QB/c22Magnetism ampereLawSymmetry
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% See special:permalink/1863400 for a wikitext version of this quiz.
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\newif\ifkey %estabkishes Boolean ifkey to turn on and off endnotes
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% BEGIN DOCUMENT
\begin{document}
\title{c22Magnetism\_ampereLawSymmetry}
\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/1863400}}
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\begin{frame}{}
\begin{multicols}{3}
\tableofcontents
\end{multicols}
\end{frame}
\pagebreak\section{Quiz}
\keytrue
\printanswers
\begin{questions}
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 48A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,6.7)\) to the point \((6.7,0)\).\ifkey\endnote{c22Magnetism\_ampereLawSymmetry\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863400}}}\fi
\begin{choices}
\choice 9.10E+00 amps
\choice 9.98E+00 amps
\choice 1.09E+01 amps
\CorrectChoice 1.20E+01 amps
\choice 1.32E+01 amps
\end{choices}
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 67A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-6.1, 6.1)\) to the point \((6.1, 6.1)\).\ifkey\endnote{c22Magnetism\_ampereLawSymmetry\_2 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863400}}}\fi
\begin{choices}
\choice 1.27E+01 amps
\choice 1.39E+01 amps
\choice 1.53E+01 amps
\CorrectChoice 1.68E+01 amps
\choice 1.84E+01 amps
\end{choices}
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 84A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,9.3)\) to the point \((9.3,9.3)\).\ifkey\endnote{c22Magnetism\_ampereLawSymmetry\_3 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863400}}}\fi
\begin{choices}
\CorrectChoice 1.05E+01 amps
\choice 1.15E+01 amps
\choice 1.26E+01 amps
\choice 1.38E+01 amps
\choice 1.52E+01 amps
\end{choices}
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 81A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,6.4)\) to \((+\infty ,6.4)\).\ifkey\endnote{c22Magnetism\_ampereLawSymmetry\_4 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863400}}}\fi
\begin{choices}
\choice 3.37E+01 amps
\choice 3.69E+01 amps
\CorrectChoice 4.05E+01 amps
\choice 4.44E+01 amps
\choice 4.87E+01 amps
\end{choices}
\end{questions}
\newpage
\section{Renditions} %%% Renditions %%%%
\subsection{}%%%% subsection 1
\begin{questions} %%%%%%% begin questions
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 52A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,7.5)\) to the point \((7.5,0)\).
\begin{choices} %%%%%%% begin choices
\choice 1.19E+01 amps
\CorrectChoice 1.30E+01 amps
\choice 1.43E+01 amps
\choice 1.56E+01 amps
\choice 1.71E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 78A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,4.6)\) to the point \((4.6,0)\).
\begin{choices} %%%%%%% begin choices
\choice 1.62E+01 amps
\choice 1.78E+01 amps
\CorrectChoice 1.95E+01 amps
\choice 2.14E+01 amps
\choice 2.34E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 83A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,7.4)\) to the point \((7.4,0)\).
\begin{choices} %%%%%%% begin choices
\choice 1.89E+01 amps
\CorrectChoice 2.08E+01 amps
\choice 2.28E+01 amps
\choice 2.49E+01 amps
\choice 2.74E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 37A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,8.4)\) to the point \((8.4,0)\).
\begin{choices} %%%%%%% begin choices
\choice 8.44E+00 amps
\CorrectChoice 9.25E+00 amps
\choice 1.01E+01 amps
\choice 1.11E+01 amps
\choice 1.22E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 92A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,6.4)\) to the point \((6.4,0)\).
\begin{choices} %%%%%%% begin choices
\choice 2.10E+01 amps
\CorrectChoice 2.30E+01 amps
\choice 2.52E+01 amps
\choice 2.77E+01 amps
\choice 3.03E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 87A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,9.3)\) to the point \((9.3,0)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 2.18E+01 amps
\choice 2.38E+01 amps
\choice 2.61E+01 amps
\choice 2.87E+01 amps
\choice 3.14E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 47A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,9)\) to the point \((9,0)\).
