{"id":19580,"date":"2026-04-26T05:35:13","date_gmt":"2026-04-26T05:35:13","guid":{"rendered":"https:\/\/risentric.com\/rms-vs-crete-partie-iii-comment-la-loi-de-joule-mene-a-la-valeur-rms\/"},"modified":"2026-04-26T09:53:22","modified_gmt":"2026-04-26T09:53:22","slug":"rms-vs-crete-partie-iii-comment-la-loi-de-joule-mene-a-la-valeur-rms","status":"publish","type":"post","link":"https:\/\/risentric.com\/fr\/rms-vs-crete-partie-iii-comment-la-loi-de-joule-mene-a-la-valeur-rms\/","title":{"rendered":"RMS vs Cr\u00eate &#8211; Partie III : Comment la loi de Joule m\u00e8ne \u00e0 la valeur RMS"},"content":{"rendered":"\n<div class=\"wp-block-uagb-container uagb-block-2cee0d23 alignfull uagb-is-root-container\"><div class=\"uagb-container-inner-blocks-wrap\">\n<p class=\"has-ast-global-color-0-color has-text-color has-link-color wp-elements-19f56a00f32e2f1b6d8fc1b5d9d71a74\"><strong>Veuillez noter : <\/strong>cet article est \u00e0 vocation acad\u00e9mique et s\u2019adresse aux lecteurs souhaitant une explication technique plus approfondie.<br\/><strong>Niveau :<\/strong> Avanc\u00e9<\/p>\n\n\n\n<p>Dans la <strong><a href=\"https:\/\/risentric.com\/fr\/rms-vs-crete-partie-i-difference-entre-la-tension-et-le-courant\/\">Partie I<\/a><\/strong>, nous avons expliqu\u00e9 la diff\u00e9rence fondamentale entre RMS et cr\u00eate. Dans la <strong><a href=\"https:\/\/risentric.com\/fr\/rms-vs-crete-partie-ii-pourquoi-les-deux-sont-importants-dans-le-courant-de-court-circuit\/\">Partie II<\/a><\/strong>, nous avons montr\u00e9 que les contraintes thermiques et m\u00e9caniques comptent toutes deux dans le courant de court-circuit. Dans ce troisi\u00e8me article, nous allons un peu plus loin pour r\u00e9pondre \u00e0 la question la plus fondamentale :  <\/p>\n\n\n\n<p><strong>Pourquoi la valeur RMS existe-t-elle au juste ?<\/strong><br\/><strong>\u2014 La r\u00e9ponse vient de la loi de Joule.<\/strong><\/p>\n\n\n\t\t\t\t<div class=\"wp-block-uagb-table-of-contents uagb-toc__align-left uagb-toc__columns-1 uagb-toc__collapse uagb-block-92646356      uagb-toc__collapse--list\"\n\t\t\t\t\tdata-scroll= \"1\"\n\t\t\t\t\tdata-offset= \"30\"\n\t\t\t\t\tstyle=\"\"\n\t\t\t\t>\n\t\t\t\t<div class=\"uagb-toc__wrap\">\n\t\t\t\t\t\t<div class=\"uagb-toc__title\">\n\t\t\t\t\t\t\t<strong>Table of Contents<\/strong>\t\t\t\t\t\t\t\t\t\t\t\t\t<svg xmlns=\"https:\/\/www.w3.org\/2000\/svg\" viewBox= \"0 0 384 512\"><path d=\"M192 384c-8.188 0-16.38-3.125-22.62-9.375l-160-160c-12.5-12.5-12.5-32.75 0-45.25s32.75-12.5 45.25 0L192 306.8l137.4-137.4c12.5-12.5 32.75-12.5 45.25 0s12.5 32.75 0 45.25l-160 160C208.4 380.9 200.2 384 192 384z\"><\/path><\/svg>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"uagb-toc__list-wrap uagb-toc__list-hidden\">\n\t\t\t\t\t\t<ol class=\"uagb-toc__list\"><li class=\"uagb-toc__list \"><a href=\"#loi-de-joule-lorigine-physique-de-la-valeur-rms\" class=\"uagb-toc-link__trigger\">Loi de Joule : l\u2019origine physique de la valeur RMS<\/a><li class=\"uagb-toc__list \"><a href=\"#pourquoi-la-valeur-rms-nest-pas-une-moyenne-normale\" class=\"uagb-toc-link__trigger\">Pourquoi la valeur RMS n\u2019est pas une moyenne normale<\/a><li class=\"uagb-toc__list \"><a href=\"#de-l\u00e9chauffement-instantan\u00e9-de-la-r\u00e9sistance-\u00e0-la-formule-rms\" class=\"uagb-toc-link__trigger\">De l\u2019\u00e9chauffement instantan\u00e9 de la r\u00e9sistance \u00e0 la formule RMS<\/a><li class=\"uagb-toc__list \"><a href=\"#ce-que-cette-d\u00e9rivation-signifie-physiquement\" class=\"uagb-toc-link__trigger\">Ce que cette d\u00e9rivation signifie physiquement<\/a><li class=\"uagb-toc__list \"><a href=\"#une-comparaison-simple-cc-onde-sinuso\u00efdale-et-onde-carr\u00e9e\" class=\"uagb-toc-link__trigger\">Une comparaison simple : CC, onde sinuso\u00efdale et onde carr\u00e9e<\/a><li class=\"uagb-toc__list \"><a href=\"#pourquoi-cela-est-important-dans-ling\u00e9nierie-pratique\" class=\"uagb-toc-link__trigger\">Pourquoi