  1.140E+02\,J
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.09\textwidth]{FourChargesatcornersofrectangle.png}Four charges lie at the corners of a  2\,cm by 2\,cm square as shown (i.e., ''a''=''b''=2\,cm.)  The charges are q\textsubscript{1}=4\,\textmu\ C, q\textsubscript{2}=7\,\textmu\ C, q\textsubscript{3}=10\,\textmu\ C, and q\textsubscript{4}=12\,\textmu\ C. How much work was required to assemble these four charges from infinity?
\begin{choices} %%%%%%% begin choices
    \choice  1.194E+02\,J
    \choice  1.314E+02\,J
    \choice  1.445E+02\,J
    \CorrectChoice 1.589E+02\,J
    \choice  1.748E+02\,J
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.09\textwidth]{FourChargesatcornersofrectangle.png}Four charges lie at the corners of a  3\,cm by 3\,cm square as shown (i.e., ''a''=''b''=3\,cm.)  The charges are q\textsubscript{1}=3\,\textmu\ C, q\textsubscript{2}=5\,\textmu\ C, q\textsubscript{3}=7\,\textmu\ C, and q\textsubscript{4}=10\,\textmu\ C. How much work was required to assemble these four charges from infinity?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 5.998E+01\,J
    \choice  6.598E+01\,J
    \choice  7.257E+01\,J
    \choice  7.983E+01\,J
    \choice  8.781E+01\,J
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.09\textwidth]{FourChargesatcornersofrectangle.png}Four charges lie at the corners of a  5\,cm by 5\,cm square as shown (i.e., ''a''=''b''=5\,cm.)  The charges are q\textsubscript{1}=3\,\textmu\ C, q\textsubscript{2}=4\,\textmu\ C, q\textsubscript{3}=6\,\textmu\ C, and q\textsubscript{4}=8\,\textmu\ C. How much work was required to assemble these four charges from infinity?
\begin{choices} %%%%%%% begin choices
    \choice  2.343E+01\,J
    \CorrectChoice 2.577E+01\,J
    \choice  2.835E+01\,J
    \choice  3.118E+01\,J
    \choice  3.430E+01\,J
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.09\textwidth]{FourChargesatcornersofrectangle.png}Four charges lie at the corners of a  5\,cm by 5\,cm square as shown (i.e., ''a''=''b''=5\,cm.)  The charges are q\textsubscript{1}=3\,\textmu\ C, q\textsubscript{2}=5\,\textmu\ C, q\textsubscript{3}=8\,\textmu\ C, and q\textsubscript{4}=11\,\textmu\ C. How much work was required to assemble these four charges from infinity?
\begin{choices} %%%%%%% begin choices
    \choice  3.444E+01\,J
    \choice  3.789E+01\,J
    \CorrectChoice 4.168E+01\,J
    \choice  4.585E+01\,J
    \choice  5.043E+01\,J
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.09\textwidth]{FourChargesatcornersofrectangle.png}Four charges lie at the corners of a  4\,cm by 4\,cm square as shown (i.e., ''a''=''b''=4\,cm.)  The charges are q\textsubscript{1}=3\,\textmu\ C, q\textsubscript{2}=6\,\textmu\ C, q\textsubscript{3}=7\,\textmu\ C, and q\textsubscript{4}=10\,\textmu\ C. How much work was required to assemble these four charges from infinity?
\begin{choices} %%%%%%% begin choices
    \choice  4.438E+01\,J
    \CorrectChoice 4.882E+01\,J
    \choice  5.370E+01\,J
    \choice  5.907E+01\,J
    \choice  6.498E+01\,J
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.09\textwidth]{FourChargesatcornersofrectangle.png}Four charges lie at the corners of a  5\,cm by 5\,cm square as shown (i.e., ''a''=''b''=5\,cm.)  The charges are q\textsubscript{1}=3\,\textmu\ C, q\textsubscript{2}=4\,\textmu\ C, q\textsubscript{3}=7\,\textmu\ C, and q\textsubscript{4}=9\,\textmu\ C. How much work was required to assemble these four charges from infinity?
\begin{choices} %%%%%%% begin choices
    \choice  2.300E+01\,J
    \choice  2.530E+01\,J
    \choice  2.783E+01\,J
    \CorrectChoice 3.061E+01\,J
    \choice  3.367E+01\,J
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.09\textwidth]{FourChargesatcornersofrectangle.png}Four charges lie at the corners of a  3\,cm by 3\,cm square as shown (i.e., ''a''=''b''=3\,cm.)  The charges are q\textsubscript{1}=4\,\textmu\ C, q\textsubscript{2}=7\,\textmu\ C, q\textsubscript{3}=8\,\textmu\ C, and q\textsubscript{4}=10\,\textmu\ C. How much work was required to assemble these four charges from infinity?
\begin{choices} %%%%%%% begin choices
    \choice  5.650E+01\,J
    \choice  6.215E+01\,J
    \choice  6.837E+01\,J
    \choice  7.520E+01\,J
    \CorrectChoice 8.272E+01\,J
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.09\textwidth]{FourChargesatcornersofrectangle.png}Four charges lie at the corners of a  3\,cm by 3\,cm square as shown (i.e., ''a''=''b''=3\,cm.)  The charges are q\textsubscript{1}=4\,\textmu\ C, q\textsubscript{2}=7\,\textmu\ C, q\textsubscript{3}=8\,\textmu\ C, and q\textsubscript{4}=11\,\textmu\ C. How much work was required to assemble these four charges from infinity?
\begin{choices} %%%%%%% begin choices
    \choice  7.982E+01\,J
    \CorrectChoice 8.780E+01\,J
    \choice  9.658E+01\,J
    \choice  1.062E+02\,J
    \choice  1.169E+02\,J
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.09\textwidth]{FourChargesatcornersofrectangle.png}Four charges lie at the corners of a  4\,cm by 4\,cm square as shown (i.e., ''a''=''b''=4\,cm.)  The charges are q\textsubscript{1}=3\,\textmu\ C, q\textsubscript{2}=6\,\textmu\ C, q\textsubscript{3}=9\,\textmu\ C, and q\textsubscript{4}=10\,\textmu\ C. How much work was required to assemble these four charges from infinity?
\begin{choices} %%%%%%% begin choices
    \choice  5.178E+01\,J
    \CorrectChoice 5.696E+01\,J
    \choice  6.266E+01\,J
    \choice  6.892E+01\,J
    \choice  7.582E+01\,J
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.09\textwidth]{FourChargesatcornersofrectangle.png}Four charges lie at the corners of a  5\,cm by 5\,cm square as shown (i.e., ''a''=''b''=5\,cm.)  The charges are q\textsubscript{1}=4\,\textmu\ C, q\textsubscript{2}=6\,\textmu\ C, q\textsubscript{3}=8\,\textmu\ C, and q\textsubscript{4}=10\,\textmu\ C. How much work was required to assemble these four charges from infinity?
\begin{choices} %%%%%%% begin choices
    \choice  3.819E+01\,J
    \choice  4.201E+01\,J
    \CorrectChoice 4.621E+01\,J
    \choice  5.083E+01\,J
    \choice  5.591E+01\,J
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.09\textwidth]{FourChargesatcornersofrectangle.png}Four charges lie at the corners of a  3\,cm by 3\,cm square as shown (i.e., ''a''=''b''=3\,cm.)  The charges are q\textsubscript{1}=4\,\textmu\ C, q\textsubscript{2}=6\,\textmu\ C, q\textsubscript{3}=9\,\textmu\ C, and q\textsubscript{4}=11\,\textmu\ C. How much work was required to assemble these four charges from infinity?
\begin{choices} %%%%%%% begin choices
    \choice  6.598E+01\,J
    \choice  7.258E+01\,J
    \choice  7.983E+01\,J
    \CorrectChoice 8.782E+01\,J
    \choice  9.660E+01\,J
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.09\textwidth]{FourChargesatcornersofrectangle.png}Four charges lie at the corners of a  4\,cm by 4\,cm square as shown (i.e., ''a''=''b''=4\,cm.)  The charges are q\textsubscript{1}=3\,\textmu\ C, q\textsubscript{2}=6\,\textmu\ C, q\textsubscript{3}=7\,\textmu\ C, and q\textsubscript{4}=9\,\textmu\ C. How much work was required to assemble these four charges from infinity?
\begin{choices} %%%%%%% begin choices
    \choice  3.116E+01\,J
    \choice  3.427E+01\,J
    \choice  3.770E+01\,J
    \choice  4.147E+01\,J
    \CorrectChoice 4.562E+01\,J
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.09\textwidth]{FourChargesatcornersofrectangle.png}Four charges lie at the corners of a  4\,cm by 4\,cm square as shown (i.e., ''a''=''b''=4\,cm.)  The charges are q\textsubscript{1}=3\,\textmu\ C, q\textsubscript{2}=5\,\textmu\ C, q\textsubscript{3}=6\,\textmu\ C, and q\textsubscript{4}=9\,\textmu\ C. How much work was required to assemble these four charges from infinity?
\begin{choices} %%%%%%% begin choices
    \choice  2.617E+01\,J
    \choice  2.879E+01\,J
    \choice  3.167E+01\,J
    \choice  3.484E+01\,J
    \CorrectChoice 3.832E+01\,J
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.09\textwidth]{FourChargesatcornersofrectangle.png}Four charges lie at the corners of a  3\,cm by 3\,cm square as shown (i.e., ''a''=''b''=3\,cm.)  The charges are q\textsubscript{1}=4\,\textmu\ C, q\textsubscript{2}=5\,\textmu\ C, q\textsubscript{3}=7\,\textmu\ C, and q\textsubscript{4}=8\,\textmu\ C. How much work was required to assemble these four charges from infinity?
\begin{choices} %%%%%%% begin choices
    \choice  3.910E+01\,J
    \choice  4.301E+01\,J
    \choice  4.731E+01\,J
    \choice  5.204E+01\,J
    \CorrectChoice 5.725E+01\,J
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.09\textwidth]{FourChargesatcornersofrectangle.png}Four charges lie at the corners of a  5\,cm by 5\,cm square as shown (i.e., ''a''=''b''=5\,cm.)  The charges are q\textsubscript{1}=4\,\textmu\ C, q\textsubscript{2}=7\,\textmu\ C, q\textsubscript{3}=8\,\textmu\ C, and q\textsubscript{4}=9\,\textmu\ C. How much work was required to assemble these four charges from infinity?
\begin{choices} %%%%%%% begin choices
    \choice  4.235E+01\,J
    \CorrectChoice 4.659E+01\,J
    \choice  5.125E+01\,J
    \choice  5.637E+01\,J
    \choice  6.201E+01\,J
\end{choices} %%% end choices
%\pagebreak
%\end{choices}%??????????????
\end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 3

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

\question A 12.0 V battery can move 9,000\,C of charge. How many Joules does it deliver?
\begin{choices} %%%%%%% begin choices
    \choice  8.114E+04\,J
    \choice  8.926E+04\,J
    \choice  9.818E+04\,J
    \CorrectChoice 1.080E+05\,J
    \choice  1.188E+05\,J
\end{choices} %%% end choices

\question A 12.0 V battery can move 44,000\,C of charge. How many Joules does it deliver?
\begin{choices} %%%%%%% begin choices
    \choice  4.800E+05\,J
    \CorrectChoice 5.280E+05\,J
    \choice  5.808E+05\,J
    \choice  6.389E+05\,J
    \choice  7.028E+05\,J
\end{choices} %%% end choices

\question A 12.0 V battery can move 27,000\,C of charge. How many Joules does it deliver?
\begin{choices} %%%%%%% begin choices
    \choice  2.213E+05\,J
    \choice  2.434E+05\,J
    \choice  2.678E+05\,J
    \choice  2.945E+05\,J
    \CorrectChoice 3.240E+05\,J
\end{choices} %%% end choices

