Merge branch 'master' of ssh://ssh.hesge.ch:10572/orestis.malaspin/isc_physics

04_potentiel_electrique.md

@@ -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 
@@ -435,11 +435,11 @@ $$
 
 Exemple (Application de formules) #
 
-1. Calculer la capacité d'un condensateur donc les plaques rectangulaire ont 
+1. Calculer la capacité d'un condensateur dont les plaques rectangulaire ont 
    des dimensions de $10\cm\times 5\cm$ et sont séparées d'une distance de 
    $1\mm$.
 2. Quelle est la charge des plaques si on connecte la capacité à une batterie 
-   de $12\V$, quelle sera la charge des plaques?
+   de $12\V$?
 3. Quelle est le champs électrique entre les plaques?
 4. Quelle devrait être la distance entre les plaques pour avoir une capacité de 
    $1\F$?
@@ -454,7 +454,7 @@ Solution (Application de formules) #
    peut en déduire la capacité via
 \begin{equation}
     C=\epsilon_0\frac{S}{d}=8.85\cdot 10^{-12}\frac{5\cdot 
-    10^{-5}}{10^{-3}}=44.3\mathrm{pF}.
+    10^{-3}}{10^{-3}}=44.3\mathrm{pF}.
 \end{equation}
 2. La charge des plaque est donnée par
 $$

05_courant_electrique.md

@@ -97,7 +97,7 @@ $$
 $$
 Nous savons que la charge élémentaire est $e=1.6\cdot 10^{-19}$. On a donc que
 $$
-\frac{600}{e}\cong 4.4\cdot 10^{21}\mbox{ électrons}.
+\frac{750}{e}\cong 4.7\cdot 10^{21}\mbox{ électrons}.
 $$
 
 ---

06_cicruits_electriques.md

@@ -178,4 +178,80 @@ Exercice (Résistances multiples) #
 Deux résistances de $100\Omega$ sont connectées en parallèle ou en série sur une batterie de $24\V$. Quel est le courant total dans chaque circuit? Et la résistance équivalente?
 
 
----
\ No newline at end of file
+---
+
+Pour des circuits beaucoup plus compliqués que ceux vus ici, il faut noter qu'il y a un ensemble
+de règles qu'on peut appliquer pour déterminer le courant dans un circuit: les **lois de Kirchoff**. On ne va pas les lister ou les étudier ici.
+
+## Les circuits contenant des capacités en parallèle ou en série
+
+Comme les résistances, les capacités peuvent être placée en série ou en parallèle.
+Pour le cas parallèle (voir @fig:three_cap_par) chaque capacité est soumise à la même
+différence de potentiel $V$. Ainsi les 3 capacités ont les charges
+$$
+Q_1=C_1 V,\quad Q_2=C_2 V,\quad Q_3=C_3 V.
+$$
+La conservation de la charge impose que la charge totale sortant de la source de tension
+est donnée par
+$$
+Q=Q_1+Q_2+Q_3.
+$$
+
+![Les résistances $C_1$, $C_2$, $C_3$ sont connectées en parallèle à la source $V$ et accumulent les charges $Q_1$, $Q_2$, $Q_3$.](figs/three_cap_par.svg){#fig:three_cap_par width=50%}
+
+Si nous essayons de décrire ce circuit sous forme de circuit équivalent avec une seule capacité,
+$$
+Q=C_\mathrm{eq}V,
+$$
+on voit que
+\begin{align}
+C_\mathrm{eq}V&=Q_1+Q_2+Q_3,\nonumber
+C_\mathrm{eq}V&=(C_1+C_2+C_3)V,\nonumber
+C_\mathrm{eq}&=C_1+C_2+C_3.
+\end{align}
+
+Considérons maintenant le cas de capacités en série (voir @fig:three_cap). 
+
+![Les résistances $C_1$, $C_2$, $C_3$ sont connectées en série à la source $V$ et accumulent les charges $Q$.](figs/three_cap.svg){#fig:three_cap width=50%}
+
+---
+
+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

