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fix: latex slide compilation

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This commit is contained in:
Matthias Jung
2026-04-26 18:21:51 +02:00
parent 7196f5a688
commit 643310328c
26 changed files with 1118 additions and 1120 deletions
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contents/drawings/345.tex
+1 -1
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@@ -11,5 +11,5 @@
\draw(C3) |- (C4);
\draw(C2) node[rground]{};
\draw(C4) to [short, -o] ++(0,0.5) coordinate(C5);
\draw(C5) node[anchor=south]{$U_\textrm{B}$};
\draw(C5) node[anchor=south]{$U_\text{B}$};
\end{circuitikz}
contents/drawings/471.svg
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contents/drawings/471.tex
+11 -11
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@@ -58,17 +58,17 @@
\fill[shading=myPlotShadeA] (8.38,0) rectangle (8.78,-2);
% Begriffe
\draw( 1.00,-0.75) node[fill=white](){\small Höhenstrahlung};
\draw( 2.50,-1.25) node[fill=white](){\small Gammastrahlung};
\draw( 5.00,-0.75) node[fill=white](){\small Röntgenstrahlung};
\draw( 7.50,-1.50) node[fill=white](){\small Ultraviolett};
\draw( 8.60,-1.00) node[fill=white](){\small Licht};
\draw( 9.50,-0.50) node[fill=white](){\small Infrarot};
\draw(11.00,-1.00) node[fill=white](){\small Terahertzstrahlung};
\draw(12.50,-0.50) node[fill=white](){\small Radar};
\draw(13.25,-1.50) node[fill=white](){\small Mikrowellenstrahlung};
\draw(16.50,-1.00) node[fill=white](){\small Funkwellen};
\draw(20.50,-1.00) node[fill=white](){\small Wechselströme};
\draw( 1.00,-0.75) node[fill=white](){Höhenstrahlung};
\draw( 2.50,-1.25) node[fill=white](){Gammastrahlung};
\draw( 5.00,-0.75) node[fill=white](){Röntgenstrahlung};
\draw( 7.50,-1.50) node[fill=white](){Ultraviolett};
\draw( 8.60,-1.00) node[fill=white](){Licht};
\draw( 9.50,-0.50) node[fill=white](){Infrarot};
\draw(11.00,-1.00) node[fill=white](){Terahertzstrahlung};
\draw(12.50,-0.50) node[fill=white](){Radar};
\draw(13.25,-1.50) node[fill=white](){Mikrowellenstrahlung};
\draw(16.50,-1.00) node[fill=white](){Funkwellen};
\draw(20.50,-1.00) node[fill=white](){Wechselströme};
\draw[>=triangle 60, ->](-0.5,3) -- ++(22.0,0) coordinate(c6);
contents/drawings/674.svg
+106 -93
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@@ -1,111 +1,124 @@
<?xml version="1.0" encoding="UTF-8"?>
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<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="265.347pt" height="63.484pt" viewBox="0 0 265.347 63.484">
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contents/drawings/829.tex
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xmajorgrids=true,
ymajorgrids=false,
clip=false,
width=\linewidth,
%width=\linewidth,
width=\linewidth*\getDarcImageFactor,
height=5cm,
]
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contents/photos/168.txt
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Kurzzusammenfassung: Mehrere Batterietypen (Knopfzelle LR41, AAA, AA und 9‑V‑Block) sind nebeneinander zum Größenvergleich auf weißem Hintergrund angeordnet.
Detaillierte Beschreibung: Unten links liegt eine kleine silberne Knopfzelle mit der Aufschrift „LR41 Camelion 0% Hg“. Daneben stehen drei Batterien aufrecht: links eine schmale blau‑grüne AAA‑Zelle mit silbernem Kopf und „AAA“-Aufdruck, in der Mitte eine schwarze AA‑Zelle mit den Aufdrucken „MIGNON“, „AA R6 1.5V“ sowie „0% Hg 0% Cd“ und einem Pluszeichen am oberen Rand, rechts eine blaue rechteckige 9‑V‑Batterie mit der Beschriftung „AEROCELL MAXIMUM ENERGY E‑BLOCK 6LR61 9V“, großem Plus‑ und Minuszeichen auf der Front und den zwei Metall‑Schnappkontakten oben. Die 9‑V‑Batterie ist am höchsten und breitesten, die AA‑Zelle ist mittelhoch, die AAA‑Zelle ist dünner und etwas kürzer, und die Knopfzelle ist flach und deutlich kleiner als die anderen.
