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add to exam trial task01
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wallscheid committed Jul 28, 2024
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4 changes: 4 additions & 0 deletions .gitignore
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# option is specified. Footnotes are the stored in a file with suffix Notes.bib.
# Uncomment the next line to have this generated file ignored.
#*Notes.bib

#vscode
.vscode/

1 change: 0 additions & 1 deletion .vscode/ltex.dictionary.en-US.txt

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2 changes: 1 addition & 1 deletion exam/summer2024/main.tex
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% !TeX root = main.tex

%% add [solution]
\documentclass[solution]{C:/Git/EMD_Course/exam/examClass}
\documentclass[]{C:/Git/EMD_Course/exam/examClass}


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27 changes: 25 additions & 2 deletions exam/summer2024/tex/task01.tex
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\end{align*}
\end{solutionblock}

\subtask{Sketech}{2}
\subtaskGerman{Skizziere}
\subtask{Assume that the volt meter is exchanged for a resistor with $R=\SI{1}{\ohm}$. How big are the resulting current $I$ and electrical power $P$? Is the disc operating as a motor or generator?}{2}
\subtaskGerman{Nehmen Sie nun an, dass das Spannungsmessgerät durch einen Widerstand mit $R=\SI{1}{\ohm}$ ersetzt wird. Wie groß sind der resultierende Strom $I$ und die elektrische Leistung $P$? Funktioniert die Scheibe als Motor oder Generator?}

\begin{solutionblock}
The current is given by Ohm's law $$I = -U/R = \SI{-27}{\volt}/\SI{1}{\ohm} = \SI{-27}{\ampere}.$$ The current is to be counted negative as the voltage and current in the above figure are oriented in opposite directions (load convention). The electrical power is $$P = I U = \SI{27}{\ampere} \cdot \SI{-27}{\volt} = \SI{-729}{\watt}.$$ The disc is operating as a generator, since the mechanical energy (which is introduced to rotate the disc) is converted into electrical energy. Also, there is no electrical energy source to power the disc, so it cannot operate as a motor.
\end{solutionblock}



\subtask{Discuss the three following cases regarding the presence of an induced voltage $U$: \vspace{-0.5cm}\begin{itemize} \item The disc is at standstill, but the permanent magnet is rotating.
\item The disc and the permanent magnet are rotating, but with different speeds.
\item The disc and the permanent magnets are at standstill, but the electrical circuit is rotating.
\end{itemize}}{2}
\subtaskGerman{Diskutieren Sie die drei folgenden Fälle bezüglich der Präsenz einer induzierten Spannung $U$: \begin{itemize}
\item Die Scheibe steht still, aber der Permanentmagnet rotiert.
\item Die Scheibe und der Permanentmagnet rotieren, aber mit unterschiedlichen Geschwindigkeiten.
\item Die Scheibe und die Permanentmagneten stehen still, aber der elektrische Stromkreis rotiert.
\end{itemize}}

\begin{solutionblock}
\begin{itemize}
\item In the first case, there is no induced voltage as the magnetic field of the magnet is symmetric around the rotation axis, that is, the flux through the disc remains constant despite the magnet's rotation.
\item In the second case it is only important to note that the disc is rotating (like in the original setup), which is the important factor for the induced voltage. The relative speed between the disc and the magnetic is not relevant due to the discussed rotational symmetry of the magnetic field.
\item In the third case, the electrical circuit rotates through the constant magnetic field of the magnets which is analogously to the original setup of a rotating disc. Consequently, in this final case also a voltage is induced.
\end{itemize}
\end{solutionblock}

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