Skip to content
Snippets Groups Projects
Verified Commit 3c16106d authored by orestis.malaspin's avatar orestis.malaspin
Browse files

added rc ciscuit erxample

parent 359af456
No related branches found
No related tags found
No related merge requests found
Pipeline #24239 passed
Stage: test
Hide whitespace changes
Inline Side-by-side
04_potentiel_electrique.md
+ 1
− 1
View file @ 3c16106d
......@@ -395,7 +395,7 @@ Les capacités sont représentées dans des circuits électriques pas un symbole
comme si la @fig:cap_symbol
![Un symbole représentant une capacité dans un circuit
électrique.](figs/cap_symbol.svg){#fig:cap_symbol width=50%}
électrique.](figs/cap_symbol.svg){#fig:cap_symbol width=20%}
Si on applique un voltage (un potentiel), $V$, entre les deux plaques en les
connectant à une batterie ou à une prise électrique par exemple, une des deux
......
06_cicruits_electriques.md
+ 33
− 1
View file @ 3c16106d
......@@ -216,10 +216,42 @@ Considérons maintenant le cas de capacités en série (voir @fig:three_cap).
---
Exercice (Capacité équivalente) #
Question (Capacité équivalente) #
Déterminer la capacité équivalente des capacités branchées en série.
Indication: Il faut évaluer $V$ en fonction des chutes de potentiel.
---
---
Solution (Capacité équivalente) #
Le voltage total au travers de toutes les capacités doit être donné par la somme des voltages au travers de chaque capacité
$$
V=V_1+V_2+V_3.
$${#eq:tot_volt}
On sait aussi que le charge est la même sur chaque capacité (conservation de la charge) et donc
$$
Q=C_1V_1=C_2V_2=C_3V_3.
$$
On peut réécrire @eq:tot_volt comme
$$
\frac{Q}{C_\mathrm{eq}}=\frac{Q}{C_1}+\frac{Q}{C_2}+\frac{Q}{C_3}=Q\left(\frac{1}{C_1}+\frac{1}{C_2}+\frac{1}{C_3}\right).
$$
---
## Les circuits RC
Souvent les capacités et résistances sont connectées en série dans les circuits électriques (voir @fig:rc). C'est même un composant essentiel
dans quasiment tous les circuits du monde.
Ces circuits sont particulièrement utiles quand
les courant n'est pas stationnaire (qu'il dépend du temps). Dans cette section on va analyser les circuits RC dans certains cas particuliers.
![Exemple de circuit RC.](figs/rc.svg){#fig:rc width=50%}
figs/rc.svg 0 → 100644
+ 205
− 0
View file @ 3c16106d
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="146.36209mm"
height="83.975021mm"
viewBox="0 0 146.36209 83.975021"
version="1.1"
id="svg626"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="rc.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview628"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.551655"
inkscape:cx="426.64124"
inkscape:cy="135.98384"
inkscape:window-width="1920"
inkscape:window-height="1007"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer1" />
<defs
id="defs623" />
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
transform="translate(-34.725612,-104.02868)">
<g
id="g2402">
<g
id="g745"
style="stroke-width:4.44992;stroke-dasharray:none"
transform="matrix(0.22472321,0,0,0.22472321,85.284846,83.474005)">
<path
style="fill:none;stroke:#000000;stroke-width:4.44992;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
d="m 41.58549,162.58447 9.950702,-17.17818"
id="path649"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:4.44992;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
d="M 71.25275,179.69249 51.38999,145.28918"
id="path649-6" />
</g>
<g
id="g745-7"
transform="matrix(0.22472321,0,0,0.22472321,94.180614,83.474005)"
style="stroke-width:4.44992;stroke-dasharray:none">
<path
style="fill:none;stroke:#000000;stroke-width:4.44992;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
d="m 31.673432,179.8096 19.86276,-34.40331"
id="path649-5" />
<path
style="fill:none;stroke:#000000;stroke-width:4.44992;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
d="M 71.25275,179.69249 51.38999,145.28918"
id="path649-6-3" />
</g>
<path
style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
d="m 119.03967,123.85006 2.24069,-3.85159"
id="path649-5-3"
sodipodi:nodetypes="cc" />
<g
id="g745-5"
transform="matrix(0.22472321,0,0,0.22472321,103.04972,83.474005)"
style="stroke-width:4.44992;stroke-dasharray:none">
<path
style="fill:none;stroke:#000000;stroke-width:4.44992;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
d="m 31.673432,179.8096 19.86276,-34.40331"
id="path649-62" />
<path
style="fill:none;stroke:#000000;stroke-width:4.44992;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
d="M 71.25275,179.69249 51.38999,145.28918"
id="path649-6-9" />
</g>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
d="m 121.26207,120.00262 h 27.77826"
id="path835-0"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
d="m 155.78208,120.00262 h 25.14204"
id="path835-0-29"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
d="m 34.928773,120.00262 h 5.392054"
id="path835-9" />
<path
style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
d="M 66.923999,120.00262 H 94.643317"
id="path835-0-2"
sodipodi:nodetypes="cc" />
<g
id="g2379"
transform="translate(36.328673,-7.7638427)">
<path
style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
d="M 68.182175,195.76755 V 178.29166"
id="path297" />
<path
style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
d="m 75.070441,191.47103 v -8.88285"
id="path297-3"
sodipodi:nodetypes="cc" />
</g>
<path
style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
d="M 111.75628,179.26576 H 181.0877"
id="path2406"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
d="M 34.999453,179.26576 H 104.33087"
id="path2406-1"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
d="M 180.58094,179.58366 V 119.59291"
id="path2406-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
d="M 35.225612,179.53023 V 119.53948"
id="path2406-9-3"
sodipodi:nodetypes="cc" />
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:10.5833px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="113.56507"
y="175.52403"
id="text2558-3-4"><tspan
sodipodi:role="line"
id="tspan2556-6-7"
style="stroke-width:0.264583"
x="113.56507"
y="175.52403">V<tspan
style="font-size:65%;baseline-shift:sub"
id="tspan2560-1-4" /></tspan></text>
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:10.5833px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="101.9148"
y="111.79266"
id="text2558-9"><tspan
sodipodi:role="line"
id="tspan2556-4"
style="stroke-width:0.264583"
x="101.9148"
y="111.79266">R<tspan
style="font-size:65%;baseline-shift:sub"
id="tspan2679" /></tspan></text>
<path
style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
d="M 39.879896,119.99876 67.4,112.62477"
id="path630" />
<circle
style="fill:#ffffff;stroke:#000000;stroke-width:1;stroke-linecap:square;stroke-dasharray:none"
id="path1244"
cx="67.314163"
cy="112.58821"
r="1.1891615" />
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:10.5833px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="139.82135"
y="116.10652"
id="text2558-9-3"><tspan
sodipodi:role="line"
id="tspan2556-4-67"
style="stroke-width:0.264583"
x="139.82135"
y="116.10652">C<tspan
style="font-size:65%;baseline-shift:sub"
id="tspan2679-5" /></tspan></text>
<g
id="g926-7"
transform="translate(65.095003,61.442884)">
<path
style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
d="M 84.167369,67.297681 V 49.821791"
id="path297-36-3" />
<path
style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
d="M 91.055635,67.297681 V 49.821791"
id="path297-7-6" />
</g>
</g>
</svg>
0% or .
You are about to add 0 people to the discussion. Proceed with caution.
Finish editing this message first!
Please register or to comment