\question A 12.0 V battery can move 41,000\,C of charge. How many Joules does it deliver?
\begin{choices} %%%%%%% begin choices
    \choice  3.696E+05\,J
    \choice  4.066E+05\,J
    \choice  4.473E+05\,J
    \CorrectChoice 4.920E+05\,J
    \choice  5.412E+05\,J
\end{choices} %%% end choices

\question A 12.0 V battery can move 19,000\,C of charge. How many Joules does it deliver?
\begin{choices} %%%%%%% begin choices
    \choice  1.713E+05\,J
    \choice  1.884E+05\,J
    \choice  2.073E+05\,J
    \CorrectChoice 2.280E+05\,J
    \choice  2.508E+05\,J
\end{choices} %%% end choices

\question A 12.0 V battery can move 38,000\,C of charge. How many Joules does it deliver?
\begin{choices} %%%%%%% begin choices
    \choice  3.115E+05\,J
    \choice  3.426E+05\,J
    \choice  3.769E+05\,J
    \choice  4.145E+05\,J
    \CorrectChoice 4.560E+05\,J
\end{choices} %%% end choices

\question A 12.0 V battery can move 29,000\,C of charge. How many Joules does it deliver?
\begin{choices} %%%%%%% begin choices
    \choice  2.615E+05\,J
    \choice  2.876E+05\,J
    \choice  3.164E+05\,J
    \CorrectChoice 3.480E+05\,J
    \choice  3.828E+05\,J
\end{choices} %%% end choices

\question A 12.0 V battery can move 11,000\,C of charge. How many Joules does it deliver?
\begin{choices} %%%%%%% begin choices
    \choice  1.200E+05\,J
    \CorrectChoice 1.320E+05\,J
    \choice  1.452E+05\,J
    \choice  1.597E+05\,J
    \choice  1.757E+05\,J
\end{choices} %%% end choices

\question A 12.0 V battery can move 12,000\,C of charge. How many Joules does it deliver?
\begin{choices} %%%%%%% begin choices
    \choice  1.190E+05\,J
    \choice  1.309E+05\,J
    \CorrectChoice 1.440E+05\,J
    \choice  1.584E+05\,J
    \choice  1.742E+05\,J
\end{choices} %%% end choices

\question A 12.0 V battery can move 24,000\,C of charge. How many Joules does it deliver?
\begin{choices} %%%%%%% begin choices
    \choice  1.967E+05\,J
    \choice  2.164E+05\,J
    \choice  2.380E+05\,J
    \choice  2.618E+05\,J
    \CorrectChoice 2.880E+05\,J
\end{choices} %%% end choices

\question A 12.0 V battery can move 36,000\,C of charge. How many Joules does it deliver?
\begin{choices} %%%%%%% begin choices
    \choice  3.570E+05\,J
    \choice  3.927E+05\,J
    \CorrectChoice 4.320E+05\,J
    \choice  4.752E+05\,J
    \choice  5.227E+05\,J
\end{choices} %%% end choices

\question A 12.0 V battery can move 11,000\,C of charge. How many Joules does it deliver?
\begin{choices} %%%%%%% begin choices
    \choice  9.016E+04\,J
    \choice  9.917E+04\,J
    \choice  1.091E+05\,J
    \choice  1.200E+05\,J
    \CorrectChoice 1.320E+05\,J
\end{choices} %%% end choices

\question A 12.0 V battery can move 49,000\,C of charge. How many Joules does it deliver?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 5.880E+05\,J
    \choice  6.468E+05\,J
    \choice  7.115E+05\,J
    \choice  7.826E+05\,J
    \choice  8.609E+05\,J
\end{choices} %%% end choices

\question A 12.0 V battery can move 30,000\,C of charge. How many Joules does it deliver?
\begin{choices} %%%%%%% begin choices
    \choice  3.273E+05\,J
    \CorrectChoice 3.600E+05\,J
    \choice  3.960E+05\,J
    \choice  4.356E+05\,J
    \choice  4.792E+05\,J
\end{choices} %%% end choices

\question A 12.0 V battery can move 32,000\,C of charge. How many Joules does it deliver?
\begin{choices} %%%%%%% begin choices
    \choice  2.885E+05\,J
    \choice  3.174E+05\,J
    \choice  3.491E+05\,J
    \CorrectChoice 3.840E+05\,J
    \choice  4.224E+05\,J
\end{choices} %%% end choices

\question A 12.0 V battery can move 31,000\,C of charge. How many Joules does it deliver?
\begin{choices} %%%%%%% begin choices
    \choice  2.541E+05\,J
    \choice  2.795E+05\,J
    \choice  3.074E+05\,J
    \choice  3.382E+05\,J
    \CorrectChoice 3.720E+05\,J
\end{choices} %%% end choices

\question A 12.0 V battery can move 35,000\,C of charge. How many Joules does it deliver?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 4.200E+05\,J
    \choice  4.620E+05\,J
    \choice  5.082E+05\,J
    \choice  5.590E+05\,J
    \choice  6.149E+05\,J
\end{choices} %%% end choices

\question A 12.0 V battery can move 40,000\,C of charge. How many Joules does it deliver?
\begin{choices} %%%%%%% begin choices
    \choice  3.278E+05\,J
    \choice  3.606E+05\,J
    \choice  3.967E+05\,J
    \choice  4.364E+05\,J
    \CorrectChoice 4.800E+05\,J
\end{choices} %%% end choices

\question A 12.0 V battery can move 26,000\,C of charge. How many Joules does it deliver?
\begin{choices} %%%%%%% begin choices
    \choice  2.836E+05\,J
    \CorrectChoice 3.120E+05\,J
    \choice  3.432E+05\,J
    \choice  3.775E+05\,J
    \choice  4.153E+05\,J
\end{choices} %%% end choices
%\pagebreak
%\end{choices}%??????????????
\end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 4

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

\question When a 7.85\,V battery operates a 1.82\,W bulb, how many electrons pass through it each second?
\begin{choices} %%%%%%% begin choices
    \choice  1.087E+18\,electrons
    \choice  1.196E+18\,electrons
    \choice  1.316E+18\,electrons
    \CorrectChoice 1.447E+18\,electrons
    \choice  1.592E+18\,electrons
\end{choices} %%% end choices

\question When a 6.97\,V battery operates a 2.6\,W bulb, how many electrons pass through it each second?
\begin{choices} %%%%%%% begin choices
    \choice  1.749E+18\,electrons
    \choice  1.924E+18\,electrons
    \choice  2.117E+18\,electrons
    \CorrectChoice 2.328E+18\,electrons
    \choice  2.561E+18\,electrons
\end{choices} %%% end choices

\question When a 7.78\,V battery operates a 1.35\,W bulb, how many electrons pass through it each second?
\begin{choices} %%%%%%% begin choices
    \choice  7.397E+17\,electrons
    \choice  8.137E+17\,electrons
    \choice  8.951E+17\,electrons
    \choice  9.846E+17\,electrons
    \CorrectChoice 1.083E+18\,electrons
\end{choices} %%% end choices

\question When a 8.6\,V battery operates a 2.76\,W bulb, how many electrons pass through it each second?
\begin{choices} %%%%%%% begin choices
    \choice  1.655E+18\,electrons
    \choice  1.821E+18\,electrons
    \CorrectChoice 2.003E+18\,electrons
    \choice  2.203E+18\,electrons
    \choice  2.424E+18\,electrons
\end{choices} %%% end choices

\question When a 4.91\,V battery operates a 1.43\,W bulb, how many electrons pass through it each second?
\begin{choices} %%%%%%% begin choices
    \choice  1.242E+18\,electrons
    \choice  1.366E+18\,electrons
    \choice  1.502E+18\,electrons
    \choice  1.653E+18\,electrons
    \CorrectChoice 1.818E+18\,electrons
\end{choices} %%% end choices

\question When a 2.59\,V battery operates a 2.89\,W bulb, how many electrons pass through it each second?
\begin{choices} %%%%%%% begin choices
    \choice  5.756E+18\,electrons
    \choice  6.331E+18\,electrons
    \CorrectChoice 6.964E+18\,electrons
    \choice  7.661E+18\,electrons
    \choice  8.427E+18\,electrons
\end{choices} %%% end choices

\question When a 6.32\,V battery operates a 1.94\,W bulb, how many electrons pass through it each second?
\begin{choices} %%%%%%% begin choices
    \choice  1.439E+18\,electrons
    \choice  1.583E+18\,electrons
    \choice  1.742E+18\,electrons
    \CorrectChoice 1.916E+18\,electrons
    \choice  2.107E+18\,electrons
\end{choices} %%% end choices

\question When a 6.03\,V battery operates a 1.56\,W bulb, how many electrons pass through it each second?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.615E+18\,electrons
    \choice  1.776E+18\,electrons
    \choice  1.954E+18\,electrons
    \choice  2.149E+18\,electrons
    \choice  2.364E+18\,electrons
\end{choices} %%% end choices

\question When a 5.65\,V battery operates a 2.73\,W bulb, how many electrons pass through it each second?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 3.016E+18\,electrons
    \choice  3.317E+18\,electrons
    \choice  3.649E+18\,electrons
    \choice  4.014E+18\,electrons
    \choice  4.415E+18\,electrons
\end{choices} %%% end choices

\question When a 2.76\,V battery operates a 2.71\,W bulb, how many electrons pass through it each second?
\begin{choices} %%%%%%% begin choices
    \choice  5.571E+18\,electrons
    \CorrectChoice 6.128E+18\,electrons
    \choice  6.741E+18\,electrons
    \choice  7.415E+18\,electrons
    \choice  8.157E+18\,electrons
\end{choices} %%% end choices

\question When a 7.1\,V battery operates a 1.8\,W bulb, how many electrons pass through it each second?
\begin{choices} %%%%%%% begin choices
    \choice  1.439E+18\,electrons
    \CorrectChoice 1.582E+18\,electrons
    \choice  1.741E+18\,electrons
    \choice  1.915E+18\,electrons
    \choice  2.106E+18\,electrons
\end{choices} %%% end choices

\question When a 6.24\,V battery operates a 2.1\,W bulb, how many electrons pass through it each second?
\begin{choices} %%%%%%% begin choices
    \choice  1.435E+18\,electrons
    \choice  1.578E+18\,electrons
    \choice  1.736E+18\,electrons
    \choice  1.910E+18\,electrons
    \CorrectChoice 2.101E+18\,electrons
\end{choices} %%% end choices

\question When a 4.63\,V battery operates a 2.26\,W bulb, how many electrons pass through it each second?
\begin{choices} %%%%%%% begin choices
    \choice  2.770E+18\,electrons
    \CorrectChoice 3.047E+18\,electrons
    \choice  3.351E+18\,electrons
    \choice  3.686E+18\,electrons
    \choice  4.055E+18\,electrons
\end{choices} %%% end choices

\question When a 1.95\,V battery operates a 2.8\,W bulb, how many electrons pass through it each second?
\begin{choices} %%%%%%% begin choices
    \choice  7.407E+18\,electrons
    \choice  8.147E+18\,electrons
    \CorrectChoice 8.962E+18\,electrons
    \choice  9.858E+18\,electrons
    \choice  1.084E+19\,electrons
\end{choices} %%% end choices

\question When a 3.8\,V battery operates a 1.67\,W bulb, how many electrons pass through it each second?
\begin{choices} %%%%%%% begin choices
    \choice  1.873E+18\,electrons
    \choice  2.061E+18\,electrons
    \choice  2.267E+18\,electrons
    \choice  2.494E+18\,electrons
    \CorrectChoice 2.743E+18\,electrons
\end{choices} %%% end choices

\question When a 3.63\,V battery operates a 1.34\,W bulb, how many electrons pass through it each second?
\begin{choices} %%%%%%% begin choices
    \choice  2.095E+18\,electrons
    \CorrectChoice 2.304E+18\,electrons
    \choice  2.534E+18\,electrons
    \choice  2.788E+18\,electrons
    \choice  3.067E+18\,electrons
\end{choices} %%% end choices