contents/sections/frequenz.md
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@@ -12,7 +12,7 @@ $$\qty{1}{\hertz} = \frac{1}{\unit{\second}}$$
---
Im Funk benutzen wir auch elektrische Schwingungen, allerdings mit sehr viel höheren Frequenzen als das Stromnetz, z. B. $\qty{144000000}{\hertz}$. Bei so vielen Ziffern wird es schnell unübersichtlich. Daher verwenden wir den Ausdruck Megahertz ($\unit{\mega\hertz}$) für eine Million Hertz und sagen "144 Megahertz". Wir haben das *Einheitenvorzeichen* "$\unit{\mega}$" verwendet und es vor die eigentliche Einheit "$\unit{\hertz}$" gesetzt. Damit drücken wir aus, dass der angegebene Wert mit einer Million multipliziert wird. Weitere Beispiele für Frequenzen mit Einheitenvorzeichen sind in der Tabelle [ref:n_frequenz_einheitenvorzeichen] zusammengestellt.
Im Funk benutzen wir auch elektrische Schwingungen, allerdings mit sehr viel höheren Frequenzen als das Stromnetz, z. B. $\qty{144000000}{\hertz}$. Bei so vielen Ziffern wird es schnell unübersichtlich. Daher verwenden wir den Ausdruck Megahertz ($\unit{\mega\hertz}$) für eine Million Hertz und sagen "144 Megahertz". Wir haben das *Einheitenvorzeichen* "$\unit{\mega\,}$" verwendet und es vor die eigentliche Einheit "$\unit{\hertz}$" gesetzt. Damit drücken wir aus, dass der angegebene Wert mit einer Million multipliziert wird. Weitere Beispiele für Frequenzen mit Einheitenvorzeichen sind in der Tabelle [ref:n_frequenz_einheitenvorzeichen] zusammengestellt.
<webmargin>
| X: Bezeichnung | r: Abkürzung | r: Wert |
contents/slides/N_Ende.md
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* Prüfungsvorbereitung & Anmeldung: Lern-App 50ohm des DARC nutzen und zeitnah zur Amateurfunkprüfung bei der Bundesnetzagentur anmelden – danach Rufzeichen beantragen.
* DARC-Mitgliedschaft: Der größte deutsche Amateurfunkverband setzt sich für Frequenzen, Ausbildung und Nachwuchs ein – eine Mitgliedschaft trägt diese Arbeit aktiv mit.
* Ortsverbände (OV): Über die PLZ-Suche den nächsten der 24 Distrikte finden – lokale Mitglieder erleichtern den Einstieg ins Hobby.
* Online-Community: Austausch über DARC-Chat, DARC-Treff und die eigene Mastodon-Instanz mit anderen Funkamateuren weltweit.
* Aktivitäten nach der Prüfung: Conteste, Selbstbau, Notfunk, Portabelbetrieb u. v. m. – die jährliche HAM-Challenge bietet einen guten Überblick über alle Bereiche.
* Veranstaltungen & Weiterbildung: HAM RADIO Friedrichshafen, Funk.Tag Kassel, AFUBarcamp und der Dienstags-Treff als Formate zum Lernen und Vernetzen.
