386 lines
8.4 KiB
TeX
386 lines
8.4 KiB
TeX
\documentclass{article}
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\begin{document}
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Engineering Electromagnetics
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Laboratory Exercise No. 4: Moving Magnetic Fields
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Objective
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In this lab, you will use Maxwell\textquotesingle s Transient Solver to
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model Faraday\textquotesingle s Law. You will model a
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magnetic field moving through and around a coil to induce current within
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the coil.
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\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_
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A tutorial can be found at the following links:
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\begin{itemize}
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\item
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\url{https://www.youtube.com/watch?v=LW9TcpkZaZY}~ (Part 1)
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\item
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\url{https://www.youtube.com/watch?v=MruPdh_6hi0}~ (Part 2)
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\item
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\url{https://www.youtube.com/watch?v=ZGn-gQPVn3Y} (Part 3)
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\end{itemize}
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1 Current Induced by Magnetic Field
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You will demonstrate how the electric and magnetic fields react to a
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magnet moving through an inductor.
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\textbf{Structure}
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\textbf{Coil}
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\begin{enumerate}
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\def\labelenumi{\arabic{enumi}.}
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\item
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\begin{quote}
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Create a 5-turn coil with an outer diameter 2 mm and wire thickness of
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0.4 mm (diameter).
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\end{quote}
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\item
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\begin{quote}
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Extend the faces of the coil ends
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\end{quote}
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\begin{enumerate}
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\def\labelenumii{\alph{enumii}.}
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\item
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\begin{quote}
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Select the face
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\end{quote}
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\item
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\begin{quote}
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Right Click =\textgreater{} Select Surface =\textgreater Sweep Along
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Normal (for 5 mm)
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\end{quote}
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\end{enumerate}
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\item
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\begin{quote}
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Select the coil and face extrusions and unite them
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\end{quote}
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\begin{enumerate}
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\def\labelenumii{\alph{enumii}.}
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\item
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\begin{quote}
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Select all and Right-Click
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\end{quote}
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\item
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\begin{quote}
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Edit =\textgreater{} Boolean =\textgreater{} Unite
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\end{quote}
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\end{enumerate}
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\item
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\begin{quote}
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Change the material to copper
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\end{quote}
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\end{enumerate}
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\includegraphics[width=4.62425in,height=3.6118in]{media/image1.png}
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\begin{quote}
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\textbf{Magnet}
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\end{quote}
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\begin{enumerate}
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\def\labelenumi{\arabic{enumi}.}
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\item
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Create a Regular Polyhedron
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\begin{enumerate}
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\def\labelenumii{\alph{enumii}.}
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\item
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A shape of 8 segments
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\item
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A height of 1 mm and a diameter of 0.5 mm
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\end{enumerate}
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\item
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Change the material to NdFe36
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\end{enumerate}
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\includegraphics[width=1.4694in,height=1.7165in]{media/image2.png}
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\begin{quote}
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\textbf{Band}
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\end{quote}
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\begin{enumerate}
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\def\labelenumi{\arabic{enumi}.}
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\item
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Create a Regular Polyhedron
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\begin{enumerate}
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\def\labelenumii{\alph{enumii}.}
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\item
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A shape of 12 segments
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\item
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A height of 25 mm and a diameter of 1 mm
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\end{enumerate}
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\item
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Change the material to vacuum
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\item
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(Optional) Change the transparency to 75\%
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\begin{enumerate}
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\def\labelenumii{\alph{enumii}.}
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\item
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Select and Right-Click
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\item
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Edit =\textgreater{} Properties =\textgreater{} Transparent
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=\textgreater{} 0.75
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\end{enumerate}
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\end{enumerate}
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\includegraphics[width=3.67752in,height=4.24509in]{media/image3.png}
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\begin{quote}
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\textbf{Region}
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\end{quote}
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\begin{enumerate}
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\def\labelenumi{\arabic{enumi}.}
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\item
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Create a Region
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\item
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The Region can have 0 padding in all directions.
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\end{enumerate}
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\includegraphics[width=3.54241in,height=3.94432in]{media/image4.png}
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\textbf{Simulation}
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\begin{enumerate}
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\def\labelenumi{\arabic{enumi}.}
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\item
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Transient for the Solution Setup
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\item
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Add Motion Setup to the Band
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\begin{enumerate}
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\def\labelenumii{\alph{enumii}.}
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\item
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Select Band
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\item
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Go to Maxwell 3D =\textgreater{} Model =\textgreater{} Motion Setup
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=\textgreater{} Assign Band
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\item
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Double-check that the motion will be along the z-axis
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\end{enumerate}
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\item
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Set the initial position
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\begin{enumerate}
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\def\labelenumii{\alph{enumii}.}
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\item
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Go to the Data tab
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\item
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Set the initial position between the bottoms of the band and coil
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\item
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Add the negative and positive limits above bottom of the band and
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below the bottom of the coil
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\item
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Set the negative limit to the initial position
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\item
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Set the positive limit translational limit between the band and
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above the coil
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\end{enumerate}
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\item
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Set the velocity
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\begin{enumerate}
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\def\labelenumii{\alph{enumii}.}
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\item
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Mechanical tab and set the velocity in mm/s.