\question When a 4.21\,V battery operates a 2.17\,W bulb, how many electrons pass through it each second?
\begin{choices} %%%%%%% begin choices
    \choice  2.659E+18\,electrons
    \choice  2.925E+18\,electrons
    \CorrectChoice 3.217E+18\,electrons
    \choice  3.539E+18\,electrons
    \choice  3.893E+18\,electrons
\end{choices} %%% end choices

\question When a 3.21\,V battery operates a 2.38\,W bulb, how many electrons pass through it each second?
\begin{choices} %%%%%%% begin choices
    \choice  3.161E+18\,electrons
    \choice  3.477E+18\,electrons
    \choice  3.825E+18\,electrons
    \choice  4.207E+18\,electrons
    \CorrectChoice 4.628E+18\,electrons
\end{choices} %%% end choices

\question When a 4.89\,V battery operates a 1.44\,W bulb, how many electrons pass through it each second?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.838E+18\,electrons
    \choice  2.022E+18\,electrons
    \choice  2.224E+18\,electrons
    \choice  2.446E+18\,electrons
    \choice  2.691E+18\,electrons
\end{choices} %%% end choices
%\pagebreak
%\end{choices}%??????????????
\end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 5

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

\question Calculate the final speed of a free electron accelerated from rest through a potential difference of 3\,V.
\begin{choices} %%%%%%% begin choices
    \choice  9.339E+05\,m/s
    \CorrectChoice 1.027E+06\,m/s
    \choice  1.130E+06\,m/s
    \choice  1.243E+06\,m/s
    \choice  1.367E+06\,m/s
\end{choices} %%% end choices

\question Calculate the final speed of a free electron accelerated from rest through a potential difference of 74\,V.
\begin{choices} %%%%%%% begin choices
    \choice  4.638E+06\,m/s
    \CorrectChoice 5.102E+06\,m/s
    \choice  5.612E+06\,m/s
    \choice  6.173E+06\,m/s
    \choice  6.791E+06\,m/s
\end{choices} %%% end choices

\question Calculate the final speed of a free electron accelerated from rest through a potential difference of 74\,V.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 5.102E+06\,m/s
    \choice  5.612E+06\,m/s
    \choice  6.173E+06\,m/s
    \choice  6.791E+06\,m/s
    \choice  7.470E+06\,m/s
\end{choices} %%% end choices

\question Calculate the final speed of a free electron accelerated from rest through a potential difference of 6\,V.
\begin{choices} %%%%%%% begin choices
    \choice  1.091E+06\,m/s
    \choice  1.201E+06\,m/s
    \choice  1.321E+06\,m/s
    \CorrectChoice 1.453E+06\,m/s
    \choice  1.598E+06\,m/s
\end{choices} %%% end choices

\question Calculate the final speed of a free electron accelerated from rest through a potential difference of 27\,V.
\begin{choices} %%%%%%% begin choices
    \choice  2.802E+06\,m/s
    \CorrectChoice 3.082E+06\,m/s
    \choice  3.390E+06\,m/s
    \choice  3.729E+06\,m/s
    \choice  4.102E+06\,m/s
\end{choices} %%% end choices

\question Calculate the final speed of a free electron accelerated from rest through a potential difference of 46\,V.
\begin{choices} %%%%%%% begin choices
    \choice  3.022E+06\,m/s
    \choice  3.324E+06\,m/s
    \choice  3.657E+06\,m/s
    \CorrectChoice 4.023E+06\,m/s
    \choice  4.425E+06\,m/s
\end{choices} %%% end choices

\question Calculate the final speed of a free electron accelerated from rest through a potential difference of 16\,V.
\begin{choices} %%%%%%% begin choices
    \choice  2.157E+06\,m/s
    \CorrectChoice 2.372E+06\,m/s
    \choice  2.610E+06\,m/s
    \choice  2.871E+06\,m/s
    \choice  3.158E+06\,m/s
\end{choices} %%% end choices

\question Calculate the final speed of a free electron accelerated from rest through a potential difference of 30\,V.
\begin{choices} %%%%%%% begin choices
    \choice  2.441E+06\,m/s
    \choice  2.685E+06\,m/s
    \choice  2.953E+06\,m/s
    \CorrectChoice 3.249E+06\,m/s
    \choice  3.573E+06\,m/s
\end{choices} %%% end choices

\question Calculate the final speed of a free electron accelerated from rest through a potential difference of 12\,V.
\begin{choices} %%%%%%% begin choices
    \choice  1.544E+06\,m/s
    \choice  1.698E+06\,m/s
    \choice  1.868E+06\,m/s
    \CorrectChoice 2.055E+06\,m/s
    \choice  2.260E+06\,m/s
\end{choices} %%% end choices

\question Calculate the final speed of a free electron accelerated from rest through a potential difference of 83\,V.
\begin{choices} %%%%%%% begin choices
    \choice  4.466E+06\,m/s
    \choice  4.912E+06\,m/s
    \CorrectChoice 5.403E+06\,m/s
    \choice  5.944E+06\,m/s
    \choice  6.538E+06\,m/s
\end{choices} %%% end choices

\question Calculate the final speed of a free electron accelerated from rest through a potential difference of 45\,V.
\begin{choices} %%%%%%% begin choices
    \choice  3.288E+06\,m/s
    \choice  3.617E+06\,m/s
    \CorrectChoice 3.979E+06\,m/s
    \choice  4.376E+06\,m/s
    \choice  4.814E+06\,m/s
\end{choices} %%% end choices

\question Calculate the final speed of a free electron accelerated from rest through a potential difference of 45\,V.
\begin{choices} %%%%%%% begin choices
    \choice  3.617E+06\,m/s
    \CorrectChoice 3.979E+06\,m/s
    \choice  4.376E+06\,m/s
    \choice  4.814E+06\,m/s
    \choice  5.296E+06\,m/s
\end{choices} %%% end choices

\question Calculate the final speed of a free electron accelerated from rest through a potential difference of 19\,V.
\begin{choices} %%%%%%% begin choices
    \choice  1.942E+06\,m/s
    \choice  2.137E+06\,m/s
    \choice  2.350E+06\,m/s
    \CorrectChoice 2.585E+06\,m/s
    \choice  2.844E+06\,m/s
\end{choices} %%% end choices

\question Calculate the final speed of a free electron accelerated from rest through a potential difference of 12\,V.
\begin{choices} %%%%%%% begin choices
    \choice  1.698E+06\,m/s
    \choice  1.868E+06\,m/s
    \CorrectChoice 2.055E+06\,m/s
    \choice  2.260E+06\,m/s
    \choice  2.486E+06\,m/s
\end{choices} %%% end choices

\question Calculate the final speed of a free electron accelerated from rest through a potential difference of 56\,V.
\begin{choices} %%%%%%% begin choices
    \choice  3.031E+06\,m/s
    \choice  3.335E+06\,m/s
    \choice  3.668E+06\,m/s
    \choice  4.035E+06\,m/s
    \CorrectChoice 4.438E+06\,m/s
\end{choices} %%% end choices

\question Calculate the final speed of a free electron accelerated from rest through a potential difference of 53\,V.
\begin{choices} %%%%%%% begin choices
    \choice  3.244E+06\,m/s
    \choice  3.568E+06\,m/s
    \choice  3.925E+06\,m/s
    \CorrectChoice 4.318E+06\,m/s
    \choice  4.750E+06\,m/s
\end{choices} %%% end choices

\question Calculate the final speed of a free electron accelerated from rest through a potential difference of 69\,V.
\begin{choices} %%%%%%% begin choices
    \choice  3.365E+06\,m/s
    \choice  3.701E+06\,m/s
    \choice  4.072E+06\,m/s
    \choice  4.479E+06\,m/s
    \CorrectChoice 4.927E+06\,m/s
\end{choices} %%% end choices

\question Calculate the final speed of a free electron accelerated from rest through a potential difference of 11\,V.
\begin{choices} %%%%%%% begin choices
    \choice  1.626E+06\,m/s
    \choice  1.788E+06\,m/s
    \CorrectChoice 1.967E+06\,m/s
    \choice  2.164E+06\,m/s
    \choice  2.380E+06\,m/s
\end{choices} %%% end choices

\question Calculate the final speed of a free electron accelerated from rest through a potential difference of 81\,V.
\begin{choices} %%%%%%% begin choices
    \choice  4.411E+06\,m/s
    \choice  4.853E+06\,m/s
    \CorrectChoice 5.338E+06\,m/s
    \choice  5.872E+06\,m/s
    \choice  6.459E+06\,m/s
\end{choices} %%% end choices
%\pagebreak
%\end{choices}%??????????????
\end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 6