cela est important dans l\u2019ing\u00e9nierie pratique<\/a><li class=\"uagb-toc__list \"><a href=\"#conclusion-finale\" class=\"uagb-toc-link__trigger\">Conclusion finale<\/a><li class=\"uagb-toc__list uagb-toc__list--expandable\"><span class=\"list-open\" role=\"button\" tabindex=\"0\" aria-expanded=\"true\"><\/span><a href=\"#faq\" class=\"uagb-toc-link__trigger\">FAQ<\/a><ul class=\"uagb-toc__list\"><li class=\"uagb-toc__list \"><a href=\"#pourquoi-la-valeur-rms-est-elle-appel\u00e9e-valeur-efficace\" class=\"uagb-toc-link__trigger\">Pourquoi la valeur RMS est-elle appel\u00e9e valeur efficace ?<\/a><li class=\"uagb-toc__list\"><li class=\"uagb-toc__list \"><a href=\"#pourquoi-la-valeur-rms-est-elle-plus-utile-que-la-moyenne-pour-le-ca\" class=\"uagb-toc-link__trigger\">Pourquoi la valeur RMS est-elle plus utile que la moyenne pour le CA ?<\/a><li class=\"uagb-toc__list\"><li class=\"uagb-toc__list \"><a href=\"#la-tension-de-cr\u00eate-d\u00e9termine-t-elle-l\u00e9chauffement\" class=\"uagb-toc-link__trigger\">La tension de cr\u00eate d\u00e9termine-t-elle l\u2019\u00e9chauffement ?<\/a><li class=\"uagb-toc__list\"><li class=\"uagb-toc__list \"><a href=\"#pourquoi-une-onde-sinuso\u00efdale-a-t-elle-une-valeur-rms-inf\u00e9rieure-\u00e0-sa-cr\u00eate\" class=\"uagb-toc-link__trigger\">Pourquoi une onde sinuso\u00efdale a-t-elle une valeur RMS inf\u00e9rieure \u00e0 sa cr\u00eate ?<\/a><li class=\"uagb-toc__list\"><li class=\"uagb-toc__list \"><a href=\"#quand-la-valeur-rms-est-elle-\u00e9gale-\u00e0-la-cr\u00eate\" class=\"uagb-toc-link__trigger\">Quand la valeur RMS est-elle \u00e9gale \u00e0 la cr\u00eate ?<\/a><\/ul><\/ol>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<div class=\"wp-block-uagb-container uagb-layout-grid uagb-block-ed57b8d3\">\n<div class=\"wp-block-uagb-container uagb-block-56b94eca\">\n<div class=\"wp-block-uagb-image uagb-block-734d3bbc wp-block-uagb-image--layout-default wp-block-uagb-image--effect-static wp-block-uagb-image--align-none\"><figure class=\"wp-block-uagb-image__figure\"><img decoding=\"async\" srcset=\"https:\/\/risentric.com\/wp-content\/uploads\/2026\/04\/Risentric-Products-1-1024x576.webp ,https:\/\/risentric.com\/wp-content\/uploads\/2026\/04\/Risentric-Products-1.webp 780w, https:\/\/risentric.com\/wp-content\/uploads\/2026\/04\/Risentric-Products-1.webp 360w\" sizes=\"auto, (max-width: 480px) 150px\" src=\"https:\/\/risentric.com\/wp-content\/uploads\/2026\/04\/Risentric-Products-1-1024x576.webp\" alt=\"Produits Risentric\" class=\"uag-image-18214\" width=\"325\" height=\"182\" title=\"Produits Risentric\" loading=\"lazy\" role=\"img\"><\/figure><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-uagb-container uagb-block-f77c9567\">\n<p class=\"has-text-align-left\" style=\"font-style:italic;font-weight:800;text-transform:capitalize\"><strong><strong>Vous recherchez un appareillage de commutation et un tableau de distribution test\u00e9s en usine pour votre projet ?  <\/strong><\/strong><\/p>\n\n\n\n<div class=\"wp-block-uagb-buttons uagb-buttons__outer-wrap uagb-btn__large-btn uagb-btn-tablet__default-btn uagb-btn-mobile__default-btn uagb-block-514bd3be\"><div class=\"uagb-buttons__wrap uagb-buttons-layout-wrap \">\n<div class=\"wp-block-uagb-buttons-child uagb-buttons__outer-wrap uagb-block-b8a622e6 wp-block-button\"><div class=\"uagb-button__wrapper\"><a class=\"uagb-buttons-repeater wp-block-button__link\" aria-label=\"\" href=\"https:\/\/risentric.com\/fr\/produits-et-services\/appareillage-armoire-panneau\/distribution-basse-tension\/\" rel=\"follow noopener\" target=\"_self\" role=\"button\"><div class=\"uagb-button__link\"><strong>D\u00e9couvrez nos solutions d\u2019appareillage de commutation\/tableau de distribution.