{"id":30996,"date":"2021-09-21T13:00:27","date_gmt":"2021-09-21T13:00:27","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=30996"},"modified":"2025-01-03T19:51:17","modified_gmt":"2025-01-03T19:51:17","slug":"le-concept-de-champ-electrique","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/fr\/le-concept-de-champ-electrique\/","title":{"rendered":"Le concept de champ \u00e9lectrique"},"content":{"rendered":"<style>\n    p, ul, ol {\n        text-align: justify;\n    }\n    h1, h2 {\n        text-align: center;\n    }\n<\/style>\n<h1>Le concept de champ \u00e9lectrique<\/h1>\n<p style=\"text-align: center;\"><em>Au XIXe si\u00e8cle, Michael Faraday, l&#8217;un des plus grands exp\u00e9rimentateurs dans le domaine de l&#8217;\u00e9lectricit\u00e9, avait une mani\u00e8re particuli\u00e8re de travailler : il remplissait son laboratoire de fils, de sph\u00e8res charg\u00e9es et de petits r\u00e9cipients contenant des liquides conducteurs. Une anecdote c\u00e9l\u00e8bre raconte que, obs\u00e9d\u00e9 par la visualisation des \u00ablignes de force\u00bb entourant une charge \u00e9lectrique, il r\u00e9pandait de la limaille de fer dans tout le laboratoire, laissant le sol recouvert de motifs ressemblant \u00e0 de l&#8217;art moderne. Ses coll\u00e8gues, perplexes, pensaient qu&#8217;il avait perdu la raison, mais Faraday esquissait en r\u00e9alit\u00e9 l&#8217;un des concepts les plus r\u00e9volutionnaires : le champ \u00e9lectrique. Dans cet article, nous explorerons comment ces id\u00e9es, n\u00e9es du g\u00e9nie et de l&#8217;exp\u00e9rimentation, nous permettent de cartographier et de comprendre les interactions invisibles qui gouvernent l&#8217;\u00e9lectricit\u00e9. Si vous vous \u00eates d\u00e9j\u00e0 demand\u00e9 comment rendre visible l&#8217;invisible, ce voyage est fait pour vous.<\/em><\/p>\n<p style=\"text-align: center;\"><strong>Objectifs d&#8217;apprentissage :<\/strong><br \/>\n\u00c0 la fin de ce cours, l&#8217;\u00e9tudiant sera capable de\n<\/p>\n<ol>\n<li><strong>Comprendre<\/strong> le concept de champ \u00e9lectrique et sa relation avec la force \u00e9lectrique via la loi de Coulomb.<\/li>\n<li><strong>Appliquer<\/strong> la d\u00e9finition du champ \u00e9lectrique pour r\u00e9soudre des probl\u00e8mes li\u00e9s aux charges ponctuelles.<\/li>\n<li><strong>Analyser<\/strong> le principe de superposition dans des distributions discr\u00e8tes et continues de charges pour calculer les champs \u00e9lectriques.<\/li>\n<li><strong>\u00c9valuer<\/strong> l&#8217;int\u00e9gration des distributions lin\u00e9aires, surfaciques et volumiques pour d\u00e9terminer les champs \u00e9lectriques dans des configurations complexes.<\/li>\n<li><strong>R\u00e9soudre<\/strong> des exercices pratiques comprenant des configurations telles qu&#8217;une barre charg\u00e9e, un anneau charg\u00e9 et un plan infini charg\u00e9.<\/li>\n<\/ol>\n<p style=\"text-align: center;\"><strong><u>TABLE DES MATI\u00c8RES :<\/u><\/strong><br \/>\n<a href=\"#1\">Qu&#8217;est-ce que le champ \u00e9lectrique ?<\/a><br \/>\n<a href=\"#2\">Le champ \u00e9lectrique et les distributions de charges<\/a><br \/>\n<a href=\"#3\">Exercices<\/a>\n<\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/KWwRfJ9ZRrA\" title=\"Lecteur vid\u00e9o YouTube\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/p>\n<p><a name=\"1\"><\/a><\/p>\n<h2>Qu&#8217;est-ce que le champ \u00e9lectrique ?