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

\question 
    \includegraphics[width=0.1\textwidth]{Electron-Gun-with-Wehnelt-Cylinder-cropped.png}An electron gun has parallel plates separated by 2.57\,cm and gives electrons 53\,keV of energy. What force would the field between the plates exert on a 0.58\,\textmu\ C charge that gets between the plates?
\begin{choices} %%%%%%% begin choices
    \choice  9.885E-01\,N
    \choice  1.087E+00\,N
    \CorrectChoice 1.196E+00\,N
    \choice  1.316E+00\,N
    \choice  1.447E+00\,N
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.1\textwidth]{Electron-Gun-with-Wehnelt-Cylinder-cropped.png}An electron gun has parallel plates separated by 4.95\,cm and gives electrons 13\,keV of energy. What force would the field between the plates exert on a 0.516\,\textmu\ C charge that gets between the plates?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.355E-01\,N
    \choice  1.491E-01\,N
    \choice  1.640E-01\,N
    \choice  1.804E-01\,N
    \choice  1.984E-01\,N
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.1\textwidth]{Electron-Gun-with-Wehnelt-Cylinder-cropped.png}An electron gun has parallel plates separated by 4.25\,cm and gives electrons 15\,keV of energy. What force would the field between the plates exert on a 0.518\,\textmu\ C charge that gets between the plates?
\begin{choices} %%%%%%% begin choices
    \choice  1.374E-01\,N
    \choice  1.511E-01\,N
    \choice  1.662E-01\,N
    \CorrectChoice 1.828E-01\,N
    \choice  2.011E-01\,N
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.1\textwidth]{Electron-Gun-with-Wehnelt-Cylinder-cropped.png}An electron gun has parallel plates separated by 5.31\,cm and gives electrons 41\,keV of energy. What force would the field between the plates exert on a 0.368\,\textmu\ C charge that gets between the plates?
\begin{choices} %%%%%%% begin choices
    \choice  2.348E-01\,N
    \choice  2.583E-01\,N
    \CorrectChoice 2.841E-01\,N
    \choice  3.126E-01\,N
    \choice  3.438E-01\,N
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.1\textwidth]{Electron-Gun-with-Wehnelt-Cylinder-cropped.png}An electron gun has parallel plates separated by 2.85\,cm and gives electrons 26\,keV of energy. What force would the field between the plates exert on a 0.302\,\textmu\ C charge that gets between the plates?
\begin{choices} %%%%%%% begin choices
    \choice  2.505E-01\,N
    \CorrectChoice 2.755E-01\,N
    \choice  3.031E-01\,N
    \choice  3.334E-01\,N
    \choice  3.667E-01\,N
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.1\textwidth]{Electron-Gun-with-Wehnelt-Cylinder-cropped.png}An electron gun has parallel plates separated by 2.36\,cm and gives electrons 54\,keV of energy. What force would the field between the plates exert on a 0.45\,\textmu\ C charge that gets between the plates?
\begin{choices} %%%%%%% begin choices
    \choice  7.033E-01\,N
    \choice  7.736E-01\,N
    \choice  8.510E-01\,N
    \choice  9.361E-01\,N
    \CorrectChoice 1.030E+00\,N
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.1\textwidth]{Electron-Gun-with-Wehnelt-Cylinder-cropped.png}An electron gun has parallel plates separated by 4.24\,cm and gives electrons 48\,keV of energy. What force would the field between the plates exert on a 0.48\,\textmu\ C charge that gets between the plates?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 5.434E-01\,N
    \choice  5.977E-01\,N
    \choice  6.575E-01\,N
    \choice  7.233E-01\,N
    \choice  7.956E-01\,N
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.1\textwidth]{Electron-Gun-with-Wehnelt-Cylinder-cropped.png}An electron gun has parallel plates separated by 5.02\,cm and gives electrons 16\,keV of energy. What force would the field between the plates exert on a 0.609\,\textmu\ C charge that gets between the plates?
\begin{choices} %%%%%%% begin choices
    \choice  1.604E-01\,N
    \choice  1.765E-01\,N
    \CorrectChoice 1.941E-01\,N
    \choice  2.135E-01\,N
    \choice  2.349E-01\,N
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.1\textwidth]{Electron-Gun-with-Wehnelt-Cylinder-cropped.png}An electron gun has parallel plates separated by 3.39\,cm and gives electrons 57\,keV of energy. What force would the field between the plates exert on a 0.218\,\textmu\ C charge that gets between the plates?
\begin{choices} %%%%%%% begin choices
    \choice  3.029E-01\,N
    \choice  3.332E-01\,N
    \CorrectChoice 3.665E-01\,N
    \choice  4.032E-01\,N
    \choice  4.435E-01\,N
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.1\textwidth]{Electron-Gun-with-Wehnelt-Cylinder-cropped.png}An electron gun has parallel plates separated by 4.2\,cm and gives electrons 51\,keV of energy. What force would the field between the plates exert on a 0.84\,\textmu\ C charge that gets between the plates?
\begin{choices} %%%%%%% begin choices
    \choice  8.430E-01\,N
    \choice  9.273E-01\,N
    \CorrectChoice 1.020E+00\,N
    \choice  1.122E+00\,N
    \choice  1.234E+00\,N
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.1\textwidth]{Electron-Gun-with-Wehnelt-Cylinder-cropped.png}An electron gun has parallel plates separated by 3.68\,cm and gives electrons 54\,keV of energy. What force would the field between the plates exert on a 0.181\,\textmu\ C charge that gets between the plates?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 2.656E-01\,N
    \choice  2.922E-01\,N
    \choice  3.214E-01\,N
    \choice  3.535E-01\,N
    \choice  3.889E-01\,N
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.1\textwidth]{Electron-Gun-with-Wehnelt-Cylinder-cropped.png}An electron gun has parallel plates separated by 3.35\,cm and gives electrons 26\,keV of energy. What force would the field between the plates exert on a 0.682\,\textmu\ C charge that gets between the plates?
\begin{choices} %%%%%%% begin choices
    \choice  3.977E-01\,N
    \choice  4.374E-01\,N
    \choice  4.812E-01\,N
    \CorrectChoice 5.293E-01\,N
    \choice  5.822E-01\,N
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.1\textwidth]{Electron-Gun-with-Wehnelt-Cylinder-cropped.png}An electron gun has parallel plates separated by 5.38\,cm and gives electrons 54\,keV of energy. What force would the field between the plates exert on a 0.427\,\textmu\ C charge that gets between the plates?
\begin{choices} %%%%%%% begin choices
    \choice  3.542E-01\,N
    \choice  3.896E-01\,N
    \CorrectChoice 4.286E-01\,N
    \choice  4.714E-01\,N
    \choice  5.186E-01\,N
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.1\textwidth]{Electron-Gun-with-Wehnelt-Cylinder-cropped.png}An electron gun has parallel plates separated by 2.68\,cm and gives electrons 29\,keV of energy. What force would the field between the plates exert on a 0.496\,\textmu\ C charge that gets between the plates?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 5.367E-01\,N
    \choice  5.904E-01\,N
    \choice  6.494E-01\,N
    \choice  7.144E-01\,N
    \choice  7.858E-01\,N
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.1\textwidth]{Electron-Gun-with-Wehnelt-Cylinder-cropped.png}An electron gun has parallel plates separated by 4.36\,cm and gives electrons 13\,keV of energy. What force would the field between the plates exert on a 0.816\,\textmu\ C charge that gets between the plates?
\begin{choices} %%%%%%% begin choices
    \choice  2.212E-01\,N
    \CorrectChoice 2.433E-01\,N
    \choice  2.676E-01\,N
    \choice  2.944E-01\,N
    \choice  3.238E-01\,N
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.1\textwidth]{Electron-Gun-with-Wehnelt-Cylinder-cropped.png}An electron gun has parallel plates separated by 3.02\,cm and gives electrons 39\,keV of energy. What force would the field between the plates exert on a 0.699\,\textmu\ C charge that gets between the plates?
\begin{choices} %%%%%%% begin choices
    \choice  8.206E-01\,N
    \CorrectChoice 9.027E-01\,N
    \choice  9.930E-01\,N
    \choice  1.092E+00\,N
    \choice  1.201E+00\,N
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.1\textwidth]{Electron-Gun-with-Wehnelt-Cylinder-cropped.png}An electron gun has parallel plates separated by 4.85\,cm and gives electrons 36\,keV of energy. What force would the field between the plates exert on a 0.663\,\textmu\ C charge that gets between the plates?
\begin{choices} %%%%%%% begin choices
    \choice  3.697E-01\,N
    \choice  4.067E-01\,N
    \choice  4.474E-01\,N
    \CorrectChoice 4.921E-01\,N
    \choice  5.413E-01\,N
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.1\textwidth]{Electron-Gun-with-Wehnelt-Cylinder-cropped.png}An electron gun has parallel plates separated by 5.04\,cm and gives electrons 53\,keV of energy. What force would the field between the plates exert on a 0.246\,\textmu\ C charge that gets between the plates?
\begin{choices} %%%%%%% begin choices
    \choice  1.767E-01\,N
    \choice  1.944E-01\,N
    \choice  2.138E-01\,N
    \choice  2.352E-01\,N
    \CorrectChoice 2.587E-01\,N
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.1\textwidth]{Electron-Gun-with-Wehnelt-Cylinder-cropped.png}An electron gun has parallel plates separated by 2.98\,cm and gives electrons 11\,keV of energy. What force would the field between the plates exert on a 0.685\,\textmu\ C charge that gets between the plates?
\begin{choices} %%%%%%% begin choices
    \choice  1.900E-01\,N
    \choice  2.090E-01\,N
    \choice  2.299E-01\,N
    \CorrectChoice 2.529E-01\,N
    \choice  2.781E-01\,N
\end{choices} %%% end choices
%\pagebreak
%\end{choices}%??????????????
\end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 7

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

\question Assume that a 21\,nC charge is situated at the origin.  Calculate the the magnitude (absolute value) of the potential difference between points P\textsubscript{1} and  P\textsubscript{2} where the polar coordinates (r,\textphi\ ) of  P\textsubscript{1} are  (5\,cm,\,0\(^\circ\)) and  P\textsubscript{2} is at (16\,cm,\,51\(^\circ\)).
\begin{choices} %%%%%%% begin choices
    \choice  2.145E+03\,V
    \choice  2.359E+03\,V
    \CorrectChoice 2.595E+03\,V
    \choice  2.855E+03\,V
    \choice  3.140E+03\,V
\end{choices} %%% end choices

\question Assume that a 6\,nC charge is situated at the origin.  Calculate the the magnitude (absolute value) of the potential difference between points P\textsubscript{1} and  P\textsubscript{2} where the polar coordinates (r,\textphi\ ) of  P\textsubscript{1} are  (9\,cm,\,0\(^\circ\)) and  P\textsubscript{2} is at (16\,cm,\,71\(^\circ\)).
\begin{choices} %%%%%%% begin choices
    \choice  1.969E+02\,V
    \choice  2.166E+02\,V
    \choice  2.383E+02\,V
    \CorrectChoice 2.621E+02\,V
    \choice  2.884E+02\,V
\end{choices} %%% end choices

\question Assume that a 23\,nC charge is situated at the origin.  Calculate the the magnitude (absolute value) of the potential difference between points P\textsubscript{1} and  P\textsubscript{2} where the polar coordinates (r,\textphi\ ) of  P\textsubscript{1} are  (7\,cm,\,0\(^\circ\)) and  P\textsubscript{2} is at (13\,cm,\,18\(^\circ\)).
\begin{choices} %%%%%%% begin choices
    \choice  1.024E+03\,V
    \choice  1.126E+03\,V
    \choice  1.239E+03\,V
    \CorrectChoice 1.363E+03\,V
    \choice  1.499E+03\,V
\end{choices} %%% end choices

\question Assume that a 11\,nC charge is situated at the origin.  Calculate the the magnitude (absolute value) of the potential difference between points P\textsubscript{1} and  P\textsubscript{2} where the polar coordinates (r,\textphi\ ) of  P\textsubscript{1} are  (9\,cm,\,0\(^\circ\)) and  P\textsubscript{2} is at (12\,cm,\,14\(^\circ\)).
\begin{choices} %%%%%%% begin choices
    \choice  1.876E+02\,V
    \choice  2.063E+02\,V
    \choice  2.270E+02\,V
    \choice  2.497E+02\,V
    \CorrectChoice 2.746E+02\,V
\end{choices} %%% end choices

\question Assume that a 15\,nC charge is situated at the origin.  Calculate the the magnitude (absolute value) of the potential difference between points P\textsubscript{1} and  P\textsubscript{2} where the polar coordinates (r,\textphi\ ) of  P\textsubscript{1} are  (5\,cm,\,0\(^\circ\)) and  P\textsubscript{2} is at (14\,cm,\,77\(^\circ\)).
\begin{choices} %%%%%%% begin choices
    \choice  1.184E+03\,V
    \choice  1.302E+03\,V
    \choice  1.432E+03\,V
    \choice  1.576E+03\,V
    \CorrectChoice 1.733E+03\,V
\end{choices} %%% end choices

\question Assume that a 26\,nC charge is situated at the origin.  Calculate the the magnitude (absolute value) of the potential difference between points P\textsubscript{1} and  P\textsubscript{2} where the polar coordinates (r,\textphi\ ) of  P\textsubscript{1} are  (9\,cm,\,0\(^\circ\)) and  P\textsubscript{2} is at (13\,cm,\,42\(^\circ\)).
\begin{choices} %%%%%%% begin choices
    \choice  7.263E+02\,V
    \CorrectChoice 7.989E+02\,V
    \choice  8.788E+02\,V
    \choice  9.667E+02\,V
    \choice  1.063E+03\,V
\end{choices} %%% end choices

\question Assume that a 16\,nC charge is situated at the origin.  Calculate the the magnitude (absolute value) of the potential difference between points P\textsubscript{1} and  P\textsubscript{2} where the polar coordinates (r,\textphi\ ) of  P\textsubscript{1} are  (6\,cm,\,0\(^\circ\)) and  P\textsubscript{2} is at (14\,cm,\,27\(^\circ\)).
\begin{choices} %%%%%%% begin choices
    \choice  9.354E+02\,V
    \choice  1.029E+03\,V
    \choice  1.132E+03\,V
    \choice  1.245E+03\,V
    \CorrectChoice 1.370E+03\,V
\end{choices} %%% end choices

\question Assume that a 17\,nC charge is situated at the origin.  Calculate the the magnitude (absolute value) of the potential difference between points P\textsubscript{1} and  P\textsubscript{2} where the polar coordinates (r,\textphi\ ) of  P\textsubscript{1} are  (6\,cm,\,0\(^\circ\)) and  P\textsubscript{2} is at (15\,cm,\,48\(^\circ\)).
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.528E+03\,V
    \choice  1.681E+03\,V
    \choice  1.849E+03\,V
    \choice  2.034E+03\,V
    \choice  2.237E+03\,V
\end{choices} %%% end choices