\begin{choices} %%%%%%% begin choices
\choice 8.91E+00 amps
\choice 9.77E+00 amps
\choice 1.07E+01 amps
\CorrectChoice 1.18E+01 amps
\choice 1.29E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 55A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,8.7)\) to the point \((8.7,0)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 1.38E+01 amps
\choice 1.51E+01 amps
\choice 1.65E+01 amps
\choice 1.81E+01 amps
\choice 1.99E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 92A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,7.1)\) to the point \((7.1,0)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 2.30E+01 amps
\choice 2.52E+01 amps
\choice 2.77E+01 amps
\choice 3.03E+01 amps
\choice 3.32E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 40A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,6.7)\) to the point \((6.7,0)\).
\begin{choices} %%%%%%% begin choices
\choice 8.32E+00 amps
\choice 9.12E+00 amps
\CorrectChoice 1.00E+01 amps
\choice 1.10E+01 amps
\choice 1.20E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 54A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,5.4)\) to the point \((5.4,0)\).
\begin{choices} %%%%%%% begin choices
\choice 9.34E+00 amps
\choice 1.02E+01 amps
\choice 1.12E+01 amps
\choice 1.23E+01 amps
\CorrectChoice 1.35E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 48A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,9.3)\) to the point \((9.3,0)\).
\begin{choices} %%%%%%% begin choices
\choice 9.98E+00 amps
\choice 1.09E+01 amps
\CorrectChoice 1.20E+01 amps
\choice 1.32E+01 amps
\choice 1.44E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,4.1)\) to the point \((4.1,0)\).
\begin{choices} %%%%%%% begin choices
\choice 1.28E+01 amps
\choice 1.40E+01 amps
\choice 1.54E+01 amps
\choice 1.69E+01 amps
\CorrectChoice 1.85E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 91A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,7.3)\) to the point \((7.3,0)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 2.28E+01 amps
\choice 2.49E+01 amps
\choice 2.74E+01 amps
\choice 3.00E+01 amps
\choice 3.29E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,8.4)\) to the point \((8.4,0)\).
\begin{choices} %%%%%%% begin choices
\choice 1.63E+01 amps
\choice 1.78E+01 amps
\choice 1.95E+01 amps
\choice 2.14E+01 amps
\CorrectChoice 2.35E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 63A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,4.6)\) to the point \((4.6,0)\).
\begin{choices} %%%%%%% begin choices
\choice 1.31E+01 amps
\choice 1.44E+01 amps
\CorrectChoice 1.58E+01 amps
\choice 1.73E+01 amps
\choice 1.89E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 43A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,7.1)\) to the point \((7.1,0)\).
\begin{choices} %%%%%%% begin choices
\choice 8.15E+00 amps
\choice 8.94E+00 amps
\choice 9.80E+00 amps
\CorrectChoice 1.08E+01 amps
\choice 1.18E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 99A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,6.2)\) to the point \((6.2,0)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 2.48E+01 amps
\choice 2.71E+01 amps
\choice 2.98E+01 amps
\choice 3.26E+01 amps
\choice 3.58E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 85A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,9.8)\) to the point \((9.8,0)\).
\begin{choices} %%%%%%% begin choices
\choice 1.77E+01 amps
\choice 1.94E+01 amps
\CorrectChoice 2.13E+01 amps
\choice 2.33E+01 amps
\choice 2.55E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 40A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,6.6)\) to the point \((6.6,0)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 1.00E+01 amps
\choice 1.10E+01 amps
\choice 1.20E+01 amps
\choice 1.32E+01 amps
\choice 1.45E+01 amps
%\pagebreak
\end{choices}%??????????????
\end{questions}%%%%%%%% end questions
\subsection{}%%%% subsection 2
\begin{questions} %%%%%%% begin questions
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 96A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-6.6, 6.6)\) to the point \((6.6, 6.6)\).
\begin{choices} %%%%%%% begin choices
\choice 1.82E+01 amps
\choice 2.00E+01 amps
\choice 2.19E+01 amps
\CorrectChoice 2.40E+01 amps
\choice 2.63E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 91A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-9.6, 9.6)\) to the point \((9.6, 9.6)\).
\begin{choices} %%%%%%% begin choices
\choice 1.73E+01 amps
\choice 1.89E+01 amps
\choice 2.07E+01 amps
\CorrectChoice 2.28E+01 amps
\choice 2.49E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-5.7, 5.7)\) to the point \((5.7, 5.7)\).
