{"id":214986,"date":"2023-01-19T09:18:42","date_gmt":"2023-01-19T08:18:42","guid":{"rendered":"https:\/\/educelec.com\/?page_id=214986"},"modified":"2026-04-13T11:41:38","modified_gmt":"2026-04-13T10:41:38","slug":"aop","status":"publish","type":"page","link":"https:\/\/educelec.com\/en\/aop\/","title":{"rendered":"Amplificateur op\u00e9rationnel"},"content":{"rendered":"<p>[et_pb_section fb_built=\u00a0\u00bb1&Prime; admin_label=\u00a0\u00bbsection\u00a0\u00bb _builder_version=\u00a0\u00bb4.16&Prime; global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_row _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb custom_margin=\u00a0\u00bb-50px||||false|false\u00a0\u00bb locked=\u00a0\u00bboff\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_text _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb custom_margin=\u00a0\u00bb|0px||-30px|false|false\u00a0\u00bb custom_padding=\u00a0\u00bb|||0px|false|false\u00a0\u00bb hover_enabled=\u00a0\u00bb0&Prime; locked=\u00a0\u00bboff\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb sticky_enabled=\u00a0\u00bb0&Prime;]<\/p>\n<p><a href=\"https:\/\/educelec.com\/en\/\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-216559\" src=\"https:\/\/educelec.com\/wp-content\/uploads\/2025\/12\/chap-300x209.png\" alt=\"\" width=\"17\" height=\"12\" \/><\/a><a href=\"https:\/\/educelec.com\/en\/\">Home &gt;<\/a> <a href=\"https:\/\/educelec.com\/en\/electronique\/\">Electronique<\/a><a href=\"https:\/\/educelec.com\/en\/electronique\/\"> &gt; <\/a><strong>Amplificateur op\u00e9rationnel<\/strong><\/p>\n<p>[\/et_pb_text][et_pb_text _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb text_font=\u00a0\u00bbAcme|700|||||||\u00a0\u00bb background_color=\u00a0\u00bb#88C4DD\u00a0\u00bb text_text_shadow_style=\u00a0\u00bbpreset1&Prime; text_text_shadow_blur_strength=\u00a0\u00bb2em\u00a0\u00bb text_text_shadow_color=\u00a0\u00bb#0047E0&Prime; locked=\u00a0\u00bboff\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb text_font_size__hover_enabled=\u00a0\u00bbon|desktop\u00a0\u00bb]<\/p>\n<blockquote>\n<h1 style=\"text-align: center;\"><strong>Exercices corrig\u00e9s<\/strong><\/h1>\n<h3 style=\"text-align: center;\"><strong>Amplificateur op\u00e9rationnel<\/strong><\/h3>\n<\/blockquote>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb locked=\u00a0\u00bboff\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_text _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb]<\/p>\n<ul>\n<li>\n<h2><span style=\"color: #ff0000;\"><strong>Rappel cours.<\/strong><\/span><\/h2>\n<\/li>\n<\/ul>\n<hr \/>\n<h4>Avant de commencer les exercices, profitez d\u2019un petit rappel des points cl\u00e9s pour mieux r\u00e9ussir.<\/h4>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row disabled_on=\u00a0\u00bboff|off|off\u00a0\u00bb _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb locked=\u00a0\u00bboff\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_text disabled_on=\u00a0\u00bboff|off|off\u00a0\u00bb _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb hover_enabled=\u00a0\u00bb0&Prime; global_colors_info=\u00a0\u00bb{}\u00a0\u00bb sticky_enabled=\u00a0\u00bb0&Prime;]<\/p>\n<h4>Un <b>amplificateur op\u00e9rationnel <\/b>(aussi d\u00e9nomm\u00e9 ampli-op ou ampli op, AO, <b>AOP<\/b>) est un amplificateur diff\u00e9rentiel : c&rsquo;est un amplificateur \u00e9lectronique qui amplifie une diff\u00e9rence de potentiel \u00e9lectrique pr\u00e9sente \u00e0 ses entr\u00e9es.<\/h4>\n<h5><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-217702 size-full aligncenter\" src=\"https:\/\/educelec.com\/wp-content\/uploads\/2026\/04\/aop.png\" alt=\"\" width=\"354\" height=\"255\" srcset=\"https:\/\/educelec.com\/wp-content\/uploads\/2026\/04\/aop.png 354w, https:\/\/educelec.com\/wp-content\/uploads\/2026\/04\/aop-300x216.png 300w, https:\/\/educelec.com\/wp-content\/uploads\/2026\/04\/aop-18x12.png 18w\" sizes=\"auto, (max-width: 354px) 100vw, 354px\" \/><\/h5>\n<h5><strong>V+ = + 15 V : tension positive d\u2019alimentation.