\question Assume that a 29\,nC charge is situated at the origin.  Calculate the the magnitude (absolute value) of the potential difference between points P\textsubscript{1} and  P\textsubscript{2} where the polar coordinates (r,\textphi\ ) of  P\textsubscript{1} are  (6\,cm,\,0\(^\circ\)) and  P\textsubscript{2} is at (12\,cm,\,77\(^\circ\)).
\begin{choices} %%%%%%% begin choices
    \choice  1.483E+03\,V
    \choice  1.632E+03\,V
    \choice  1.795E+03\,V
    \choice  1.975E+03\,V
    \CorrectChoice 2.172E+03\,V
\end{choices} %%% end choices

\question Assume that a 22\,nC charge is situated at the origin.  Calculate the the magnitude (absolute value) of the potential difference between points P\textsubscript{1} and  P\textsubscript{2} where the polar coordinates (r,\textphi\ ) of  P\textsubscript{1} are  (9\,cm,\,0\(^\circ\)) and  P\textsubscript{2} is at (12\,cm,\,53\(^\circ\)).
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 5.492E+02\,V
    \choice  6.042E+02\,V
    \choice  6.646E+02\,V
    \choice  7.310E+02\,V
    \choice  8.041E+02\,V
\end{choices} %%% end choices

\question Assume that a 6\,nC charge is situated at the origin.  Calculate the the magnitude (absolute value) of the potential difference between points P\textsubscript{1} and  P\textsubscript{2} where the polar coordinates (r,\textphi\ ) of  P\textsubscript{1} are  (7\,cm,\,0\(^\circ\)) and  P\textsubscript{2} is at (16\,cm,\,11\(^\circ\)).
\begin{choices} %%%%%%% begin choices
    \choice  3.581E+02\,V
    \choice  3.939E+02\,V
    \CorrectChoice 4.333E+02\,V
    \choice  4.767E+02\,V
    \choice  5.243E+02\,V
\end{choices} %%% end choices

\question Assume that a 14\,nC charge is situated at the origin.  Calculate the the magnitude (absolute value) of the potential difference between points P\textsubscript{1} and  P\textsubscript{2} where the polar coordinates (r,\textphi\ ) of  P\textsubscript{1} are  (9\,cm,\,0\(^\circ\)) and  P\textsubscript{2} is at (15\,cm,\,22\(^\circ\)).
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 5.592E+02\,V
    \choice  6.151E+02\,V
    \choice  6.767E+02\,V
    \choice  7.443E+02\,V
    \choice  8.188E+02\,V
\end{choices} %%% end choices

\question Assume that a 3\,nC charge is situated at the origin.  Calculate the the magnitude (absolute value) of the potential difference between points P\textsubscript{1} and  P\textsubscript{2} where the polar coordinates (r,\textphi\ ) of  P\textsubscript{1} are  (6\,cm,\,0\(^\circ\)) and  P\textsubscript{2} is at (12\,cm,\,32\(^\circ\)).
\begin{choices} %%%%%%% begin choices
    \choice  1.857E+02\,V
    \choice  2.043E+02\,V
    \CorrectChoice 2.247E+02\,V
    \choice  2.472E+02\,V
    \choice  2.719E+02\,V
\end{choices} %%% end choices

\question Assume that a 5\,nC charge is situated at the origin.  Calculate the the magnitude (absolute value) of the potential difference between points P\textsubscript{1} and  P\textsubscript{2} where the polar coordinates (r,\textphi\ ) of  P\textsubscript{1} are  (9\,cm,\,0\(^\circ\)) and  P\textsubscript{2} is at (13\,cm,\,31\(^\circ\)).
\begin{choices} %%%%%%% begin choices
    \choice  1.397E+02\,V
    \CorrectChoice 1.536E+02\,V
    \choice  1.690E+02\,V
    \choice  1.859E+02\,V
    \choice  2.045E+02\,V
\end{choices} %%% end choices

\question Assume that a 17\,nC charge is situated at the origin.  Calculate the the magnitude (absolute value) of the potential difference between points P\textsubscript{1} and  P\textsubscript{2} where the polar coordinates (r,\textphi\ ) of  P\textsubscript{1} are  (9\,cm,\,0\(^\circ\)) and  P\textsubscript{2} is at (12\,cm,\,15\(^\circ\)).
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 4.244E+02\,V
    \choice  4.669E+02\,V
    \choice  5.135E+02\,V
    \choice  5.649E+02\,V
    \choice  6.214E+02\,V
\end{choices} %%% end choices

\question Assume that a 25\,nC charge is situated at the origin.  Calculate the the magnitude (absolute value) of the potential difference between points P\textsubscript{1} and  P\textsubscript{2} where the polar coordinates (r,\textphi\ ) of  P\textsubscript{1} are  (5\,cm,\,0\(^\circ\)) and  P\textsubscript{2} is at (13\,cm,\,70\(^\circ\)).
\begin{choices} %%%%%%% begin choices
    \choice  2.285E+03\,V
    \choice  2.514E+03\,V
    \CorrectChoice 2.765E+03\,V
    \choice  3.042E+03\,V
    \choice  3.346E+03\,V
\end{choices} %%% end choices

\question Assume that a 24\,nC charge is situated at the origin.  Calculate the the magnitude (absolute value) of the potential difference between points P\textsubscript{1} and  P\textsubscript{2} where the polar coordinates (r,\textphi\ ) of  P\textsubscript{1} are  (9\,cm,\,0\(^\circ\)) and  P\textsubscript{2} is at (13\,cm,\,27\(^\circ\)).
\begin{choices} %%%%%%% begin choices
    \choice  5.540E+02\,V
    \choice  6.095E+02\,V
    \choice  6.704E+02\,V
    \CorrectChoice 7.374E+02\,V
    \choice  8.112E+02\,V
\end{choices} %%% end choices

\question Assume that a 6\,nC charge is situated at the origin.  Calculate the the magnitude (absolute value) of the potential difference between points P\textsubscript{1} and  P\textsubscript{2} where the polar coordinates (r,\textphi\ ) of  P\textsubscript{1} are  (8\,cm,\,0\(^\circ\)) and  P\textsubscript{2} is at (14\,cm,\,34\(^\circ\)).
\begin{choices} %%%%%%% begin choices
    \choice  2.626E+02\,V
    \CorrectChoice 2.889E+02\,V
    \choice  3.178E+02\,V
    \choice  3.496E+02\,V
    \choice  3.845E+02\,V
\end{choices} %%% end choices

\question Assume that a 4\,nC charge is situated at the origin.  Calculate the the magnitude (absolute value) of the potential difference between points P\textsubscript{1} and  P\textsubscript{2} where the polar coordinates (r,\textphi\ ) of  P\textsubscript{1} are  (5\,cm,\,0\(^\circ\)) and  P\textsubscript{2} is at (15\,cm,\,59\(^\circ\)).
\begin{choices} %%%%%%% begin choices
    \choice  3.961E+02\,V
    \choice  4.358E+02\,V
    \CorrectChoice 4.793E+02\,V
    \choice  5.273E+02\,V
    \choice  5.800E+02\,V
\end{choices} %%% end choices
%\pagebreak
%\end{choices}%??????????????
\end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 8

