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updated makfile and updated potentiel exergy

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......@@ -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.
![Le transport d'une charge positive entre $A$ et $B$ entre deux plaques infinies chargées.](figs/epot.svg){#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
......@@ -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))
......
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