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| author | Benjamin Chausse <benjamin@chausse.xyz> | 2024-12-03 03:00:33 -0500 |
|---|---|---|
| committer | Benjamin Chausse <benjamin@chausse.xyz> | 2024-12-03 03:00:33 -0500 |
| commit | b0a101640711d281082ebc92c30fe030a1f7820a (patch) | |
| tree | b6b1a527904aad96cbae2d34755e0a7c65e03e9c /presentation | |
| parent | b9f49f62390cd0e4fcc46c81e96a3325ec6057c0 (diff) | |
More stuff done
Diffstat (limited to 'presentation')
| -rw-r--r-- | presentation/00-main.tex | 2 | ||||
| -rw-r--r-- | presentation/01-rlc.tex | 29 | ||||
| -rw-r--r-- | presentation/figure/vl_t_decharge.png | bin | 0 -> 58248 bytes |
3 files changed, 24 insertions, 7 deletions
diff --git a/presentation/00-main.tex b/presentation/00-main.tex index fbda759..9cd1b84 100644 --- a/presentation/00-main.tex +++ b/presentation/00-main.tex @@ -34,6 +34,8 @@ \newcommand{\fixme}[1]{\begin{color}{Fuchsia}\textbf{FIXME:} #1\end{color}} \newcommand{\question}[1]{\begin{color}{ForestGreen}\textbf{QUESTION:} #1\end{color}} +% use \e for Euler's number +\newcommand{\e}{\mathrm{e}} \title[S2-APP6: Analyse d'EQ analogique]{S2-APP6: Analyse d'un égaliseur analogique} \author[Benjamin Chausse \& Sarah Gosselin]{ diff --git a/presentation/01-rlc.tex b/presentation/01-rlc.tex index 4854494..106f8b7 100644 --- a/presentation/01-rlc.tex +++ b/presentation/01-rlc.tex @@ -17,7 +17,6 @@ \end{tabular} \end{table} \end{column} - \begin{column}{.5\textwidth} \begin{figure} \includegraphics[width=.7\textwidth]{figure/screenshot-rlc.jpg} @@ -32,7 +31,17 @@ \subsection{À la charge} \begin{frame} \frametitle{Mises en équation de la charge} - \todo{Meth charge RLC} + \begin{align} + V_\mathrm{in}(t) & = V_C(t) + V_R(t) + V_L(t) + \Rightarrow + V_\mathrm{in}^{\prime\prime}(t) = V_L^{\prime\prime}(t) + \frac{R}{L}V_L^{\prime}(t) + \frac{1}{LC}V_L(t) \\ + V_C(0) & = 0;\quad + V_R(0) = 0;\quad + V_L(0) = 12;\quad + I(0) = 0; \\ + V_L(t) & = \e^{-1000t} \left( 12\cos(8516.42t) - 1.41\sin(8516.42t) \right) + \end{align} + \todo{Finish charge RLC} \end{frame} \begin{frame} @@ -63,7 +72,16 @@ \subsection{À la décharge} \begin{frame} \frametitle{Mises en équation de la décharge} - \todo{Meth décharge RLC} + \begin{align} + V_\mathrm{in}(t) & = V_C(t) + V_R(t) + V_L(t) \\ + V_\mathrm{in}(0) & = 0 ;\quad + V_C(0) = 12;\quad + V_R(0) = 0;\quad + I(0) = 0; \\ + V_L^\prime(t) & = -\frac{R}{L}V_L(t) = -\frac{R}{L}12 = + 60\times10^{6} \\ + V_L(t) & = -12 \e^{5\times10^{6}t} + \end{align} \end{frame} \begin{frame} @@ -72,7 +90,7 @@ \begin{column}{0.5\textwidth} \begin{figure} - \includegraphics[width=.9\textwidth]{figure/vl_t_charge.png} + \includegraphics[width=.9\textwidth]{figure/vl_t_decharge.png} \caption{M.E.É. du circuit RLC en décharge} \label{graph:mee-decharge-rlc} \end{figure} @@ -85,10 +103,7 @@ \label{graph:lts-decharge-rlc} \end{figure} \end{column} - - \end{columns} - \todo{Graph Desmos decharge RLC} \todo{Graph LTspice decharge RLC} \end{frame} diff --git a/presentation/figure/vl_t_decharge.png b/presentation/figure/vl_t_decharge.png Binary files differnew file mode 100644 index 0000000..191f810 --- /dev/null +++ b/presentation/figure/vl_t_decharge.png |
