QB/d cp2.5
< QB
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See special:permalink/1894334 for a wikitext version of this quiz.
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% BEGIN DOCUMENT
\begin{document}
\title{d\_cp2.5}
\author{The LaTex code that creates this quiz is released to the Public Domain\\
Attribution for each question is documented in the Appendix}
\maketitle
\begin{center}
\includegraphics[width=0.15\textwidth]{666px-Wikiversity-logo-en.png}
\\Latex markup at\\
\footnotesize{ \url{https://en.wikiversity.org/wiki/special:permalink/1894334}}
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\begin{multicols}{3}
\tableofcontents
\end{multicols}
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\pagebreak\section{Quiz}
\keytrue
\printanswers
\begin{questions}
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=2\times 10^{-7}\text{m}\). What is the magnitude of the net force on \(q_2\) if \(q_1=2e\), \(q_2=-3e\), and \(q_3=5e\)?\ifkey\endnote{Example 5.2 from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:UtVGui9n@7/53-Coulombs-Law\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1894334}}}\fi
\begin{choices}
\choice 3.710E-14 N
\CorrectChoice 4.081E-14 N
\choice 4.489E-14 N
\choice 4.938E-14 N
\choice 5.432E-14 N
\end{choices}
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=2\times 10^{-7}\text{m}\).what angle does the force on \(q_2\) make above the \(-x\) axis if \(q_1=2e\), \(q_2=-3e\), and \(q_3=5e\)?\ifkey\endnote{Example 5.2 from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:UtVGui9n@7/53-Coulombs-Law\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1894334}}}\fi
\begin{choices}
\choice 3.961E+01 degrees
\choice 4.357E+01 degrees
\choice 4.793E+01 degrees
\choice 5.272E+01 degrees
\CorrectChoice 5.799E+01 degrees
\end{choices}
\question
\includegraphics[width=0.142\textwidth]{ChargedLineSegmentTestQuestion.png} \(E_z(x=0,z)=\int_{-a}^b f(x,z)dx\)is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate \(f(x,y)\) at x=1 m if a=0.7 m, b=1.2 m. The total charge on the rod is 2 nC.\ifkey\endnote{Inspired by Example 5.4 from OpenStax University Physics2: by [[user:Guy vandegrift]] CC0 Public Domain license\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1894334}}}\fi
\begin{choices}
\CorrectChoice 2.422E+00 V/m\textsuperscript{2}
\choice 2.664E+00 V/m\textsuperscript{2}
\choice 2.931E+00 V/m\textsuperscript{2}
\choice 3.224E+00 V/m\textsuperscript{2}
\choice 3.546E+00 V/m\textsuperscript{2}
\end{choices}
\question
\includegraphics[width=0.142\textwidth]{QuizbankQuestionLoopeFieldOnAxis.png}A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.1 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.5 m (on axis) away from the loop's center?\ifkey\endnote{Inspired by Example 5.7 from OpenStax University Physics2: [[user:Guy vandegrift]] CC0 in Public Domain\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1894334}}}\fi
\begin{choices}
\choice 4.210E+09 N/C\textsuperscript{2}
\choice 4.631E+09 N/C\textsuperscript{2}
\CorrectChoice 5.095E+09 N/C\textsuperscript{2}
\choice 5.604E+09 N/C\textsuperscript{2}
\choice 6.164E+09 N/C\textsuperscript{2}
\end{choices}
\question \(E(z)=\int_{0}^R f(r',z)dr'\)is an integral that calculates the magnitude of the electric field at a distance \(z\) fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is \(R=2\text{ m}\) and the surface charge density is \(\sigma=1\text{ nC/m}^3\). Evaluate \(f(r',z)\) at \(r'=1\text{ m}\).\ifkey\endnote{Inspired by Example 5.8 from OpenStax University Physics2: [[user:Guy vandegrift]] Public Domain CC0\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1894334}}}\fi
\begin{choices}
\choice 1.364E+01 V/m\textsuperscript{2}
\choice 1.500E+01 V/m\textsuperscript{2}
\choice 1.650E+01 V/m\textsuperscript{2}
\choice 1.815E+01 V/m\textsuperscript{2}
\CorrectChoice 1.997E+01 V/m\textsuperscript{2}
\end{choices}
\question A large thin isolated square plate has an area of 2 m\textsuperscript{2}. It is uniformly charged with 3 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?\ifkey\endnote{Example 5.9 from OpenStax University Physics2: https://cnx.org/contents/eg-XcBxE@9.8:Bhqzg0Ka@6/55-Calculating-Electric-Fields\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1894334}}}\fi
\begin{choices}
\CorrectChoice 8.471E+01 N/C
\choice 9.318E+01 N/C
\choice 1.025E+02 N/C
\choice 1.127E+02 N/C
\choice 1.240E+02 N/C
\end{choices}
\end{questions}\newpage %Ends quiz
\section{Renditions} %%% Renditions %%%%
\subsection{}%%%% subsection 1
\begin{questions} %%%%%%% begin questions
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=2\times 10^{-7}\text{m}\). What is the magnitude of the net force on \(q_2\) if \(q_1=1e\), \(q_2=-8e\), and \(q_3=3e\)?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 5.768E-14 N
\choice 6.344E-14 N
\choice 6.979E-14 N
\choice 7.677E-14 N
\choice 8.444E-14 N
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=4\times 10^{-7}\text{m}\). What is the magnitude of the net force on \(q_2\) if \(q_1=3e\), \(q_2=-7e\), and \(q_3=6e\)?
\begin{choices} %%%%%%% begin choices
\choice 2.544E-14 N
\choice 2.798E-14 N
\choice 3.078E-14 N
\CorrectChoice 3.385E-14 N
\choice 3.724E-14 N
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=6\times 10^{-7}\text{m}\). What is the magnitude of the net force on \(q_2\) if \(q_1=3e\), \(q_2=-7e\), and \(q_3=6e\)?
\begin{choices} %%%%%%% begin choices
\choice 1.028E-14 N
\choice 1.130E-14 N
\choice 1.244E-14 N
\choice 1.368E-14 N
\CorrectChoice 1.505E-14 N
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=6\times 10^{-7}\text{m}\). What is the magnitude of the net force on \(q_2\) if \(q_1=2e\), \(q_2=-8e\), and \(q_3=4e\)?
\begin{choices} %%%%%%% begin choices
\choice 8.613E-15 N
\choice 9.474E-15 N
\choice 1.042E-14 N
\CorrectChoice 1.146E-14 N
\choice 1.261E-14 N
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=2\times 10^{-7}\text{m}\). What is the magnitude of the net force on \(q_2\) if \(q_1=3e\), \(q_2=-9e\), and \(q_3=6e\)?
\begin{choices} %%%%%%% begin choices
\choice 1.308E-13 N
\choice 1.439E-13 N
\choice 1.583E-13 N
\CorrectChoice 1.741E-13 N
\choice 1.915E-13 N
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=2\times 10^{-7}\text{m}\). What is the magnitude of the net force on \(q_2\) if \(q_1=1e\), \(q_2=-8e\), and \(q_3=3e\)?
\begin{choices} %%%%%%% begin choices
\choice 5.243E-14 N
\CorrectChoice 5.768E-14 N
\choice 6.344E-14 N
\choice 6.979E-14 N
\choice 7.677E-14 N
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=6\times 10^{-7}\text{m}\). What is the magnitude of the net force on \(q_2\) if \(q_1=1e\), \(q_2=-8e\), and \(q_3=2e\)?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 5.732E-15 N
\choice 6.305E-15 N
\choice 6.936E-15 N
\choice 7.629E-15 N
\choice 8.392E-15 N
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=6\times 10^{-7}\text{m}\). What is the magnitude of the net force on \(q_2\) if \(q_1=1e\), \(q_2=-7e\), and \(q_3=2e\)?
