QB/a18ElectricChargeField findE
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\begin{document}
\title{a18ElectricChargeField\_findE}
\author{The LaTex code that creates this quiz is released to the Public Domain\\
Attribution for each question is documented in the Appendix}
\maketitle
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\footnotesize{ \url{https://en.wikiversity.org/wiki/special:permalink/1863337}}
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\begin{multicols}{3}
\tableofcontents
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\pagebreak\section{Quiz}
\keytrue
\printanswers
\begin{questions}
\question What is the magnitude of the electric field at the origin if a 1.8 nC charge is placed at x = 7.9 m, and a 2.1 nC charge is placed at y = 7 m?\ifkey\endnote{a18ElectricChargeField\_findE\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863337}}}\fi
\begin{choices}
\choice 2.61 x 10\textsuperscript{-1}N/C
\choice 3.02 x 10\textsuperscript{-1}N/C
\choice 3.48 x 10\textsuperscript{-1}N/C
\choice 4.02 x 10\textsuperscript{-1}N/C
\CorrectChoice 4.64 x 10\textsuperscript{-1}N/C
\end{choices}
\question What angle does the electric field at the origin make with the x-axis if a 1.1 nC charge is placed at x = -6.5 m, and a 1.4 nC charge is placed at y = -8.3 m?\ifkey\endnote{a18ElectricChargeField\_findE\_2 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863337}}}\fi
\begin{choices}
\CorrectChoice 3.8 x 10\textsuperscript{1}degrees
\choice 4.39 x 10\textsuperscript{1}degrees
\choice 5.06 x 10\textsuperscript{1}degrees
\choice 5.85 x 10\textsuperscript{1}degrees
\choice 6.75 x 10\textsuperscript{1}degrees
\end{choices}
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at (x,y) =(6a, 4a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals\ifkey\endnote{a18ElectricChargeField\_findE\_3 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863337}}}\fi
\begin{choices}
\choice 1.33 x 10\textsuperscript{-3}
\choice 1.61 x 10\textsuperscript{-3}
\choice 1.95 x 10\textsuperscript{-3}
\choice 2.37 x 10\textsuperscript{-3}
\CorrectChoice 2.87 x 10\textsuperscript{-3}
\end{choices}
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =(1.1a, 1.2a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals \ifkey\endnote{a18ElectricChargeField\_findE\_4 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863337}}}\fi
\begin{choices}
\choice 2.36 x 10\textsuperscript{-1}
\choice 2.86 x 10\textsuperscript{-1}
\CorrectChoice 3.47 x 10\textsuperscript{-1}
\choice 4.2 x 10\textsuperscript{-1}
\choice 5.09 x 10\textsuperscript{-1}
\end{choices}
\end{questions}
\newpage\section{Renditions}
\subsection{}%%%% subsection 1
\begin{questions} %%%%%%% begin questions
\question What is the magnitude of the electric field at the origin if a 2.9 nC charge is placed at x = 5.9 m, and a 2.7 nC charge is placed at y = 9.2 m?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 8.02 x 10\textsuperscript{-1}N/C
\choice 9.26 x 10\textsuperscript{-1}N/C
\choice 1.07 x 10\textsuperscript{0}N/C
\choice 1.23 x 10\textsuperscript{0}N/C
\choice 1.43 x 10\textsuperscript{0}N/C
\end{choices} %%% end choices
\question What is the magnitude of the electric field at the origin if a 2.1 nC charge is placed at x = 7 m, and a 2.1 nC charge is placed at y = 8.6 m?
\begin{choices} %%%%%%% begin choices
\choice 3 x 10\textsuperscript{-1}N/C
\choice 3.47 x 10\textsuperscript{-1}N/C
\choice 4 x 10\textsuperscript{-1}N/C
\CorrectChoice 4.62 x 10\textsuperscript{-1}N/C
\choice 5.34 x 10\textsuperscript{-1}N/C
\end{choices} %%% end choices
\question What is the magnitude of the electric field at the origin if a 3.1 nC charge is placed at x = 6.2 m, and a 2.6 nC charge is placed at y = 6 m?
