From 583846564439095525ffcc8c1fd24b41b78a23c0 Mon Sep 17 00:00:00 2001 From: Orestis <orestis.malaspinas@pm.me> Date: Wed, 22 Feb 2023 10:01:41 +0100 Subject: [PATCH] avant loi d'ohm --- 05_courant_electrique.md | 41 +++++++ figs/circuit.svg | 119 ++++++++++++++++++++ figs/sens_courant.svg | 234 +++++++++++++++++++++++++++++++++++++++ figs/source.svg | 79 +++++++++++++ 4 files changed, 473 insertions(+) create mode 100644 figs/circuit.svg create mode 100644 figs/sens_courant.svg create mode 100644 figs/source.svg diff --git a/05_courant_electrique.md b/05_courant_electrique.md index 1052941..5181ab3 100644 --- a/05_courant_electrique.md +++ b/05_courant_electrique.md @@ -36,6 +36,10 @@ une différence de charge entre les deux électrode et on crée ainsi une diffé entre les 2 électrodes. Comme vu dans le chapitre précédent on peut utiliser cette différence de potentiel pour mettre les charges en mouvement. +La @fig:source représente la notation pour la source de tension (batterie ou toute autre source) + +{#fig:source width=50%} + ## Le courant électrique En connectant les deux électrode avec une fil conducteur, on construit un circuit électrique. @@ -67,3 +71,40 @@ $$ $$ --- + +Un courant électrique ne peut passer qu'à condition qu'un chemin continu existe pour faire passer le courant. S'il y a une discontinuité le courant ne peut pas passer (voir @fig:circuit). + +{#fig:circuit width=50%} + +Dans le cas d'un courant continu, le courant est le même à n'importe quel point d'un circuit fermé. Ce fait est la conséquence de la conservation de la charge: la batterie ou un appareil électrique ne détruisent ni ne créent de charges nettes. + + +--- + +Exemple (Charge totale dans un circuit) # + +Imaginons qu'un courant continu de $2.5\ \A$ passe dans un circuit pendant 5 minutes. Quelle est la charge totale qui est passée dans le circuit? Combien d'électrons cela fait? + +--- + +--- + +Solution (Charge totale dans un circuit) # + +Le courant étant la charge par unité de temps, on peut écrire +$$ +\Delta Q = I \cdot \Delta t = 2.5\cdot 300=750\C. +$$ +Nous savons que la charge élémentaire est $e=1.6\cdot 10^{-19}$. On a donc que +$$ +\frac{600}{e}\cong 4.4\cdot 10^{21}\mbox{ électrons}. +$$ + +--- + +Il existe une convention pas très intuitive pour le sens du courant dans un circuit qu'il vaut la peine de discuter ici. En effet, +le sens du courant est vu comme le déplacement de charges **positives** (bien que ça soit les électrons qui se déplacent). Ainsi, le sens du courant est opposé au sens de déplacement +des électrons (voir @fig:sens_courant). + +{#fig:sens_courant width=50%} + diff --git a/figs/circuit.svg b/figs/circuit.svg new file mode 100644 index 0000000..238f7a2 --- /dev/null +++ b/figs/circuit.svg @@ -0,0 +1,119 @@ +<?xml version="1.0" encoding="UTF-8" standalone="no"?> +<!-- Created with Inkscape (http://www.inkscape.org/) --> + +<svg + width="92.742477mm" + height="94.194946mm" + viewBox="0 0 92.742477 94.194946" + version="1.1" + id="svg5" + inkscape:version="1.2.2 (b0a8486541, 2022-12-01)" + sodipodi:docname="circuit.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="namedview7" + 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="0.78305976" + inkscape:cx="162.1843" + inkscape:cy="61.298003" + inkscape:window-width="960" + inkscape:window-height="1007" + inkscape:window-x="0" + inkscape:window-y="0" + inkscape:window-maximized="0" + inkscape:current-layer="layer1" /> + <defs + id="defs2" /> + <g + inkscape:label="Layer 1" + inkscape:groupmode="layer" + id="layer1" + transform="translate(-40.957443,-67.005956)"> + <g + id="g522"> + <path + style="fill:none;stroke:#000000;stroke-width:0.264583px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" + d="M 80.714235,161.2009 V 128.21743" + id="path297" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.264583px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" + d="M 93.714946,153.09178 V 136.32655" + id="path297-3" + sodipodi:nodetypes="cc" /> + </g> + <path + style="fill:none;stroke:#000000;stroke-width:0.264583px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" + d="M 80.808147,144.70916 H 41.089734 V 75.797133 h 