+<?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>

figs/three_cap.svg

+<?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="three_cap.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="362.19392"
+     inkscape:cy="121.80543"
+     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">
+    <marker
+       style="overflow:visible"
+       id="Arrow2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L" />
+    </marker>
+  </defs>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1"
+     transform="translate(-34.725612,-104.02868)">
+    <path
+       style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
+       d="m 111.46337,120.00262 h 47.32554"
+       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 165.49642,120.00262 h 15.49577"
+       id="path835-0-0"
+       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 34.928773,120.00262 H 50.224442"
+       id="path835-9"
+       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 57.123541,120.00262 H 104.27461"
+       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="37.527519"
+       y="116.14088"
+       id="text2558"><tspan
+         sodipodi:role="line"
+         id="tspan2556"
+         style="stroke-width:0.264583"
+         x="37.527519"
+         y="116.14088">C<tspan
+   style="font-size:65%;baseline-shift:sub"
+   id="tspan2560">1</tspan></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="58.477459"
+       y="129.62708"
+       id="text2558-3"><tspan
+         sodipodi:role="line"
+         style="stroke-width:0.264583"
+         x="58.477459"
+         y="129.62708"
+         id="tspan2730">Q<tspan
+   style="font-size:65%;baseline-shift:sub"
+   id="tspan2732" /></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="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="90.570618"
+       y="116.14088"
+       id="text2558-9"><tspan
+         sodipodi:role="line"
+         id="tspan2556-4"
+         style="stroke-width:0.264583"
+         x="90.570618"
+         y="116.14088">C<tspan
+   style="font-size:65%;baseline-shift:sub"
+   id="tspan2679">2</tspan></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="113.99275"
+       y="129.62708"
+       id="text2558-9-0"><tspan
+         sodipodi:role="line"
+         id="tspan2556-4-6"
+         style="stroke-width:0.264583"
+         x="113.99275"
+         y="129.62708">Q<tspan
+   style="font-size:65%;baseline-shift:sub"
+   id="tspan2679-3" /></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="146.25826"
+       y="116.10648"
+       id="text2558-8"><tspan
+         sodipodi:role="line"
+         id="tspan2556-45"
+         style="stroke-width:0.264583"
+         x="146.25826"
+         y="116.10648">C<tspan
+   style="font-size:65%;baseline-shift:sub"
+   id="tspan2681">3</tspan></tspan></text>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;marker-end:url(#Arrow2);stroke-dasharray:none"
+       d="M 62.527521,175.10636 C 40.02667,175.37864 39.493462,162.85696 39.493462,151.517"
+       id="path3059"
+       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="47.537434"
+       y="164.77495"
+       id="text3089"><tspan
+         sodipodi:role="line"
+         id="tspan3087"
+         style="stroke-width:0.264583"
+         x="47.537434"
+         y="164.77495">I</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="167.20485"
+       y="129.59268"
+       id="text2558-8-1"><tspan
+         sodipodi:role="line"
+         id="tspan2556-45-5"
+         style="stroke-width:0.264583"
+         x="167.20485"
+         y="129.59268">Q<tspan
+   style="font-size:65%;baseline-shift:sub"
+   id="tspan2681-5" /></tspan></text>
+    <g
+       id="g926"
+       transform="translate(-33.994588,61.442884)">
+      <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" />
+      <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" />
+    </g>
+    <g
+       id="g926-7"
+       transform="translate(20.343479,61.44289)">
+      <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
+       id="g926-1"
+       transform="translate(74.681546,61.44289)">
+      <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="path297-36-2" />
+      <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="path297-7-9" />
+    </g>
+  </g>
+</svg>