<\/strong><\/h5>\n<h5><strong>V- = &#8211;\u00a0 15 V : tension n\u00e9gative d\u2019alimentation.<\/strong><\/h5>\n<h5><strong>e+ : borne d\u2019entr\u00e9e non inverseuse.<\/strong><\/h5>\n<h5><strong>e- : borne d\u2019entr\u00e9e inverseuse.<\/strong><\/h5>\n<h5><strong>I+ : courant d\u2019entr\u00e9e non inverseuse<\/strong><\/h5>\n<h5><strong>I- : courant d\u2019entr\u00e9e inverseuse<\/strong><\/h5>\n<h5><strong>\u03b5 = e+ &#8211; e- : tension diff\u00e9rentielle d\u2019entr\u00e9e<\/strong><\/h5>\n<h5><strong>s : borne de sortie.<\/strong><\/h5>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=\u00a0\u00bb1&Prime; admin_label=\u00a0\u00bbsection\u00a0\u00bb _builder_version=\u00a0\u00bb4.19.1&Prime; custom_margin=\u00a0\u00bb0px||||false|false\u00a0\u00bb border_color_left=\u00a0\u00bb#0C71C3&Prime; locked=\u00a0\u00bboff\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_row _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb custom_margin=\u00a0\u00bb-130px||||false|false\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_text _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb custom_margin=\u00a0\u00bb21px||||false|false\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb]<\/p>\n<ul>\n<li>\n<h2><span style=\"color: #ff0000;\"><strong>Exercices corrig\u00e9s.<\/strong><\/span><\/h2>\n<\/li>\n<\/ul>\n<h4>Vous trouverez par la suite 3 exercices corrig\u00e9s sur la loi d\u2019Ohm et le calcul de la puissance \u00e9lectrique pour am\u00e9liorer votre niveau\u00a0en\u00a0\u00e9lectricit\u00e9.<\/h4>\n<hr \/>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb custom_margin=\u00a0\u00bb-50px||||false|false\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_text _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb background_color=\u00a0\u00bb#69D0FC\u00a0\u00bb min_height=\u00a0\u00bb40px\u00a0\u00bb height=\u00a0\u00bb40px\u00a0\u00bb custom_padding=\u00a0\u00bb7px||0px|18px|false|false\u00a0\u00bb border_radii=\u00a0\u00bbon|15px|15px|15px|15px\u00a0\u00bb border_width_all=\u00a0\u00bb2px\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb]<\/p>\n<ul>\n<li>\n<h3><strong>Exercice N\u00b0 1 (Facile)<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb locked=\u00a0\u00bboff\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_text _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb hover_enabled=\u00a0\u00bb0&Prime; global_colors_info=\u00a0\u00bb{}\u00a0\u00bb sticky_enabled=\u00a0\u00bb0&Prime;]<\/p>\n<p>Soit le montage suivant :<\/p>\n<p><a href=\"https:\/\/educelec.com\/wp-content\/uploads\/2023\/01\/e3-exo1.png\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-215018 size-full aligncenter\" src=\"https:\/\/educelec.com\/wp-content\/uploads\/2023\/01\/e3-exo1.png\" alt=\"\" width=\"232\" height=\"245\" \/><\/a><\/p>\n<ol>\n<li>Dans quel r\u00e9gime fonctionne l&rsquo;amplificateur op\u00e9rationnel? Justifier. Que peut-on dire de \u03b5?<\/li>\n<li>Que dire des courants I<sub>1<\/sub> et I<sub>2<\/sub>. Justifier.<\/li>\n<li>A partir de la fonction de transfert du montage (figure ci-contre), d\u00e9terminer le gain en tension (Av = Vs\/ Ve)<\/li>\n<\/ol>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row module_class=\u00a0\u00bbrv_button1 closed\u00a0\u00bb _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb custom_margin=\u00a0\u00bb-50px||||false|false\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_text _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb background_enable_color=\u00a0\u00bboff\u00a0\u00bb min_height=\u00a0\u00bb40px\u00a0\u00bb height=\u00a0\u00bb40px\u00a0\u00bb custom_padding=\u00a0\u00bb7px|||18px|false|false\u00a0\u00bb border_radii=\u00a0\u00bbon|15px|15px|15px|15px\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb]<\/p>\n<ul>\n<li>\n<h3><strong><span style=\"color: #3366ff;\">Solutions Exercice N\u00b0 1<\/span> <img loading=\"lazy\" decoding=\"async\" class=\"wp-image-215990 