<\/strong><\/div><span class=\"uagb-button__icon uagb-button__icon-position-after\"><svg xmlns=\"https:\/\/www.w3.org\/2000\/svg\" viewbox=\"0 0 448 512\" aria-hidden=\"true\" focussable=\"false\"><path d=\"M438.6 278.6l-160 160C272.4 444.9 264.2 448 256 448s-16.38-3.125-22.62-9.375c-12.5-12.5-12.5-32.75 0-45.25L338.8 288H32C14.33 288 .0016 273.7 .0016 256S14.33 224 32 224h306.8l-105.4-105.4c-12.5-12.5-12.5-32.75 0-45.25s32.75-12.5 45.25 0l160 160C451.1 245.9 451.1 266.1 438.6 278.6z\"><\/path><\/svg><\/span><\/a><\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">Loi de Joule : l\u2019origine physique de la valeur RMS<\/h3>\n\n\n\n<div class=\"wp-block-uagb-image uagb-block-e9b7ff09 wp-block-uagb-image--layout-default wp-block-uagb-image--effect-static wp-block-uagb-image--align-none\"><figure class=\"wp-block-uagb-image__figure\"><img decoding=\"async\" srcset=\"https:\/\/risentric.com\/wp-content\/uploads\/2026\/04\/Joules-law-the-physical-origin-of-RMS-1024x683.webp ,https:\/\/risentric.com\/wp-content\/uploads\/2026\/04\/Joules-law-the-physical-origin-of-RMS.webp 780w, https:\/\/risentric.com\/wp-content\/uploads\/2026\/04\/Joules-law-the-physical-origin-of-RMS.webp 360w\" sizes=\"auto, (max-width: 480px) 150px\" src=\"https:\/\/risentric.com\/wp-content\/uploads\/2026\/04\/Joules-law-the-physical-origin-of-RMS-1024x683.webp\" alt=\"Loi de Joule : l\u2019origine physique de la valeur RMS\" class=\"uag-image-19556\" width=\"600\" height=\"400\" title=\"Loi de Joule : l\u2019origine physique de la valeur RMS\" loading=\"lazy\" role=\"img\"><\/figure><\/div>\n\n\n\n<p>Bien avant que \u00ab RMS \u00bb ne devienne un terme technique standard, <strong>James Prescott Joule<\/strong> a d\u00e9montr\u00e9 que le courant \u00e9lectrique produit de la chaleur dans un conducteur, et que cet \u00e9chauffement d\u00e9pend fortement du courant lui-m\u00eame. Ses travaux ont \u00e9tabli ce que nous appelons aujourd\u2019hui la <strong>loi de Joule<\/strong> : pour une r\u00e9sistance, la chaleur g\u00e9n\u00e9r\u00e9e au fil du temps d\u00e9pend de la r\u00e9sistance, du carr\u00e9 du courant et de la dur\u00e9e. <\/p>\n\n\n\n<p>Sous forme simplifi\u00e9e :<\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>Chaleur \u221d I\u00b2Rt<\/strong><\/p>\n\n\n\n<p>Dans la pratique de l\u2019ing\u00e9nierie, cela s\u2019\u00e9crit g\u00e9n\u00e9ralement sous forme de puissance :<\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>P = I\u00b2R<\/strong><\/p>\n\n\n\n<p>En utilisant la loi d\u2019Ohm, la m\u00eame relation peut \u00e9galement s\u2019\u00e9crire :<\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>P = V\u00b2 \/ R<\/strong><br\/><strong>P = VI<\/strong><\/p>\n\n\n\n<p>Pour une charge purement r\u00e9sistive, ces expressions d\u00e9crivent le m\u00eame \u00e9v\u00e9nement physique : l\u2019\u00e9nergie \u00e9lectrique est convertie en chaleur.<\/p>\n\n\n\n<p>C\u2019est le point cl\u00e9 pour la valeur RMS.<\/p>\n\n\n\n<p>L\u2019effet thermique n\u2019est <strong>pas<\/strong> proportionnel au courant lui-m\u00eame. Il est proportionnel au <strong>courant au carr\u00e9<\/strong>. Une fois ce comportement quadratique \u00e9tabli, le chemin vers la valeur RMS commence naturellement.  <\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Pourquoi la valeur RMS n\u2019est pas une moyenne normale<\/h3>\n\n\n\n<p><strong>Comme nous l\u2019avons vu dans la <a href=\"https:\/\/risentric.com\/fr\/rms-vs-crete-partie-ii-pourquoi-les-deux-sont-importants-dans-le-courant-de-court-circuit\/\">Partie II<\/a>, l\u2019\u00e9chauffement d\u2019une r\u00e9sistance d\u00e9pend du carr\u00e9 du courant, donc l\u2019effet thermique d\u2019une forme d\u2019onde alternative ne peut pas \u00eatre saisi par une simple moyenne sign\u00e9e.