\begin{choices} %%%%%%% begin choices
\choice 5.47 x 10\textsuperscript{-1}N/C
\choice 6.32 x 10\textsuperscript{-1}N/C
\choice 7.3 x 10\textsuperscript{-1}N/C
\choice 8.43 x 10\textsuperscript{-1}N/C
\CorrectChoice 9.73 x 10\textsuperscript{-1}N/C
\end{choices} %%% end choices
\question What is the magnitude of the electric field at the origin if a 3 nC charge is placed at x = 5.1 m, and a 2 nC charge is placed at y = 8.6 m?
\begin{choices} %%%%%%% begin choices
\choice 7.99 x 10\textsuperscript{-1}N/C
\choice 9.22 x 10\textsuperscript{-1}N/C
\CorrectChoice 1.07 x 10\textsuperscript{0}N/C
\choice 1.23 x 10\textsuperscript{0}N/C
\choice 1.42 x 10\textsuperscript{0}N/C
\end{choices} %%% end choices
\question What is the magnitude of the electric field at the origin if a 1.8 nC charge is placed at x = 9.6 m, and a 2 nC charge is placed at y = 8.7 m?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 2.95 x 10\textsuperscript{-1}N/C
\choice 3.41 x 10\textsuperscript{-1}N/C
\choice 3.94 x 10\textsuperscript{-1}N/C
\choice 4.55 x 10\textsuperscript{-1}N/C
\choice 5.25 x 10\textsuperscript{-1}N/C
\end{choices} %%% end choices
\question What is the magnitude of the electric field at the origin if a 1.7 nC charge is placed at x = 6.4 m, and a 3 nC charge is placed at y = 8 m?
\begin{choices} %%%%%%% begin choices
\choice 4.22 x 10\textsuperscript{-1}N/C
\choice 4.87 x 10\textsuperscript{-1}N/C
\CorrectChoice 5.63 x 10\textsuperscript{-1}N/C
\choice 6.5 x 10\textsuperscript{-1}N/C
\choice 7.51 x 10\textsuperscript{-1}N/C
\end{choices} %%% end choices
\question What is the magnitude of the electric field at the origin if a 1.9 nC charge is placed at x = 9.7 m, and a 3.1 nC charge is placed at y = 5.5 m?
\begin{choices} %%%%%%% begin choices
\choice 5.28 x 10\textsuperscript{-1}N/C
\choice 6.1 x 10\textsuperscript{-1}N/C
\choice 7.04 x 10\textsuperscript{-1}N/C
\choice 8.13 x 10\textsuperscript{-1}N/C
\CorrectChoice 9.39 x 10\textsuperscript{-1}N/C
\end{choices} %%% end choices
\question What is the magnitude of the electric field at the origin if a 2.7 nC charge is placed at x = 9.1 m, and a 2.5 nC charge is placed at y = 5.9 m?
\begin{choices} %%%%%%% begin choices
\choice 3.99 x 10\textsuperscript{-1}N/C
\choice 4.6 x 10\textsuperscript{-1}N/C
\choice 5.32 x 10\textsuperscript{-1}N/C
\choice 6.14 x 10\textsuperscript{-1}N/C
\CorrectChoice 7.09 x 10\textsuperscript{-1}N/C
\end{choices} %%% end choices
\question What is the magnitude of the electric field at the origin if a 1.2 nC charge is placed at x = 5.9 m, and a 3.1 nC charge is placed at y = 6.1 m?
\begin{choices} %%%%%%% begin choices
\choice 7.02 x 10\textsuperscript{-1}N/C
\CorrectChoice 8.11 x 10\textsuperscript{-1}N/C
\choice 9.36 x 10\textsuperscript{-1}N/C
\choice 1.08 x 10\textsuperscript{0}N/C
\choice 1.25 x 10\textsuperscript{0}N/C
\end{choices} %%% end choices
\question What is the magnitude of the electric field at the origin if a 1.4 nC charge is placed at x = 8.2 m, and a 2.3 nC charge is placed at y = 5.9 m?