alignnone\" src=\"https:\/\/educelec.com\/wp-content\/uploads\/2025\/09\/click-150x150.png\" alt=\"\" width=\"25\" height=\"25\" srcset=\"https:\/\/educelec.com\/wp-content\/uploads\/2025\/09\/click-150x150.png 150w, https:\/\/educelec.com\/wp-content\/uploads\/2025\/09\/click-300x300.png 300w, https:\/\/educelec.com\/wp-content\/uploads\/2025\/09\/click.png 348w\" sizes=\"auto, (max-width: 25px) 100vw, 25px\" \/><\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row module_id=\u00a0\u00bbreveal1&Prime; _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_text _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb]<\/p>\n<p>educelec<\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=\u00a0\u00bb1&Prime; admin_label=\u00a0\u00bbsection\u00a0\u00bb _builder_version=\u00a0\u00bb4.19.1&Prime; custom_margin=\u00a0\u00bb-50px||||false|false\u00a0\u00bb locked=\u00a0\u00bboff\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_row _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb custom_margin=\u00a0\u00bb-50px||||false|false\u00a0\u00bb locked=\u00a0\u00bboff\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_text _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb background_color=\u00a0\u00bb#69D0FC\u00a0\u00bb min_height=\u00a0\u00bb40px\u00a0\u00bb height=\u00a0\u00bb40px\u00a0\u00bb custom_padding=\u00a0\u00bb7px||0px|18px|false|false\u00a0\u00bb border_radii=\u00a0\u00bbon|15px|15px|15px|15px\u00a0\u00bb border_width_all=\u00a0\u00bb2px\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb]<\/p>\n<ul>\n<li>\n<h3><strong>Exercice N\u00b0 2 (Facile +)<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb locked=\u00a0\u00bboff\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_text _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb hover_enabled=\u00a0\u00bb0&Prime; global_colors_info=\u00a0\u00bb{}\u00a0\u00bb sticky_enabled=\u00a0\u00bb0&Prime;]<\/p>\n<p>Soit le montage suivant :<\/p>\n<p><a href=\"https:\/\/educelec.com\/wp-content\/uploads\/2023\/01\/e3-exo2.png\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-215021 size-full aligncenter\" src=\"https:\/\/educelec.com\/wp-content\/uploads\/2023\/01\/e3-exo2.png\" alt=\"\" width=\"360\" height=\"188\" srcset=\"https:\/\/educelec.com\/wp-content\/uploads\/2023\/01\/e3-exo2.png 360w, https:\/\/educelec.com\/wp-content\/uploads\/2023\/01\/e3-exo2-300x157.png 300w\" sizes=\"auto, (max-width: 360px) 100vw, 360px\" \/><\/a><\/p>\n<ol>\n<li>Pr\u00e9ciser le fonctionnement de l&rsquo;amplificateur op\u00e9rationnel. Justifier.<\/li>\n<li>Ecrire la relation entre les diff\u00e9rents courants.<\/li>\n<li>Ecrire les lois des mailles d&rsquo;entr\u00e9es et de sortie et en d\u00e9duire vs en fonction de R<sub>1<\/sub>,<\/li>\n<\/ol>\n<p>R<sub>2<\/sub>, R<sub>3<\/sub>, V<sub>1<\/sub> et V<sub>2<\/sub>.<\/p>\n<ol start=\"4\">\n<li>R<sub>1<\/sub> = R<sub>2<\/sub> = 1k\u03a9 et R<sub>3<\/sub> = 2k\u03a9 . Exprimer vs en fonction de V<sub>1<\/sub> et V<sub>2<\/sub> et conclure.<\/li>\n<li>Comment appelle-t-on ce montage ?<\/li>\n<\/ol>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row module_class=\u00a0\u00bbrv_button2 closed\u00a0\u00bb _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb custom_margin=\u00a0\u00bb-49px||||false|false\u00a0\u00bb locked=\u00a0\u00bboff\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_text _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb background_enable_color=\u00a0\u00bboff\u00a0\u00bb min_height=\u00a0\u00bb40px\u00a0\u00bb height=\u00a0\u00bb40px\u00a0\u00bb custom_padding=\u00a0\u00bb7px|||18px|false|false\u00a0\u00bb border_radii=\u00a0\u00bbon|15px|15px|15px|15px\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb]<\/p>\n<ul>\n<li>\n<h3><span style=\"color: #3366ff;\"><strong>Solutions Exercice N\u00b0 2\u00a0 <img loading=\"lazy\" decoding=\"async\" class=\"wp-image-215990 alignnone\" src=\"https:\/\/educelec.com\/wp-content\/uploads\/2025\/09\/click-150x150.png\" alt=\"\" width=\"26\" height=\"26\" srcset=\"https:\/\/educelec.com\/wp-content\/uploads\/2025\/09\/click-150x150.png 150w, https:\/\/educelec.com\/wp-content\/uploads\/2025\/09\/click-300x300.png 