\begin{choices} %%%%%%% begin choices
\choice 1.54E+01 amps
\choice 1.69E+01 amps
\CorrectChoice 1.85E+01 amps
\choice 2.03E+01 amps
\choice 2.22E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 33A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-6.6, 6.6)\) to the point \((6.6, 6.6)\).
\begin{choices} %%%%%%% begin choices
\choice 5.71E+00 amps
\choice 6.26E+00 amps
\choice 6.86E+00 amps
\choice 7.52E+00 amps
\CorrectChoice 8.25E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-7.4, 7.4)\) to the point \((7.4, 7.4)\).
\begin{choices} %%%%%%% begin choices
\choice 1.69E+01 amps
\CorrectChoice 1.85E+01 amps
\choice 2.03E+01 amps
\choice 2.22E+01 amps
\choice 2.44E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 96A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-6.4, 6.4)\) to the point \((6.4, 6.4)\).
\begin{choices} %%%%%%% begin choices
\choice 2.00E+01 amps
\choice 2.19E+01 amps
\CorrectChoice 2.40E+01 amps
\choice 2.63E+01 amps
\choice 2.89E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 65A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-4.9, 4.9)\) to the point \((4.9, 4.9)\).
\begin{choices} %%%%%%% begin choices
\choice 1.23E+01 amps
\choice 1.35E+01 amps
\choice 1.48E+01 amps
\CorrectChoice 1.63E+01 amps
\choice 1.78E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 40A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-9.4, 9.4)\) to the point \((9.4, 9.4)\).
\begin{choices} %%%%%%% begin choices
\choice 7.59E+00 amps
\choice 8.32E+00 amps
\choice 9.12E+00 amps
\CorrectChoice 1.00E+01 amps
\choice 1.10E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 77A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-9.8, 9.8)\) to the point \((9.8, 9.8)\).
\begin{choices} %%%%%%% begin choices
\choice 1.60E+01 amps
\choice 1.76E+01 amps
\CorrectChoice 1.93E+01 amps
\choice 2.11E+01 amps
\choice 2.31E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 70A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-8.7, 8.7)\) to the point \((8.7, 8.7)\).
\begin{choices} %%%%%%% begin choices
\choice 1.21E+01 amps
\choice 1.33E+01 amps
\choice 1.46E+01 amps
\choice 1.60E+01 amps
\CorrectChoice 1.75E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 87A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-6.1, 6.1)\) to the point \((6.1, 6.1)\).
\begin{choices} %%%%%%% begin choices
\choice 1.50E+01 amps
\choice 1.65E+01 amps
\choice 1.81E+01 amps
\choice 1.98E+01 amps
\CorrectChoice 2.18E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-5.8, 5.8)\) to the point \((5.8, 5.8)\).
\begin{choices} %%%%%%% begin choices
\choice 1.78E+01 amps
\choice 1.95E+01 amps
\choice 2.14E+01 amps
\CorrectChoice 2.35E+01 amps
\choice 2.58E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 63A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-9.3, 9.3)\) to the point \((9.3, 9.3)\).
\begin{choices} %%%%%%% begin choices
\choice 1.19E+01 amps
\choice 1.31E+01 amps
\choice 1.44E+01 amps
\CorrectChoice 1.58E+01 amps
\choice 1.73E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 82A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-9.3, 9.3)\) to the point \((9.3, 9.3)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 2.05E+01 amps
\choice 2.25E+01 amps
\choice 2.46E+01 amps
\choice 2.70E+01 amps
\choice 2.96E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 51A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-7, 7)\) to the point \((7, 7)\).
\begin{choices} %%%%%%% begin choices
\choice 9.67E+00 amps
\choice 1.06E+01 amps
\choice 1.16E+01 amps
\CorrectChoice 1.28E+01 amps
\choice 1.40E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 88A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-8.1, 8.1)\) to the point \((8.1, 8.1)\).
\begin{choices} %%%%%%% begin choices
\choice 2.01E+01 amps
\CorrectChoice 2.20E+01 amps
\choice 2.41E+01 amps
\choice 2.64E+01 amps
\choice 2.90E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 51A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-6.8, 6.8)\) to the point \((6.8, 6.8)\).
