From 634613a2d466530f07774742967a955139883be3 Mon Sep 17 00:00:00 2001 From: Valentin Brandl Date: Mon, 15 Oct 2018 20:05:52 +0200 Subject: [PATCH] Add exercises for AET1 --- school/alg-etechnik/uebung/01/01.tex | 111 ++++++++++++++++++ .../uebung/01/AET-1_Uebung_01.pdf | Bin 0 -> 165499 bytes school/alg-etechnik/uebung/template.tex | 49 ++++++++ 3 files changed, 160 insertions(+) create mode 100644 school/alg-etechnik/uebung/01/01.tex create mode 100644 school/alg-etechnik/uebung/01/AET-1_Uebung_01.pdf create mode 100644 school/alg-etechnik/uebung/template.tex diff --git a/school/alg-etechnik/uebung/01/01.tex b/school/alg-etechnik/uebung/01/01.tex new file mode 100644 index 0000000..cfa1a6f --- /dev/null +++ b/school/alg-etechnik/uebung/01/01.tex @@ -0,0 +1,111 @@ +\documentclass[12pt,a4paper,german]{article} +\usepackage{url} +%\usepackage{graphics} +\usepackage{times} +\usepackage[T1]{fontenc} +\usepackage{ngerman} +\usepackage{float} +\usepackage{diagbox} +\usepackage[latin1]{inputenc} +\usepackage{geometry} +\usepackage{amsfonts} +\usepackage{amsmath} +\usepackage{csquotes} +\usepackage{graphicx} +\usepackage{epsfig} +\usepackage{paralist} +\geometry{left=2.0cm,textwidth=17cm,top=3.5cm,textheight=23cm} + +%%%%%%%%%% Fill out the the definitions %%%%%%%%% +\def \name {Valentin Brandl} % +\def \matrikel {108018274494} % +% \def \pname {Vorname2 Nachname2} % +% \def \pmatrikel {Matrikelnummer2} % +\def \gruppe {Gruppenkuerzel} % +\def \uebung {1} % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + % DO NOT MODIFY THIS HEADER +\newcommand{\hwsol}{ +\vspace*{-2cm} +\noindent \matrikel \quad \name \hfill Gruppe:\gruppe \\ +% \noindent \pmatrikel \quad \pname \\ +\begin{center}{\Large \bf L\"osung f\"ur \"Ubung \# \uebung}\end{center} +} + +\begin{document} +%Import header +\hwsol + + +\section*{Aufgabe (a)} + +\begin{itemize} + \item $\frac{\text{m}}{\text{s}}$ + \item $N = \frac{\text{kg}\cdot \text{m}}{\text{s}^2}$ + \item $J = \frac{\text{kg}\cdot \text{m}^2}{\text{s}^2}$ + \item $C = \text{As}$ +\end{itemize} + + +\section*{Aufgabe (b)} + +\begin{enumerate}[1.] + \item + \begin{itemize} + \item $32 mm = 0.032m$ + \item $765kV = 765000 V = 765000 \frac{W}{A} = 765000 \frac{kg \cdot m^2}{s^3 \cdot A}$ + \item $15 \mu m = 15 * 10^{-6} m$ + \item $0,7 ms = 0,0007s$ + \item $12 M\Omega = 12000000 \Omega = 12000000 \frac{kg \cdot m^2}{A^2 \cdot s^3}$ + \item $462 \mu g = 0.000000462 kg$ + \item $3580 kHz = 3580000 \frac{1}{s}$ + \item $65 nF = 0.000000065 \frac{A^2 \cdot s^4}{kg \cdot m^2}$ + \item $84 daN = 840 N$ + \item $43 GV = 43000000000 \frac{kg \cdot m^2}{s^3 \cdot A}$ + \item $50 \mu s = 0.00005 s$ + \end{itemize} + + \item + \begin{itemize} + \item $22853000 \Omega = 22.853000 M\Omega$ + \item $7180 N = 718 daN$ + \item $13950 g = 13.950 kg$ + \item $0.00028 mm = 0.28 \mu m$ + \item $415 \mu A = 0.000415 A$ + \item $0.00005 s = 50 \mu s$ + \item $0.000189 F = 189000 nF$ + \item $17800 kV = 0.0178 GV$ + \item $0.00025 A = 0.25 mA$ + \item $27000 Hz = 27 kHz$ + \item $0.75 s = 750 ms$ + \end{itemize} + + \item + \begin{itemize} + \item $3.6 \frac{km}{h} = 1 \frac{m}{s}$ + \item $100 \frac{N}{cm} = 1 \frac{kg}{s^2}$ + \item $0.58 \frac{g}{cm^3} = 0.00058 \frac{kg}{m^3}$ + \item $6001 mm = 6.001 m$ + \end{itemize} + +\end{enumerate} + +\section*{Aufgabe (c)} + +\[ +W (kJ) = \frac{5}{18} \cdot P (W) \cdot t(h) = \frac{10^{-10}}{3600} \cdot U (kV) \cdot I (\mu A) \cdot t(h) +\] + +\section*{Aufgabe (d)} + +\begin{itemize} + \item $\frac{kg \cdot m^2}{s^3} = \frac{Nm}{s} = W \Rightarrow P$ + \item $\frac{N}{m} = J \Rightarrow W$ + \item $\frac{kp}{cm^2} \approx 0.1 \frac{N}{m} = 0.1 J \Rightarrow W$ + \item $VA = W \Rightarrow P$ +\end{itemize} + + +\end{document} + diff --git a/school/alg-etechnik/uebung/01/AET-1_Uebung_01.pdf b/school/alg-etechnik/uebung/01/AET-1_Uebung_01.pdf new file mode 100644 index 0000000000000000000000000000000000000000..0329fc873abde0e77ad1497d5682a963c9fba600 GIT 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definitions %%%%%%%%% +\def \name {Valentin Brandl} % +\def \matrikel {108018274494} % +% \def \pname {Vorname2 Nachname2} % +% \def \pmatrikel {Matrikelnummer2} % +\def \gruppe {Gruppenkuerzel} % +\def \uebung {1} % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + % DO NOT MODIFY THIS HEADER +\newcommand{\hwsol}{ +\vspace*{-2cm} +\noindent \matrikel \quad \name \hfill Gruppe:\gruppe \\ +% \noindent \pmatrikel \quad \pname \\ +\begin{center}{\Large \bf L\"osung f\"ur \"Ubung \# \uebung}\end{center} +} + +\begin{document} +%Import header +\hwsol + + +\section*{Aufgabe 1} +\begin{enumerate}[(a)] + \item a + +\end{enumerate} + + +\end{document} +