<\/h2>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=KWwRfJ9ZRrA&amp;t=191s\" target=\"_blank\" rel=\"noopener\"><strong>Lorsque nous pla\u00e7ons une source de charge<\/strong><\/a> quelque part dans l&#8217;espace, nous pouvons sentir sa pr\u00e9sence en utilisant une charge d&#8217;essai en raison de la <strong>force \u00e9lectrique<\/strong> qu&#8217;elle ressent. Cette force est \u00e9tudi\u00e9e \u00e0 travers la loi de Coulomb. En nous basant sur cela, nous disons que la source de charge \u00abinonde l&#8217;espace\u00bb avec une propri\u00e9t\u00e9, un champ \u00e9lectrique, qui est responsable de produire la force \u00e9lectrique.<\/p>\n<p>Pour mesurer le champ \u00e9lectrique d&#8217;une charge <span class=\"katex-eq\" data-katex-display=\"false\">q<\/span> en un certain point <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{r}<\/span> de l&#8217;espace, nous devons placer une charge d&#8217;essai <span class=\"katex-eq\" data-katex-display=\"false\">q_0<\/span> \u00e0 cet endroit. Le champ \u00e9lectrique sera d\u00e9crit comme la quantit\u00e9 de force \u00e9lectrique ressentie par la charge d&#8217;essai <span class=\"katex-eq\" data-katex-display=\"false\">q_0<\/span> par unit\u00e9 de charge.<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vec{E}_q(\\vec{r}) = \\displaystyle \\frac{\\vec{F}_{q\\to q_0}(\\vec{r})}{q_0}<\/span>\n<p>Cependant, en proc\u00e9dant ainsi, nous ignorons le fait que la charge d&#8217;essai devrait \u00e9galement avoir son propre champ \u00e9lectrique, qui se superposera au champ de la source de charges. Pour r\u00e9soudre ce probl\u00e8me, nous d\u00e9finissons le champ \u00e9lectrique \u00e0 travers la limite :<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\vec{E}_q(\\vec{r}) = \\lim_{q_0 \\to 0} \\frac{\\vec{F}_{q\\to q_0}(\\vec{r})}{q_0}<\/span>\n<p>En utilisant cette d\u00e9finition via la limite, nous nous assurons que le champ de la charge d&#8217;essai <span class=\"katex-eq\" data-katex-display=\"false\">q_0<\/span> n&#8217;interf\u00e8re pas avec les mesures du champ de la charge <span class=\"katex-eq\" data-katex-display=\"false\">q.<\/span> Maintenant, en rappelant la loi de Coulomb, le champ \u00e9lectrique d&#8217;une particule charg\u00e9e <span class=\"katex-eq\" data-katex-display=\"false\">q<\/span> prend la forme suivante :<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\vec{E}_q(\\vec{r}) = \\lim_{q_0 \\to 0} \\frac{1}{q_0} \\frac{1}{4\\pi \\epsilon_0} \\frac{qq_0}{\\|\\vec{r} -\\vec{r}^\\prime\\|^2} \\frac{\\vec{r} -\\vec{r}^\\prime}{\\|\\vec{r} -\\vec{r}^\\prime\\|} = \\frac{q}{4\\pi\\epsilon_0} \\frac{\\vec{r} -\\vec{r}^\\prime}{\\|\\vec{r} -\\vec{r}^\\prime\\|^3} <\/span>\n<p>Et ainsi,<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\vec{F}_{q\\to q_0}(\\vec{r}) = q_0 \\vec{E}_q(\\vec{r}) <\/span>\n<p><a name=\"2\"><\/a> <\/p>\n<h2>Le champ \u00e9lectrique et les distributions de charges<\/h2>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=KWwRfJ9ZRrA&amp;t=565s\" target=\"_blank\" rel=\"noopener\"><strong>\u00c9tant donn\u00e9 que le champ \u00e9lectrique<\/strong><\/a> est \u00e9tudi\u00e9 en fonction de la force, et qu&#8217;il satisfait le principe de superposition, nous pouvons \u00e9tudier les champs de diff\u00e9rentes distributions de charges.<\/p>\n<h3>Distributions discr\u00e8tes<\/h3>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=KWwRfJ9ZRrA&amp;t=587s\" target=\"_blank\" rel=\"noopener\"><strong>Consid\u00e9rons une distribution de <span class=\"katex-eq\" data-katex-display=\"false\">n<\/span> charges discr\u00e8tes<\/strong><\/a> <span class=\"katex-eq\" data-katex-display=\"false\">q_1, q_2, \\cdots, q_n<\/span> avec des positions <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{r}^\\prime_1, \\vec{r}^\\prime_2, \\cdots, \\vec{r}^\\prime_n.