\begin{choices} %%%%%%% begin choices
\choice 1.06E+01 amps
\choice 1.16E+01 amps
\CorrectChoice 1.28E+01 amps
\choice 1.40E+01 amps
\choice 1.53E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-6.4, 6.4)\) to the point \((6.4, 6.4)\).
\begin{choices} %%%%%%% begin choices
\choice 1.28E+01 amps
\choice 1.40E+01 amps
\choice 1.54E+01 amps
\choice 1.69E+01 amps
\CorrectChoice 1.85E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 71A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-8.6, 8.6)\) to the point \((8.6, 8.6)\).
\begin{choices} %%%%%%% begin choices
\choice 1.62E+01 amps
\CorrectChoice 1.78E+01 amps
\choice 1.95E+01 amps
\choice 2.13E+01 amps
\choice 2.34E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 68A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-6.4, 6.4)\) to the point \((6.4, 6.4)\).
\begin{choices} %%%%%%% begin choices
\choice 1.55E+01 amps
\CorrectChoice 1.70E+01 amps
\choice 1.86E+01 amps
\choice 2.04E+01 amps
\choice 2.24E+01 amps
%\pagebreak
\end{choices}%??????????????
\end{questions}%%%%%%%% end questions
\subsection{}%%%% subsection 3
\begin{questions} %%%%%%% begin questions
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 33A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,9.5)\) to the point \((9.5,9.5)\).
\begin{choices} %%%%%%% begin choices
\choice 3.43E+00 amps
\choice 3.76E+00 amps
\CorrectChoice 4.13E+00 amps
\choice 4.52E+00 amps
\choice 4.96E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 37A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,9)\) to the point \((9,9)\).
\begin{choices} %%%%%%% begin choices
\choice 4.22E+00 amps
\CorrectChoice 4.63E+00 amps
\choice 5.07E+00 amps
\choice 5.56E+00 amps
\choice 6.10E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 88A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,6.6)\) to the point \((6.6,6.6)\).
\begin{choices} %%%%%%% begin choices
\choice 9.15E+00 amps
\choice 1.00E+01 amps
\CorrectChoice 1.10E+01 amps
\choice 1.21E+01 amps
\choice 1.32E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 33A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,9.8)\) to the point \((9.8,9.8)\).
\begin{choices} %%%%%%% begin choices
\choice 3.76E+00 amps
\CorrectChoice 4.13E+00 amps
\choice 4.52E+00 amps
\choice 4.96E+00 amps
\choice 5.44E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 92A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,5.3)\) to the point \((5.3,5.3)\).
\begin{choices} %%%%%%% begin choices
\choice 8.72E+00 amps
\choice 9.57E+00 amps
\choice 1.05E+01 amps
\CorrectChoice 1.15E+01 amps
\choice 1.26E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 86A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,5)\) to the point \((5,5)\).
\begin{choices} %%%%%%% begin choices
\choice 7.44E+00 amps
\choice 8.15E+00 amps
\choice 8.94E+00 amps
\choice 9.80E+00 amps
\CorrectChoice 1.08E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 46A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,7.9)\) to the point \((7.9,7.9)\).
\begin{choices} %%%%%%% begin choices
\choice 5.24E+00 amps
\CorrectChoice 5.75E+00 amps
\choice 6.30E+00 amps
\choice 6.91E+00 amps
\choice 7.58E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 50A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,7)\) to the point \((7,7)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 6.25E+00 amps
\choice 6.85E+00 amps
\choice 7.51E+00 amps
\choice 8.24E+00 amps
\choice 9.03E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 39A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,8.5)\) to the point \((8.5,8.5)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 4.88E+00 amps
\choice 5.35E+00 amps
\choice 5.86E+00 amps
\choice 6.43E+00 amps
\choice 7.05E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 59A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,7.2)\) to the point \((7.2,7.2)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 7.38E+00 amps
\choice 8.09E+00 amps
\choice 8.87E+00 amps
\choice 9.72E+00 amps
\choice 1.07E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 42A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,4.2)\) to the point \((4.2,4.2)\).
