{"id":209982,"date":"2024-10-18T20:51:11","date_gmt":"2024-10-18T20:51:11","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/?p=209982"},"modified":"2024-10-18T20:51:11","modified_gmt":"2024-10-18T20:51:11","slug":"quest-ce-que-la-loi-des-tensions-de-kirchhoff-kvl","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/fr\/quest-ce-que-la-loi-des-tensions-de-kirchhoff-kvl\/","title":{"rendered":"Qu&rsquo;est-ce que la loi des tensions de Kirchhoff (KVL) ?"},"content":{"rendered":"<p class=\"sidekick\">La loi des tensions de Kirchhoff (KVL) en thermal engineering: principes de base, applications pratiques et importance pour l&rsquo;analyse des circuits \u00e9lectriques.<\/p>\n<h2>Qu&rsquo;est-ce que la loi des tensions de Kirchhoff (KVL) ?<\/h2>\n<p>La loi des tensions de Kirchhoff (en anglais Kirchhoff&rsquo;s Voltage Law, KVL) est une r\u00e8gle fondamentale en \u00e9lectricit\u00e9, particuli\u00e8rement utilis\u00e9e en ing\u00e9nierie \u00e9lectrique et \u00e9lectronique. Cette loi permet d&rsquo;analyser des circuits \u00e9lectriques en d\u00e9terminant les tensions pr\u00e9sentes dans chaque branche d&rsquo;un circuit.<\/p>\n<p>KVL stipule que la somme alg\u00e9brique des tensions dans n&rsquo;importe quelle boucle ferm\u00e9e d&rsquo;un circuit \u00e9lectrique est \u00e9gale \u00e0 z\u00e9ro. Cela signifie qu&rsquo;en suivant un chemin ferm\u00e9 autour du circuit, les augmentations de tension (g\u00e9n\u00e9rateur, sources) et les diminutions de tension (r\u00e9sistances, charges) se compensent.<\/p>\n<ul>\n<li>Formellement, KVL peut \u00eatre exprim\u00e9e par l&rsquo;\u00e9quation :<\/li>\n<\/ul>\n<p>\\(\\sum_{k=1}^{n} V_k = 0\\)<\/p>\n<p>o\u00f9 \\(V_k\\) repr\u00e9sente la tension \u00e0 travers le k<sub>\u00e8me<\/sub> \u00e9l\u00e9ment du circuit.<\/p>\n<h2>Origine de la loi des tensions de Kirchhoff<\/h2>\n<p>Cette r\u00e8gle vient des principes de conservation de l&rsquo;\u00e9nergie. \u00c9tablie par Gustav Kirchhoff, un physicien allemand, en 1845, la loi des tensions est l&rsquo;une des deux lois de Kirchhoff, l&rsquo;autre \u00e9tant la loi des courants (KCL).<\/p>\n<h2>Exemple pratique de KVL<\/h2>\n<p>Consid\u00e9rons un circuit simple compos\u00e9 d&rsquo;une source de tension \\(V\\), et de deux r\u00e9sistances \\(R_1\\) et \\(R_2\\) connect\u00e9es en s\u00e9rie. Selon KVL, la somme des tensions \u00e0 travers la source et les r\u00e9sistances doit \u00eatre \u00e9gale \u00e0 z\u00e9ro :<\/p>\n<p>\\(V &#8211; V_{R_1} &#8211; V_{R_2} = 0\\)<\/p>\n<p>o\u00f9 :<\/p>\n<ul>\n<li>\\(V\\) est la tension de la source.<\/li>\n<li>\\(V_{R_1}\\) est la chute de tension \u00e0 travers \\(R_1\\).<\/li>\n<li>\\(V_{R_2}\\) est la chute de tension \u00e0 travers \\(R_2\\).<\/li>\n<\/ul>\n<p>En utilisant la loi d&rsquo;Ohm (V = IR), nous pouvons \u00e9crire les chutes de tension sur chaque r\u00e9sistance :<\/p>\n<p>\\(V_{R_1} = I \\cdot R_1\\)<\/p>\n<p>\\(V_{R_2} = I \\cdot R_2\\)<\/p>\n<p>En substituant ces valeurs dans l&rsquo;\u00e9quation de KVL, nous obtenons :<\/p>\n<p>\\(V &#8211; I \\cdot R_1 &#8211; I \\cdot R_2 = 0\\)<\/p>\n<p>Ce qui peut \u00eatre r\u00e9arrang\u00e9 pour trouver le courant \\(I\\) dans le circuit :<\/p>\n<p>\\(I = \\frac{V}{R_1 + R_2}\\)<\/p>\n<h2>Utilit\u00e9 de KVL<\/h2>\n<p>La loi des tensions de Kirchhoff est essentielle pour les ing\u00e9nieurs et les techniciens travaillant avec des circuits \u00e9lectriques. Elle permet de :<\/p>\n<ol>\n<li>Analyser des circuits complexes en les d\u00e9composant en boucles.<\/li>\n<li>Identifier les valeurs de tensions et de courants inconnus.<\/li>\n<li>Concevoir et tester des syst\u00e8mes \u00e9lectroniques de mani\u00e8re efficace.<\/li>\n<\/ol>\n<p>En conclusion, la loi des tensions de Kirchhoff nous donne un outil puissant pour comprendre et r\u00e9soudre les syst\u00e8mes \u00e9lectriques, assurant que l&rsquo;\u00e9nergie est conserv\u00e9e dans tout circuit, quelle que soit sa complexit\u00e9.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>La loi des tensions de Kirchhoff (KVL) en thermal engineering: principes de base, applications pratiques et importance pour l&rsquo;analyse des circuits \u00e9lectriques.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_generate-full-width-content":"","footnotes":""},"categories":[98],"tags":[],"class_list":["post-209982","post","type-post","status-publish","format-standard","hentry","category-des-questions","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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