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

\question 
    \includegraphics[width=0.12\textwidth]{bandgeneratorcropped.png}A Van de Graff generator has a 81\,cm diameter metal sphere that produces 235\,kV near its surface.  What  is the excess charge on the sphere?
\begin{choices} %%%%%%% begin choices
    \choice  9.627E+00\,\textmu\ C
    \CorrectChoice 1.059E+01\,\textmu\ C
    \choice  1.165E+01\,\textmu\ C
    \choice  1.281E+01\,\textmu\ C
    \choice  1.409E+01\,\textmu\ C
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.12\textwidth]{bandgeneratorcropped.png}A Van de Graff generator has a 85\,cm diameter metal sphere that produces 235\,kV near its surface.  What  is the excess charge on the sphere?
\begin{choices} %%%%%%% begin choices
    \choice  9.184E+00\,\textmu\ C
    \choice  1.010E+01\,\textmu\ C
    \CorrectChoice 1.111E+01\,\textmu\ C
    \choice  1.222E+01\,\textmu\ C
    \choice  1.345E+01\,\textmu\ C
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.12\textwidth]{bandgeneratorcropped.png}A Van de Graff generator has a 124\,cm diameter metal sphere that produces 270\,kV near its surface.  What  is the excess charge on the sphere?
\begin{choices} %%%%%%% begin choices
    \choice  1.539E+01\,\textmu\ C
    \choice  1.693E+01\,\textmu\ C
    \CorrectChoice 1.863E+01\,\textmu\ C
    \choice  2.049E+01\,\textmu\ C
    \choice  2.254E+01\,\textmu\ C
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.12\textwidth]{bandgeneratorcropped.png}A Van de Graff generator has a 116\,cm diameter metal sphere that produces 246\,kV near its surface.  What  is the excess charge on the sphere?
\begin{choices} %%%%%%% begin choices
    \choice  1.193E+01\,\textmu\ C
    \choice  1.312E+01\,\textmu\ C
    \choice  1.443E+01\,\textmu\ C
    \CorrectChoice 1.588E+01\,\textmu\ C
    \choice  1.746E+01\,\textmu\ C
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.12\textwidth]{bandgeneratorcropped.png}A Van de Graff generator has a 140\,cm diameter metal sphere that produces 244\,kV near its surface.  What  is the excess charge on the sphere?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.900E+01\,\textmu\ C
    \choice  2.090E+01\,\textmu\ C
    \choice  2.299E+01\,\textmu\ C
    \choice  2.529E+01\,\textmu\ C
    \choice  2.782E+01\,\textmu\ C
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.12\textwidth]{bandgeneratorcropped.png}A Van de Graff generator has a 114\,cm diameter metal sphere that produces 289\,kV near its surface.  What  is the excess charge on the sphere?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.833E+01\,\textmu\ C
    \choice  2.016E+01\,\textmu\ C
    \choice  2.218E+01\,\textmu\ C
    \choice  2.440E+01\,\textmu\ C
    \choice  2.684E+01\,\textmu\ C
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.12\textwidth]{bandgeneratorcropped.png}A Van de Graff generator has a 105\,cm diameter metal sphere that produces 227\,kV near its surface.  What  is the excess charge on the sphere?
\begin{choices} %%%%%%% begin choices
    \choice  1.205E+01\,\textmu\ C
    \CorrectChoice 1.326E+01\,\textmu\ C
    \choice  1.459E+01\,\textmu\ C
    \choice  1.604E+01\,\textmu\ C
    \choice  1.765E+01\,\textmu\ C
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.12\textwidth]{bandgeneratorcropped.png}A Van de Graff generator has a 114\,cm diameter metal sphere that produces 275\,kV near its surface.  What  is the excess charge on the sphere?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.744E+01\,\textmu\ C
    \choice  1.918E+01\,\textmu\ C
    \choice  2.110E+01\,\textmu\ C
    \choice  2.321E+01\,\textmu\ C
    \choice  2.554E+01\,\textmu\ C
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.12\textwidth]{bandgeneratorcropped.png}A Van de Graff generator has a 76\,cm diameter metal sphere that produces 193\,kV near its surface.  What  is the excess charge on the sphere?
\begin{choices} %%%%%%% begin choices
    \choice  7.418E+00\,\textmu\ C
    \CorrectChoice 8.160E+00\,\textmu\ C
    \choice  8.976E+00\,\textmu\ C
    \choice  9.874E+00\,\textmu\ C
    \choice  1.086E+01\,\textmu\ C
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.12\textwidth]{bandgeneratorcropped.png}A Van de Graff generator has a 149\,cm diameter metal sphere that produces 172\,kV near its surface.  What  is the excess charge on the sphere?
\begin{choices} %%%%%%% begin choices
    \choice  1.071E+01\,\textmu\ C
    \choice  1.178E+01\,\textmu\ C
    \choice  1.296E+01\,\textmu\ C
    \CorrectChoice 1.426E+01\,\textmu\ C
    \choice  1.568E+01\,\textmu\ C
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.12\textwidth]{bandgeneratorcropped.png}A Van de Graff generator has a 107\,cm diameter metal sphere that produces 219\,kV near its surface.  What  is the excess charge on the sphere?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.304E+01\,\textmu\ C
    \choice  1.434E+01\,\textmu\ C
    \choice  1.577E+01\,\textmu\ C
    \choice  1.735E+01\,\textmu\ C
    \choice  1.909E+01\,\textmu\ C
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.12\textwidth]{bandgeneratorcropped.png}A Van de Graff generator has a 95\,cm diameter metal sphere that produces 187\,kV near its surface.  What  is the excess charge on the sphere?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 9.883E+00\,\textmu\ C
    \choice  1.087E+01\,\textmu\ C
    \choice  1.196E+01\,\textmu\ C
    \choice  1.315E+01\,\textmu\ C
    \choice  1.447E+01\,\textmu\ C
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.12\textwidth]{bandgeneratorcropped.png}A Van de Graff generator has a 105\,cm diameter metal sphere that produces 210\,kV near its surface.  What  is the excess charge on the sphere?
\begin{choices} %%%%%%% begin choices
    \choice  9.216E+00\,\textmu\ C
    \choice  1.014E+01\,\textmu\ C
    \choice  1.115E+01\,\textmu\ C
    \CorrectChoice 1.227E+01\,\textmu\ C
    \choice  1.349E+01\,\textmu\ C
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.12\textwidth]{bandgeneratorcropped.png}A Van de Graff generator has a 129\,cm diameter metal sphere that produces 174\,kV near its surface.  What  is the excess charge on the sphere?
\begin{choices} %%%%%%% begin choices
    \choice  1.032E+01\,\textmu\ C
    \choice  1.135E+01\,\textmu\ C
    \CorrectChoice 1.249E+01\,\textmu\ C
    \choice  1.374E+01\,\textmu\ C
    \choice  1.511E+01\,\textmu\ C
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.12\textwidth]{bandgeneratorcropped.png}A Van de Graff generator has a 95\,cm diameter metal sphere that produces 190\,kV near its surface.  What  is the excess charge on the sphere?
\begin{choices} %%%%%%% begin choices
    \choice  9.129E+00\,\textmu\ C
    \CorrectChoice 1.004E+01\,\textmu\ C
    \choice  1.105E+01\,\textmu\ C
    \choice  1.215E+01\,\textmu\ C
    \choice  1.337E+01\,\textmu\ C
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.12\textwidth]{bandgeneratorcropped.png}A Van de Graff generator has a 126\,cm diameter metal sphere that produces 290\,kV near its surface.  What  is the excess charge on the sphere?
\begin{choices} %%%%%%% begin choices
    \choice  1.388E+01\,\textmu\ C
    \choice  1.527E+01\,\textmu\ C
    \choice  1.680E+01\,\textmu\ C
    \choice  1.848E+01\,\textmu\ C
    \CorrectChoice 2.033E+01\,\textmu\ C
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.12\textwidth]{bandgeneratorcropped.png}A Van de Graff generator has a 72\,cm diameter metal sphere that produces 285\,kV near its surface.  What  is the excess charge on the sphere?
\begin{choices} %%%%%%% begin choices
    \choice  1.038E+01\,\textmu\ C
    \CorrectChoice 1.142E+01\,\textmu\ C
    \choice  1.256E+01\,\textmu\ C
    \choice  1.381E+01\,\textmu\ C
    \choice  1.519E+01\,\textmu\ C
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.12\textwidth]{bandgeneratorcropped.png}A Van de Graff generator has a 141\,cm diameter metal sphere that produces 280\,kV near its surface.  What  is the excess charge on the sphere?
\begin{choices} %%%%%%% begin choices
    \choice  1.500E+01\,\textmu\ C
    \choice  1.650E+01\,\textmu\ C
    \choice  1.815E+01\,\textmu\ C
    \choice  1.997E+01\,\textmu\ C
    \CorrectChoice 2.196E+01\,\textmu\ C
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.12\textwidth]{bandgeneratorcropped.png}A Van de Graff generator has a 119\,cm diameter metal sphere that produces 248\,kV near its surface.  What  is the excess charge on the sphere?
\begin{choices} %%%%%%% begin choices
    \choice  1.234E+01\,\textmu\ C
    \choice  1.357E+01\,\textmu\ C
    \choice  1.493E+01\,\textmu\ C
    \CorrectChoice 1.642E+01\,\textmu\ C
    \choice  1.806E+01\,\textmu\ C
\end{choices} %%% end choices
%\pagebreak
%\end{choices}%??????????????
\end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 9

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

\question 
    \includegraphics[width=0.17\textwidth]{electricmanylinescropped.png}A diploe has a charge magnitude of q=9\,nC and a separation distance of d=4.25\,cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.51\,cm,\,y=2.12\,cm)? Note that following the textbook's example, the y-value of the field point at  2.12\,cm matches the disance of the positive charge above the x-axis.
\begin{choices} %%%%%%% begin choices
    \choice  6.901E+02\,V
    \choice  7.591E+02\,V
    \CorrectChoice 8.350E+02\,V
    \choice  9.185E+02\,V
    \choice  1.010E+03\,V
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.17\textwidth]{electricmanylinescropped.png}A diploe has a charge magnitude of q=6\,nC and a separation distance of d=3.89\,cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.24\,cm,\,y=1.95\,cm)? Note that following the textbook's example, the y-value of the field point at  1.95\,cm matches the disance of the positive charge above the x-axis.
\begin{choices} %%%%%%% begin choices
    \choice  4.104E+02\,V
    \choice  4.514E+02\,V
    \choice  4.965E+02\,V
    \choice  5.462E+02\,V
    \CorrectChoice 6.008E+02\,V
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.17\textwidth]{electricmanylinescropped.png}A diploe has a charge magnitude of q=4\,nC and a separation distance of d=4.16\,cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.16\,cm,\,y=2.08\,cm)? Note that following the textbook's example, the y-value of the field point at  2.08\,cm matches the disance of the positive charge above the x-axis.
\begin{choices} %%%%%%% begin choices
    \choice  3.070E+02\,V
    \choice  3.377E+02\,V
    \choice  3.715E+02\,V
    \choice  4.086E+02\,V
    \CorrectChoice 4.495E+02\,V
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.17\textwidth]{electricmanylinescropped.png}A diploe has a charge magnitude of q=7\,nC and a separation distance of d=4.08\,cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.16\,cm,\,y=2.04\,cm)? Note that following the textbook's example, the y-value of the field point at  2.04\,cm matches the disance of the positive charge above the x-axis.
\begin{choices} %%%%%%% begin choices
    \choice  7.017E+02\,V
    \CorrectChoice 7.718E+02\,V
    \choice  8.490E+02\,V
    \choice  9.339E+02\,V
    \choice  1.027E+03\,V
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.17\textwidth]{electricmanylinescropped.png}A diploe has a charge magnitude of q=5\,nC and a separation distance of d=3.51\,cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.85\,cm,\,y=1.75\,cm)? Note that following the textbook's example, the y-value of the field point at  1.75\,cm matches the disance of the positive charge above the x-axis.
\begin{choices} %%%%%%% begin choices
    \choice  2.073E+02\,V
    \choice  2.281E+02\,V
    \choice  2.509E+02\,V
    \choice  2.760E+02\,V
    \CorrectChoice 3.035E+02\,V
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.17\textwidth]{electricmanylinescropped.png}A diploe has a charge magnitude of q=9\,nC and a separation distance of d=4.48\,cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.8\,cm,\,y=2.24\,cm)? Note that following the textbook's example, the y-value of the field point at  2.24\,cm matches the disance of the positive charge above the x-axis.
\begin{choices} %%%%%%% begin choices
    \choice  5.134E+02\,V
    \choice  5.648E+02\,V
    \choice  6.212E+02\,V
    \choice  6.834E+02\,V
    \CorrectChoice 7.517E+02\,V
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.17\textwidth]{electricmanylinescropped.png}A diploe has a charge magnitude of q=4\,nC and a separation distance of d=4.07\,cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.88\,cm,\,y=2.04\,cm)? Note that following the textbook's example, the y-value of the field point at  2.04\,cm matches the disance of the positive charge above the x-axis.
\begin{choices} %%%%%%% begin choices
    \choice  2.164E+02\,V
    \choice  2.381E+02\,V
    \choice  2.619E+02\,V
    \CorrectChoice 2.880E+02\,V
    \choice  3.168E+02\,V
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.17\textwidth]{electricmanylinescropped.png}A diploe has a charge magnitude of q=5\,nC and a separation distance of d=4.39\,cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.56\,cm,\,y=2.19\,cm)? Note that following the textbook's example, the y-value of the field point at  2.19\,cm matches the disance of the positive charge above the x-axis.
\begin{choices} %%%%%%% begin choices
    \choice  3.852E+02\,V
    \choice  4.238E+02\,V
    \CorrectChoice 4.661E+02\,V
    \choice  5.127E+02\,V
    \choice  5.640E+02\,V
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.17\textwidth]{electricmanylinescropped.png}A diploe has a charge magnitude of q=5\,nC and a separation distance of d=4.29\,cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.33\,cm,\,y=2.15\,cm)? Note that following the textbook's example, the y-value of the field point at  2.15\,cm matches the disance of the positive charge above the x-axis.
\begin{choices} %%%%%%% begin choices
    \choice  4.324E+02\,V
    \choice  4.757E+02\,V
    \CorrectChoice 5.232E+02\,V
    \choice  5.755E+02\,V
    \choice  6.331E+02\,V
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.17\textwidth]{electricmanylinescropped.png}A diploe has a charge magnitude of q=5\,nC and a separation distance of d=4.09\,cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.45\,cm,\,y=2.04\,cm)? Note that following the textbook's example, the y-value of the field point at  2.04\,cm matches the disance of the positive charge above the x-axis.
\begin{choices} %%%%%%% begin choices
    \choice  3.814E+02\,V
    \choice  4.195E+02\,V
    \CorrectChoice 4.615E+02\,V
    \choice  5.077E+02\,V
    \choice  5.584E+02\,V
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.17\textwidth]{electricmanylinescropped.png}A diploe has a charge magnitude of q=5\,nC and a separation distance of d=3.85\,cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.18\,cm,\,y=1.93\,cm)? Note that following the textbook's example, the y-value of the field point at  1.93\,cm matches the disance of the positive charge above the x-axis.
\begin{choices} %%%%%%% begin choices
    \choice  3.866E+02\,V
    \choice  4.253E+02\,V
    \choice  4.678E+02\,V
    \CorrectChoice 5.146E+02\,V
    \choice  5.661E+02\,V
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.17\textwidth]{electricmanylinescropped.png}A diploe has a charge magnitude of q=4\,nC and a separation distance of d=3.79\,cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.2\,cm,\,y=1.9\,cm)? Note that following the textbook's example, the y-value of the field point at  1.9\,cm matches the disance of the positive charge above the x-axis.
\begin{choices} %%%%%%% begin choices
    \choice  2.731E+02\,V
    \choice  3.004E+02\,V
    \choice  3.304E+02\,V
    \choice  3.634E+02\,V
    \CorrectChoice 3.998E+02\,V
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.17\textwidth]{electricmanylinescropped.png}A diploe has a charge magnitude of q=6\,nC and a separation distance of d=4.06\,cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.28\,cm,\,y=2.03\,cm)? Note that following the textbook's example, the y-value of the field point at  2.03\,cm matches the disance of the positive charge above the x-axis.
\begin{choices} %%%%%%% begin choices
    \choice  4.590E+02\,V
    \choice  5.049E+02\,V
    \choice  5.554E+02\,V
    \CorrectChoice 6.109E+02\,V
    \choice  6.720E+02\,V
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.17\textwidth]{electricmanylinescropped.png}A diploe has a charge magnitude of q=8\,nC and a separation distance of d=3.55\,cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.43\,cm,\,y=1.77\,cm)? Note that following the textbook's example, the y-value of the field point at  1.77\,cm matches the disance of the positive charge above the x-axis.
\begin{choices} %%%%%%% begin choices
    \choice  5.796E+02\,V
    \CorrectChoice 6.375E+02\,V
    \choice  7.013E+02\,V
    \choice  7.714E+02\,V
    \choice  8.486E+02\,V
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.17\textwidth]{electricmanylinescropped.png}A diploe has a charge magnitude of q=7\,nC and a separation distance of d=4.48\,cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.69\,cm,\,y=2.24\,cm)? Note that following the textbook's example, the y-value of the field point at  2.24\,cm matches the disance of the positive charge above the x-axis.
\begin{choices} %%%%%%% begin choices
    \choice  5.645E+02\,V
    \CorrectChoice 6.210E+02\,V
    \choice  6.831E+02\,V
    \choice  7.514E+02\,V
    \choice  8.266E+02\,V
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.17\textwidth]{electricmanylinescropped.png}A diploe has a charge magnitude of q=9\,nC and a separation distance of d=4.31\,cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.47\,cm,\,y=2.15\,cm)? Note that following the textbook's example, the y-value of the field point at  2.15\,cm matches the disance of the positive charge above the x-axis.
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 8.672E+02\,V
    \choice  9.539E+02\,V
    \choice  1.049E+03\,V
    \choice  1.154E+03\,V
    \choice  1.270E+03\,V
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.17\textwidth]{electricmanylinescropped.png}A diploe has a charge magnitude of q=7\,nC and a separation distance of d=4.17\,cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.51\,cm,\,y=2.08\,cm)? Note that following the textbook's example, the y-value of the field point at  2.08\,cm matches the disance of the positive charge above the x-axis.
\begin{choices} %%%%%%% begin choices
    \choice  5.261E+02\,V
    \choice  5.787E+02\,V
    \CorrectChoice 6.365E+02\,V
    \choice  7.002E+02\,V
    \choice  7.702E+02\,V
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.17\textwidth]{electricmanylinescropped.png}A diploe has a charge magnitude of q=5\,nC and a separation distance of d=3.57\,cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.59\,cm,\,y=1.78\,cm)? Note that following the textbook's example, the y-value of the field point at  1.78\,cm matches the disance of the positive charge above the x-axis.
\begin{choices} %%%%%%% begin choices
    \choice  2.727E+02\,V
    \choice  2.999E+02\,V
    \choice  3.299E+02\,V
    \CorrectChoice 3.629E+02\,V
    \choice  3.992E+02\,V
\end{choices} %%% end choices