\begin{choices} %%%%%%% begin choices
\choice 5.39 x 10\textsuperscript{-1}N/C
\CorrectChoice 6.23 x 10\textsuperscript{-1}N/C
\choice 7.19 x 10\textsuperscript{-1}N/C
\choice 8.31 x 10\textsuperscript{-1}N/C
\choice 9.59 x 10\textsuperscript{-1}N/C
\end{choices} %%% end choices
\question What is the magnitude of the electric field at the origin if a 3 nC charge is placed at x = 8.8 m, and a 2.9 nC charge is placed at y = 6.9 m?
\begin{choices} %%%%%%% begin choices
\choice 4.87 x 10\textsuperscript{-1}N/C
\choice 5.62 x 10\textsuperscript{-1}N/C
\CorrectChoice 6.49 x 10\textsuperscript{-1}N/C
\choice 7.49 x 10\textsuperscript{-1}N/C
\choice 8.65 x 10\textsuperscript{-1}N/C
\end{choices} %%% end choices
\question What is the magnitude of the electric field at the origin if a 2.5 nC charge is placed at x = 5.3 m, and a 1.9 nC charge is placed at y = 5.6 m?
\begin{choices} %%%%%%% begin choices
\choice 7.26 x 10\textsuperscript{-1}N/C
\choice 8.38 x 10\textsuperscript{-1}N/C
\CorrectChoice 9.68 x 10\textsuperscript{-1}N/C
\choice 1.12 x 10\textsuperscript{0}N/C
\choice 1.29 x 10\textsuperscript{0}N/C
\end{choices} %%% end choices
\question What is the magnitude of the electric field at the origin if a 1.8 nC charge is placed at x = 5.2 m, and a 3.1 nC charge is placed at y = 7.6 m?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 7.69 x 10\textsuperscript{-1}N/C
\choice 8.88 x 10\textsuperscript{-1}N/C
\choice 1.03 x 10\textsuperscript{0}N/C
\choice 1.18 x 10\textsuperscript{0}N/C
\choice 1.37 x 10\textsuperscript{0}N/C
\pagebreak
\end{choices}
\end{questions}%%%%%%%% end questions
\subsection{}%%%% subsection 2
\begin{questions} %%%%%%% begin questions
\question What angle does the electric field at the origin make with the x-axis if a 1.3 nC charge is placed at x = -9 m, and a 1.5 nC charge is placed at y = -5.2 m?
\begin{choices} %%%%%%% begin choices
\choice 4.15 x 10\textsuperscript{1}degrees
\choice 4.8 x 10\textsuperscript{1}degrees
\choice 5.54 x 10\textsuperscript{1}degrees
\choice 6.4 x 10\textsuperscript{1}degrees
\CorrectChoice 7.39 x 10\textsuperscript{1}degrees
\end{choices} %%% end choices
\question What angle does the electric field at the origin make with the x-axis if a 1.4 nC charge is placed at x = -8.7 m, and a 2.7 nC charge is placed at y = -8.3 m?
\begin{choices} %%%%%%% begin choices
\choice 4.85 x 10\textsuperscript{1}degrees
\choice 5.61 x 10\textsuperscript{1}degrees
\CorrectChoice 6.47 x 10\textsuperscript{1}degrees
\choice 7.48 x 10\textsuperscript{1}degrees
\choice 8.63 x 10\textsuperscript{1}degrees
\end{choices} %%% end choices
\question What angle does the electric field at the origin make with the x-axis if a 2 nC charge is placed at x = -8.7 m, and a 2.7 nC charge is placed at y = -5.2 m?
\begin{choices} %%%%%%% begin choices
\choice 4.23 x 10\textsuperscript{1}degrees
\choice 4.88 x 10\textsuperscript{1}degrees
\choice 5.64 x 10\textsuperscript{1}degrees
\choice 6.51 x 10\textsuperscript{1}degrees
\CorrectChoice 7.52 x 10\textsuperscript{1}degrees
\end{choices} %%% end choices
\question What angle does the electric field at the origin make with the x-axis if a 2 nC charge is placed at x = -8 m, and a 1.4 nC charge is placed at y = -9.3 m?