contents/slides/akku.md
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@@ -139,13 +139,13 @@ $Q_{\mathrm{ges}} = Q \cdot 1 = \qty{10}{\ampere\hour}$
[question:AB211]
---
#### Lösungsweg
* gegeben: $Q_{max} = \qty{60}{\ampere\hour}$
* gegeben: $Q_{10\\%} = 0,1 \cdot Q_{max} = \qty{6}{\ampere\hour}$
* gegeben: $Q_\text{max} = \qty{60}{\ampere\hour}$
* gegeben: $Q_\text{10\%} = 0,1 \cdot Q_{\text{max}} = \qty{6}{\ampere\hour}$
* gegeben: $I = \qty{0,8}{\ampere}$
* gesucht: $t$
<fragment>
$Q = I \cdot t \Rightarrow t = \frac{Q}{I} = \frac{Q_{max} - Q_{10\%}}{I} = \frac{\qty{54}{\ampere\hour}}{\qty{0,8}{\ampere}} = \qty{67,5}{\hour}$
$Q = I \cdot t \Rightarrow t = \frac{Q}{I} = \frac{Q_{\text{max}} - Q_{10\%}}{I} = \frac{\qty{54}{\ampere\hour}}{\qty{0,8}{\ampere}} = \qty{67,5}{\hour}$
</fragment>
---
contents/slides/amateurfunkbaender.md
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@@ -2,11 +2,11 @@
* Lässt sich aus Anlage 1 AfuV ablesen
* Die Anlage 1 liegt in der Prüfung als Hilfsmittel bereit
---
--- style="font-size: 0.5em;"
[picture:829:amateuerfunkbaender_2:Frequenzbereiche im Amateurfunk unter $\qty{300}{\mega\hertz}$]
---
--- style="font-size: 0.5em;"
[picture:830:amateuerfunkbaender_1:Frequenzbereiche im Amateurfunk über $\qty{300}{\mega\hertz}$]
contents/slides/dezibel_2.md
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@@ -57,9 +57,6 @@ Details zur Berechnung des Faktor 20 sind im Online-Kurs. Kurzfassung: Im Spannu
</note>
---
[question:AA111]
---
## Berechnungen
---
[question:AA108]
---
contents/slides/digital_voice.md
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@@ -15,8 +15,8 @@ Time Division Multiple Access -- Zeitmultiplexverfahren
[picture:474:n_digital_voice_tdma:TDMA mit drei Verbindungen auf einer Frequenz]
</right>
---
## Einstellungen
Es sind für digitale Sprache oft mehr Einstellungen zu berücksichtigen als zum Beispiel bei einer FM-Verbindung. Zum Beispiel:
@@ -25,17 +25,21 @@ Es sind für digitale Sprache oft mehr Einstellungen zu berücksichtigen als zum
* Raum oder Reflektor zum Zusammenschalten von Relaisfunkstellen
* TDMA-Zeitschlitz
* Color-Code
---
[question:NE404]
---
[question:NE307]
---
[question:NE403]
---
[question:NE402]
contents/slides/endgespeiste_antennen.md
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@@ -1,8 +1,11 @@
<left>
[picture:615:n_antennenformen_schaltbild_endfed:Schaltbild einer endgespeisten Antenne]
</left>
<right>
* Statt in der Mitte das Antennenkabel an einem Ende des Dipols anschließen
* Häufige Bauform: Endgespeister Halbwellendipol
* Ist der Draht einer endgespeisten Antenne länger als die Wellenlänge: Langdraht-Antenne
</right>
---
[question:NG107]
contents/slides/frequenz.md
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@@ -30,7 +30,7 @@ $$\qty{1}{\hertz} = \frac{1}{\unit{s}}$$
* Im Funk wird mit viel höheren Schwingungen gearbeitet
* z.B. $\qty{144000000}{\hertz}$
* Abkürzung: $\qty{144}{\mega\hertz}$ (Megahertz)
* Einheitenvorzeichen "$\unit{\mega}$" vor "$\unit{\hertz}$" gesetzt
* Einheitenvorzeichen "$\unit{\mega\,}$" vor "$\unit{\hertz}$" gesetzt
* Der Wert wird mit einer Million multipliziert
---
contents/slides/frequenzspektrum.md
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--- style="font-size: 0.5em;"
[picture:471:n_frequenzspektrum:Spektrum der elektromagnetischen Wellen]
<note>
contents/slides/funkfernschreiben.md
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@@ -40,9 +40,8 @@ BK QSL = VY 73 DE DL2AB SK