\begin{choices} %%%%%%% begin choices
\choice 3.426E-15 N
\choice 3.768E-15 N
\choice 4.145E-15 N
\choice 4.560E-15 N
\CorrectChoice 5.015E-15 N
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=6\times 10^{-7}\text{m}\). What is the magnitude of the net force on \(q_2\) if \(q_1=2e\), \(q_2=-8e\), and \(q_3=5e\)?
\begin{choices} %%%%%%% begin choices
\choice 8.259E-15 N
\choice 9.085E-15 N
\choice 9.993E-15 N
\choice 1.099E-14 N
\CorrectChoice 1.209E-14 N
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=4\times 10^{-7}\text{m}\). What is the magnitude of the net force on \(q_2\) if \(q_1=2e\), \(q_2=-7e\), and \(q_3=3e\)?
\begin{choices} %%%%%%% begin choices
\choice 1.473E-14 N
\choice 1.620E-14 N
\choice 1.782E-14 N
\choice 1.960E-14 N
\CorrectChoice 2.156E-14 N
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=4\times 10^{-7}\text{m}\). What is the magnitude of the net force on \(q_2\) if \(q_1=2e\), \(q_2=-8e\), and \(q_3=5e\)?
\begin{choices} %%%%%%% begin choices
\choice 2.248E-14 N
\choice 2.473E-14 N
\CorrectChoice 2.721E-14 N
\choice 2.993E-14 N
\choice 3.292E-14 N
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=6\times 10^{-7}\text{m}\). What is the magnitude of the net force on \(q_2\) if \(q_1=3e\), \(q_2=-7e\), and \(q_3=5e\)?
\begin{choices} %%%%%%% begin choices
\choice 9.958E-15 N
\choice 1.095E-14 N
\choice 1.205E-14 N
\choice 1.325E-14 N
\CorrectChoice 1.458E-14 N
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=2\times 10^{-7}\text{m}\). What is the magnitude of the net force on \(q_2\) if \(q_1=1e\), \(q_2=-7e\), and \(q_3=3e\)?
\begin{choices} %%%%%%% begin choices
\choice 4.171E-14 N
\choice 4.588E-14 N
\CorrectChoice 5.047E-14 N
\choice 5.551E-14 N
\choice 6.107E-14 N
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=4\times 10^{-7}\text{m}\). What is the magnitude of the net force on \(q_2\) if \(q_1=1e\), \(q_2=-8e\), and \(q_3=2e\)?
\begin{choices} %%%%%%% begin choices
\choice 1.172E-14 N
\CorrectChoice 1.290E-14 N
\choice 1.419E-14 N
\choice 1.561E-14 N
\choice 1.717E-14 N
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=2\times 10^{-7}\text{m}\). What is the magnitude of the net force on \(q_2\) if \(q_1=1e\), \(q_2=-8e\), and \(q_3=2e\)?
\begin{choices} %%%%%%% begin choices
\choice 3.876E-14 N
\choice 4.263E-14 N
\choice 4.690E-14 N
\CorrectChoice 5.159E-14 N
\choice 5.675E-14 N
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=2\times 10^{-7}\text{m}\). What is the magnitude of the net force on \(q_2\) if \(q_1=1e\), \(q_2=-7e\), and \(q_3=2e\)?
\begin{choices} %%%%%%% begin choices
\choice 3.391E-14 N
\choice 3.731E-14 N
\choice 4.104E-14 N
\CorrectChoice 4.514E-14 N
\choice 4.965E-14 N
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=4\times 10^{-7}\text{m}\). What is the magnitude of the net force on \(q_2\) if \(q_1=2e\), \(q_2=-8e\), and \(q_3=3e\)?
\begin{choices} %%%%%%% begin choices
\choice 2.036E-14 N
\choice 2.240E-14 N
\CorrectChoice 2.464E-14 N
\choice 2.710E-14 N
\choice 2.981E-14 N
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=4\times 10^{-7}\text{m}\). What is the magnitude of the net force on \(q_2\) if \(q_1=1e\), \(q_2=-7e\), and \(q_3=4e\)?
\begin{choices} %%%%%%% begin choices
\choice 9.750E-15 N
\choice 1.072E-14 N
\choice 1.180E-14 N
\choice 1.298E-14 N
\CorrectChoice 1.427E-14 N
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=2\times 10^{-7}\text{m}\). What is the magnitude of the net force on \(q_2\) if \(q_1=1e\), \(q_2=-9e\), and \(q_3=4e\)?
\begin{choices} %%%%%%% begin choices
\choice 5.014E-14 N
\choice 5.515E-14 N
\choice 6.067E-14 N
\choice 6.674E-14 N
\CorrectChoice 7.341E-14 N
\end{choices} %%% end choices
%\pagebreak
%\end{choices}%??????????????
\end{questions}%%%%%%%% end questions
\subsection{}%%%% subsection 2
\begin{questions} %%%%%%% begin questions
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=4\times 10^{-7}\text{m}\).what angle does the force on \(q_2\) make above the \(-x\) axis if \(q_1=2e\), \(q_2=-7e\), and \(q_3=3e\)?
\begin{choices} %%%%%%% begin choices
\choice 5.217E+01 degrees
\choice 5.739E+01 degrees
\choice 6.313E+01 degrees
\CorrectChoice 6.944E+01 degrees
\choice 7.639E+01 degrees
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=2\times 10^{-7}\text{m}\).what angle does the force on \(q_2\) make above the \(-x\) axis if \(q_1=1e\), \(q_2=-7e\), and \(q_3=4e\)?
\begin{choices} %%%%%%% begin choices
\choice 4.091E+01 degrees
\CorrectChoice 4.500E+01 degrees
\choice 4.950E+01 degrees
\choice 5.445E+01 degrees
\choice 5.990E+01 degrees
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=4\times 10^{-7}\text{m}\).what angle does the force on \(q_2\) make above the \(-x\) axis if \(q_1=1e\), \(q_2=-8e\), and \(q_3=4e\)?
\begin{choices} %%%%%%% begin choices
\choice 3.719E+01 degrees
\choice 4.091E+01 degrees
\CorrectChoice 4.500E+01 degrees
\choice 4.950E+01 degrees
\choice 5.445E+01 degrees
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=4\times 10^{-7}\text{m}\).what angle does the force on \(q_2\) make above the \(-x\) axis if \(q_1=3e\), \(q_2=-7e\), and \(q_3=5e\)?
\begin{choices} %%%%%%% begin choices
\choice 5.569E+01 degrees
\choice 6.125E+01 degrees
\CorrectChoice 6.738E+01 degrees
\choice 7.412E+01 degrees
\choice 8.153E+01 degrees
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=6\times 10^{-7}\text{m}\).what angle does the force on \(q_2\) make above the \(-x\) axis if \(q_1=2e\), \(q_2=-9e\), and \(q_3=5e\)?
\begin{choices} %%%%%%% begin choices
\choice 5.272E+01 degrees
\CorrectChoice 5.799E+01 degrees
\choice 6.379E+01 degrees
\choice 7.017E+01 degrees
\choice 7.719E+01 degrees
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=2\times 10^{-7}\text{m}\).what angle does the force on \(q_2\) make above the \(-x\) axis if \(q_1=3e\), \(q_2=-9e\), and \(q_3=5e\)?
\begin{choices} %%%%%%% begin choices
\choice 6.125E+01 degrees
\CorrectChoice 6.738E+01 degrees
\choice 7.412E+01 degrees
\choice 8.153E+01 degrees
\choice 8.968E+01 degrees
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=4\times 10^{-7}\text{m}\).what angle does the force on \(q_2\) make above the \(-x\) axis if \(q_1=3e\), \(q_2=-7e\), and \(q_3=5e\)?