\begin{choices} %%%%%%% begin choices
\choice 2.37 x 10\textsuperscript{1}degrees
\CorrectChoice 2.74 x 10\textsuperscript{1}degrees
\choice 3.16 x 10\textsuperscript{1}degrees
\choice 3.65 x 10\textsuperscript{1}degrees
\choice 4.22 x 10\textsuperscript{1}degrees
\end{choices} %%% end choices
\question What angle does the electric field at the origin make with the x-axis if a 1.9 nC charge is placed at x = -5.4 m, and a 1.5 nC charge is placed at y = -7.1 m?
\begin{choices} %%%%%%% begin choices
\choice 1.38 x 10\textsuperscript{1}degrees
\choice 1.59 x 10\textsuperscript{1}degrees
\choice 1.84 x 10\textsuperscript{1}degrees
\choice 2.13 x 10\textsuperscript{1}degrees
\CorrectChoice 2.45 x 10\textsuperscript{1}degrees
\end{choices} %%% end choices
\question What angle does the electric field at the origin make with the x-axis if a 1.8 nC charge is placed at x = -6.9 m, and a 2.5 nC charge is placed at y = -7.5 m?
\begin{choices} %%%%%%% begin choices
\choice 2.79 x 10\textsuperscript{1}degrees
\choice 3.22 x 10\textsuperscript{1}degrees
\choice 3.72 x 10\textsuperscript{1}degrees
\choice 4.3 x 10\textsuperscript{1}degrees
\CorrectChoice 4.96 x 10\textsuperscript{1}degrees
\end{choices} %%% end choices
\question What angle does the electric field at the origin make with the x-axis if a 1.4 nC charge is placed at x = -5.5 m, and a 2.8 nC charge is placed at y = -6.8 m?
\begin{choices} %%%%%%% begin choices
\choice 3.95 x 10\textsuperscript{1}degrees
\choice 4.56 x 10\textsuperscript{1}degrees
\CorrectChoice 5.26 x 10\textsuperscript{1}degrees
\choice 6.08 x 10\textsuperscript{1}degrees
\choice 7.02 x 10\textsuperscript{1}degrees
\end{choices} %%% end choices
\question What angle does the electric field at the origin make with the x-axis if a 2.6 nC charge is placed at x = -8.3 m, and a 2.5 nC charge is placed at y = -9.6 m?
\begin{choices} %%%%%%% begin choices
\choice 2.32 x 10\textsuperscript{1}degrees
\choice 2.68 x 10\textsuperscript{1}degrees
\choice 3.09 x 10\textsuperscript{1}degrees
\CorrectChoice 3.57 x 10\textsuperscript{1}degrees
\choice 4.12 x 10\textsuperscript{1}degrees
\end{choices} %%% end choices
\question What angle does the electric field at the origin make with the x-axis if a 2.8 nC charge is placed at x = -8 m, and a 1.5 nC charge is placed at y = -8.7 m?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 2.44 x 10\textsuperscript{1}degrees
\choice 2.81 x 10\textsuperscript{1}degrees
\choice 3.25 x 10\textsuperscript{1}degrees
\choice 3.75 x 10\textsuperscript{1}degrees
\choice 4.33 x 10\textsuperscript{1}degrees
\end{choices} %%% end choices
\question What angle does the electric field at the origin make with the x-axis if a 2.9 nC charge is placed at x = -7.3 m, and a 1.7 nC charge is placed at y = -8.1 m?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 2.55 x 10\textsuperscript{1}degrees
\choice 2.94 x 10\textsuperscript{1}degrees
\choice 3.4 x 10\textsuperscript{1}degrees
\choice 3.92 x 10\textsuperscript{1}degrees
\choice 4.53 x 10\textsuperscript{1}degrees
\end{choices} %%% end choices
\question What angle does the electric field at the origin make with the x-axis if a 2.8 nC charge is placed at x = -9.8 m, and a 2.8 nC charge is placed at y = -5.8 m?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 7.07 x 10\textsuperscript{1}degrees
\choice 8.16 x 10\textsuperscript{1}degrees
\choice 9.43 x 10\textsuperscript{1}degrees
\choice 1.09 x 10\textsuperscript{2}degrees
\choice 1.26 x 10\textsuperscript{2}degrees
\end{choices} %%% end choices
\question What angle does the electric field at the origin make with the x-axis if a 1.2 nC charge is placed at x = -6.7 m, and a 1.7 nC charge is placed at y = -6.1 m?