\begin{choices} %%%%%%% begin choices
\choice 3.98E+00 amps
\choice 4.37E+00 amps
\choice 4.79E+00 amps
\CorrectChoice 5.25E+00 amps
\choice 5.76E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 36A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,8.6)\) to the point \((8.6,8.6)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 4.50E+00 amps
\choice 4.93E+00 amps
\choice 5.41E+00 amps
\choice 5.93E+00 amps
\choice 6.50E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 38A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,6.7)\) to the point \((6.7,6.7)\).
\begin{choices} %%%%%%% begin choices
\choice 4.33E+00 amps
\CorrectChoice 4.75E+00 amps
\choice 5.21E+00 amps
\choice 5.71E+00 amps
\choice 6.26E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 89A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,4.8)\) to the point \((4.8,4.8)\).
\begin{choices} %%%%%%% begin choices
\choice 9.25E+00 amps
\choice 1.01E+01 amps
\CorrectChoice 1.11E+01 amps
\choice 1.22E+01 amps
\choice 1.34E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 48A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,8.4)\) to the point \((8.4,8.4)\).
\begin{choices} %%%%%%% begin choices
\choice 5.47E+00 amps
\CorrectChoice 6.00E+00 amps
\choice 6.58E+00 amps
\choice 7.21E+00 amps
\choice 7.91E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 49A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,9.8)\) to the point \((9.8,9.8)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 6.13E+00 amps
\choice 6.72E+00 amps
\choice 7.36E+00 amps
\choice 8.07E+00 amps
\choice 8.85E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,5.3)\) to the point \((5.3,5.3)\).
\begin{choices} %%%%%%% begin choices
\choice 9.77E+00 amps
\choice 1.07E+01 amps
\CorrectChoice 1.18E+01 amps
\choice 1.29E+01 amps
\choice 1.41E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 31A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,7.3)\) to the point \((7.3,7.3)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 3.88E+00 amps
\choice 4.25E+00 amps
\choice 4.66E+00 amps
\choice 5.11E+00 amps
\choice 5.60E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 81A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,7.9)\) to the point \((7.9,7.9)\).
\begin{choices} %%%%%%% begin choices
\choice 7.68E+00 amps
\choice 8.42E+00 amps
\choice 9.23E+00 amps
\CorrectChoice 1.01E+01 amps
\choice 1.11E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 58A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,8.5)\) to the point \((8.5,8.5)\).
\begin{choices} %%%%%%% begin choices
\choice 6.03E+00 amps
\choice 6.61E+00 amps
\CorrectChoice 7.25E+00 amps
\choice 7.95E+00 amps
\choice 8.72E+00 amps
%\pagebreak
\end{choices}%??????????????
\end{questions}%%%%%%%% end questions
\subsection{}%%%% subsection 4
\begin{questions} %%%%%%% begin questions
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,6.2)\) to \((+\infty ,6.2)\).
\begin{choices} %%%%%%% begin choices
\choice 3.91E+01 amps
\choice 4.29E+01 amps
\CorrectChoice 4.70E+01 amps
\choice 5.15E+01 amps
\choice 5.65E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 93A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,4.1)\) to \((+\infty ,4.1)\).
\begin{choices} %%%%%%% begin choices
\choice 3.53E+01 amps
\choice 3.87E+01 amps
\choice 4.24E+01 amps
\CorrectChoice 4.65E+01 amps
\choice 5.10E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,9)\) to \((+\infty ,9)\).
\begin{choices} %%%%%%% begin choices
\choice 3.08E+01 amps
\choice 3.37E+01 amps
\CorrectChoice 3.70E+01 amps
\choice 4.06E+01 amps
\choice 4.45E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 67A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,9.4)\) to \((+\infty ,9.4)\).
\begin{choices} %%%%%%% begin choices
\choice 2.32E+01 amps
\choice 2.54E+01 amps
\choice 2.79E+01 amps
\choice 3.06E+01 amps
\CorrectChoice 3.35E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 31A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,9.2)\) to \((+\infty ,9.2)\).
\begin{choices} %%%%%%% begin choices
\choice 1.41E+01 amps
\CorrectChoice 1.55E+01 amps
\choice 1.70E+01 amps
\choice 1.86E+01 amps
\choice 2.04E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,8.2)\) to \((+\infty ,8.2)\).