\begin{choices} %%%%%%% begin choices
\choice 5.569E+01 degrees
\choice 6.125E+01 degrees
\CorrectChoice 6.738E+01 degrees
\choice 7.412E+01 degrees
\choice 8.153E+01 degrees
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=6\times 10^{-7}\text{m}\).what angle does the force on \(q_2\) make above the \(-x\) axis if \(q_1=3e\), \(q_2=-7e\), and \(q_3=6e\)?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 6.343E+01 degrees
\choice 6.978E+01 degrees
\choice 7.676E+01 degrees
\choice 8.443E+01 degrees
\choice 9.288E+01 degrees
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=4\times 10^{-7}\text{m}\).what angle does the force on \(q_2\) make above the \(-x\) axis if \(q_1=2e\), \(q_2=-9e\), and \(q_3=5e\)?
\begin{choices} %%%%%%% begin choices
\choice 3.961E+01 degrees
\choice 4.357E+01 degrees
\choice 4.793E+01 degrees
\choice 5.272E+01 degrees
\CorrectChoice 5.799E+01 degrees
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=6\times 10^{-7}\text{m}\).what angle does the force on \(q_2\) make above the \(-x\) axis if \(q_1=3e\), \(q_2=-7e\), and \(q_3=4e\)?
\begin{choices} %%%%%%% begin choices
\choice 5.377E+01 degrees
\choice 5.914E+01 degrees
\choice 6.506E+01 degrees
\CorrectChoice 7.157E+01 degrees
\choice 7.872E+01 degrees
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=2\times 10^{-7}\text{m}\).what angle does the force on \(q_2\) make above the \(-x\) axis if \(q_1=2e\), \(q_2=-7e\), and \(q_3=5e\)?
\begin{choices} %%%%%%% begin choices
\choice 4.357E+01 degrees
\choice 4.793E+01 degrees
\choice 5.272E+01 degrees
\CorrectChoice 5.799E+01 degrees
\choice 6.379E+01 degrees
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=2\times 10^{-7}\text{m}\).what angle does the force on \(q_2\) make above the \(-x\) axis if \(q_1=2e\), \(q_2=-7e\), and \(q_3=3e\)?
\begin{choices} %%%%%%% begin choices
\choice 4.743E+01 degrees
\choice 5.217E+01 degrees
\choice 5.739E+01 degrees
\choice 6.313E+01 degrees
\CorrectChoice 6.944E+01 degrees
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=2\times 10^{-7}\text{m}\).what angle does the force on \(q_2\) make above the \(-x\) axis if \(q_1=2e\), \(q_2=-9e\), and \(q_3=4e\)?
\begin{choices} %%%%%%% begin choices
\choice 5.243E+01 degrees
\choice 5.767E+01 degrees
\CorrectChoice 6.343E+01 degrees
\choice 6.978E+01 degrees
\choice 7.676E+01 degrees
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=4\times 10^{-7}\text{m}\).what angle does the force on \(q_2\) make above the \(-x\) axis if \(q_1=3e\), \(q_2=-9e\), and \(q_3=6e\)?
\begin{choices} %%%%%%% begin choices
\choice 5.767E+01 degrees
\CorrectChoice 6.343E+01 degrees
\choice 6.978E+01 degrees
\choice 7.676E+01 degrees
\choice 8.443E+01 degrees
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=4\times 10^{-7}\text{m}\).what angle does the force on \(q_2\) make above the \(-x\) axis if \(q_1=3e\), \(q_2=-8e\), and \(q_3=6e\)?
\begin{choices} %%%%%%% begin choices
\choice 5.243E+01 degrees
\choice 5.767E+01 degrees
\CorrectChoice 6.343E+01 degrees
\choice 6.978E+01 degrees
\choice 7.676E+01 degrees
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=6\times 10^{-7}\text{m}\).what angle does the force on \(q_2\) make above the \(-x\) axis if \(q_1=3e\), \(q_2=-7e\), and \(q_3=4e\)?
\begin{choices} %%%%%%% begin choices
\choice 5.914E+01 degrees
\choice 6.506E+01 degrees
\CorrectChoice 7.157E+01 degrees
\choice 7.872E+01 degrees
\choice 8.659E+01 degrees
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=6\times 10^{-7}\text{m}\).what angle does the force on \(q_2\) make above the \(-x\) axis if \(q_1=2e\), \(q_2=-9e\), and \(q_3=4e\)?
\begin{choices} %%%%%%% begin choices
\choice 4.766E+01 degrees
\choice 5.243E+01 degrees
\choice 5.767E+01 degrees
\CorrectChoice 6.343E+01 degrees
\choice 6.978E+01 degrees
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=6\times 10^{-7}\text{m}\).what angle does the force on \(q_2\) make above the \(-x\) axis if \(q_1=3e\), \(q_2=-8e\), and \(q_3=5e\)?
\begin{choices} %%%%%%% begin choices
\choice 5.062E+01 degrees
\choice 5.569E+01 degrees
\choice 6.125E+01 degrees
\CorrectChoice 6.738E+01 degrees
\choice 7.412E+01 degrees
\end{choices} %%% end choices
\question
\includegraphics[width=0.12\textwidth]{ThreeChargesAtCornerOfRectangle.png}Three small charged objects are placed as shown, where \(b=2a\), and \(a=2\times 10^{-7}\text{m}\).what angle does the force on \(q_2\) make above the \(-x\) axis if \(q_1=1e\), \(q_2=-8e\), and \(q_3=3e\)?
\begin{choices} %%%%%%% begin choices
\choice 3.629E+01 degrees
\choice 3.992E+01 degrees
\choice 4.391E+01 degrees
\choice 4.830E+01 degrees
\CorrectChoice 5.313E+01 degrees
\end{choices} %%% end choices
%\pagebreak
%\end{choices}%??????????????
\end{questions}%%%%%%%% end questions
\subsection{}%%%% subsection 3
\begin{questions} %%%%%%% begin questions
\question
\includegraphics[width=0.142\textwidth]{ChargedLineSegmentTestQuestion.png} \(E_z(x=0,z)=\int_{-a}^b f(x,z)dx\)is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate \(f(x,y)\) at x=0.83 m if a=1.1 m, b=1.9 m. The total charge on the rod is 2 nC.
\begin{choices} %%%%%%% begin choices
\choice 1.040E+00 V/m\textsuperscript{2}
\choice 1.145E+00 V/m\textsuperscript{2}
\choice 1.259E+00 V/m\textsuperscript{2}
\CorrectChoice 1.385E+00 V/m\textsuperscript{2}
\choice 1.523E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{ChargedLineSegmentTestQuestion.png} \(E_z(x=0,z)=\int_{-a}^b f(x,z)dx\)is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.7 m. Evaluate \(f(x,y)\) at x=0.76 m if a=1.1 m, b=1.6 m. The total charge on the rod is 8 nC.
\begin{choices} %%%%%%% begin choices
\choice 5.267E+00 V/m\textsuperscript{2}
\choice 5.794E+00 V/m\textsuperscript{2}
\choice 6.374E+00 V/m\textsuperscript{2}
\CorrectChoice 7.011E+00 V/m\textsuperscript{2}
\choice 7.712E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{ChargedLineSegmentTestQuestion.png} \(E_z(x=0,z)=\int_{-a}^b f(x,z)dx\)is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.4 m. Evaluate \(f(x,y)\) at x=1.1 m if a=0.69 m, b=2.2 m. The total charge on the rod is 6 nC.