<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">De l\u2019\u00e9chauffement instantan\u00e9 de la r\u00e9sistance \u00e0 la formule RMS<\/h3>\n\n\n\n<div class=\"wp-block-uagb-image uagb-block-7b57bf4f wp-block-uagb-image--layout-default wp-block-uagb-image--effect-static wp-block-uagb-image--align-none\"><figure class=\"wp-block-uagb-image__figure\"><img decoding=\"async\" srcset=\"https:\/\/risentric.com\/wp-content\/uploads\/2026\/04\/From-instantaneous-resistor-heating-to-the-RMS-formula-1024x683.webp ,https:\/\/risentric.com\/wp-content\/uploads\/2026\/04\/From-instantaneous-resistor-heating-to-the-RMS-formula.webp 780w, https:\/\/risentric.com\/wp-content\/uploads\/2026\/04\/From-instantaneous-resistor-heating-to-the-RMS-formula.webp 360w\" sizes=\"auto, (max-width: 480px) 150px\" src=\"https:\/\/risentric.com\/wp-content\/uploads\/2026\/04\/From-instantaneous-resistor-heating-to-the-RMS-formula-1024x683.webp\" alt=\"De l\u2019\u00e9chauffement instantan\u00e9 de la r\u00e9sistance \u00e0 la formule RMS\" class=\"uag-image-19553\" width=\"600\" height=\"400\" title=\"De l\u2019\u00e9chauffement instantan\u00e9 de la r\u00e9sistance \u00e0 la formule RMS\" loading=\"lazy\" role=\"img\"><\/figure><\/div>\n\n\n\n<p><strong>Parce que l\u2019\u00e9chauffement r\u00e9sistif d\u00e9pend du carr\u00e9 du courant, une moyenne ordinaire ne suffit pas. Pour comprendre pourquoi la formule RMS prend cette forme sp\u00e9cifique, nous devons partir de l\u2019\u00e9chauffement instantan\u00e9 de la r\u00e9sistance, puis faire la moyenne de cet effet dans le temps. <\/strong><\/p>\n\n\n\n<p>Soit une r\u00e9sistance parcourue par un courant variable dans le temps <strong>i(t)<\/strong>.<\/p>\n\n\n\n<p>La puissance thermique <strong>instantan\u00e9e<\/strong> est :<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size\"><strong>p(t) = i\u00b2(t)R<\/strong><\/p>\n\n\n\n<p>Si nous voulons l\u2019effet thermique moyen sur un intervalle de temps <strong>T<\/strong>, nous calculons la moyenne de la puissance :<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size\"><strong>Pmoy = (1\/T) \u222b p(t) dt<\/strong><\/p>\n\n\n\n<p>En rempla\u00e7ant par <strong>p(t) = i\u00b2(t)R<\/strong>, on obtient :<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size\"><strong>Pmoy = (1\/T) \u222b i\u00b2(t)R dt<\/strong><\/p>\n\n\n\n<p>Puisque <strong>R<\/strong> est constante :<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size\"><strong>Pmoy = R \u00b7 (1\/T) \u222b i\u00b2(t) dt<\/strong><\/p>\n\n\n\n<p>D\u00e9finissons maintenant un courant continu qui produirait le m\u00eame \u00e9chauffement moyen dans la m\u00eame r\u00e9sistance. Appelons-le <strong>IRMS<\/strong>. Alors :  <\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size\"><strong>Pmoy = I\u00b2RMS \u00b7 R<\/strong><\/p>\n\n\n\n<p>Ainsi :<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size\"><strong>IRMS = \u221a[(1\/T) \u222b i\u00b2(t) dt]<\/strong><\/p>\n\n\n\n<p>C\u2019est la d\u00e9finition de la valeur RMS.<\/p>\n\n\n\n<p>En utilisant la m\u00eame logique pour la tension :<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size\"><strong>VRMS = \u221a[(1\/T) \u222b v\u00b2(t) dt]<\/strong><\/p>\n\n\n\n<p>Ainsi, la valeur RMS n\u2019est pas seulement une description de forme d\u2019onde. C\u2019est la <strong>valeur CC \u00e9quivalente en termes d\u2019\u00e9chauffement<\/strong>. <\/p>\n\n\n\n<p><strong>C\u2019est aussi pourquoi la d\u00e9rivation utilise naturellement le calcul int\u00e9gral. L\u2019effet Joule est d\u00e9fini \u00e0 chaque instant, et l\u2019effet total au fil du temps est trouv\u00e9 en accumulant ces contributions instantan\u00e9es. La valeur RMS \u00e9merge lorsque cet effet thermique accumul\u00e9 est converti en une valeur CC \u00e9quivalente.  <\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Ce que cette d\u00e9rivation signifie physiquement<\/h3>\n\n\n\n<div class=\"wp-block-uagb-image uagb-block-fbcf15bc wp-block-uagb-image--layout-default wp-block-uagb-image--effect-static wp-block-uagb-image--align-none\"><figure class=\"wp-block-uagb-image__figure\"><img decoding=\"async\" srcset=\"https:\/\/risentric.com\/wp-content\/uploads\/2026\/04\/What-this-derivation-means-physically-1024x683.webp ,https:\/\/risentric.com\/wp-content\/uploads\/2026\/04\/What-this-derivation-means-physically.webp 780w, https:\/\/risentric.com\/wp-content\/uploads\/2026\/04\/What-this-derivation-means-physically.webp 360w\" sizes=\"auto, (max-width: 480px) 150px\" src=\"https:\/\/risentric.com\/wp-content\/uploads\/2026\/04\/What-this-derivation-means-physically-1024x683.webp\" alt=\"Ce que cette d\u00e9rivation signifie physiquement\" class=\"uag-image-19565\" width=\"600\" height=\"400\" title=\"Ce que cette d\u00e9rivation signifie physiquement\" loading=\"lazy\" role=\"img\"><\/figure><\/div>\n\n\n\n<p>La d\u00e9rivation ci-dessus donne plus qu\u2019une formule. Elle donne la signification physique de la valeur RMS. <\/p>\n\n\n\n<p><strong>La valeur RMS est la valeur CC qui produirait le m\u00eame \u00e9chauffement Joule moyen dans une r\u00e9sistance que la forme d\u2019onde variable d\u2019origine.<\/strong><\/p>\n\n\n\n<p>C\u2019est pourquoi la valeur RMS est souvent appel\u00e9e la <strong>valeur efficace<\/strong>.<\/p>\n\n\n\n<p>Vue ainsi, la logique est naturellement bas\u00e9e sur le calcul : nous partons de l\u2019\u00e9chauffement \u00e0 chaque instant, nous accumulons cet effet dans le temps, puis nous exprimons le r\u00e9sultat sous forme de valeur CC \u00e9quivalente.<\/p>\n\n\n\n<p>C\u2019est aussi pourquoi la valeur RMS est si importante dans l\u2019ing\u00e9nierie r\u00e9elle. Lorsqu\u2019il s\u2019agit de l\u2019<strong>effet thermique<\/strong>, la quantit\u00e9 qui compte n\u2019est ni la moyenne sign\u00e9e, ni simplement la cr\u00eate. <strong>C\u2019est la valeur qui reproduit le m\u00eame comportement thermique accumul\u00e9.<\/strong> <\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Une comparaison simple : CC, onde sinuso\u00efdale et onde carr\u00e9e<\/h3>\n\n\n\n<p>Un exemple rapide permet de mieux visualiser cela.<\/p>\n\n\n\n<p>Supposons que la r\u00e9sistance soit de <strong>1 \u03a9<\/strong>, et comparons trois formes d\u2019onde avec une valeur de cr\u00eate de <strong>10 V<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Forme d\u2019onde<\/th><th>Valeur de cr\u00eate<\/th><th>Valeur RMS<\/th><th>Puissance thermique moyenne dans 1 \u03a9<\/th><\/tr><\/thead><tbody><tr><td>CC<\/td><td>10 V<\/td><td>10 V<\/td><td>100 W<\/td><\/tr><tr><td>Onde sinuso\u00efdale<\/td><td>10 V<\/td><td>7,07 V<\/td><td>50 W<\/td><\/tr><tr><td>Onde carr\u00e9e<\/td><td>10 V<\/td><td>10 V<\/td><td>100 W<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Cette comparaison r\u00e9v\u00e8le la v\u00e9ritable signification de la valeur RMS.<\/p>\n\n\n\n<p class=\"has-text-align-center\">Note : <strong>P = I\u00b2R<\/strong><\/p>\n\n\n\n<p>Une source <strong>CC de 10 V<\/strong> produit 100 W de chaleur dans une r\u00e9sistance de 1 \u03a9.<\/p>\n\n\n\n<p>Une <strong>onde sinuso\u00efdale de 10 V cr\u00eate<\/strong> ne produit pas le m\u00eame \u00e9chauffement, car elle n\u2019atteint 10 V que momentan\u00e9ment. Sa valeur RMS n\u2019est que de <strong>7,07 V<\/strong>, sa puissance thermique moyenne est donc de <strong>50 W<\/strong>. <\/p>\n\n\n\n<p>Une <strong>onde carr\u00e9e de \u00b110 V<\/strong>, en revanche, reste \u00e0 son amplitude maximale tout au long du cycle, sa valeur RMS est donc de <strong>10 V<\/strong>, soit la m\u00eame que le CC. Cela signifie qu\u2019elle produit la m\u00eame puissance thermique moyenne qu\u2019une tension CC de 10 V. <\/p>\n\n\n\n<p>C\u2019est pr\u00e9cis\u00e9ment pourquoi la valeur RMS est plus utile que la cr\u00eate lorsque la pr\u00e9occupation technique est l\u2019<strong>\u00e9chauffement<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Pourquoi cela est important dans l\u2019ing\u00e9nierie pratique<\/h3>\n\n\n\n<div class=\"wp-block-uagb-image uagb-block-86dce328 wp-block-uagb-image--layout-default wp-block-uagb-image--effect-static wp-block-uagb-image--align-none\"><figure class=\"wp-block-uagb-image__figure\"><img decoding=\"async\" srcset=\"https:\/\/risentric.com\/wp-content\/uploads\/2026\/04\/Why-this-matters-in-practical-engineering-1024x683.webp ,https:\/\/risentric.com\/wp-content\/uploads\/2026\/04\/Why-this-matters-in-practical-engineering.webp 780w, https:\/\/risentric.com\/wp-content\/uploads\/2026\/04\/Why-this-matters-in-practical-engineering.webp 360w\" sizes=\"auto, (max-width: 480px) 150px\" src=\"https:\/\/risentric.com\/wp-content\/uploads\/2026\/04\/Why-this-matters-in-practical-engineering-1024x683.webp\" alt=\"Pourquoi cela est important dans l\u2019ing\u00e9nierie pratique\" class=\"uag-image-19562\" width=\"600\" height=\"400\" title=\"Pourquoi cela est important dans l\u2019ing\u00e9nierie pratique\" loading=\"lazy\" role=\"img\"><\/figure><\/div>\n\n\n\n<p>Cette distinction n\u2019est pas seulement th\u00e9orique.<\/p>\n\n\n\n<p>En g\u00e9nie \u00e9lectrique, la valeur RMS est g\u00e9n\u00e9ralement la quantit\u00e9 la plus significative lors de l\u2019\u00e9valuation de :<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>l\u2019\u00e9chauffement du conducteur<\/li>\n\n\n\n<li>la charge des c\u00e2bles<\/li>\n\n\n\n<li>l\u2019\u00e9l\u00e9vation de temp\u00e9rature des jeux de barres<\/li>\n\n\n\n<li>la dissipation des r\u00e9sistances<\/li>\n\n\n\n<li>le courant nominal continu<\/li>\n<\/ul>\n\n\n\n<p>La cr\u00eate reste importante, mais pour une raison diff\u00e9rente. Elle est plus pertinente lorsque la pr\u00e9occupation est la <strong>contrainte instantan\u00e9e maximale<\/strong>, telle que la contrainte m\u00e9canique de courte dur\u00e9e ou la contrainte d\u2019isolement. <\/p>\n\n\n\n<p>Ainsi, la fa\u00e7on la plus simple de les s\u00e9parer est la suivante :<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>La <strong>Cr\u00eate<\/strong> vous indique jusqu\u2019o\u00f9 la forme d\u2019onde monte \u00e0 un instant donn\u00e9<\/li>\n\n\n\n<li>La valeur <strong>RMS<\/strong> vous indique la valeur efficace \u00e9quivalente en termes d\u2019\u00e9chauffement au fil du temps<\/li>\n<\/ul>\n\n\n\n<p>C\u2019est pourquoi les deux quantit\u00e9s apparaissent dans la conception \u00e9lectrique, mais elles ne sont pas interchangeables.<\/p>\n\n\n\n<div class=\"wp-block-uagb-container uagb-layout-grid uagb-block-a38d1595\">\n<div class=\"wp-block-uagb-container uagb-block-e2dd14bb\">\n<div class=\"wp-block-uagb-image uagb-block-27d07a02 wp-block-uagb-image--layout-default wp-block-uagb-image--effect-static wp-block-uagb-image--align-none\"><figure class=\"wp-block-uagb-image__figure\"><img decoding=\"async\" srcset=\"https:\/\/risentric.com\/wp-content\/uploads\/2026\/04\/Risentric-Products-1-1024x576.webp ,https:\/\/risentric.com\/wp-content\/uploads\/2026\/04\/Risentric-Products-1.webp 780w, https:\/\/risentric.com\/wp-content\/uploads\/2026\/04\/Risentric-Products-1.webp 360w\" sizes=\"auto, (max-width: 480px) 150px\" src=\"https:\/\/risentric.com\/wp-content\/uploads\/2026\/04\/Risentric-Products-1-1024x576.webp\" alt=\"Produits Risentric\" class=\"uag-image-18214\" width=\"325\" height=\"182\" title=\"Produits Risentric\" loading=\"lazy\" role=\"img\"><\/figure><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-uagb-container uagb-block-b60b22a9\">\n<p class=\"has-text-align-left\" style=\"font-style:italic;font-weight:800;text-transform:capitalize\"><strong><strong>Vous recherchez un appareillage de commutation et un tableau de distribution test\u00e9s en usine pour votre projet ?  <\/strong><\/strong><\/p>\n\n\n\n<div class=\"wp-block-uagb-buttons uagb-buttons__outer-wrap uagb-btn__large-btn uagb-btn-tablet__default-btn uagb-btn-mobile__default-btn uagb-block-654c7bbe\"><div class=\"uagb-buttons__wrap uagb-buttons-layout-wrap \">\n<div class=\"wp-block-uagb-buttons-child uagb-buttons__outer-wrap uagb-block-5a5f5a82 wp-block-button\"><div class=\"uagb-button__wrapper\"><a class=\"uagb-buttons-repeater wp-block-button__link\" aria-label=\"\" href=\"https:\/\/risentric.com\/fr\/produits-et-services\/appareillage-armoire-panneau\/distribution-basse-tension\/\" rel=\"follow noopener\" target=\"_self\" role=\"button\"><div class=\"uagb-button__link\"><strong>D\u00e9couvrez nos solutions d\u2019appareillage de commutation\/tableau de distribution.