<\/span> Si nous voulons calculer leur champ en un point <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{r}<\/span> de l&#8217;espace, alors nous avons :<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\vec{E}_q(\\vec{r}) = \\frac{1}{4\\pi\\epsilon_0} \\sum_{i=1}^n q_i \\frac{\\vec{r} -\\vec{r}_i^\\prime}{\\|\\vec{r} -\\vec{r}_i^\\prime\\|^3} <\/span>\n<p>C&#8217;est-\u00e0-dire la somme de tous les champs individuels.<\/p>\n<h3>Distributions continues<\/h3>\n<p>Il existe trois types de distributions continues de charges, chacune associ\u00e9e au nombre de param\u00e8tres n\u00e9cessaires pour d\u00e9crire leur disposition spatiale. Ce sont les distributions lin\u00e9aires, surfaciques et volumiques.<\/p>\n<h4>Distribution lin\u00e9aire<\/h4>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=KWwRfJ9ZRrA&amp;t=688s\" target=\"_blank\" rel=\"noopener\"><strong>Dans une distribution lin\u00e9aire de charges,<\/strong><\/a> chaque \u00e9l\u00e9ment de ligne du corps charg\u00e9 poss\u00e8de une densit\u00e9 lin\u00e9aire de charge <span class=\"katex-eq\" data-katex-display=\"false\">\\lambda(\\vec{r}^\\prime)=dq(\\vec{r}^\\prime)\/dl<\/span>, de sorte que l&#8217;\u00e9l\u00e9ment de champ \u00e9lectrique est exprim\u00e9 comme suit :<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">d\\vec{E}(\\vec{r}) =\\displaystyle \\frac{dq(\\vec{r}^\\prime)}{4\\pi\\epsilon_0} \\frac{\\vec{r} - \\vec{r}^\\prime}{\\|\\vec{r} - \\vec{r}^\\prime\\|^3} = \\frac{\\lambda(\\vec{r}^\\prime)}{4\\pi\\epsilon_0} \\frac{\\vec{r} - \\vec{r}^\\prime}{\\|\\vec{r} - \\vec{r}^\\prime\\|^3}dl<\/span>\n<p>En int\u00e9grant cette expression, nous obtenons :<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\vec{E}(\\vec{r}) = \\frac{1}{4\\pi\\epsilon_0} \\int_{\\mathcal{C}} \\lambda(\\vec{r}^\\prime) \\frac{\\vec{r} - \\vec{r}^\\prime}{\\|\\vec{r} - \\vec{r}^\\prime\\|^3}dl<\/span>\n<p>O\u00f9 <span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{C}<\/span> est la repr\u00e9sentation param\u00e9trique de la courbe d\u00e9crivant la forme du corps charg\u00e9.<\/p>\n<h4>Distribution surfacique<\/h4>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=KWwRfJ9ZRrA&amp;t=899s\" target=\"_blank\" rel=\"noopener\"><strong>Dans une distribution surfacique de charges,<\/strong><\/a> chaque \u00e9l\u00e9ment de surface du corps charg\u00e9 poss\u00e8de une densit\u00e9 surfacique de charge <span class=\"katex-eq\" data-katex-display=\"false\">\\sigma(\\vec{r}^\\prime)=dq(\\vec{r}^\\prime)\/dS<\/span>, de sorte que l&#8217;\u00e9l\u00e9ment de champ \u00e9lectrique est exprim\u00e9 comme suit :<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle d\\vec{E}(\\vec{r}) = \\frac{dq(\\vec{r}^\\prime)}{4\\pi\\epsilon_0} \\frac{\\vec{r} - \\vec{r}^\\prime}{\\|\\vec{r} - \\vec{r}^\\prime\\|^3} = \\frac{\\sigma(\\vec{r}^\\prime)}{4\\pi\\epsilon_0} \\frac{\\vec{r} - \\vec{r}^\\prime}{\\|\\vec{r} - \\vec{r}^\\prime\\|^3}dS<\/span>\n<p>En int\u00e9grant cette expression, nous obtenons :<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\vec{E}(\\vec{r}) = \\frac{1}{4\\pi\\epsilon_0} \\iint_{\\mathcal{A}} \\sigma(\\vec{r}^\\prime) \\frac{\\vec{r} - \\vec{r}^\\prime}{\\|\\vec{r} - \\vec{r}^\\prime\\|^3}dS<\/span>\n<p>O\u00f9 <span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}<\/span> est la repr\u00e9sentation param\u00e9trique de la surface d\u00e9crivant la forme du corps charg\u00e9.