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\item
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Set the velocity to 10 mm/s
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\end{enumerate}
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\end{enumerate}
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\begin{quote}
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\textbf{Excitation}
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\end{quote}
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\begin{enumerate}
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\def\labelenumi{\arabic{enumi}.}
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\item
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Add a Coil Terminal Excitation
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\begin{enumerate}
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\def\labelenumii{\alph{enumii}.}
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\item
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Select the face of the end of the coil and Right-Click
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\item
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Assign Excitation =\textgreater{} Coil Terminal
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\item
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Number of conductors is one
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\item
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Do this for each face, they should both be going in the same
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direction
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\end{enumerate}
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\item
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Add a winding
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\begin{enumerate}
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\def\labelenumii{\alph{enumii}.}
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\item
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Add the two coil terminals to it
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\item
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Go to the Properties
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\begin{enumerate}
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\def\labelenumiii{\roman{enumiii}.}
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\item
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Set the type to external solid
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\item
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Set the initial current to 0 A
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\end{enumerate}
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\end{enumerate}
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\end{enumerate}
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\begin{quote}
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\textbf{External Circuit}
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\end{quote}
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\begin{enumerate}
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\def\labelenumi{\arabic{enumi}.}
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\item
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Assign the RL Circuit to the coil
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\begin{enumerate}
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\def\labelenumii{\alph{enumii}.}
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\item
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Select one of the faces of the coil and Right-Click
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\item
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Assign Excitation =\textgreater{} External Circuit =\textgreater{}
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Edit External Circuit =\textgreater Add Circuit
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\end{enumerate}
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\item
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Create the RL Circuit
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\begin{enumerate}
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\def\labelenumii{\alph{enumii}.}
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\item
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Go to Project and ``Insert Maxwell Circuit Design''
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\item
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Connect a 100 Ohm Resistor and an Inductor in series
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\begin{enumerate}
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\def\labelenumiii{\roman{enumiii}.}
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\item
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No power supply and ground one side
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\end{enumerate}
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\end{enumerate}
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\item
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Export the netlist, Maxwell Circuit =\textgreater{} Export Netlist
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\end{enumerate}
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\includegraphics[width=2.92497in,height=1.83722in]{media/image5.png}
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\textbf{Eddy Currents}
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\begin{enumerate}
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\def\labelenumi{\arabic{enumi}.}
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\item
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Add an Eddy Circuit Excitations to the helix(Maxwell 3D → Excitations
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→ Set Eddy Effects).
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\end{enumerate}
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\begin{quote}
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\textbf{Mesh Operations}
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\end{quote}
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\begin{enumerate}
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\def\labelenumi{\arabic{enumi}.}
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\item
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Select the coil and Right-Click
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\begin{enumerate}
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\def\labelenumii{\alph{enumii}.}
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\item
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Assign Mesh Operations =\textgreater{} Inside Selection
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=\textgreater{} Length Based
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\item
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Number of elements should be 10,000
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\end{enumerate}
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\end{enumerate}
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\begin{quote}
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\textbf{Solution Setup}
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\end{quote}
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\begin{enumerate}
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\def\labelenumi{\arabic{enumi}.}
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\item
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Add a solution setup.
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\item
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Assign the stop time to when your magnet will finish moving.
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\begin{enumerate}
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\def\labelenumii{\alph{enumii}.}
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\item
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Stop time at 10 ms with steps of 0.2 ms
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\item
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Do this in both the General and Save Fields tab
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\end{enumerate}
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\item
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Go the Save Field tab
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\begin{enumerate}
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\def\labelenumii{\alph{enumii}.}
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\item
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Change your step size to have at least 10 steps
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\item
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Click the replace list button
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\end{enumerate}
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\end{enumerate}
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\begin{quote}
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\textbf{Magnetic Field}
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\end{quote}
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\begin{enumerate}
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\def\labelenumi{\arabic{enumi}.}
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\item
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Add the Magnetic Field Vector or Magnitude
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\begin{enumerate}
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\def\labelenumii{\alph{enumii}.}
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\item
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Select the Region and Right-Click
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\item
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Fields =\textgreater{} B =\textgreater{} Mag\_B or B\_Vector
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\item
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Analyze all and you should be good to go!
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\end{enumerate}
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\end{enumerate}
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Calculator
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Use the Ansys calculator to get the current leaving the coil as a
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function of the magnet passing through the coil. You should be able to
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plot this as a function of distance or time since the magnet is moving
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at a constant speed.
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Variables
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Repeat the example twice with the magnet outside of the coil at
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different distances. Keep
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the magnet perpendicular to the coil.
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Laboratory Write-up
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Explain your results. Handing in excellent data without explanations is
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not enough. There should be an introduction to the lab, figures of
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results, Maxwell code (if necessary; preferably in an appendix), an
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explanation for each figure, and a summary of what you learned in the
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exercise.
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Use App Note format for this report. Templates can be found on Canvas.
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\end{document}
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