<\/strong><\/div><span class=\"uagb-button__icon uagb-button__icon-position-after\"><svg xmlns=\"https:\/\/www.w3.org\/2000\/svg\" viewbox=\"0 0 448 512\" aria-hidden=\"true\" focussable=\"false\"><path d=\"M438.6 278.6l-160 160C272.4 444.9 264.2 448 256 448s-16.38-3.125-22.62-9.375c-12.5-12.5-12.5-32.75 0-45.25L338.8 288H32C14.33 288 .0016 273.7 .0016 256S14.33 224 32 224h306.8l-105.4-105.4c-12.5-12.5-12.5-32.75 0-45.25s32.75-12.5 45.25 0l160 160C451.1 245.9 451.1 266.1 438.6 278.6z\"><\/path><\/svg><\/span><\/a><\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion finale<\/h3>\n\n\n\n<p>La valeur RMS ne vient pas seulement d\u2019une commodit\u00e9. Elle vient de la physique. <\/p>\n\n\n\n<p>La loi de Joule montre que l\u2019\u00e9chauffement d\u2019une r\u00e9sistance d\u00e9pend du <strong>carr\u00e9<\/strong> du courant ou de la tension. Une fois cet \u00e9chauffement exprim\u00e9 instant par instant puis accumul\u00e9 dans le temps, la d\u00e9finition de la valeur RMS suit naturellement. <\/p>\n\n\n\n<p>C\u2019est pourquoi la valeur RMS n\u2019est pas simplement une autre fa\u00e7on de d\u00e9crire une forme d\u2019onde. C\u2019est la <strong>valeur CC \u00e9quivalente en termes d\u2019\u00e9chauffement<\/strong>. <\/p>\n\n\n\n<p>Ainsi, dans la comparaison entre RMS et cr\u00eate :<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>la <strong>cr\u00eate<\/strong> d\u00e9crit la valeur instantan\u00e9e maximale<\/li>\n\n\n\n<li>la valeur <strong>RMS<\/strong> d\u00e9crit la valeur thermique efficace<\/li>\n<\/ul>\n\n\n\n<p>Et lorsque la question porte sur l\u2019\u00e9chauffement, la charge continue ou la dissipation de puissance, la valeur RMS est g\u00e9n\u00e9ralement la quantit\u00e9 qui importe le plus.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Pour la diff\u00e9rence fondamentale entre RMS et cr\u00eate, voir <a href=\"https:\/\/risentric.com\/fr\/rms-vs-crete-partie-i-difference-entre-la-tension-et-le-courant\/\">RMS vs Cr\u00eate Partie I<\/a>. <\/li>\n\n\n\n<li>Pour voir comment les contraintes thermiques et m\u00e9caniques comptent dans le courant de court-circuit, voir <a href=\"https:\/\/risentric.com\/fr\/rms-vs-crete-partie-ii-pourquoi-les-deux-sont-importants-dans-le-courant-de-court-circuit\/\">RMS vs Cr\u00eate Partie II<\/a>.<\/li>\n\n\n\n<li>Pour une explication plus large des termes \u00e9lectriques associ\u00e9s, consultez notre <a href=\"https:\/\/risentric.com\/fr\/definition-des-parametres-des-appareillages-de-commutation\/\">d\u00e9finition des param\u00e8tres de l\u2019appareillage \u00e9lectrique<\/a>.<\/li>\n\n\n\n<li>Pour voir comment ces concepts s\u2019appliquent dans les normes \u00e9lectriques, consultez notre article <a href=\"https:\/\/risentric.com\/fr\/icw-et-ipk-courants-de-court-circuit-efficaces-rms-et-de-pointe-pour-les-jeux-de-barres-et-les-appareillages-de-commutation\/\">Icw vs Ipk<\/a>.<\/li>\n<\/ul>\n\n\n\n<div class=\"wp-block-uagb-container uagb-block-412b19dc alignfull uagb-is-root-container\"><div class=\"uagb-container-inner-blocks-wrap\">\n<h3 class=\"wp-block-heading\">FAQ<\/h3>\n\n\n\n<div class=\"wp-block-uagb-advanced-heading uagb-block-bbc62e8e\"><h5 class=\"uagb-heading-text\">Pourquoi la valeur RMS est-elle appel\u00e9e valeur efficace ?<\/h5><\/div>\n\n\n\n<p>Parce qu\u2019il s\u2019agit de la valeur CC qui produirait le m\u00eame \u00e9chauffement Joule moyen dans une r\u00e9sistance que la forme d\u2019onde alternative ou variable d\u2019origine.<\/p>\n\n\n\n<div class=\"wp-block-uagb-advanced-heading uagb-block-aeb68e26\"><h5 class=\"uagb-heading-text\">Pourquoi la valeur RMS est-elle plus utile que la moyenne pour le CA ?