\begin{choices} %%%%%%% begin choices
\choice 3.161E+00 V/m\textsuperscript{2}
\choice 3.477E+00 V/m\textsuperscript{2}
\choice 3.825E+00 V/m\textsuperscript{2}
\choice 4.208E+00 V/m\textsuperscript{2}
\CorrectChoice 4.628E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{ChargedLineSegmentTestQuestion.png} \(E_z(x=0,z)=\int_{-a}^b f(x,z)dx\)is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate \(f(x,y)\) at x=1.1 m if a=0.61 m, b=1.7 m. The total charge on the rod is 8 nC.
\begin{choices} %%%%%%% begin choices
\choice 5.995E+00 V/m\textsuperscript{2}
\choice 6.595E+00 V/m\textsuperscript{2}
\CorrectChoice 7.254E+00 V/m\textsuperscript{2}
\choice 7.980E+00 V/m\textsuperscript{2}
\choice 8.778E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{ChargedLineSegmentTestQuestion.png} \(E_z(x=0,z)=\int_{-a}^b f(x,z)dx\)is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.3 m. Evaluate \(f(x,y)\) at x=0.83 m if a=0.82 m, b=1.3 m. The total charge on the rod is 7 nC.
\begin{choices} %%%%%%% begin choices
\choice 8.690E+00 V/m\textsuperscript{2}
\choice 9.559E+00 V/m\textsuperscript{2}
\CorrectChoice 1.051E+01 V/m\textsuperscript{2}
\choice 1.157E+01 V/m\textsuperscript{2}
\choice 1.272E+01 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{ChargedLineSegmentTestQuestion.png} \(E_z(x=0,z)=\int_{-a}^b f(x,z)dx\)is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate \(f(x,y)\) at x=1.0 m if a=1.0 m, b=1.8 m. The total charge on the rod is 6 nC.
\begin{choices} %%%%%%% begin choices
\choice 3.610E+00 V/m\textsuperscript{2}
\CorrectChoice 3.971E+00 V/m\textsuperscript{2}
\choice 4.368E+00 V/m\textsuperscript{2}
\choice 4.804E+00 V/m\textsuperscript{2}
\choice 5.285E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{ChargedLineSegmentTestQuestion.png} \(E_z(x=0,z)=\int_{-a}^b f(x,z)dx\)is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate \(f(x,y)\) at x=1.0 m if a=1.1 m, b=1.4 m. The total charge on the rod is 5 nC.
\begin{choices} %%%%%%% begin choices
\CorrectChoice 4.602E+00 V/m\textsuperscript{2}
\choice 5.062E+00 V/m\textsuperscript{2}
\choice 5.568E+00 V/m\textsuperscript{2}
\choice 6.125E+00 V/m\textsuperscript{2}
\choice 6.738E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{ChargedLineSegmentTestQuestion.png} \(E_z(x=0,z)=\int_{-a}^b f(x,z)dx\)is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.2 m. Evaluate \(f(x,y)\) at x=0.73 m if a=0.52 m, b=1.6 m. The total charge on the rod is 7 nC.
\begin{choices} %%%%%%% begin choices
\choice 9.655E+00 V/m\textsuperscript{2}
\choice 1.062E+01 V/m\textsuperscript{2}
\choice 1.168E+01 V/m\textsuperscript{2}
\CorrectChoice 1.285E+01 V/m\textsuperscript{2}
\choice 1.414E+01 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{ChargedLineSegmentTestQuestion.png} \(E_z(x=0,z)=\int_{-a}^b f(x,z)dx\)is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate \(f(x,y)\) at x=0.79 m if a=0.75 m, b=2.1 m. The total charge on the rod is 6 nC.
\begin{choices} %%%%%%% begin choices
\CorrectChoice 5.825E+00 V/m\textsuperscript{2}
\choice 6.407E+00 V/m\textsuperscript{2}
\choice 7.048E+00 V/m\textsuperscript{2}
\choice 7.753E+00 V/m\textsuperscript{2}
\choice 8.528E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{ChargedLineSegmentTestQuestion.png} \(E_z(x=0,z)=\int_{-a}^b f(x,z)dx\)is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.3 m. Evaluate \(f(x,y)\) at x=0.96 m if a=0.63 m, b=1.4 m. The total charge on the rod is 3 nC.
\begin{choices} %%%%%%% begin choices
\choice 3.719E+00 V/m\textsuperscript{2}
\CorrectChoice 4.091E+00 V/m\textsuperscript{2}
\choice 4.500E+00 V/m\textsuperscript{2}
\choice 4.950E+00 V/m\textsuperscript{2}
\choice 5.445E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{ChargedLineSegmentTestQuestion.png} \(E_z(x=0,z)=\int_{-a}^b f(x,z)dx\)is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate \(f(x,y)\) at x=0.65 m if a=0.85 m, b=1.8 m. The total charge on the rod is 5 nC.
\begin{choices} %%%%%%% begin choices
\choice 3.959E+00 V/m\textsuperscript{2}
\CorrectChoice 4.355E+00 V/m\textsuperscript{2}
\choice 4.790E+00 V/m\textsuperscript{2}
\choice 5.269E+00 V/m\textsuperscript{2}
\choice 5.796E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{ChargedLineSegmentTestQuestion.png} \(E_z(x=0,z)=\int_{-a}^b f(x,z)dx\)is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate \(f(x,y)\) at x=0.5 m if a=0.67 m, b=2.4 m. The total charge on the rod is 9 nC.
\begin{choices} %%%%%%% begin choices
\choice 5.465E+00 V/m\textsuperscript{2}
\choice 6.012E+00 V/m\textsuperscript{2}
\choice 6.613E+00 V/m\textsuperscript{2}
\CorrectChoice 7.274E+00 V/m\textsuperscript{2}
\choice 8.002E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{ChargedLineSegmentTestQuestion.png} \(E_z(x=0,z)=\int_{-a}^b f(x,z)dx\)is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate \(f(x,y)\) at x=1.1 m if a=0.62 m, b=1.3 m. The total charge on the rod is 7 nC.
\begin{choices} %%%%%%% begin choices
\choice 6.311E+00 V/m\textsuperscript{2}
\choice 6.943E+00 V/m\textsuperscript{2}
\CorrectChoice 7.637E+00 V/m\textsuperscript{2}
\choice 8.401E+00 V/m\textsuperscript{2}
\choice 9.241E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{ChargedLineSegmentTestQuestion.png} \(E_z(x=0,z)=\int_{-a}^b f(x,z)dx\)is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m. Evaluate \(f(x,y)\) at x=0.83 m if a=0.7 m, b=1.8 m. The total charge on the rod is 9 nC.
\begin{choices} %%%%%%% begin choices
\CorrectChoice 6.897E+00 V/m\textsuperscript{2}
\choice 7.587E+00 V/m\textsuperscript{2}
\choice 8.345E+00 V/m\textsuperscript{2}
\choice 9.180E+00 V/m\textsuperscript{2}
\choice 1.010E+01 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{ChargedLineSegmentTestQuestion.png} \(E_z(x=0,z)=\int_{-a}^b f(x,z)dx\)is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.7 m. Evaluate \(f(x,y)\) at x=0.52 m if a=0.88 m, b=1.3 m. The total charge on the rod is 6 nC.
\begin{choices} %%%%%%% begin choices
\choice 6.804E+00 V/m\textsuperscript{2}
\CorrectChoice 7.485E+00 V/m\textsuperscript{2}
\choice 8.233E+00 V/m\textsuperscript{2}
\choice 9.056E+00 V/m\textsuperscript{2}
\choice 9.962E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{ChargedLineSegmentTestQuestion.png} \(E_z(x=0,z)=\int_{-a}^b f(x,z)dx\)is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.2 m. Evaluate \(f(x,y)\) at x=0.54 m if a=0.76 m, b=1.7 m. The total charge on the rod is 8 nC.
