From bf93d5e57b0ec716b0ab9bfe579dc5a515d41b4d Mon Sep 17 00:00:00 2001 From: Orestis <orestis.malaspinas@pm.me> Date: Thu, 27 Apr 2023 09:53:36 +0200 Subject: [PATCH] added ex1 --- exercices/circuits.md | 48 ++++++++ exercices/figs/ampoules.svg | 231 ++++++++++++++++++++++++++++++++++++ 2 files changed, 279 insertions(+) create mode 100644 exercices/circuits.md create mode 100644 exercices/figs/ampoules.svg diff --git a/exercices/circuits.md b/exercices/circuits.md new file mode 100644 index 0000000..63027d1 --- /dev/null +++ b/exercices/circuits.md @@ -0,0 +1,48 @@ +--- +# author: +# - Orestis Malaspinas +title: Exercices circuits +subtitle: Courant et circuits électriques +autoSectionLabels: true +autoEqnLabels: false +eqnPrefix: + - "éq." + - "éqs." +chapters: true +numberSections: true +chaptersDepth: 1 +sectionsDepth: 3 +lang: fr +documentclass: article +papersize: A4 +cref: false +pandoc-numbering: + - category: exercice +urlcolor: blue +--- +\newcommand{\m}{\mathrm{m}} +\newcommand{\C}{\mathrm{C}} +\newcommand{\V}{\mathrm{V}} +\newcommand{\mm}{\mathrm{mm}} +\newcommand{\cm}{\mathrm{cm}} + +# Préambule + +Faites les exercices **SANS** lire les réponses. + +# Problèmes divers {#unidim .unnumbered} + +Exercice (Luminosité d'ampoules) # + +Soit le circuit de la @fig:ampoules où les trois ampoules on la même résistance $R$. + +1. Quand l'interrupteur est en position fermée, classer les ampoules en fonction de leur luminosité. +2. Que se passe-t-il quand l'interrupteur est ouvert? Que devient la luminosité des ampoules? + +{#fig:ampoules width=50%} + +Corrigé (Luminosité d'ampoules) # + +1. Quand l'interrupteur est fermé, le courant passant dans $C$ est séparé en deux parties égales pour passer dans $A$ et $B$, car leurs résistances sont égales. Ainsi, $A$ et $B$ auront la même luminosité, mais brilleront moins que $C$ qui a un courant plus important. +2. Quand on ouvre l'interrupteur, l'ampoule $A$ ne sera plus alimentée en courant. On a donc que le courant passera uniquement par $B$ et le circuit sera équivalent à avoir uniquement deux ampoules en série. La résistance équivalente de ce circuit ($=2R$) sera plus grande que celle du circuit avec l'interrupteur fermé ($=3R/2$). Ainsi en fermant l'interrupteur on diminue le courant sortant de la batterie passant par $C$ qui sera moins lumineuse. En revanche, $B$ va recevoir plus de courant que dans le cas où l'interrupteur est fermé. Elle brillera donc plus. Aussi comme $C$ et $B$ ont la même résistance, elles auront la même luminosité. + diff --git a/exercices/figs/ampoules.svg b/exercices/figs/ampoules.svg new file mode 100644 index 0000000..86826de --- /dev/null +++ b/exercices/figs/ampoules.svg @@ -0,0 +1,231 @@ +<?xml version="1.0" encoding="UTF-8" standalone="no"?> +<!-- Created with Inkscape (http://www.inkscape.org/) --> + +<svg + width="128.27577mm" + height="126.30444mm" + viewBox="0 0 128.27577 126.30444" + version="1.1" + id="svg626" + inkscape:version="1.2.2 (b0a8486541, 2022-12-01)" + sodipodi:docname="ampoules.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" + 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