<\/p>\n<h4>Distribution volumique<\/h4>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=KWwRfJ9ZRrA&amp;t=1054s\" target=\"_blank\" rel=\"noopener\"><strong>Dans une distribution volumique de charges,<\/strong><\/a> chaque \u00e9l\u00e9ment de volume du corps charg\u00e9 poss\u00e8de une densit\u00e9 volumique de charge <span class=\"katex-eq\" data-katex-display=\"false\">\\rho(\\vec{r}^\\prime)=dq(\\vec{r}^\\prime)\/dV<\/span>, de sorte que l&#8217;\u00e9l\u00e9ment de champ \u00e9lectrique est exprim\u00e9 comme suit :<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle d\\vec{E}(\\vec{r}^\\prime) = \\frac{dq(\\vec{r}^\\prime)}{4\\pi\\epsilon_0} \\frac{\\vec{r} - \\vec{r}^\\prime}{\\|\\vec{r} - \\vec{r}^\\prime\\|^3} = \\frac{\\rho(\\vec{r}^\\prime)}{4\\pi\\epsilon_0} \\frac{\\vec{r} - \\vec{r}^\\prime}{\\|\\vec{r} - \\vec{r}^\\prime\\|^3}dV<\/span>\n<p>En int\u00e9grant cette expression, nous obtenons :<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\vec{E}(\\vec{r}) = \\frac{1}{4\\pi\\epsilon_0} \\iiint_{\\mathcal{V}} \\rho(\\vec{r}^\\prime) \\frac{\\vec{r} - \\vec{r}^\\prime}{\\|\\vec{r} - \\vec{r}^\\prime\\|^3}dV<\/span>\n<p>O\u00f9 <span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{V}<\/span> est la repr\u00e9sentation param\u00e9trique du volume d\u00e9crivant la forme du corps charg\u00e9.<\/p>\n<p><a name=\"3\"><\/a> <\/p>\n<h2>Exercices :<\/h2>\n<h3>Barre charg\u00e9e<\/h3>\n<p>Consid\u00e9rez une barre de longueur <span class=\"katex-eq\" data-katex-display=\"false\">L<\/span> uniform\u00e9ment charg\u00e9e avec une charge <span class=\"katex-eq\" data-katex-display=\"false\">Q<\/span> et dispos\u00e9e verticalement. D\u00e9terminez le champ \u00e9lectrique de la barre \u00e0 une distance horizontale <span class=\"katex-eq\" data-katex-display=\"false\">x<\/span> du centre de la barre.<\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/PEi3xjHDyxM\" title=\"Lecteur vid\u00e9o YouTube\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/center><\/p>\n<h3>Anneau charg\u00e9<\/h3>\n<p>Consid\u00e9rez un anneau de rayon <span class=\"katex-eq\" data-katex-display=\"false\">R<\/span> uniform\u00e9ment charg\u00e9 avec une charge <span class=\"katex-eq\" data-katex-display=\"false\">Q<\/span> plac\u00e9 sur le plan xy. D\u00e9terminez le champ \u00e9lectrique juste \u00e0 une hauteur <span class=\"katex-eq\" data-katex-display=\"false\">z<\/span> du centre de l&#8217;anneau.<\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/kPVAhlzvgKA\" title=\"Lecteur vid\u00e9o YouTube\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/center><\/p>\n<h3>Plan infini charg\u00e9<\/h3>\n<p>Consid\u00e9rez un plan infini uniform\u00e9ment charg\u00e9 avec une densit\u00e9 de charge surfacique <span class=\"katex-eq\" data-katex-display=\"false\">\\sigma<\/span>. D\u00e9terminez le champ \u00e9lectrique \u00e0 une distance <span class=\"katex-eq\" data-katex-display=\"false\">L<\/span> du plan.<\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/IQeDWxVT7eM\" title=\"Lecteur vid\u00e9o YouTube\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/center><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Le concept de champ \u00e9lectrique Au XIXe si\u00e8cle, Michael Faraday, l&#8217;un des plus grands exp\u00e9rimentateurs dans le domaine de l&#8217;\u00e9lectricit\u00e9, avait une mani\u00e8re particuli\u00e8re de travailler : il remplissait son laboratoire de fils, de sph\u00e8res charg\u00e9es et de petits r\u00e9cipients contenant des liquides conducteurs. Une anecdote c\u00e9l\u00e8bre raconte que, obs\u00e9d\u00e9 par la visualisation des \u00ablignes [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":30980,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":10,"footnotes":""},"categories":[722,647],"tags":[],"class_list":["post-30996","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-electromagnetisme","category-physique"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Le concept de champ \u00e9lectrique - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"Le champ \u00e9lectrique est la r\u00e9gion o\u00f9 une charge g\u00e9n\u00e8re une force sur d&#039;autres charges, d\u00e9crite par l&#039;intensit\u00e9 et la direction en chaque point.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/toposuranos.com\/material\/fr\/le-concept-de-champ-electrique\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Le concept de champ \u00e9lectrique\" \/>\n<meta property=\"og:description\" content=\"Le champ \u00e9lectrique est la r\u00e9gion o\u00f9 une charge g\u00e9n\u00e8re une force sur d&#039;autres charges, d\u00e9crite par l&#039;intensit\u00e9 et la direction en chaque point.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/toposuranos.com\/material\/fr\/le-concept-de-champ-electrique\/\" \/>\n<meta property=\"og:site_name\" content=\"toposuranos.com\/material\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/groups\/toposuranos\" \/>\n<meta property=\"article:published_time\" content=\"2021-09-21T13:00:27+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-01-03T19:51:17+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2025\/01\/campoelectrico-1024x585.jpg\" \/>\n<meta name=\"author\" content=\"giorgio.reveco\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"Le concept de champ \u00e9lectrique\" \/>\n<meta name=\"twitter:description\" content=\"Le champ \u00e9lectrique est la r\u00e9gion o\u00f9 une charge g\u00e9n\u00e8re une force sur d&#039;autres charges, d\u00e9crite par l&#039;intensit\u00e9 et la direction en chaque point.\" \/>\n<meta name=\"twitter:image\" content=\"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2025\/01\/campoelectrico.jpg\" \/>\n<meta name=\"twitter:creator\" content=\"@topuranos\" \/>\n<meta name=\"twitter:site\" content=\"@topuranos\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"giorgio.reveco\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tiempo de lectura\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minuto\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/le-concept-de-champ-electrique\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/le-concept-de-champ-electrique\\\/\"},\"author\":{\"name\":\"giorgio.reveco\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/person\\\/e15164361c3f9a2a02cf6c234cf7fdc1\"},\"headline\":\"Le concept de champ \u00e9lectrique\",\"datePublished\":\"2021-09-21T13:00:27+00:00\",\"dateModified\":\"2025-01-03T19:51:17+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/le-concept-de-champ-electrique\\\/\"},\"wordCount\":1422,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/le-concept-de-champ-electrique\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2025\\\/01\\\/campoelectrico.jpg\",\"articleSection\":[\"\u00c9lectromagn\u00e9tisme\",\"Physique\"],\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/le-concept-de-champ-electrique\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/le-concept-de-champ-electrique\\\/\",\"url\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/fr\\\/le-concept-de-champ-electrique\\\/\",\"name\":\"Le concept de champ \u00e9lectrique - 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