From 8ab0505ec26896b58415eb4d318271a760e45b3a Mon Sep 17 00:00:00 2001
From: Benjamin Chausse <benjamin@chausse.xyz>
Date: Tue, 3 Dec 2024 15:25:57 -0500
Subject: more stuff

---
 annexe/main.tex | 10 +++++++---
 1 file changed, 7 insertions(+), 3 deletions(-)

(limited to 'annexe/main.tex')

diff --git a/annexe/main.tex b/annexe/main.tex
index 02f7e0b..f42234e 100644
--- a/annexe/main.tex
+++ b/annexe/main.tex
@@ -24,6 +24,9 @@
 % \d{x} command for integral delimiters
 \renewcommand{\d}[1]{\mathrm{d}#1}
 \newcommand{\dt}{\mathrm{d}t}
+\newcommand{\ddt}[1]{\frac{d^{#1}}{dt^{#1}}}
+\newcommand{\vlt}{V_L(t)}
+\newcommand{\vlz}{V_L(0)}
 
 
 \DeclareSIPrefix{\micro}{%
@@ -56,11 +59,12 @@
 \newpage
 
 \begin{appendix}
-	allo
+
 	\subsection{Décharge}
 	\begin{align}
-		0 & = V_L(t) + V_C(t) + V_R(t)
-		0 & = V_L(t)+\frac{1}{C}\int I_(t)\dt
+		0 & = \vlt + V_C(t) + V_R(t)                 \\
+		0 & = \vlt+\frac{1}{C}\int I_(t)\dt + R_I(t) \\
+		0 & = \ddt{2} \vlt
 	\end{align}
 \end{appendix}
 
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