figs/three_cap_par.svg

+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   width="154.19136mm"
+   height="121.34182mm"
+   viewBox="0 0 154.19136 121.34182"
+   version="1.1"
+   id="svg7057"
+   inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
+   sodipodi:docname="three_cap_par.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="namedview7059"
+     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="1.1852858"
+     inkscape:cx="199.1081"
+     inkscape:cy="149.33108"
+     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="defs7054">
+    <marker
+       style="overflow:visible"
+       id="Arrow2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L" />
+    </marker>
+  </defs>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1"
+     transform="translate(-6.552867,-47.217929)">
+    <path
+       style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
+       d="M 89.511126,111.44339 H 134.9337"
+       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 90.284645,85.501417 H 160.02749"
+       id="path835-0-4"
+       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 40.261626,58.559736 H 83.988645"
+       id="path835-0-0"
+       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 91.165636,58.559736 H 134.89265"
+       id="path835-0-0-7"
+       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 15.156308,85.501417 H 82.819251"
+       id="path835-0-7"
+       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 40.231051,111.44339 H 82.001333"
+       id="path835-0-2"
+       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 84.167369,168.50737 V 151.03148"
+       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 91.055635,164.21085 V 155.328"
+       id="path297-3"
+       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 91.412801,159.76942 H 160.74422"
+       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 14.655974,159.76942 H 83.987391"
+       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 160.23746,160.08732 V 85.003268"
+       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 14.882133,160.03389 V 85.004231"
+       id="path2406-9-3"
+       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 40.723213,111.61159 V 58.207933"
+       id="path2406-9-3-3"
+       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 134.44861,111.57761 V 58.173952"
+       id="path2406-9-3-3-5"
+       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="70.427368"
+       y="106.95406"
+       id="text2558"><tspan
+         sodipodi:role="line"
+         id="tspan2556"
+         style="stroke-width:0.264583"
+         x="70.427368"
+         y="106.95406">C<tspan
+   style="font-size:65%;baseline-shift:sub"
+   id="tspan2560">1</tspan></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="91.475479"
+       y="121.70097"
+       id="text2558-92"><tspan
+         sodipodi:role="line"
+         style="stroke-width:0.264583"
+         x="91.475479"
+         y="121.70097"
+         id="tspan1250">Q<tspan
+   style="font-size:65%;baseline-shift:sub"
+   id="tspan1252">1</tspan></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="93.221596"
+       y="156.02769"
+       id="text2558-3-4"><tspan
+         sodipodi:role="line"
+         id="tspan2556-6-7"
+         style="stroke-width:0.264583"
+         x="93.221596"
+         y="156.02769">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="69.85984"
+       y="80.874168"
+       id="text2558-9"><tspan
+         sodipodi:role="line"
+         id="tspan2556-4"
+         style="stroke-width:0.264583"
+         x="69.85984"
+         y="80.874168">C<tspan
+   style="font-size:65%;baseline-shift:sub"
+   id="tspan2679">2</tspan></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="91.475479"
+       y="95.767273"
+       id="text2558-9-1"><tspan
+         sodipodi:role="line"
+         id="tspan2556-4-8"
+         style="stroke-width:0.264583"
+         x="91.475479"
+         y="95.767273">Q<tspan
+   style="font-size:65%;baseline-shift:sub"
+   id="tspan2679-7">2</tspan></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="69.877037"
+       y="54.880238"
+       id="text2558-8"><tspan
+         sodipodi:role="line"
+         id="tspan2556-45"
+         style="stroke-width:0.264583"
+         x="69.877037"
+         y="54.880238">C<tspan
+   style="font-size:65%;baseline-shift:sub"
+   id="tspan2681">3</tspan></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="92.190491"
+       y="68.874565"
+       id="text2558-8-3"><tspan
+         sodipodi:role="line"
+         id="tspan2556-45-6"
+         style="stroke-width:0.264583"
+         x="92.190491"
+         y="68.874565">Q<tspan
+   style="font-size:65%;baseline-shift:sub"
+   id="tspan2681-0">3</tspan></tspan></text>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
+       d="M 29.846976,168.0555 C 13.587421,168.25225 9.352867,161.58463 9.352867,152.23514"
+       id="path3059"
+       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="17.396837"
+       y="155.26247"
+       id="text3089"><tspan
+         sodipodi:role="line"
+         id="tspan3087"
+         style="stroke-width:0.264583"
+         x="17.396837"
+         y="155.26247">I</tspan></text>
+    <g
+       id="g926">
+      <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" />
+      <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" />
+    </g>
+    <g
+       id="g926-9"
+       transform="translate(-0.92149029,26.941681)">
+      <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="path297-36-1" />
+      <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="path297-7-2" />
+    </g>
+    <g
+       id="g926-7"
+       transform="translate(-1.8143833,52.883654)">
+      <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="path297-36-0" />
+      <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="path297-7-9" />
+    </g>
+  </g>
+</svg>

