QB/c19ElectricPotentialField GaussLaw
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\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
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\\Latex markup at\\
\footnotesize{ \url{https://en.wikiversity.org/wiki/special:permalink/1863398}}
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\begin{multicols}{3}
\tableofcontents
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\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}