\question 
    \includegraphics[width=0.17\textwidth]{electricmanylinescropped.png}A diploe has a charge magnitude of q=9\,nC and a separation distance of d=4.3\,cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.86\,cm,\,y=2.15\,cm)? Note that following the textbook's example, the y-value of the field point at  2.15\,cm matches the disance of the positive charge above the x-axis.
\begin{choices} %%%%%%% begin choices
    \choice  6.325E+02\,V
    \CorrectChoice 6.957E+02\,V
    \choice  7.653E+02\,V
    \choice  8.418E+02\,V
    \choice  9.260E+02\,V
\end{choices} %%% end choices
%\pagebreak
%\end{choices}%??????????????
\end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 10

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

\question If a 22\,nC charge is situated at the origin, the  equipotential surface for V(x,y,z)=16\,V is x\textsuperscript{2}\,+\,y\textsuperscript{2}\,+\,z\textsuperscript{2}\,=\,R\textsuperscript{2}, where R=  
\begin{choices} %%%%%%% begin choices
    \choice  8.441E+00\,m
    \choice  9.285E+00\,m
    \choice  1.021E+01\,m
    \choice  1.123E+01\,m
    \CorrectChoice 1.236E+01\,m
\end{choices} %%% end choices

\question If a 14\,nC charge is situated at the origin, the  equipotential surface for V(x,y,z)=83\,V is x\textsuperscript{2}\,+\,y\textsuperscript{2}\,+\,z\textsuperscript{2}\,=\,R\textsuperscript{2}, where R=  
\begin{choices} %%%%%%% begin choices
    \choice  1.378E+00\,m
    \CorrectChoice 1.516E+00\,m
    \choice  1.668E+00\,m
    \choice  1.834E+00\,m
    \choice  2.018E+00\,m
\end{choices} %%% end choices

\question If a 20\,nC charge is situated at the origin, the  equipotential surface for V(x,y,z)=70\,V is x\textsuperscript{2}\,+\,y\textsuperscript{2}\,+\,z\textsuperscript{2}\,=\,R\textsuperscript{2}, where R=  
\begin{choices} %%%%%%% begin choices
    \choice  1.754E+00\,m
    \choice  1.929E+00\,m
    \choice  2.122E+00\,m
    \choice  2.334E+00\,m
    \CorrectChoice 2.568E+00\,m
\end{choices} %%% end choices

\question If a 28\,nC charge is situated at the origin, the  equipotential surface for V(x,y,z)=77\,V is x\textsuperscript{2}\,+\,y\textsuperscript{2}\,+\,z\textsuperscript{2}\,=\,R\textsuperscript{2}, where R=  
\begin{choices} %%%%%%% begin choices
    \choice  2.701E+00\,m
    \choice  2.971E+00\,m
    \CorrectChoice 3.268E+00\,m
    \choice  3.595E+00\,m
    \choice  3.955E+00\,m
\end{choices} %%% end choices

\question If a 16\,nC charge is situated at the origin, the  equipotential surface for V(x,y,z)=76\,V is x\textsuperscript{2}\,+\,y\textsuperscript{2}\,+\,z\textsuperscript{2}\,=\,R\textsuperscript{2}, where R=  
\begin{choices} %%%%%%% begin choices
    \choice  1.422E+00\,m
    \choice  1.564E+00\,m
    \choice  1.720E+00\,m
    \CorrectChoice 1.892E+00\,m
    \choice  2.081E+00\,m
\end{choices} %%% end choices

\question If a 23\,nC charge is situated at the origin, the  equipotential surface for V(x,y,z)=62\,V is x\textsuperscript{2}\,+\,y\textsuperscript{2}\,+\,z\textsuperscript{2}\,=\,R\textsuperscript{2}, where R=  
\begin{choices} %%%%%%% begin choices
    \choice  2.277E+00\,m
    \choice  2.505E+00\,m
    \choice  2.755E+00\,m
    \choice  3.031E+00\,m
    \CorrectChoice 3.334E+00\,m
\end{choices} %%% end choices

\question If a 11\,nC charge is situated at the origin, the  equipotential surface for V(x,y,z)=61\,V is x\textsuperscript{2}\,+\,y\textsuperscript{2}\,+\,z\textsuperscript{2}\,=\,R\textsuperscript{2}, where R=  
\begin{choices} %%%%%%% begin choices
    \choice  1.107E+00\,m
    \choice  1.218E+00\,m
    \choice  1.339E+00\,m
    \choice  1.473E+00\,m
    \CorrectChoice 1.621E+00\,m
\end{choices} %%% end choices

\question If a 29\,nC charge is situated at the origin, the  equipotential surface for V(x,y,z)=81\,V is x\textsuperscript{2}\,+\,y\textsuperscript{2}\,+\,z\textsuperscript{2}\,=\,R\textsuperscript{2}, where R=  
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 3.218E+00\,m
    \choice  3.540E+00\,m
    \choice  3.893E+00\,m
    \choice  4.283E+00\,m
    \choice  4.711E+00\,m
\end{choices} %%% end choices

\question If a 24\,nC charge is situated at the origin, the  equipotential surface for V(x,y,z)=97\,V is x\textsuperscript{2}\,+\,y\textsuperscript{2}\,+\,z\textsuperscript{2}\,=\,R\textsuperscript{2}, where R=  
\begin{choices} %%%%%%% begin choices
    \choice  1.838E+00\,m
    \choice  2.022E+00\,m
    \CorrectChoice 2.224E+00\,m
    \choice  2.446E+00\,m
    \choice  2.691E+00\,m
\end{choices} %%% end choices

\question If a 14\,nC charge is situated at the origin, the  equipotential surface for V(x,y,z)=26\,V is x\textsuperscript{2}\,+\,y\textsuperscript{2}\,+\,z\textsuperscript{2}\,=\,R\textsuperscript{2}, where R=  
\begin{choices} %%%%%%% begin choices
    \choice  3.636E+00\,m
    \choice  4.000E+00\,m
    \choice  4.399E+00\,m
    \CorrectChoice 4.839E+00\,m
    \choice  5.323E+00\,m
\end{choices} %%% end choices

\question If a 11\,nC charge is situated at the origin, the  equipotential surface for V(x,y,z)=43\,V is x\textsuperscript{2}\,+\,y\textsuperscript{2}\,+\,z\textsuperscript{2}\,=\,R\textsuperscript{2}, where R=  
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 2.299E+00\,m
    \choice  2.529E+00\,m
    \choice  2.782E+00\,m
    \choice  3.060E+00\,m
    \choice  3.366E+00\,m
\end{choices} %%% end choices

\question If a 16\,nC charge is situated at the origin, the  equipotential surface for V(x,y,z)=19\,V is x\textsuperscript{2}\,+\,y\textsuperscript{2}\,+\,z\textsuperscript{2}\,=\,R\textsuperscript{2}, where R=  
\begin{choices} %%%%%%% begin choices
    \choice  5.169E+00\,m
    \choice  5.686E+00\,m
    \choice  6.255E+00\,m
    \choice  6.880E+00\,m
    \CorrectChoice 7.568E+00\,m
\end{choices} %%% end choices

\question If a 13\,nC charge is situated at the origin, the  equipotential surface for V(x,y,z)=84\,V is x\textsuperscript{2}\,+\,y\textsuperscript{2}\,+\,z\textsuperscript{2}\,=\,R\textsuperscript{2}, where R=  
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 1.391E+00\,m
    \choice  1.530E+00\,m
    \choice  1.683E+00\,m
    \choice  1.851E+00\,m
    \choice  2.036E+00\,m
\end{choices} %%% end choices

\question If a 26\,nC charge is situated at the origin, the  equipotential surface for V(x,y,z)=21\,V is x\textsuperscript{2}\,+\,y\textsuperscript{2}\,+\,z\textsuperscript{2}\,=\,R\textsuperscript{2}, where R=  
\begin{choices} %%%%%%% begin choices
    \choice  8.360E+00\,m
    \choice  9.196E+00\,m
    \choice  1.012E+01\,m
    \CorrectChoice 1.113E+01\,m
    \choice  1.224E+01\,m
\end{choices} %%% end choices

\question If a 21\,nC charge is situated at the origin, the  equipotential surface for V(x,y,z)=94\,V is x\textsuperscript{2}\,+\,y\textsuperscript{2}\,+\,z\textsuperscript{2}\,=\,R\textsuperscript{2}, where R=  
\begin{choices} %%%%%%% begin choices
    \choice  1.371E+00\,m
    \choice  1.509E+00\,m
    \choice  1.659E+00\,m
    \choice  1.825E+00\,m
    \CorrectChoice 2.008E+00\,m
\end{choices} %%% end choices

\question If a 18\,nC charge is situated at the origin, the  equipotential surface for V(x,y,z)=12\,V is x\textsuperscript{2}\,+\,y\textsuperscript{2}\,+\,z\textsuperscript{2}\,=\,R\textsuperscript{2}, where R=  
\begin{choices} %%%%%%% begin choices
    \choice  1.114E+01\,m
    \choice  1.226E+01\,m
    \CorrectChoice 1.348E+01\,m
    \choice  1.483E+01\,m
    \choice  1.631E+01\,m
\end{choices} %%% end choices