\begin{choices} %%%%%%% begin choices
\choice 4.47 x 10\textsuperscript{1}degrees
\choice 5.17 x 10\textsuperscript{1}degrees
\CorrectChoice 5.97 x 10\textsuperscript{1}degrees
\choice 6.89 x 10\textsuperscript{1}degrees
\choice 7.96 x 10\textsuperscript{1}degrees
\end{choices} %%% end choices
\question What angle does the electric field at the origin make with the x-axis if a 2.9 nC charge is placed at x = -6.3 m, and a 2.1 nC charge is placed at y = -8.8 m?
\begin{choices} %%%%%%% begin choices
\choice 1.32 x 10\textsuperscript{1}degrees
\choice 1.53 x 10\textsuperscript{1}degrees
\choice 1.76 x 10\textsuperscript{1}degrees
\CorrectChoice 2.04 x 10\textsuperscript{1}degrees
\choice 2.35 x 10\textsuperscript{1}degrees
\pagebreak
\end{choices}
\end{questions}%%%%%%%% end questions
\subsection{}%%%% subsection 3
\begin{questions} %%%%%%% begin questions
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at (x,y) =(4a, 3a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\choice 4.1 x 10\textsuperscript{-3}
\choice 4.96 x 10\textsuperscript{-3}
\choice 6.01 x 10\textsuperscript{-3}
\CorrectChoice 7.28 x 10\textsuperscript{-3}
\choice 8.82 x 10\textsuperscript{-3}
\end{choices} %%% end choices
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at (x,y) =(4a, 5a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\CorrectChoice 6.11 x 10\textsuperscript{-4}
\choice 7.4 x 10\textsuperscript{-4}
\choice 8.97 x 10\textsuperscript{-4}
\choice 1.09 x 10\textsuperscript{-3}
\choice 1.32 x 10\textsuperscript{-3}
\end{choices} %%% end choices
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at (x,y) =(6a, 5a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\CorrectChoice 1.61 x 10\textsuperscript{-3} unit
\choice 1.95 x 10\textsuperscript{-3} unit
\choice 2.36 x 10\textsuperscript{-3} unit
\choice 2.86 x 10\textsuperscript{-3} unit
\choice 3.46 x 10\textsuperscript{-3} unit
\end{choices} %%% end choices
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at (x,y) =(4a, 3a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\choice 3.38 x 10\textsuperscript{-3} unit
\choice 4.1 x 10\textsuperscript{-3} unit
\choice 4.96 x 10\textsuperscript{-3} unit
\choice 6.01 x 10\textsuperscript{-3} unit
\CorrectChoice 7.28 x 10\textsuperscript{-3} unit
\end{choices} %%% end choices
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at (x,y) =(5a, 4a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\choice 1.76 x 10\textsuperscript{-3} unit
\choice 2.13 x 10\textsuperscript{-3} unit
\choice 2.59 x 10\textsuperscript{-3} unit
\CorrectChoice 3.13 x 10\textsuperscript{-3} unit
\choice 3.79 x 10\textsuperscript{-3} unit
\end{choices} %%% end choices
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at (x,y) =(4a, 6a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\choice 1.52 x 10\textsuperscript{-4} unit
\choice 1.85 x 10\textsuperscript{-4} unit
\CorrectChoice 2.24 x 10\textsuperscript{-4} unit
\choice 2.71 x 10\textsuperscript{-4} unit
\choice 3.28 x 10\textsuperscript{-4} unit
\end{choices} %%% end choices
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at (x,y) =(4a, 4a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\choice 2.22 x 10\textsuperscript{-3} unit
\CorrectChoice 2.69 x 10\textsuperscript{-3} unit
\choice 3.26 x 10\textsuperscript{-3} unit
\choice 3.95 x 10\textsuperscript{-3} unit
\choice 4.79 x 10\textsuperscript{-3} unit
\end{choices} %%% end choices
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at (x,y) =(6a, 5a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\choice 1.09 x 10\textsuperscript{-3} unit