Das QSO wird nach Erklärungen Abkürzungen Schritt für Schritt erläutert
</note>
--- style="font-size: 0.7em;"
---
<left>
| l: Abkz. | l: Bedeutung |
| BK | Unterbrechung der Sendung; Formlose Übergabe |
| CQ | Allgemeiner Anruf (vom Englischen "Seek You") |
@@ -53,8 +52,9 @@ Das QSO wird nach Erklärungen Abkürzungen Schritt für Schritt erläutert
| R | Received (Empfangsbestätigung) |
| RPRT | Rapport (vom Englischen "Report") |
[table:n_funkfernschreiben_abkuerzungen_1:Betriebliche Abkürzungen in der Telegrafie]
</left>
<right>
---
| l: Abkz. | l: Bedeutung |
| RST | RST-Rapport |
| SK | Ende der Verbindung (vom Englischen "Silent Key") |
@@ -64,9 +64,9 @@ Das QSO wird nach Erklärungen Abkürzungen Schritt für Schritt erläutert
| 73 | viele Grüße |
| = | Trennzeichen |
[table:n_funkfernschreiben_abkuerzungen_2:Betriebliche Abkürzungen in der Telegrafie]
</right>
---
Teil 1 unseres Beispiel-Gesprächs:
<qso>
contents/slides/leiterwiderstand.md
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@@ -20,13 +20,13 @@ $R = \frac{\rho\cdot l}{A_{\textrm{Dr}}}$
</left>
<right>
<fragment>
Kupfer: 0,018
Aluminium: 0,028
Gold: 0,022
Silber: 0,016
Zink: 0,11
Eisen: 0,1
Messing: 0,07
* Kupfer: 0,018
* Aluminium: 0,028
* Gold: 0,022
* Silber: 0,016
* Zink: 0,11
* Eisen: 0,1
* Messing: 0,07
</fragment>
</right>
<note>
@@ -43,7 +43,7 @@ Damit lässt sich der ohmsche Widerstand eines Drahtes bei bekanntem Material, L
* gesucht: $R$
<fragment>
$$A_{\textrm{Dr}} = \frac{d^2\cdot \pi}{4} = \frac{(\qty{0,2}{\milli\meter})^2 \cdot \pi}{4} = \qty{\frac{\pi}{100}}{\milli\meter\squared} = \qty{0,0314}{\milli\meter\squared}$$
$$A_{\textrm{Dr}} = \frac{d^2\cdot \pi}{4} = \frac{(\qty{0,2}{\milli\meter})^2 \cdot \pi}{4} = \frac{\pi}{100}\unit{\milli\meter\squared} = \qty{0,0314}{\milli\meter\squared}$$
</fragment>
<fragment>
$$R = \frac{\rho\cdot l}{A_{\textrm{Dr}}} = \frac{\qty{0,018}{\ohm\cdot\milli\meter\squared\per\meter} \cdot \qty{1,8}{\meter}}{\qty{0,0314}{\milli\meter\squared}} \approx \qty{1,02}{\ohm}$$
contents/slides/muf_luf_2.md
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@@ -57,12 +57,12 @@ Kritische Frequenz wird auch als $f_k$ oder $f_\mathrm{krit}$ angegeben
<left>
<fragment>
$\begin{split} \mathrm{MUF} & \approx \frac{f_c}{\sin(\alpha)}\\&\approx \frac{3MHz}{0,71}\\&\approx 4,2MHz\end{split}$
$\begin{split} \text{MUF} & \approx \frac{f_c}{\sin(\alpha)}\\&\approx \frac{\qty{3}{\mega\hertz}}{\num{0,71}}\\&\approx \qty{4,2}{\mega\hertz}\end{split}$
</fragment>
</left>
<right>
<fragment>
$\begin{split} f_{\mathrm{opt}} &= \mathrm{MUF}\cdot 0,85\\ &= 4,2MHz \cdot 0,85\\ &= 3,6MHz \end{split}$
$\begin{split} f_{\mathrm{opt}} &= \mathrm{MUF}\cdot 0,85\\ &= \qty{4,2}{\mega\hertz} \cdot 0,85\\ &= \qty{3,6}{\mega\hertz} \end{split}$
</fragment>
</right>
contents/slides/ohmsches_gesetz.md
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@@ -25,7 +25,7 @@ Kurze Wiederholung:
* Bei $\qty{5}{\volt}$ verringert sich der Strom auf $\qty{0,5}{\milli\ampere}$
<fragment>
$\dfrac{U}{I} = \dfrac{\qty{10}{\volt}}{\qty{0,001}{\ampere}} = \dfrac{\qty{20}{\volt}}{\qty{0,002}{\ampere}} = \dfrac{\qty{5}{\volt}}{\qty{0,0005}{\ampere}} = \qty{10000}{\frac{\volt}{\ampere}}$
$\dfrac{U}{I} = \dfrac{\qty{10}{\volt}}{\qty{0,001}{\ampere}} = \dfrac{\qty{20}{\volt}}{\qty{0,002}{\ampere}} = \dfrac{\qty{5}{\volt}}{\qty{0,0005}{\ampere}} = \qty{10000}{\volt\per\ampere}$
</fragment>
<fragment>
Proportionalität: $I$ ist proportional zu $U$ mit *Proportionalitätsfaktor* 10000