<\/h5><\/div>\n\n\n\n<p>Parce que l\u2019\u00e9chauffement r\u00e9sistif d\u00e9pend du carr\u00e9 du courant ou de la tension, une simple moyenne sign\u00e9e ne peut donc pas repr\u00e9senter l\u2019effet thermique r\u00e9el.<\/p>\n\n\n\n<div class=\"wp-block-uagb-advanced-heading uagb-block-0614457c\"><h5 class=\"uagb-heading-text\">La tension de cr\u00eate d\u00e9termine-t-elle l\u2019\u00e9chauffement ?<\/h5><\/div>\n\n\n\n<p>Pas \u00e0 elle seule. La cr\u00eate n\u2019indique que la valeur instantan\u00e9e la plus \u00e9lev\u00e9e. L\u2019\u00e9chauffement moyen d\u00e9pend de la valeur RMS.  <\/p>\n\n\n\n<div class=\"wp-block-uagb-advanced-heading uagb-block-632bd60e\"><h5 class=\"uagb-heading-text\">Pourquoi une onde sinuso\u00efdale a-t-elle une valeur RMS inf\u00e9rieure \u00e0 sa cr\u00eate ?<\/h5><\/div>\n\n\n\n<p>Parce qu\u2019elle n\u2019atteint sa cr\u00eate que momentan\u00e9ment et passe la majeure partie du cycle en dessous de ce niveau.<\/p>\n\n\n\n<div class=\"wp-block-uagb-advanced-heading uagb-block-db3e60a7\"><h5 class=\"uagb-heading-text\">Quand la valeur RMS est-elle \u00e9gale \u00e0 la cr\u00eate ?<\/h5><\/div>\n\n\n\n<p>Pour les formes d\u2019onde qui restent \u00e0 une amplitude constante, comme le CC ou une onde carr\u00e9e id\u00e9ale.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n<p><strong>R\u00e9f\u00e9rence :<br\/><\/strong><a href=\"https:\/\/web.mit.edu\/6.013_book\/www\/chapter11\/11.3.html\" target=\"_blank\" rel=\"noopener\">https:\/\/web.mit.edu\/6.013_book\/www\/chapter11\/11.3.html<\/a><br\/><a href=\"https:\/\/www.nist.gov\/sites\/default\/files\/documents\/calibrations\/sp250-61.pdf\" target=\"_blank\" rel=\"noopener\">https:\/\/www.nist.gov\/sites\/default\/files\/documents\/calibrations\/sp250-61.pdf<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Veuillez noter : cet article est \u00e0 vocation acad\u00e9mique et s\u2019adresse aux lecteurs souhaitant une explication technique plus approfondie.Niveau : [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":19582,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_uag_custom_page_level_css":"","site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center 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center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[784],"tags":[1097,1096,1089,1093,1092,1094,785,1095,1091,1090],"class_list":["post-19580","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-principes-fondamentaux-de-lelectricite","tag-bases-du-genie-electrique","tag-chauffage-resistif","tag-effet-joule","tag-fondamentaux-du-ca","tag-loi-de-joule","tag-puissance-electrique","tag-rms","tag-tension-et-courant","tag-valeur-de-crete","tag-valeur-efficace"],"acf":[],"spectra_custom_meta":{"_pingme":["1"],"_encloseme":["1"],"rank_math_internal_links_processed":["1"],"_alp_processed":["1777197202"],"_top_nav_excluded":[""],"_cms_nav_minihome":[""],"rank_math_robots":["a:1:{i:0;s:5:\"index\";}"],"_last_translation_edit_mode":["translation-editor"],"_wpml_word_count":["1599"],"_thumbnail_id":["19582"],"rank_math_title":["Comment la loi de Joule m\u00e8ne \u00e0 la valeur RMS | RMS vs Cr\u00eate \u2013 Partie III"],"rank_math_description":["D\u00e9couvrez comment la loi de Joule m\u00e8ne \u00e0 la valeur RMS, pourquoi l\u2019\u00e9chauffement d\u2019une r\u00e9sistance d\u00e9pend du carr\u00e9 du courant et pourquoi la valeur RMS repr\u00e9sente la valeur efficace \u00e9quivalente en termes de chaleur."],"rank_math_focus_keyword":["Loi de Joule, RMS vs Cr\u00eate"],"_uagb_toc_options":["a:2:{s:17:\"_uagb_toc_version\";s:10:\"1780536967\";s:18:\"_uagb_toc_headings\";a:13:{i:0;a:4:{s:5:\"level\";i:3;s:2:\"id\";s:47:\"loi-de-joule-lorigine-physique-de-la-valeur-rms\";s:7:\"content\";s:52:\"Loi de Joule : l\u2019origine physique de la valeur RMS\";s:5:\"depth\";i:3;}i:1;a:4:{s:5:\"level\";i:3;s:2:\"id\";s:51:\"pourquoi-la-valeur-rms-nest-pas-une-moyenne-normale\";s:7:\"content\";s:54:\"Pourquoi la valeur RMS n\u2019est pas une moyenne 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