\choice 1.33 x 10\textsuperscript{-3} unit
\CorrectChoice 1.61 x 10\textsuperscript{-3} unit
\choice 1.95 x 10\textsuperscript{-3} unit
\choice 2.36 x 10\textsuperscript{-3} unit
\end{choices} %%% end choices
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at (x,y) =(3a, 5a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\CorrectChoice 1.08 x 10\textsuperscript{-3} unit
\choice 1.31 x 10\textsuperscript{-3} unit
\choice 1.59 x 10\textsuperscript{-3} unit
\choice 1.93 x 10\textsuperscript{-3} unit
\choice 2.34 x 10\textsuperscript{-3} unit
\end{choices} %%% end choices
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at (x,y) =(4a, 2a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\choice 7.31 x 10\textsuperscript{-3} unit
\choice 8.86 x 10\textsuperscript{-3} unit
\choice 1.07 x 10\textsuperscript{-2} unit
\choice 1.3 x 10\textsuperscript{-2} unit
\CorrectChoice 1.57 x 10\textsuperscript{-2} unit
\end{choices} %%% end choices
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at (x,y) =(6a, 4a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\choice 1.33 x 10\textsuperscript{-3} unit
\choice 1.61 x 10\textsuperscript{-3} unit
\choice 1.95 x 10\textsuperscript{-3} unit
\choice 2.37 x 10\textsuperscript{-3} unit
\CorrectChoice 2.87 x 10\textsuperscript{-3} unit
\end{choices} %%% end choices
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at (x,y) =(5a, 5a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\choice 6.46 x 10\textsuperscript{-4} unit
\choice 7.82 x 10\textsuperscript{-4} unit
\choice 9.48 x 10\textsuperscript{-4} unit
\choice 1.15 x 10\textsuperscript{-3} unit
\CorrectChoice 1.39 x 10\textsuperscript{-3} unit
\end{choices} %%% end choices
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at (x,y) =(6a, 5a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\choice 1.33 x 10\textsuperscript{-3} unit
\CorrectChoice 1.61 x 10\textsuperscript{-3} unit
\choice 1.95 x 10\textsuperscript{-3} unit
\choice 2.36 x 10\textsuperscript{-3} unit
\choice 2.86 x 10\textsuperscript{-3} unit
\pagebreak
\end{choices}
\end{questions}%%%%%%%% end questions
\subsection{}%%%% subsection 4
\begin{questions} %%%%%%% begin questions
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =(1.1a, 1.2a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\choice 1.61 x 10\textsuperscript{-1}
\choice 1.95 x 10\textsuperscript{-1}
\choice 2.36 x 10\textsuperscript{-1}
\choice 2.86 x 10\textsuperscript{-1}
\CorrectChoice 3.47 x 10\textsuperscript{-1}
\end{choices} %%% end choices
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =(1.1a, 1.2a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\choice 2.86 x 10\textsuperscript{-1}
\CorrectChoice 3.47 x 10\textsuperscript{-1}
\choice 4.2 x 10\textsuperscript{-1}
\choice 5.09 x 10\textsuperscript{-1}
\choice 6.17 x 10\textsuperscript{-1}
\end{choices} %%% end choices
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =(1.1a, 1.2a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\CorrectChoice 3.47 x 10\textsuperscript{-1} unit
\choice 4.2 x 10\textsuperscript{-1} unit
\choice 5.09 x 10\textsuperscript{-1} unit
\choice 6.17 x 10\textsuperscript{-1} unit
\choice 7.47 x 10\textsuperscript{-1} unit
\end{choices} %%% end choices
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =(1.1a, 1.2a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\choice 2.36 x 10\textsuperscript{-1} unit
\choice 2.86 x 10\textsuperscript{-1} unit
\CorrectChoice 3.47 x 10\textsuperscript{-1} unit
