From d38d352fd3f24e6c424e8f53f233b3a490bdcad2 Mon Sep 17 00:00:00 2001
From: Orestis <orestis.malaspinas@pm.me>
Date: Thu, 11 Mar 2021 23:19:51 +0100
Subject: [PATCH] updated makfile and updated potentiel exergy
---
04_potentiel_electrique.md | 30 ++
Makefile | 2 +-
figs/epot.svg | 1010 ++++++++++++++++++++++++++++++++++++
3 files changed, 1041 insertions(+), 1 deletion(-)
create mode 100644 figs/epot.svg
diff --git a/04_potentiel_electrique.md b/04_potentiel_electrique.md
index 8c4b596..6cef78a 100644
--- a/04_potentiel_electrique.md
+++ b/04_potentiel_electrique.md
@@ -25,9 +25,39 @@ où $\Delta_{EP}(A,B)$ est la variation d'énergie potentielle
entre les points $A$ et $B$, et $W$ le travail du à la force
électrostatique.
+{#fig:epot width=50%}
+
La variation d'énergie potentielle s'écrit donc
$$
\Delta_{EP}(A,B)=E_\mathrm{pot}(B)-E_\mathrm{pot}(A).
$$
+Quand une charge $q$ bouge d'un point $A$ à un point $B$ son énergie augmente
+(ou diminue) comme l'inverse du travail qu'il faut à la force électrostatique
+pour la déplacer de $A$ à $B$.
+
+Ainsi Dans le cas de @fig:epot, nous sommes dans une situation où on a un
+champs électrique uniforme $E$ entre deux plaques infinies.
+Si on lâche la charge $q$ du point $A$,
+et qu'on suppose que $q$ est suffisamment petite pour ne pas modifier
+le champs électrique entre les plaques. La force électrostatique va déplacer
+la charge du point $A$ au point $B$ sur une distance $d=|A-B|$ et effectuer un travail $W$
+$$
+W=F\cdot d=q\cdot E\cdot d.
+$$
+Le changement d'énergie potentielle est donc
+$$
+E_\mathrm{pot}(B)-E_\mathrm{pot}(A)=-q\cdot E\cdot d.
+$$
+L'énergie potentielle diminue dans ce cas (le travail est positif)
+et la particule accélère naturellement du point $A$ au point $B$.
+Ainsi la loi de conservation d'énergie est vérifiée:
+l'énergie cinétique augmente et l'énergie potentielle (électrique) diminue
+d'autant. A l'inverse si on remplace la charge $q$ par $-q$
+son énergie potentielle sera augmentée lors du déplacement
+de $A$ à $B$.
+
+## Le potentiel électrique
+
+
diff --git a/Makefile b/Makefile
index c75ba9e..a0b746d 100644
--- a/Makefile
+++ b/Makefile
@@ -19,7 +19,7 @@ HTMLOPTIONS += --self-contained
HTMLOPTIONS += --mathjax=MathJax.js
# SOURCES = 00_macros.md 01_analyse_dimensionnelle.md 02_lois_de_newton.md 03_charge_electrique_champs_electrique.md 04_remerciements.md 10_footer.md
-CLASS_SOURCES := $(filter-out README.md, $(wildcard *.md))
+CLASS_SOURCES := $(sort $(filter-out README.md, $(wildcard *.md)))
SOURCES := $(filter-out 00_macros.md, $(CLASS_SOURCES))
SOURCES := $(filter-out 10_footer.md, $(SOURCES))
diff --git a/figs/epot.svg b/figs/epot.svg
new file mode 100644
index 0000000..c29f918
--- /dev/null
+++ b/figs/epot.svg
@@ -0,0 +1,1010 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<svg
+ xmlns:dc="http://purl.org/dc/elements/1.1/"
+ xmlns:cc="http://creativecommons.org/ns#"
+ xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
+ xmlns:svg="http://www.w3.org/2000/svg"
+ xmlns="http://www.w3.org/2000/svg"
+ xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+ xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+ width="140.22917mm"
+ height="137.58333mm"
+ viewBox="0 0 140.22917 137.58333"
+ version="1.1"
+ id="svg8"
+ sodipodi:docname="epot.svg"
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