\question If a 19\,nC charge is situated at the origin, the  equipotential surface for V(x,y,z)=73\,V is x\textsuperscript{2}\,+\,y\textsuperscript{2}\,+\,z\textsuperscript{2}\,=\,R\textsuperscript{2}, where R=  
\begin{choices} %%%%%%% begin choices
    \choice  1.598E+00\,m
    \choice  1.757E+00\,m
    \choice  1.933E+00\,m
    \choice  2.127E+00\,m
    \CorrectChoice 2.339E+00\,m
\end{choices} %%% end choices

\question If a 23\,nC charge is situated at the origin, the  equipotential surface for V(x,y,z)=66\,V is x\textsuperscript{2}\,+\,y\textsuperscript{2}\,+\,z\textsuperscript{2}\,=\,R\textsuperscript{2}, where R=  
\begin{choices} %%%%%%% begin choices
    \choice  2.139E+00\,m
    \choice  2.353E+00\,m
    \choice  2.588E+00\,m
    \choice  2.847E+00\,m
    \CorrectChoice 3.132E+00\,m
\end{choices} %%% end choices

\question If a 14\,nC charge is situated at the origin, the  equipotential surface for V(x,y,z)=52\,V is x\textsuperscript{2}\,+\,y\textsuperscript{2}\,+\,z\textsuperscript{2}\,=\,R\textsuperscript{2}, where R=  
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 2.420E+00\,m
    \choice  2.662E+00\,m
    \choice  2.928E+00\,m
    \choice  3.221E+00\,m
    \choice  3.543E+00\,m
\end{choices} %%% end choices
%\pagebreak
%\end{choices}%??????????????
\end{questions}%%%%%%%% end questions

\subsection{}%%%% subsection 11

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

\question Two large parallel conducting plates are separated by 7.57\,mm. Equal and opposite surface charges of 7.830E-07\,C/m\textsuperscript{2} exist on the surfaces between the plates.  What is the distance between equipotential planes which differ by 57\,V?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 6.446E-01\,mm
    \choice  7.412E-01\,mm
    \choice  8.524E-01\,mm
    \choice  9.803E-01\,mm
    \choice  1.127E+00\,mm
\end{choices} %%% end choices

\question Two large parallel conducting plates are separated by 8.7\,mm. Equal and opposite surface charges of 7.220E-07\,C/m\textsuperscript{2} exist on the surfaces between the plates.  What is the distance between equipotential planes which differ by 67\,V?
\begin{choices} %%%%%%% begin choices
    \choice  4.698E-01\,mm
    \choice  5.402E-01\,mm
    \choice  6.213E-01\,mm
    \choice  7.145E-01\,mm
    \CorrectChoice 8.216E-01\,mm
\end{choices} %%% end choices

\question Two large parallel conducting plates are separated by 7.93\,mm. Equal and opposite surface charges of 7.720E-07\,C/m\textsuperscript{2} exist on the surfaces between the plates.  What is the distance between equipotential planes which differ by 77\,V?
\begin{choices} %%%%%%% begin choices
    \choice  6.678E-01\,mm
    \choice  7.679E-01\,mm
    \CorrectChoice 8.831E-01\,mm
    \choice  1.016E+00\,mm
    \choice  1.168E+00\,mm
\end{choices} %%% end choices

\question Two large parallel conducting plates are separated by 7.81\,mm. Equal and opposite surface charges of 7.440E-07\,C/m\textsuperscript{2} exist on the surfaces between the plates.  What is the distance between equipotential planes which differ by 80\,V?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 9.521E-01\,mm
    \choice  1.095E+00\,mm
    \choice  1.259E+00\,mm
    \choice  1.448E+00\,mm
    \choice  1.665E+00\,mm
\end{choices} %%% end choices

\question Two large parallel conducting plates are separated by 6.86\,mm. Equal and opposite surface charges of 7.540E-07\,C/m\textsuperscript{2} exist on the surfaces between the plates.  What is the distance between equipotential planes which differ by 79\,V?
\begin{choices} %%%%%%% begin choices
    \choice  6.100E-01\,mm
    \choice  7.015E-01\,mm
    \choice  8.067E-01\,mm
    \CorrectChoice 9.277E-01\,mm
    \choice  1.067E+00\,mm
\end{choices} %%% end choices

\question Two large parallel conducting plates are separated by 8.0\,mm. Equal and opposite surface charges of 7.520E-07\,C/m\textsuperscript{2} exist on the surfaces between the plates.  What is the distance between equipotential planes which differ by 61\,V?
\begin{choices} %%%%%%% begin choices
    \choice  5.431E-01\,mm
    \choice  6.245E-01\,mm
    \CorrectChoice 7.182E-01\,mm
    \choice  8.260E-01\,mm
    \choice  9.499E-01\,mm
\end{choices} %%% end choices

\question Two large parallel conducting plates are separated by 7.01\,mm. Equal and opposite surface charges of 7.330E-07\,C/m\textsuperscript{2} exist on the surfaces between the plates.  What is the distance between equipotential planes which differ by 55\,V?
\begin{choices} %%%%%%% begin choices
    \choice  3.799E-01\,mm
    \choice  4.368E-01\,mm
    \choice  5.024E-01\,mm
    \choice  5.777E-01\,mm
    \CorrectChoice 6.644E-01\,mm
\end{choices} %%% end choices

\question Two large parallel conducting plates are separated by 6.95\,mm. Equal and opposite surface charges of 7.360E-07\,C/m\textsuperscript{2} exist on the surfaces between the plates.  What is the distance between equipotential planes which differ by 83\,V?
\begin{choices} %%%%%%% begin choices
    \choice  6.565E-01\,mm
    \choice  7.550E-01\,mm
    \choice  8.683E-01\,mm
    \CorrectChoice 9.985E-01\,mm
    \choice  1.148E+00\,mm
\end{choices} %%% end choices

\question Two large parallel conducting plates are separated by 9.71\,mm. Equal and opposite surface charges of 7.550E-07\,C/m\textsuperscript{2} exist on the surfaces between the plates.  What is the distance between equipotential planes which differ by 73\,V?
\begin{choices} %%%%%%% begin choices
    \choice  7.444E-01\,mm
    \CorrectChoice 8.561E-01\,mm
    \choice  9.845E-01\,mm
    \choice  1.132E+00\,mm
    \choice  1.302E+00\,mm
\end{choices} %%% end choices

\question Two large parallel conducting plates are separated by 6.67\,mm. Equal and opposite surface charges of 7.080E-07\,C/m\textsuperscript{2} exist on the surfaces between the plates.  What is the distance between equipotential planes which differ by 60\,V?
\begin{choices} %%%%%%% begin choices
    \choice  6.525E-01\,mm
    \CorrectChoice 7.504E-01\,mm
    \choice  8.629E-01\,mm
    \choice  9.923E-01\,mm
    \choice  1.141E+00\,mm
\end{choices} %%% end choices

\question Two large parallel conducting plates are separated by 7.14\,mm. Equal and opposite surface charges of 7.660E-07\,C/m\textsuperscript{2} exist on the surfaces between the plates.  What is the distance between equipotential planes which differ by 61\,V?
\begin{choices} %%%%%%% begin choices
    \choice  4.031E-01\,mm
    \choice  4.636E-01\,mm
    \choice  5.332E-01\,mm
    \choice  6.131E-01\,mm
    \CorrectChoice 7.051E-01\,mm
\end{choices} %%% end choices

\question Two large parallel conducting plates are separated by 9.58\,mm. Equal and opposite surface charges of 7.360E-07\,C/m\textsuperscript{2} exist on the surfaces between the plates.  What is the distance between equipotential planes which differ by 84\,V?
\begin{choices} %%%%%%% begin choices
    \choice  6.644E-01\,mm
    \choice  7.641E-01\,mm
    \choice  8.787E-01\,mm
    \CorrectChoice 1.011E+00\,mm
    \choice  1.162E+00\,mm
\end{choices} %%% end choices

\question Two large parallel conducting plates are separated by 7.42\,mm. Equal and opposite surface charges of 7.760E-07\,C/m\textsuperscript{2} exist on the surfaces between the plates.  What is the distance between equipotential planes which differ by 61\,V?
\begin{choices} %%%%%%% begin choices
    \choice  3.979E-01\,mm
    \choice  4.576E-01\,mm
    \choice  5.263E-01\,mm
    \choice  6.052E-01\,mm
    \CorrectChoice 6.960E-01\,mm
\end{choices} %%% end choices

\question Two large parallel conducting plates are separated by 7.83\,mm. Equal and opposite surface charges of 7.530E-07\,C/m\textsuperscript{2} exist on the surfaces between the plates.  What is the distance between equipotential planes which differ by 86\,V?
\begin{choices} %%%%%%% begin choices
    \choice  8.793E-01\,mm
    \CorrectChoice 1.011E+00\,mm
    \choice  1.163E+00\,mm
    \choice  1.337E+00\,mm
    \choice  1.538E+00\,mm
\end{choices} %%% end choices

\question Two large parallel conducting plates are separated by 7.77\,mm. Equal and opposite surface charges of 7.280E-07\,C/m\textsuperscript{2} exist on the surfaces between the plates.  What is the distance between equipotential planes which differ by 70\,V?
\begin{choices} %%%%%%% begin choices
    \CorrectChoice 8.514E-01\,mm
    \choice  9.791E-01\,mm
    \choice  1.126E+00\,mm
    \choice  1.295E+00\,mm
    \choice  1.489E+00\,mm
\end{choices} %%% end choices

\question Two large parallel conducting plates are separated by 7.77\,mm. Equal and opposite surface charges of 7.310E-07\,C/m\textsuperscript{2} exist on the surfaces between the plates.  What is the distance between equipotential planes which differ by 73\,V?
\begin{choices} %%%%%%% begin choices
    \choice  5.814E-01\,mm
    \choice  6.686E-01\,mm
    \choice  7.689E-01\,mm
    \CorrectChoice 8.842E-01\,mm
    \choice  1.017E+00\,mm
\end{choices} %%% end choices

\question Two large parallel conducting plates are separated by 8.13\,mm. Equal and opposite surface charges of 7.540E-07\,C/m\textsuperscript{2} exist on the surfaces between the plates.  What is the distance between equipotential planes which differ by 92\,V?
\begin{choices} %%%%%%% begin choices
    \choice  9.394E-01\,mm
    \CorrectChoice 1.080E+00\,mm
    \choice  1.242E+00\,mm
    \choice  1.429E+00\,mm
    \choice  1.643E+00\,mm
\end{choices} %%% end choices

\question Two large parallel conducting plates are separated by 9.87\,mm. Equal and opposite surface charges of 7.610E-07\,C/m\textsuperscript{2} exist on the surfaces between the plates.  What is the distance between equipotential planes which differ by 66\,V?
\begin{choices} %%%%%%% begin choices
    \choice  4.391E-01\,mm
    \choice  5.049E-01\,mm
    \choice  5.806E-01\,mm
    \choice  6.677E-01\,mm
    \CorrectChoice 7.679E-01\,mm
\end{choices} %%% end choices

\question Two large parallel conducting plates are separated by 9.6\,mm. Equal and opposite surface charges of 7.610E-07\,C/m\textsuperscript{2} exist on the surfaces between the plates.  What is the distance between equipotential planes which differ by 71\,V?
\begin{choices} %%%%%%% begin choices
    \choice  4.723E-01\,mm
    \choice  5.432E-01\,mm
    \choice  6.246E-01\,mm
    \choice  7.183E-01\,mm
    \CorrectChoice 8.261E-01\,mm
\end{choices} %%% end choices
\end{questions}
\pagebreak

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

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