@@ -39,7 +39,7 @@ Der *Proportionalitätsfaktor* ist das zahlenmäßige Verhältnis zweier Größe
## Widerstand
* Der Proportionalitätsfaktor von 10000 aus dem Beispiel ist der Widerstand $R$
* Einheit: $\qty{1}{\ohm} = \qty{1}{\frac{\volt}{\ampere}}$
* Einheit: $\qty{1}{\ohm} = \qty{1}{\volt\per\ampere}$
* Der Widerstand aus dem Beispiel beträgt $\qty{10000}{\ohm}$ oder $\qty{10}{\kilo\ohm}$
---
contents/slides/rauch_und_morsezeichen.md
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@@ -12,10 +12,9 @@ Beispiel: 3 Rauchwolken mit jeweils 30 Sekunden Abstand bedeuten "CQ"
* Funkgerät erzeugt mit Oszillator eine Schwingung
* Drücken der Morsetaste bringt diese Schwingung auf die Antenne
* Empfänger macht diese Aussendung hörbar
* Unterscheidung zwischen kurzem oder langem Drücken und Pausen möglich
</left>
<right>
* Unterscheidung zwischen kurzem oder langem Drücken und Pausen möglich
[photo:109:n_cwtast:Morsetasten]
</right>
<note>
contents/slides/spiegelfrequenzen.md
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@@ -33,7 +33,8 @@ Spiegelfrequenz bei ${2 \cdot f_\text{ZF}}$ unterhalb der Empfangsfrequenz
---
$f_\text{S} = 2 \cdot f_\text{OSZ}\,-\,f_\text{E} =\\ \begin{cases}f_\text{OSZ}\,+\,f_\text{ZF} = f_\text{E}\,+\,2 \cdot f_\text{ZF} &\text{wenn } f_\text{E} \lt f_\text{OSZ} \\ f_\text{OSZ}\,-\,f_\text{ZF} = f_\text{E}\,-\,2 \cdot f_\text{ZF} &\text{wenn } f_\text{E} \gt f_\text{OSZ} \end{cases}$
$f_\text{S} = 2 \cdot f_\text{OSZ}\,-\,f_\text{E} =$
$ \begin{cases}f_\text{OSZ}\,+\,f_\text{ZF} = f_\text{E}\,+\,2 \cdot f_\text{ZF} &\text{wenn } f_\text{E} \lt f_\text{OSZ} \\ f_\text{OSZ}\,-\,f_\text{ZF} = f_\text{E}\,-\,2 \cdot f_\text{ZF} &\text{wenn } f_\text{E} \gt f_\text{OSZ} \end{cases}$
---
## Spiegelfrequenzunterdrückung
contents/slides/sstv.md
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@@ -1,9 +1,13 @@
### Slow-Scan-Television (SSTV)
<left>
* Beim Slow-Scan-Television (SSTV) werden stehende Bilder mit geringer Auflösung übertragen.
* Rufzeichen und Rapporte werden bei SSTV einfach als Text in die Bilder reingeschrieben.
</left>
<right>
[photo:84:n_sstv:Ein per SSTV übertragenenes Bild]
</right>
---
[question:BE210]
contents/slides/transistor_2.md
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@@ -37,9 +37,6 @@ Höherer Faktor benötigt kleineren Basistrom zur Steuerung eines größeren Kol
---
[question:AC505]
---
### Rechnungen
---
[question:AC515]
---
@@ -237,9 +234,6 @@ MOSFET: metal oxide semiconductor FET
[question:AC510]
---
[question:AC511]
---
### Rechnungen
---
[question:AC521]
---
contents/slides/wechselstrom_leistung.md
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@@ -23,7 +23,7 @@ $P = U_{\text{eff}} \cdot I_{\text{eff}}$
* gesucht: $P$
<fragment>
$\begin{split} P &= I^2 \cdot R = \left(\frac{I_{\textrm{max}}}{\sqrt{2}}\right)^2 \cdot R\\ &= \frac{(\qty{0,5}{\ampere})^2}{2} \cdot \qty{20}{\ohm} \\ &= \qty{\frac{1}{8}}{\ampere\squared} \cdot \qty{20}{\ohm} = \qty{2,5}{\watt} \end{split}$
$\begin{split} P &= I^2 \cdot R = \left(\frac{I_{\textrm{max}}}{\sqrt{2}}\right)^2 \cdot R\\ &= \frac{(\qty{0,5}{\ampere})^2}{2} \cdot \qty{20}{\ohm} \\ &= \frac{1}{8}\unit{\ampere\squared} \cdot \qty{20}{\ohm} = \qty{2,5}{\watt} \end{split}$
</fragment>
---
latex/settings.tex
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@@ -20,6 +20,7 @@
\usepackage{etoolbox}
\usepackage{xcolor}
\usepackage{MnSymbol}
\usepackage{marvosym}
\usepackage{wasysym}
\usepackage{tikz-dimline}