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QB/c19ElectricPotentialField GaussLaw

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  • At the moment, most of the physics questions have already been transferred. To see them, join myopenmath.com as a student, and "enroll" in one or both of the following courses:
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The enrollment key for each course is 123. They are all is set to practice mode, giving students unlimited attempts at each question. Instructors can also print out copies of the quiz for classroom use. If you have any problems leave a message at user talk:Guy vandegrift.

% See special:permalink/1863398 for a wikitext version of this quiz.

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%This code creates both the question and answer key using \newcommand\mytest
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\newcommand{\quiztype}{conceptual}%[[Category:QB/conceptual]]
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\newif\ifkey %estabkishes Boolean ifkey to turn on and off endnotes

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% BEGIN DOCUMENT 
\begin{document}
\title{c19ElectricPotentialField\_GaussLaw}
\author{The LaTex code that creates this quiz is released to the Public Domain\\
Attribution for each question is documented in the Appendix}
\maketitle
\begin{center}                                                                                
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\\Latex markup at\\
\footnotesize{ \url{https://en.wikiversity.org/wiki/special:permalink/1863398}}
\end{center}
\begin{frame}{}
\begin{multicols}{3}
\tableofcontents
\end{multicols}
\end{frame}
\pagebreak\section{Quiz}
\keytrue
\printanswers
\begin{questions}\keytrue

\question A cylinder of radius, R, and height H has a uniform charge density of \(\rho\).  The height is much less than the radius: \(H << R\). The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if \(z>H/2\)?\ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863398}}}\fi
\begin{choices}
\choice answer:  \(\varepsilon_0 E=    \rho z \)
\choice answer:  \(\varepsilon_0 E=   H\rho \)
\choice answer:  \(\varepsilon_0 E=   H\rho z\)
\CorrectChoice answer:  \(\varepsilon_0 E =  H\rho /2\)
\choice answer:  \(\varepsilon_0 E =  r\rho\)
\end{choices}

\question A cylinder of radius, R, and height H has a uniform charge density of \(\rho\).  The height is much less than the radius: \(H << R\). The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if \(z<H/2\)?\ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863398}}}\fi
\begin{choices}
\choice answer:  \(\varepsilon_0 E =  H\rho /2\)
\choice answer:  \(\varepsilon_0 E=    \rho z/2 \)
\CorrectChoice answer:  \(\varepsilon_0 E=    \rho z \)
\choice answer:  \(\varepsilon_0 E=   H\rho \)
\choice answer:  \(\varepsilon_0 E=   H\rho z\)
\end{choices}

\question A sphere has a uniform charge density of \(\rho\), and a radius or R.  What formula describes the electric field at a distance \(r>R\)?\ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863398}}}\fi
\begin{choices}
\choice answer:  \( r^2\varepsilon_0 E=rR^2\rho /2\)
\choice answer:  \( r^2\varepsilon_0 E=R^3\rho /2\)
\choice answer:  \( r^2\varepsilon_0 E= r^3\rho/3\)
\choice answer:  \( r^2\varepsilon_0 E=r^3\rho /2\) 
\CorrectChoice answer:  \( r^2\varepsilon_0 E=R^3\rho /3\)
\end{choices}

\question A sphere has a uniform charge density of \(\rho\), and a radius equal to R.  What formula describes the electric field at a distance \(r<R\)?\ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863398}}}\fi
\begin{choices}
\choice answer:  \( r^2\varepsilon_0 E=r^3\rho /2\) 
\choice answer:  \( r^2\varepsilon_0 E=R^3\rho /3\)
\choice answer:  \( r^2\varepsilon_0 E=Rr^2\rho /3\)
\CorrectChoice answer:  \( r^2\varepsilon_0 E=r^3\rho /3\)
\choice answer:  \( r^2\varepsilon_0 E=R^3\rho /2\)
\end{choices}

\question A cylinder of radius, R, and height H has a uniform charge density of \(\rho\).  The height is much greater than the radius: \(H >> R\)?. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if \(r<R\)? \ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863398}}}\fi
\begin{choices}
\choice answer:  \(2R\varepsilon_0 E=   r^2\rho \)
\choice answer:  \(2r\varepsilon_0 E =  R^2\rho \)
\CorrectChoice answer:  \(2\varepsilon_0 E =  r\rho \)
\choice answer:  \(2\varepsilon_0 E =  R\rho \)
\choice answer:  \(2r^2\varepsilon_0 E=  R^3  \rho \)
\end{choices}

\question A cylinder of radius, R, and height H has a uniform charge density of \(\rho\).  The height is much greater than the radius: \(H >> \). The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if \(r>R\)?\ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863398}}}\fi
\begin{choices}
\choice answer:  \(2R\varepsilon_0 E=   r^2\rho \)
\choice answer:  \(2\varepsilon_0 E =  r\rho \)
\CorrectChoice answer:  \(2r\varepsilon_0 E =  R^2\rho \)
\choice answer:  \(2r\varepsilon_0 E =  2R^2\rho \)
\choice answer:  \(2r^2\varepsilon_0 E=  R^3  \rho \)
\end{choices}

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

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