\begin{choices} %%%%%%% begin choices
\choice 1.399E+01 V/m\textsuperscript{2}
\CorrectChoice 1.539E+01 V/m\textsuperscript{2}
\choice 1.693E+01 V/m\textsuperscript{2}
\choice 1.862E+01 V/m\textsuperscript{2}
\choice 2.049E+01 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{ChargedLineSegmentTestQuestion.png} \(E_z(x=0,z)=\int_{-a}^b f(x,z)dx\)is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m. Evaluate \(f(x,y)\) at x=0.54 m if a=1.0 m, b=2.0 m. The total charge on the rod is 3 nC.
\begin{choices} %%%%%%% begin choices
\choice 1.665E+00 V/m\textsuperscript{2}
\choice 1.831E+00 V/m\textsuperscript{2}
\choice 2.014E+00 V/m\textsuperscript{2}
\CorrectChoice 2.216E+00 V/m\textsuperscript{2}
\choice 2.437E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{ChargedLineSegmentTestQuestion.png} \(E_z(x=0,z)=\int_{-a}^b f(x,z)dx\)is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.6 m. Evaluate \(f(x,y)\) at x=0.73 m if a=0.64 m, b=1.8 m. The total charge on the rod is 3 nC.
\begin{choices} %%%%%%% begin choices
\choice 2.955E+00 V/m\textsuperscript{2}
\CorrectChoice 3.250E+00 V/m\textsuperscript{2}
\choice 3.575E+00 V/m\textsuperscript{2}
\choice 3.933E+00 V/m\textsuperscript{2}
\choice 4.326E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{ChargedLineSegmentTestQuestion.png} \(E_z(x=0,z)=\int_{-a}^b f(x,z)dx\)is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m. Evaluate \(f(x,y)\) at x=0.96 m if a=0.95 m, b=1.8 m. The total charge on the rod is 7 nC.
\begin{choices} %%%%%%% begin choices
\choice 3.385E+00 V/m\textsuperscript{2}
\choice 3.724E+00 V/m\textsuperscript{2}
\choice 4.096E+00 V/m\textsuperscript{2}
\CorrectChoice 4.506E+00 V/m\textsuperscript{2}
\choice 4.957E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
%\pagebreak
%\end{choices}%??????????????
\end{questions}%%%%%%%% end questions
\subsection{}%%%% subsection 4
\begin{questions} %%%%%%% begin questions
\question
\includegraphics[width=0.142\textwidth]{QuizbankQuestionLoopeFieldOnAxis.png}A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.5 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 4.608E+09 N/C\textsuperscript{2}
\choice 5.069E+09 N/C\textsuperscript{2}
\choice 5.576E+09 N/C\textsuperscript{2}
\choice 6.134E+09 N/C\textsuperscript{2}
\choice 6.747E+09 N/C\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{QuizbankQuestionLoopeFieldOnAxis.png}A ring is uniformly charged with a net charge of 4 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 5.402E+09 N/C\textsuperscript{2}
\choice 5.943E+09 N/C\textsuperscript{2}
\choice 6.537E+09 N/C\textsuperscript{2}
\choice 7.191E+09 N/C\textsuperscript{2}
\choice 7.910E+09 N/C\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{QuizbankQuestionLoopeFieldOnAxis.png}A ring is uniformly charged with a net charge of 9 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.4 m (on axis) away from the loop's center?
\begin{choices} %%%%%%% begin choices
\choice 7.119E+09 N/C\textsuperscript{2}
\choice 7.831E+09 N/C\textsuperscript{2}
\CorrectChoice 8.614E+09 N/C\textsuperscript{2}
\choice 9.476E+09 N/C\textsuperscript{2}
\choice 1.042E+10 N/C\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{QuizbankQuestionLoopeFieldOnAxis.png}A ring is uniformly charged with a net charge of 6 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.4 m (on axis) away from the loop's center?
\begin{choices} %%%%%%% begin choices
\choice 2.013E+09 N/C\textsuperscript{2}
\choice 2.214E+09 N/C\textsuperscript{2}
\choice 2.435E+09 N/C\textsuperscript{2}
\choice 2.679E+09 N/C\textsuperscript{2}
\CorrectChoice 2.947E+09 N/C\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{QuizbankQuestionLoopeFieldOnAxis.png}A ring is uniformly charged with a net charge of 9 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.73 m (on axis) away from the loop's center?
\begin{choices} %%%%%%% begin choices
\choice 7.415E+09 N/C\textsuperscript{2}
\choice 8.156E+09 N/C\textsuperscript{2}
\choice 8.972E+09 N/C\textsuperscript{2}
\choice 9.869E+09 N/C\textsuperscript{2}
\CorrectChoice 1.086E+10 N/C\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{QuizbankQuestionLoopeFieldOnAxis.png}A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
\begin{choices} %%%%%%% begin choices
\choice 3.672E+09 N/C\textsuperscript{2}
\choice 4.039E+09 N/C\textsuperscript{2}
\choice 4.443E+09 N/C\textsuperscript{2}
\CorrectChoice 4.887E+09 N/C\textsuperscript{2}
\choice 5.376E+09 N/C\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{QuizbankQuestionLoopeFieldOnAxis.png}A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.5 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.33 m (on axis) away from the loop's center?
\begin{choices} %%%%%%% begin choices
\choice 1.353E+09 N/C\textsuperscript{2}
\choice 1.488E+09 N/C\textsuperscript{2}
\CorrectChoice 1.637E+09 N/C\textsuperscript{2}
\choice 1.801E+09 N/C\textsuperscript{2}
\choice 1.981E+09 N/C\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{QuizbankQuestionLoopeFieldOnAxis.png}A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
\begin{choices} %%%%%%% begin choices
\choice 1.764E+09 N/C\textsuperscript{2}
\choice 1.941E+09 N/C\textsuperscript{2}
\CorrectChoice 2.135E+09 N/C\textsuperscript{2}
\choice 2.348E+09 N/C\textsuperscript{2}
\choice 2.583E+09 N/C\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{QuizbankQuestionLoopeFieldOnAxis.png}A ring is uniformly charged with a net charge of 5 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
\begin{choices} %%%%%%% begin choices
\choice 5.581E+09 N/C\textsuperscript{2}
\choice 6.139E+09 N/C\textsuperscript{2}
\CorrectChoice 6.753E+09 N/C\textsuperscript{2}
\choice 7.428E+09 N/C\textsuperscript{2}
\choice 8.171E+09 N/C\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{QuizbankQuestionLoopeFieldOnAxis.png}A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 3.159E+09 N/C\textsuperscript{2}
\choice 3.475E+09 N/C\textsuperscript{2}
\choice 3.823E+09 N/C\textsuperscript{2}
\choice 4.205E+09 N/C\textsuperscript{2}
\choice 4.626E+09 N/C\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{QuizbankQuestionLoopeFieldOnAxis.png}A ring is uniformly charged with a net charge of 4 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.0 m (on axis) away from the loop's center?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 5.352E+09 N/C\textsuperscript{2}
\choice 5.887E+09 N/C\textsuperscript{2}
\choice 6.476E+09 N/C\textsuperscript{2}
\choice 7.124E+09 N/C\textsuperscript{2}
\choice 7.836E+09 N/C\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{QuizbankQuestionLoopeFieldOnAxis.png}A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.99 m (on axis) away from the loop's center?
