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update 1st maxwell
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dariusptrs committed Aug 1, 2024
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git.id
*.DS_Store
*.pyc
Karteikarten/eum_karten.pdf
21 changes: 12 additions & 9 deletions Karteikarten/eum_karten.tex
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% Karteikarten mit Formeln aus der Vorlesung Elektrizität und Magnetismus
% bei Prof. Schrag im SS24
% an der TU München

%
% * ----------------------------------------------------------------------------
% * "THE BEER-WARE LICENSE" (Revision 42/023):
% * Ronny Bergmann <mail@darkmoonwolf.de> wrote this file. As long as you retain
% * this notice you can do whatever you want with this stuff. If we meet some day,
% * and you think this stuff is worth it, you can buy me a beer or a coffee in return.
% * ----------------------------------------------------------------------------
%

\documentclass[a7paper]{kartei}
\usepackage{amsmath}
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% Karte 11: Gaußsches Gesetz
\begin{karte}[Elektrostatik]{Gaußsches Gesetz}
\center 1. Maxwellgleichung
\\
\[
\int_{\partial V} \vec{D} \, \mathrm{d}\vec{a} = Q(V) = \sum \vec{r}_i \in V q_i
\int_{\partial V} \vec{D} \, \mathrm{d}\vec{a} = Q(V) = \int_{V} \rho \, \mathrm{d}V
\]

\[
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% Karte 25: Quellenfreiheit des B-Feldes
\begin{karte}[Magnetostatik]{Quellenfreiheit des B-Feldes}
\center 3. Maxwellgleichung
\\
\[
\int_{\partial V} \vec{B} \, \mathrm{d}\vec{a} = 0\]

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\]

\([B] = \text{T} = \frac{\text{V} \cdot \text{s}}{\text{m}^2} = \frac{\text{kg}}{\text{A} \cdot \text{s}^2}\)
\\
\center 3. Maxwellgleichung
\\
\end{karte}

% Karte 26: Ampèresches Durchflutungsgesetz
\begin{karte}[Magnetostatik]{Ampèresches Durchflutungsgesetz}
\center 4. Maxwellgleichung
\\
\[
\int_{\partial A} \vec{H} \, \mathrm{d}\vec{s} = \int_A \left(\vec{j} + \frac{\partial \vec{D}}{\partial t}\right) \, \mathrm{d}\vec{a}
\]

\[
\text{rot} \, \vec{H} = \vec{j} + \frac{\partial \vec{D}}{\partial t}
\]
\\
\center 4. Maxwellgleichung

\end{karte}

% Karte 27: Magnetische Feldkonstante
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% Karte 30: Induktionsgesetz
\begin{karte}[Magnetostatik]{Induktionsgesetz}
\center 2. Maxwellgleichung
\\
\[
\text{rot} \, \vec{E} = -\frac{\partial \vec{B}}{\partial t}
\]
\\
\center 2. Maxwellgleichung
\end{karte}

% Karte 31: Induzierte Spannung
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