figs/three_res_par.svg

@@ -7,7 +7,7 @@
    viewBox="0 0 154.19136 125.97395"
    version="1.1"
    id="svg7057"
-   inkscape:version="1.2.2 (1:1.2.2+202212051552+b0a8486541)"
+   inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
    sodipodi:docname="three_res_par.svg"
    xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
    xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
@@ -25,10 +25,10 @@
      inkscape:document-units="mm"
      showgrid="false"
      inkscape:zoom="1.6762472"
-     inkscape:cx="204.62376"
-     inkscape:cy="313.79621"
+     inkscape:cx="251.15627"
+     inkscape:cy="340.64188"
      inkscape:window-width="1920"
-     inkscape:window-height="1011"
+     inkscape:window-height="1007"
      inkscape:window-x="0"
      inkscape:window-y="0"
      inkscape:window-maximized="1"
@@ -73,25 +73,6 @@
          style="fill:context-stroke;fill-rule:evenodd;stroke:none"
          id="arrow2L-4" />
     </marker>
-    <marker
-       style="overflow:visible"
-       id="Arrow2-1-2"
-       refX="0"
-       refY="0"
-       orient="auto-start-reverse"
-       inkscape:stockid="Arrow2"
-       markerWidth="7.6999998"
-       markerHeight="5.5999999"
-       viewBox="0 0 7.7 5.6"
-       inkscape:isstock="true"
-       inkscape:collect="always"
-       preserveAspectRatio="xMidYMid">
-      <path
-         transform="scale(0.7)"
-         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
-         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
-         id="arrow2L-4-0" />
-    </marker>
     <marker
        style="overflow:visible"
        id="Arrow2-1-2-8"
@@ -117,36 +98,16 @@
      inkscape:groupmode="layer"
      id="layer1"
      transform="translate(-6.552867,-42.585797)">
-    <path
-       style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1"
-       d="m 101.18092,111.44339 h 58.8478"
-       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 100.64461,85.501417 h 59.38288"
        id="path835-0-4"
        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 100.58696,58.559736 h 60.08201"
-       id="path835-0-3"
-       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 14.37854,58.559736 H 74.779601"
-       id="path835-0-0"
-       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 15.156308,85.501417 H 74.759937"
        id="path835-0-7"
        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 14.81471,111.44339 H 74.299838"
-       id="path835-0-2"
-       sodipodi:nodetypes="cc" />
     <g
        id="g2379"
        transform="translate(15.985194,-27.260183)">
@@ -172,12 +133,12 @@
        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 160.23746,160.08732 V 58.724312"
+       d="m 160.23746,160.08732 0,-75.086742"
        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 14.882133,160.03389 V 58.779749"
+       d="m 14.882133,160.03389 0,-75.039977"
        id="path2406-9-3"
        sodipodi:nodetypes="cc" />
     <g
@@ -390,17 +351,12 @@
        sodipodi:nodetypes="cc" />
     <path
        style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-1)"
-       d="m 17.463207,135.91774 c -0.19675,-16.25956 6.470869,-20.49411 15.820361,-20.49411"
+       d="m 41.846552,86.683977 c -0.19675,16.259563 6.470869,20.494113 15.820361,20.494113"
        id="path3059-9"
        sodipodi:nodetypes="cc" />
-    <path
-       style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-1-2)"
-       d="M 17.463208,109.72096 C 17.266458,93.461392 23.934077,89.226842 33.283569,89.226842"
-       id="path3059-9-6"
-       sodipodi:nodetypes="cc" />
     <path
        style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-1-2-8)"
-       d="M 17.463208,83.22879 C 17.266458,66.969222 23.934077,62.734672 33.283569,62.734672"
+       d="M 42.100513,83.036637 C 41.903763,66.777069 48.571382,62.542519 57.920874,62.542519"
        id="path3059-9-6-2"
        sodipodi:nodetypes="cc" />
     <text
@@ -417,41 +373,81 @@
     <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="25.186525"
-       y="127.07301"
+       x="49.56987"
+       y="101.12731"
        id="text8539"><tspan
          sodipodi:role="line"
          id="tspan8537"
          style="stroke-width:0.264583"
-         x="25.186525"
-         y="127.07301">I<tspan
+         x="49.56987"
+         y="101.12731">I<tspan
    style="font-size:65%;baseline-shift:sub"
    id="tspan8541">1</tspan></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="24.069696"
-       y="100.87623"
+       x="59.637783"
+       y="82.070953"
        id="text8539-6"><tspan
          sodipodi:role="line"
          id="tspan8537-6"
          style="stroke-width:0.264583"
-         x="24.069696"
-         y="100.87623">I<tspan
+         x="59.637783"
+         y="82.070953">I<tspan
    style="font-size:65%;baseline-shift:sub"
    id="tspan8541-4">2</tspan></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="23.404802"
-       y="74.335358"
+       x="48.042107"
+       y="74.143204"
        id="text8539-9"><tspan
          sodipodi:role="line"
          id="tspan8537-5"
          style="stroke-width:0.264583"
-         x="23.404802"
-         y="74.335358">I<tspan
+         x="48.042107"
+         y="74.143204">I<tspan
    style="font-size:65%;baseline-shift:sub"
    id="tspan8610">3</tspan></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 100.59218,111.44178 34.03724,0"
+       id="path835-0-9"
+       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 100.71897,85.499814 59.00424,0"
+       id="path835-0-4-2"
+       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 39.957347,58.558134 34.860986,0"
+       id="path835-0-0-2"
+       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 100.57998,58.558134 34.00839,0"
+       id="path835-0-0-7"
+       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 14.852029,85.499814 59.573766,0"
+       id="path835-0-7-8"
+       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 39.926772,111.44178 34.814814,0"
+       id="path835-0-2-9"
+       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 40.418934,111.60998 V 58.206324"
+       id="path2406-9-3-3"
+       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 134.14433,111.576 V 58.172344"
+       id="path2406-9-3-3-5"
+       sodipodi:nodetypes="cc" />
   </g>
 </svg>