\begin{choices} %%%%%%% begin choices
\choice 2.429E+09 N/C\textsuperscript{2}
\CorrectChoice 2.672E+09 N/C\textsuperscript{2}
\choice 2.939E+09 N/C\textsuperscript{2}
\choice 3.233E+09 N/C\textsuperscript{2}
\choice 3.556E+09 N/C\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{QuizbankQuestionLoopeFieldOnAxis.png}A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.2 m (on axis) away from the loop's center?
\begin{choices} %%%%%%% begin choices
\choice 6.925E+09 N/C\textsuperscript{2}
\choice 7.617E+09 N/C\textsuperscript{2}
\CorrectChoice 8.379E+09 N/C\textsuperscript{2}
\choice 9.217E+09 N/C\textsuperscript{2}
\choice 1.014E+10 N/C\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{QuizbankQuestionLoopeFieldOnAxis.png}A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
\begin{choices} %%%%%%% begin choices
\choice 1.202E+09 N/C\textsuperscript{2}
\choice 1.322E+09 N/C\textsuperscript{2}
\choice 1.454E+09 N/C\textsuperscript{2}
\choice 1.599E+09 N/C\textsuperscript{2}
\CorrectChoice 1.759E+09 N/C\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{QuizbankQuestionLoopeFieldOnAxis.png}A ring is uniformly charged with a net charge of 8 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.32 m (on axis) away from the loop's center?
\begin{choices} %%%%%%% begin choices
\choice 3.339E+09 N/C\textsuperscript{2}
\choice 3.673E+09 N/C\textsuperscript{2}
\choice 4.041E+09 N/C\textsuperscript{2}
\CorrectChoice 4.445E+09 N/C\textsuperscript{2}
\choice 4.889E+09 N/C\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{QuizbankQuestionLoopeFieldOnAxis.png}A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.35 m (on axis) away from the loop's center?
\begin{choices} %%%%%%% begin choices
\choice 4.142E+09 N/C\textsuperscript{2}
\choice 4.556E+09 N/C\textsuperscript{2}
\CorrectChoice 5.012E+09 N/C\textsuperscript{2}
\choice 5.513E+09 N/C\textsuperscript{2}
\choice 6.064E+09 N/C\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{QuizbankQuestionLoopeFieldOnAxis.png}A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 3.159E+09 N/C\textsuperscript{2}
\choice 3.475E+09 N/C\textsuperscript{2}
\choice 3.823E+09 N/C\textsuperscript{2}
\choice 4.205E+09 N/C\textsuperscript{2}
\choice 4.626E+09 N/C\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{QuizbankQuestionLoopeFieldOnAxis.png}A ring is uniformly charged with a net charge of 5 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 4.788E+09 N/C\textsuperscript{2}
\choice 5.267E+09 N/C\textsuperscript{2}
\choice 5.793E+09 N/C\textsuperscript{2}
\choice 6.373E+09 N/C\textsuperscript{2}
\choice 7.010E+09 N/C\textsuperscript{2}
\end{choices} %%% end choices
\question
\includegraphics[width=0.142\textwidth]{QuizbankQuestionLoopeFieldOnAxis.png}A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 8.336E+09 N/C\textsuperscript{2}
\choice 9.170E+09 N/C\textsuperscript{2}
\choice 1.009E+10 N/C\textsuperscript{2}
\choice 1.110E+10 N/C\textsuperscript{2}
\choice 1.220E+10 N/C\textsuperscript{2}
\end{choices} %%% end choices
%\pagebreak
%\end{choices}%??????????????
\end{questions}%%%%%%%% end questions
\subsection{}%%%% subsection 5
\begin{questions} %%%%%%% begin questions
\question \(E(z)=\int_{0}^R f(r',z)dr'\)is an integral that calculates the magnitude of the electric field at a distance \(z\) fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is \(R=5.9\text{ m}\) and the surface charge density is \(\sigma=4\text{ nC/m}^3\). Evaluate \(f(r',z)\) at \(r'=3.5\text{ m}\).
\begin{choices} %%%%%%% begin choices
\choice 2.021E+00 V/m\textsuperscript{2}
\choice 2.224E+00 V/m\textsuperscript{2}
\choice 2.446E+00 V/m\textsuperscript{2}
\CorrectChoice 2.691E+00 V/m\textsuperscript{2}
\choice 2.960E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question \(E(z)=\int_{0}^R f(r',z)dr'\)is an integral that calculates the magnitude of the electric field at a distance \(z\) fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is \(R=6.9\text{ m}\) and the surface charge density is \(\sigma=9\text{ nC/m}^3\). Evaluate \(f(r',z)\) at \(r'=4.3\text{ m}\).
\begin{choices} %%%%%%% begin choices
\choice 8.924E-01 V/m\textsuperscript{2}
\choice 9.816E-01 V/m\textsuperscript{2}
\CorrectChoice 1.080E+00 V/m\textsuperscript{2}
\choice 1.188E+00 V/m\textsuperscript{2}
\choice 1.307E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question \(E(z)=\int_{0}^R f(r',z)dr'\)is an integral that calculates the magnitude of the electric field at a distance \(z\) fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is \(R=8.7\text{ m}\) and the surface charge density is \(\sigma=7\text{ nC/m}^3\). Evaluate \(f(r',z)\) at \(r'=5.8\text{ m}\).
\begin{choices} %%%%%%% begin choices
\choice 3.722E-01 V/m\textsuperscript{2}
\choice 4.094E-01 V/m\textsuperscript{2}
\choice 4.504E-01 V/m\textsuperscript{2}
\CorrectChoice 4.954E-01 V/m\textsuperscript{2}
\choice 5.450E-01 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question \(E(z)=\int_{0}^R f(r',z)dr'\)is an integral that calculates the magnitude of the electric field at a distance \(z\) fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is \(R=4.3\text{ m}\) and the surface charge density is \(\sigma=2\text{ nC/m}^3\). Evaluate \(f(r',z)\) at \(r'=2.4\text{ m}\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 5.647E+00 V/m\textsuperscript{2}
\choice 6.212E+00 V/m\textsuperscript{2}
\choice 6.833E+00 V/m\textsuperscript{2}
\choice 7.517E+00 V/m\textsuperscript{2}
\choice 8.268E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question \(E(z)=\int_{0}^R f(r',z)dr'\)is an integral that calculates the magnitude of the electric field at a distance \(z\) fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is \(R=9.1\text{ m}\) and the surface charge density is \(\sigma=2\text{ nC/m}^3\). Evaluate \(f(r',z)\) at \(r'=6.2\text{ m}\).
\begin{choices} %%%%%%% begin choices
\choice 4.961E-01 V/m\textsuperscript{2}
\choice 5.457E-01 V/m\textsuperscript{2}
\choice 6.002E-01 V/m\textsuperscript{2}
\choice 6.603E-01 V/m\textsuperscript{2}
\CorrectChoice 7.263E-01 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question \(E(z)=\int_{0}^R f(r',z)dr'\)is an integral that calculates the magnitude of the electric field at a distance \(z\) fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is \(R=6.8\text{ m}\) and the surface charge density is \(\sigma=6\text{ nC/m}^3\). Evaluate \(f(r',z)\) at \(r'=3.6\text{ m}\).
\begin{choices} %%%%%%% begin choices
\choice 1.258E+00 V/m\textsuperscript{2}
\choice 1.384E+00 V/m\textsuperscript{2}
\choice 1.522E+00 V/m\textsuperscript{2}
\CorrectChoice 1.674E+00 V/m\textsuperscript{2}
\choice 1.842E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question \(E(z)=\int_{0}^R f(r',z)dr'\)is an integral that calculates the magnitude of the electric field at a distance \(z\) fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is \(R=1.4\text{ m}\) and the surface charge density is \(\sigma=6\text{ nC/m}^3\). Evaluate \(f(r',z)\) at \(r'=0.56\text{ m}\).