\begin{choices} %%%%%%% begin choices
\choice 3.37E+01 amps
\CorrectChoice 3.70E+01 amps
\choice 4.06E+01 amps
\choice 4.45E+01 amps
\choice 4.88E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 69A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,5.8)\) to \((+\infty ,5.8)\).
\begin{choices} %%%%%%% begin choices
\choice 2.87E+01 amps
\choice 3.15E+01 amps
\CorrectChoice 3.45E+01 amps
\choice 3.78E+01 amps
\choice 4.15E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 85A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,8)\) to \((+\infty ,8)\).
\begin{choices} %%%%%%% begin choices
\choice 2.94E+01 amps
\choice 3.22E+01 amps
\choice 3.53E+01 amps
\choice 3.88E+01 amps
\CorrectChoice 4.25E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 88A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,8.7)\) to \((+\infty ,8.7)\).
\begin{choices} %%%%%%% begin choices
\choice 4.01E+01 amps
\CorrectChoice 4.40E+01 amps
\choice 4.82E+01 amps
\choice 5.29E+01 amps
\choice 5.80E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,9.4)\) to \((+\infty ,9.4)\).
\begin{choices} %%%%%%% begin choices
\choice 3.25E+01 amps
\choice 3.57E+01 amps
\choice 3.91E+01 amps
\choice 4.29E+01 amps
\CorrectChoice 4.70E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 96A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,8.1)\) to \((+\infty ,8.1)\).
\begin{choices} %%%%%%% begin choices
\choice 3.32E+01 amps
\choice 3.64E+01 amps
\choice 3.99E+01 amps
\choice 4.38E+01 amps
\CorrectChoice 4.80E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 36A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,8.3)\) to \((+\infty ,8.3)\).
\begin{choices} %%%%%%% begin choices
\choice 1.50E+01 amps
\choice 1.64E+01 amps
\CorrectChoice 1.80E+01 amps
\choice 1.97E+01 amps
\choice 2.16E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 76A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,5.8)\) to \((+\infty ,5.8)\).
\begin{choices} %%%%%%% begin choices
\choice 3.16E+01 amps
\choice 3.47E+01 amps
\CorrectChoice 3.80E+01 amps
\choice 4.17E+01 amps
\choice 4.57E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 44A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,5)\) to \((+\infty ,5)\).
\begin{choices} %%%%%%% begin choices
\choice 1.67E+01 amps
\choice 1.83E+01 amps
\choice 2.01E+01 amps
\CorrectChoice 2.20E+01 amps
\choice 2.41E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 39A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,8.5)\) to \((+\infty ,8.5)\).
\begin{choices} %%%%%%% begin choices
\choice 1.62E+01 amps
\choice 1.78E+01 amps
\CorrectChoice 1.95E+01 amps
\choice 2.14E+01 amps
\choice 2.34E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 43A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,5.8)\) to \((+\infty ,5.8)\).
\begin{choices} %%%%%%% begin choices
\choice 1.63E+01 amps
\choice 1.79E+01 amps
\choice 1.96E+01 amps
\CorrectChoice 2.15E+01 amps
\choice 2.36E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 31A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,9.4)\) to \((+\infty ,9.4)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 1.55E+01 amps
\choice 1.70E+01 amps
\choice 1.86E+01 amps
\choice 2.04E+01 amps
\choice 2.24E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 66A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,5.5)\) to \((+\infty ,5.5)\).
\begin{choices} %%%%%%% begin choices
\choice 3.01E+01 amps
\CorrectChoice 3.30E+01 amps
\choice 3.62E+01 amps
\choice 3.97E+01 amps
\choice 4.35E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 76A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,9.6)\) to \((+\infty ,9.6)\).
\begin{choices} %%%%%%% begin choices
\choice 3.16E+01 amps
\choice 3.47E+01 amps
\CorrectChoice 3.80E+01 amps
\choice 4.17E+01 amps
\choice 4.57E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 67A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,6.9)\) to \((+\infty ,6.9)\).
\begin{choices} %%%%%%% begin choices
\choice 2.54E+01 amps
\choice 2.79E+01 amps
\choice 3.06E+01 amps
\CorrectChoice 3.35E+01 amps
\choice 3.67E+01 amps
\end{choices} %%% end choices
\end{questions}
\pagebreak
\section{Attribution}
\theendnotes
\end{document}