# QB/d cp2.7

< QB

The enrollment key for each course is 123. They are all is set to practice mode, giving students unlimited attempts at each question. Instructors can also print out copies of the quiz for classroom use. If you have any problems leave a message at user talk:Guy vandegrift.

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• At the moment, most of the physics questions have already been transferred. To see them, join myopenmath.com as a student, and "enroll" in one or both of the following courses:
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See special:permalink/1893815 for a wikitext version of this quiz.

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[[File:VFPt dipole electric manylines cropped.svg|45px]]

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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}
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\pagebreak\section{Quiz}
\keytrue
\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