\begin{choices} %%%%%%% begin choices
\choice 2.567E+01 V/m\textsuperscript{2}
\choice 2.824E+01 V/m\textsuperscript{2}
\choice 3.106E+01 V/m\textsuperscript{2}
\choice 3.417E+01 V/m\textsuperscript{2}
\CorrectChoice 3.759E+01 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question \(E(z)=\int_{0}^R f(r',z)dr'\)is an integral that calculates the magnitude of the electric field at a distance \(z\) fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is \(R=8.1\text{ m}\) and the surface charge density is \(\sigma=3\text{ nC/m}^3\). Evaluate \(f(r',z)\) at \(r'=4.2\text{ m}\).
\begin{choices} %%%%%%% begin choices
\choice 5.134E-01 V/m\textsuperscript{2}
\CorrectChoice 5.648E-01 V/m\textsuperscript{2}
\choice 6.212E-01 V/m\textsuperscript{2}
\choice 6.834E-01 V/m\textsuperscript{2}
\choice 7.517E-01 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question \(E(z)=\int_{0}^R f(r',z)dr'\)is an integral that calculates the magnitude of the electric field at a distance \(z\) fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is \(R=2.0\text{ m}\) and the surface charge density is \(\sigma=9\text{ nC/m}^3\). Evaluate \(f(r',z)\) at \(r'=1.2\text{ m}\).
\begin{choices} %%%%%%% begin choices
\choice 8.933E+00 V/m\textsuperscript{2}
\choice 9.826E+00 V/m\textsuperscript{2}
\CorrectChoice 1.081E+01 V/m\textsuperscript{2}
\choice 1.189E+01 V/m\textsuperscript{2}
\choice 1.308E+01 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question \(E(z)=\int_{0}^R f(r',z)dr'\)is an integral that calculates the magnitude of the electric field at a distance \(z\) fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is \(R=8.3\text{ m}\) and the surface charge density is \(\sigma=5\text{ nC/m}^3\). Evaluate \(f(r',z)\) at \(r'=5.3\text{ m}\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 1.022E+00 V/m\textsuperscript{2}
\choice 1.125E+00 V/m\textsuperscript{2}
\choice 1.237E+00 V/m\textsuperscript{2}
\choice 1.361E+00 V/m\textsuperscript{2}
\choice 1.497E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question \(E(z)=\int_{0}^R f(r',z)dr'\)is an integral that calculates the magnitude of the electric field at a distance \(z\) fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is \(R=7.2\text{ m}\) and the surface charge density is \(\sigma=3\text{ nC/m}^3\). Evaluate \(f(r',z)\) at \(r'=3.6\text{ m}\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 1.606E+00 V/m\textsuperscript{2}
\choice 1.767E+00 V/m\textsuperscript{2}
\choice 1.943E+00 V/m\textsuperscript{2}
\choice 2.138E+00 V/m\textsuperscript{2}
\choice 2.351E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question \(E(z)=\int_{0}^R f(r',z)dr'\)is an integral that calculates the magnitude of the electric field at a distance \(z\) fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is \(R=1.8\text{ m}\) and the surface charge density is \(\sigma=3\text{ nC/m}^3\). Evaluate \(f(r',z)\) at \(r'=1.1\text{ m}\).
\begin{choices} %%%%%%% begin choices
\choice 7.517E+00 V/m\textsuperscript{2}
\choice 8.269E+00 V/m\textsuperscript{2}
\choice 9.096E+00 V/m\textsuperscript{2}
\choice 1.001E+01 V/m\textsuperscript{2}
\CorrectChoice 1.101E+01 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question \(E(z)=\int_{0}^R f(r',z)dr'\)is an integral that calculates the magnitude of the electric field at a distance \(z\) fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is \(R=7.9\text{ m}\) and the surface charge density is \(\sigma=2\text{ nC/m}^3\). Evaluate \(f(r',z)\) at \(r'=5.1\text{ m}\).
\begin{choices} %%%%%%% begin choices
\choice 8.253E-01 V/m\textsuperscript{2}
\choice 9.079E-01 V/m\textsuperscript{2}
\CorrectChoice 9.987E-01 V/m\textsuperscript{2}
\choice 1.099E+00 V/m\textsuperscript{2}
\choice 1.208E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question \(E(z)=\int_{0}^R f(r',z)dr'\)is an integral that calculates the magnitude of the electric field at a distance \(z\) fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is \(R=7.5\text{ m}\) and the surface charge density is \(\sigma=3\text{ nC/m}^3\). Evaluate \(f(r',z)\) at \(r'=2.6\text{ m}\).
\begin{choices} %%%%%%% begin choices
\choice 7.820E-01 V/m\textsuperscript{2}
\CorrectChoice 8.602E-01 V/m\textsuperscript{2}
\choice 9.462E-01 V/m\textsuperscript{2}
\choice 1.041E+00 V/m\textsuperscript{2}
\choice 1.145E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question \(E(z)=\int_{0}^R f(r',z)dr'\)is an integral that calculates the magnitude of the electric field at a distance \(z\) fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is \(R=1.8\text{ m}\) and the surface charge density is \(\sigma=9\text{ nC/m}^3\). Evaluate \(f(r',z)\) at \(r'=0.83\text{ m}\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 2.898E+01 V/m\textsuperscript{2}
\choice 3.188E+01 V/m\textsuperscript{2}
\choice 3.507E+01 V/m\textsuperscript{2}
\choice 3.857E+01 V/m\textsuperscript{2}
\choice 4.243E+01 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question \(E(z)=\int_{0}^R f(r',z)dr'\)is an integral that calculates the magnitude of the electric field at a distance \(z\) fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is \(R=3.2\text{ m}\) and the surface charge density is \(\sigma=2\text{ nC/m}^3\). Evaluate \(f(r',z)\) at \(r'=2.2\text{ m}\).
\begin{choices} %%%%%%% begin choices
\choice 3.228E+00 V/m\textsuperscript{2}
\choice 3.551E+00 V/m\textsuperscript{2}
\choice 3.906E+00 V/m\textsuperscript{2}
\choice 4.297E+00 V/m\textsuperscript{2}
\CorrectChoice 4.727E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question \(E(z)=\int_{0}^R f(r',z)dr'\)is an integral that calculates the magnitude of the electric field at a distance \(z\) fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is \(R=3.0\text{ m}\) and the surface charge density is \(\sigma=8\text{ nC/m}^3\). Evaluate \(f(r',z)\) at \(r'=2.0\text{ m}\).
\begin{choices} %%%%%%% begin choices
\choice 9.459E+00 V/m\textsuperscript{2}
\CorrectChoice 1.040E+01 V/m\textsuperscript{2}
\choice 1.145E+01 V/m\textsuperscript{2}
\choice 1.259E+01 V/m\textsuperscript{2}
\choice 1.385E+01 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question \(E(z)=\int_{0}^R f(r',z)dr'\)is an integral that calculates the magnitude of the electric field at a distance \(z\) fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is \(R=2.8\text{ m}\) and the surface charge density is \(\sigma=3\text{ nC/m}^3\). Evaluate \(f(r',z)\) at \(r'=1.9\text{ m}\).
\begin{choices} %%%%%%% begin choices
\choice 4.295E+00 V/m\textsuperscript{2}
\CorrectChoice 4.724E+00 V/m\textsuperscript{2}
\choice 5.196E+00 V/m\textsuperscript{2}
\choice 5.716E+00 V/m\textsuperscript{2}
\choice 6.288E+00 V/m\textsuperscript{2}
\end{choices} %%% end choices
\question \(E(z)=\int_{0}^R f(r',z)dr'\)is an integral that calculates the magnitude of the electric field at a distance \(z\) fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is \(R=3.3\text{ m}\) and the surface charge density is \(\sigma=4\text{ nC/m}^3\). Evaluate \(f(r',z)\) at \(r'=2.0\text{ m}\).
\begin{choices} %%%%%%% begin choices
\choice 6.877E+00 V/m\textsuperscript{2}
\choice 7.565E+00 V/m\textsuperscript{2}
\CorrectChoice 8.321E+00 V/m\textsuperscript{2}
\choice 9.153E+00 V/m\textsuperscript{2}
\choice 1.007E+01 V/m\textsuperscript{2}
\end{choices} %%% end choices
%\pagebreak
%\end{choices}%??????????????