\choice 4.2 x 10\textsuperscript{-1} unit
\choice 5.09 x 10\textsuperscript{-1} unit
\end{choices} %%% end choices
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =(1.1a, 1.2a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\choice 1.61 x 10\textsuperscript{-1} unit
\choice 1.95 x 10\textsuperscript{-1} unit
\choice 2.36 x 10\textsuperscript{-1} unit
\choice 2.86 x 10\textsuperscript{-1} unit
\CorrectChoice 3.47 x 10\textsuperscript{-1} unit
\end{choices} %%% end choices
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =(1.1a, 1.2a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\choice 2.36 x 10\textsuperscript{-1} unit
\choice 2.86 x 10\textsuperscript{-1} unit
\CorrectChoice 3.47 x 10\textsuperscript{-1} unit
\choice 4.2 x 10\textsuperscript{-1} unit
\choice 5.09 x 10\textsuperscript{-1} unit
\end{choices} %%% end choices
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =(1.1a, 1.2a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\choice 2.86 x 10\textsuperscript{-1} unit
\CorrectChoice 3.47 x 10\textsuperscript{-1} unit
\choice 4.2 x 10\textsuperscript{-1} unit
\choice 5.09 x 10\textsuperscript{-1} unit
\choice 6.17 x 10\textsuperscript{-1} unit
\end{choices} %%% end choices
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =(1.1a, 1.2a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\CorrectChoice 3.47 x 10\textsuperscript{-1} unit
\choice 4.2 x 10\textsuperscript{-1} unit
\choice 5.09 x 10\textsuperscript{-1} unit
\choice 6.17 x 10\textsuperscript{-1} unit
\choice 7.47 x 10\textsuperscript{-1} unit
\end{choices} %%% end choices
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =(1.1a, 1.2a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\choice 1.95 x 10\textsuperscript{-1} unit
\choice 2.36 x 10\textsuperscript{-1} unit
\choice 2.86 x 10\textsuperscript{-1} unit
\CorrectChoice 3.47 x 10\textsuperscript{-1} unit
\choice 4.2 x 10\textsuperscript{-1} unit
\end{choices} %%% end choices
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =(1.1a, 1.2a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\choice 1.95 x 10\textsuperscript{-1} unit
\choice 2.36 x 10\textsuperscript{-1} unit
\choice 2.86 x 10\textsuperscript{-1} unit
\CorrectChoice 3.47 x 10\textsuperscript{-1} unit
\choice 4.2 x 10\textsuperscript{-1} unit
\end{choices} %%% end choices
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =(1.1a, 1.2a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\choice 1.61 x 10\textsuperscript{-1} unit
\choice 1.95 x 10\textsuperscript{-1} unit
\choice 2.36 x 10\textsuperscript{-1} unit
\choice 2.86 x 10\textsuperscript{-1} unit
\CorrectChoice 3.47 x 10\textsuperscript{-1} unit
\end{choices} %%% end choices
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =(1.1a, 1.2a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\choice 1.95 x 10\textsuperscript{-1} unit
\choice 2.36 x 10\textsuperscript{-1} unit
\choice 2.86 x 10\textsuperscript{-1} unit
\CorrectChoice 3.47 x 10\textsuperscript{-1} unit
\choice 4.2 x 10\textsuperscript{-1} unit
\end{choices} %%% end choices
\question A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =(1.1a, 1.2a) is \textbeta\ kQ/a\textsuperscript{2}, where \textbeta\ equals
\begin{choices} %%%%%%% begin choices
\choice 1.95 x 10\textsuperscript{-1} unit
\choice 2.36 x 10\textsuperscript{-1} unit
\choice 2.86 x 10\textsuperscript{-1} unit
\CorrectChoice 3.47 x 10\textsuperscript{-1} unit
\choice 4.2 x 10\textsuperscript{-1} unit
\end{choices} %%% end choices
\end{questions}\pagebreak
\section{Attribution}
\theendnotes
\end{document}