92.527606" + id="path486" + sodipodi:nodetypes="cccc" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.264583px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" + d="M 93.849207,144.70916 H 133.56763 V 75.812661" + id="path486-6" /> + <text + xml:space="preserve" + style="font-size:10.5833px;line-height:0;font-family:sans-serif;letter-spacing:0px;stroke-width:0.264583" + x="72.92086" + y="156.79892" + id="text627"><tspan + sodipodi:role="line" + id="tspan625" + style="stroke-width:0.264583" + x="72.92086" + y="156.79892">+</tspan></text> + <text + xml:space="preserve" + style="font-size:10.5833px;line-height:0;font-family:sans-serif;letter-spacing:0px;stroke-width:0.264583" + x="98.072708" + y="155.89934" + id="text631"><tspan + sodipodi:role="line" + id="tspan629" + style="stroke-width:0.264583" + x="98.072708" + y="155.89934">-</tspan></text> + <g + id="g1202" + transform="translate(-5.3707653,-1.4151025)"> + <rect + style="fill:#ffffff;fill-opacity:1;stroke:#000000;stroke-width:0.25;stroke-linecap:square" + id="rect641" + width="48.792309" + height="17.173231" + x="68.189201" + y="68.546059" /> + <text + xml:space="preserve" + style="font-size:10.5833px;line-height:0;font-family:sans-serif;letter-spacing:0px;stroke-width:0.264583" + x="72.276009" + y="79.884331" + id="text635"><tspan + sodipodi:role="line" + id="tspan633" + style="stroke-width:0.264583" + x="72.276009" + y="79.884331">Appareil</tspan><tspan + sodipodi:role="line" + style="stroke-width:0.264583" + x="72.276009" + y="79.884331" + id="tspan637" /><tspan + sodipodi:role="line" + style="stroke-width:0.264583" + x="72.276009" + y="79.884331" + id="tspan639" /></text> + </g> + </g> +</svg> diff --git a/figs/sens_courant.svg b/figs/sens_courant.svg new file mode 100644 index 0000000..3512e79 --- /dev/null +++ b/figs/sens_courant.svg @@ -0,0 +1,234 @@ +<?xml version="1.0" encoding="UTF-8" standalone="no"?> +<!-- Created with Inkscape (http://www.inkscape.org/) --> + +<svg + width="92.742477mm" + height="94.194946mm" + viewBox="0 0 92.742477 94.194946" + version="1.1" + id="svg5" + inkscape:version="1.2.2 (b0a8486541, 2022-12-01)" + sodipodi:docname="sens_courant.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="namedview7" + 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="2.2148275" + inkscape:cx="65.467854" + inkscape:cy="262.77442" + inkscape:window-width="960" + inkscape:window-height="1007" + inkscape:window-x="0" + inkscape:window-y="0" + inkscape:window-maximized="0" + inkscape:current-layer="layer1" /> + <defs + id="defs2"> + <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> + <marker + style="overflow:visible" + id="Arrow2-3" + 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-6" /> + </marker> + <marker + style="overflow:visible" + id="Arrow2-5" + 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-3" /> + </marker> + <marker + style="overflow:visible" + id="Arrow2-3-5" + 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-6-6" /> + </marker> + </defs> + <g + inkscape:label="Layer 1" + inkscape:groupmode="layer" + id="layer1" + transform="translate(-40.957443,-67.005956)"> + <g + id="g522"> + <path + style="fill:none;stroke:#000000;stroke-width:0.264583px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" + d="M 80.714235,161.2009 V 128.21743" + id="path297" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.264583px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" + d="M 93.714946,153.09178 V 136.32655" + id="path297-3" + sodipodi:nodetypes="cc" /> + </g> + <path + style="fill:none;stroke:#000000;stroke-width:0.264583px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" + d="M 80.808147,144.70916 H 41.089734 V 75.797133 h 92.527606" + id="path486" + sodipodi:nodetypes="cccc" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.264583px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" + d="M 93.849207,144.70916 H 133.56763 V 75.812661" + id="path486-6" /> + <text + xml:space="preserve" + style="font-size:10.5833px;line-height:0;font-family:sans-serif;letter-spacing:0px;stroke-width:0.264583" + x="72.92086" + y="156.79892" + id="text627"><tspan + sodipodi:role="line" + id="tspan625" + style="stroke-width:0.264583" + x="72.92086" + y="156.79892">+</tspan></text> + <text + xml:space="preserve" + style="font-size:10.5833px;line-height:0;font-family:sans-serif;letter-spacing:0px;stroke-width:0.264583" + x="98.072708" + y="155.89934" + id="text631"><tspan + sodipodi:role="line" + id="tspan629" + style="stroke-width:0.264583" + x="98.072708" + y="155.89934">-</tspan></text> + <g + id="g1202" + transform="translate(-5.3707653,-1.4151025)"> + <rect + style="fill:#ffffff;fill-opacity:1;stroke:#000000;stroke-width:0.25;stroke-linecap:square" + id="rect641" + width="48.792309" + height="17.173231" + x="68.189201" + y="68.546059" /> + <text + xml:space="preserve" + style="font-size:10.5833px;line-height:0;font-family:sans-serif;letter-spacing:0px;stroke-width:0.264583" + x="72.276009" + y="79.884331" + id="text635"><tspan + sodipodi:role="line" + id="tspan633" + style="stroke-width:0.264583" + x="72.276009" + y="79.884331">Appareil</tspan><tspan + sodipodi:role="line" + style="stroke-width:0.264583" + x="72.276009" + y="79.884331" + id="tspan637" /><tspan + sodipodi:role="line" + style="stroke-width:0.264583" + x="72.276009" + y="79.884331" + id="tspan639" /></text> + </g> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)" + d="M 72.106121,141.29695 H 49.761533" + id="path421" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-3)" + d="M 46.611533,148.2423 H 68.956121" + id="path421-7" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-5)" + d="M 127.82406,141.4244 H 105.47947" + id="path421-2" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-3-5)" + d="m 102.32947,148.36975 h 22.34459" + id="path421-7-9" /> + <text + xml:space="preserve" + style="font-size:3.11375px;line-height:0;font-family:sans-serif;letter-spacing:0px;stroke-width:0.0778439" + x="45.283127" + y="137.48616" + id="text1581"><tspan + sodipodi:role="line" + id="tspan1579" + style="stroke-width:0.0778439" + x="45.283127" + y="137.48616">sens conventionnel</tspan></text> + <text + xml:space="preserve" + style="font-size:3.11375px;line-height:0;font-family:sans-serif;letter-spacing:0px;stroke-width:0.0778439" + x="45.866955" + y="153.84723" + id="text1581-1"><tspan + sodipodi:role="line" + id="tspan1579-2" + style="stroke-width:0.0778439" + x="45.866955" + y="153.84723">sens des électrons</tspan></text> + </g> +</svg> diff --git a/figs/source.svg b/figs/source.svg new file mode 100644 index 0000000..7a9e5fa --- /dev/null +++ b/figs/source.svg @@ -0,0 +1,79 @@ +<?xml version="1.0" encoding="UTF-8" standalone="no"?> +<!-- Created with Inkscape (http://www.inkscape.org/) --> + +<svg + width="27.607174mm" + height="32.983471mm" + viewBox="0 0 27.607174 32.983471" + version="1.1" + id="svg1279" + inkscape:version="1.2.2 (b0a8486541, 2022-12-01)" + sodipodi:docname="source.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="namedview1281" + 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="0.78305976" + inkscape:cx="145.58276" + inkscape:cy="126.42713" + 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="defs1276" /> + <g + inkscape:label="Layer 1" + inkscape:groupmode="layer" + id="layer1" + transform="translate(-66.612798,-115.28301)"> + <g + id="g522" + transform="translate(-6.8372297,-12.934421)"> + <path + style="fill:none;stroke:#000000;stroke-width:0.264583px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" + d="M 80.714235,161.2009 V 128.21743" + id="path297" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.264583px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" + d="M 93.714946,153.09178 V 136.32655" + id="path297-3" + sodipodi:nodetypes="cc" /> + </g> + <text + xml:space="preserve" + style="font-size:10.5833px;line-height:0;font-family:sans-serif;letter-spacing:0px;stroke-width:0.264583" + x="66.083633" + y="143.8645" + id="text627"><tspan + sodipodi:role="line" + id="tspan625" + style="stroke-width:0.264583" + x="66.083633" + y="143.8645">+</tspan></text> + <text + xml:space="preserve" + style="font-size:10.5833px;line-height:0;font-family:sans-serif;letter-spacing:0px;stroke-width:0.264583" + x="91.235481" + y="142.96492" + id="text631"><tspan + sodipodi:role="line" + id="tspan629" + style="stroke-width:0.264583" + x="91.235481" + y="142.96492">-</tspan></text> + </g> +</svg> -- GitLab