\end{questions}%%%%%%%% end questions
\subsection{}%%%% subsection 6
\begin{questions} %%%%%%% begin questions
\question A large thin isolated square plate has an area of 9 m\textsuperscript{2}. It is uniformly charged with 8 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 5.020E+01 N/C
\choice 5.522E+01 N/C
\choice 6.074E+01 N/C
\choice 6.681E+01 N/C
\choice 7.349E+01 N/C
\end{choices} %%% end choices
\question A large thin isolated square plate has an area of 3 m\textsuperscript{2}. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 1.694E+02 N/C
\choice 1.864E+02 N/C
\choice 2.050E+02 N/C
\choice 2.255E+02 N/C
\choice 2.480E+02 N/C
\end{choices} %%% end choices
\question A large thin isolated square plate has an area of 3 m\textsuperscript{2}. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 9.412E+01 N/C
\choice 1.035E+02 N/C
\choice 1.139E+02 N/C
\choice 1.253E+02 N/C
\choice 1.378E+02 N/C
\end{choices} %%% end choices
\question A large thin isolated square plate has an area of 4 m\textsuperscript{2}. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?
\begin{choices} %%%%%%% begin choices
\choice 9.546E+01 N/C
\choice 1.050E+02 N/C
\choice 1.155E+02 N/C
\CorrectChoice 1.271E+02 N/C
\choice 1.398E+02 N/C
\end{choices} %%% end choices
\question A large thin isolated square plate has an area of 9 m\textsuperscript{2}. It is uniformly charged with 6 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?
\begin{choices} %%%%%%% begin choices
\choice 2.571E+01 N/C
\choice 2.828E+01 N/C
\choice 3.111E+01 N/C
\choice 3.422E+01 N/C
\CorrectChoice 3.765E+01 N/C
\end{choices} %%% end choices
\question A large thin isolated square plate has an area of 5 m\textsuperscript{2}. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?
\begin{choices} %%%%%%% begin choices
\choice 6.534E+01 N/C
\choice 7.187E+01 N/C
\CorrectChoice 7.906E+01 N/C
\choice 8.696E+01 N/C
\choice 9.566E+01 N/C
\end{choices} %%% end choices
\question A large thin isolated square plate has an area of 4 m\textsuperscript{2}. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?
\begin{choices} %%%%%%% begin choices
\choice 4.821E+01 N/C
\choice 5.303E+01 N/C
\choice 5.834E+01 N/C
\choice 6.417E+01 N/C
\CorrectChoice 7.059E+01 N/C
\end{choices} %%% end choices
\question A large thin isolated square plate has an area of 8 m\textsuperscript{2}. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?
\begin{choices} %%%%%%% begin choices
\choice 2.652E+01 N/C
\choice 2.917E+01 N/C
\choice 3.209E+01 N/C
\CorrectChoice 3.529E+01 N/C
\choice 3.882E+01 N/C
\end{choices} %%% end choices
\question A large thin isolated square plate has an area of 5 m\textsuperscript{2}. It is uniformly charged with 8 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?
\begin{choices} %%%%%%% begin choices
\choice 6.171E+01 N/C
\choice 6.788E+01 N/C
\choice 7.467E+01 N/C
\choice 8.214E+01 N/C
\CorrectChoice 9.035E+01 N/C
\end{choices} %%% end choices
\question A large thin isolated square plate has an area of 9 m\textsuperscript{2}. It is uniformly charged with 8 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?
\begin{choices} %%%%%%% begin choices
\choice 3.428E+01 N/C
\choice 3.771E+01 N/C
\choice 4.148E+01 N/C
\choice 4.563E+01 N/C
\CorrectChoice 5.020E+01 N/C
\end{choices} %%% end choices
\question A large thin isolated square plate has an area of 6 m\textsuperscript{2}. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?
\begin{choices} %%%%%%% begin choices
\choice 7.000E+01 N/C
\choice 7.701E+01 N/C
\CorrectChoice 8.471E+01 N/C
\choice 9.318E+01 N/C
\choice 1.025E+02 N/C
\end{choices} %%% end choices
\question A large thin isolated square plate has an area of 6 m\textsuperscript{2}. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?
\begin{choices} %%%%%%% begin choices
\choice 3.214E+01 N/C
\choice 3.536E+01 N/C
\choice 3.889E+01 N/C
\choice 4.278E+01 N/C
\CorrectChoice 4.706E+01 N/C
\end{choices} %%% end choices
\question A large thin isolated square plate has an area of 8 m\textsuperscript{2}. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?
\begin{choices} %%%%%%% begin choices
\choice 4.492E+01 N/C
\CorrectChoice 4.941E+01 N/C
\choice 5.435E+01 N/C
\choice 5.979E+01 N/C
\choice 6.577E+01 N/C
\end{choices} %%% end choices
\question A large thin isolated square plate has an area of 9 m\textsuperscript{2}. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?
\begin{choices} %%%%%%% begin choices
\choice 2.357E+01 N/C
\choice 2.593E+01 N/C
\choice 2.852E+01 N/C
\CorrectChoice 3.137E+01 N/C
\choice 3.451E+01 N/C
\end{choices} %%% end choices
\question A large thin isolated square plate has an area of 6 m\textsuperscript{2}. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?
\begin{choices} %%%%%%% begin choices
\choice 3.214E+01 N/C
\choice 3.536E+01 N/C
\choice 3.889E+01 N/C
\choice 4.278E+01 N/C
\CorrectChoice 4.706E+01 N/C
\end{choices} %%% end choices
\question A large thin isolated square plate has an area of 6 m\textsuperscript{2}. It is uniformly charged with 6 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 5.647E+01 N/C
\choice 6.212E+01 N/C
\choice 6.833E+01 N/C
\choice 7.516E+01 N/C
\choice 8.268E+01 N/C
\end{choices} %%% end choices
\question A large thin isolated square plate has an area of 8 m\textsuperscript{2}. It is uniformly charged with 6 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?
\begin{choices} %%%%%%% begin choices
\choice 3.500E+01 N/C
\choice 3.850E+01 N/C
\CorrectChoice 4.235E+01 N/C
\choice 4.659E+01 N/C
\choice 5.125E+01 N/C
\end{choices} %%% end choices
\question A large thin isolated square plate has an area of 6 m\textsuperscript{2}. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?
\begin{choices} %%%%%%% begin choices
\choice 7.701E+01 N/C
\CorrectChoice 8.471E+01 N/C
\choice 9.318E+01 N/C
\choice 1.025E+02 N/C
\choice 1.127E+02 N/C
\end{choices} %%% end choices
\question A large thin isolated square plate has an area of 6 m\textsuperscript{2}. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 8.471E+01 N/C
\choice 9.318E+01 N/C
\choice 1.025E+02 N/C
\choice 1.127E+02 N/C
\choice 1.240E+02 N/C
\end{choices} %%% end choices
\end{questions}
\pagebreak
\section{Attribution}
\theendnotes
\end{document}