300w, https:\/\/educelec.com\/wp-content\/uploads\/2025\/09\/click.png 348w\" sizes=\"auto, (max-width: 26px) 100vw, 26px\" \/><\/strong><\/span><\/h3>\n<\/li>\n<\/ul>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row module_id=\u00a0\u00bbreveal2&Prime; _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb locked=\u00a0\u00bboff\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_text _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb]<\/p>\n<p>educelec<\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_text _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb locked=\u00a0\u00bboff\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb]<\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=\u00a0\u00bb1&Prime; disabled_on=\u00a0\u00bbon|on|on\u00a0\u00bb admin_label=\u00a0\u00bbsection\u00a0\u00bb _builder_version=\u00a0\u00bb4.19.1&Prime; custom_margin=\u00a0\u00bb-50px||||false|false\u00a0\u00bb hover_enabled=\u00a0\u00bb0&Prime; locked=\u00a0\u00bboff\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb disabled=\u00a0\u00bbon\u00a0\u00bb sticky_enabled=\u00a0\u00bb0&Prime;][et_pb_row _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb custom_margin=\u00a0\u00bb-50px||||false|false\u00a0\u00bb locked=\u00a0\u00bboff\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_text _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb background_color=\u00a0\u00bb#69D0FC\u00a0\u00bb min_height=\u00a0\u00bb40px\u00a0\u00bb height=\u00a0\u00bb40px\u00a0\u00bb custom_padding=\u00a0\u00bb7px||0px|18px|false|false\u00a0\u00bb border_radii=\u00a0\u00bbon|15px|15px|15px|15px\u00a0\u00bb border_width_all=\u00a0\u00bb2px\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb]<\/p>\n<ul>\n<li>\n<h3><strong>Exercice N\u00b0 3 (moyenne)<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb locked=\u00a0\u00bboff\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_text _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb]<\/p>\n<p>Soit le montage suivant :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-217695 size-full aligncenter\" src=\"https:\/\/educelec.com\/wp-content\/uploads\/2026\/04\/exoreg3.png\" alt=\"\" width=\"550\" height=\"169\" srcset=\"https:\/\/educelec.com\/wp-content\/uploads\/2026\/04\/exoreg3.png 550w, https:\/\/educelec.com\/wp-content\/uploads\/2026\/04\/exoreg3-480x147.png 480w\" sizes=\"auto, (min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) 550px, 100vw\" \/><\/p>\n<ol>\n<li>Quelle est la tension de sortie (Us) du montage ?<\/li>\n<li>Que doit \u00eatre la tension minimale de l\u2019entr\u00e9e (Ue<sub>min<\/sub>) ?<\/li>\n<\/ol>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row module_class=\u00a0\u00bbrv_button closed\u00a0\u00bb _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb locked=\u00a0\u00bboff\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_text _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb background_enable_color=\u00a0\u00bboff\u00a0\u00bb min_height=\u00a0\u00bb40px\u00a0\u00bb height=\u00a0\u00bb40px\u00a0\u00bb custom_margin=\u00a0\u00bb-50px||||false|false\u00a0\u00bb custom_padding=\u00a0\u00bb7px|||18px|false|false\u00a0\u00bb border_radii=\u00a0\u00bbon|15px|15px|15px|15px\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb]<\/p>\n<ul>\n<li>\n<h3><strong><span style=\"color: #3366ff;\">Solutions Exercice N\u00b0 3<\/span> <img loading=\"lazy\" decoding=\"async\" class=\"wp-image-215990 alignnone\" src=\"https:\/\/educelec.com\/wp-content\/uploads\/2025\/09\/click-150x150.png\" alt=\"\" width=\"28\" height=\"28\" srcset=\"https:\/\/educelec.com\/wp-content\/uploads\/2025\/09\/click-150x150.png 150w, https:\/\/educelec.com\/wp-content\/uploads\/2025\/09\/click-300x300.png 300w, https:\/\/educelec.com\/wp-content\/uploads\/2025\/09\/click.png 348w\" sizes=\"auto, (max-width: 28px) 100vw, 28px\" \/><\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row module_id=\u00a0\u00bbreveal\u00a0\u00bb _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb locked=\u00a0\u00bboff\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_text _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb]<\/p>\n<p>en cours<\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb locked=\u00a0\u00bboff\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_text _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb locked=\u00a0\u00bboff\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb]<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row disabled_on=\u00a0\u00bbon|on|on\u00a0\u00bb _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb disabled=\u00a0\u00bbon\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_text _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb]<\/p>\n<hr \/>\n<h4>Pour aller plus loin dans votre apprentissage, t\u00e9l\u00e9chargez gratuitement la s\u00e9rie d\u2019exercices au format PDF <a href=\"https:\/\/educelec.com\/wp-content\/uploads\/2025\/12\/exercices-ohm-puiss.pdf\">clic ici <img loading=\"lazy\" decoding=\"async\" class=\"wp-image-215990 alignnone\" src=\"https:\/\/educelec.com\/wp-content\/uploads\/2025\/09\/click-150x150.png\" alt=\"\" width=\"26\" height=\"26\" srcset=\"https:\/\/educelec.com\/wp-content\/uploads\/2025\/09\/click-150x150.png 150w, https:\/\/educelec.com\/wp-content\/uploads\/2025\/09\/click-300x300.png 300w, https:\/\/educelec.com\/wp-content\/uploads\/2025\/09\/click.png 348w\" sizes=\"auto, (max-width: 26px) 100vw, 26px\" \/><\/a>.<\/h4>\n<p>[\/et_pb_text][et_pb_text _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb locked=\u00a0\u00bboff\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb]<\/p>\n<hr \/>\n<h4>Vous pouvez \u00e9galement tester vos connaissances avec notre QCM sur le Calcul des r\u00e9sistances \u00e9quivalentes pour \u00e9valuer votre niveau. <a href=\"https:\/\/educelec.com\/en\/qcm-ace1\/\">Clic ici <img loading=\"lazy\" decoding=\"async\" class=\"wp-image-215990 alignnone\" src=\"https:\/\/educelec.com\/wp-content\/uploads\/2025\/09\/click-150x150.png\" alt=\"\" width=\"26\" height=\"26\" srcset=\"https:\/\/educelec.com\/wp-content\/uploads\/2025\/09\/click-150x150.png 150w, https:\/\/educelec.com\/wp-content\/uploads\/2025\/09\/click-300x300.png 300w, https:\/\/educelec.com\/wp-content\/uploads\/2025\/09\/click.png 348w\" sizes=\"auto, (max-width: 26px) 100vw, 26px\" \/>.<\/a><\/h4>\n<hr \/>\n<p>&nbsp;<\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=\u00a0\u00bb1&Prime; specialty=\u00a0\u00bbon\u00a0\u00bb _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb custom_margin=\u00a0\u00bb-90px||||false|false\u00a0\u00bb locked=\u00a0\u00bboff\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb1_4&Prime; _builder_version=\u00a0\u00bb4.16&Prime; custom_padding=\u00a0\u00bb|||\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb custom_padding__hover=\u00a0\u00bb|||\u00a0\u00bb][et_pb_text _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb custom_margin=\u00a0\u00bb-50px||||false|false\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb]<\/p>\n<h3><strong><span style=\"color: #3366ff;\">Vous pouvez consulter aussi d&rsquo;autres pages :<\/span><\/strong><\/h3>\n<p>[\/et_pb_text][\/et_pb_column][et_pb_column type=\u00a0\u00bb3_4&Prime; specialty_columns=\u00a0\u00bb3&Prime; _builder_version=\u00a0\u00bb4.16&Prime; custom_padding=\u00a0\u00bb|||\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb custom_padding__hover=\u00a0\u00bb|||\u00a0\u00bb][et_pb_row_inner _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb custom_margin=\u00a0\u00bb-50px||||false|false\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column_inner saved_specialty_column_type=\u00a0\u00bb3_4&Prime; _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_text _builder_version=\u00a0\u00bb4.19.1&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb]<\/p>\n<h5><span style=\"color: #3366ff;\">@<a style=\"color: #3366ff;\" href=\"https:\/\/educelec.com\/en\/div-cour-tens\/\">Diviseur de courant et de tension<\/a>; @<a style=\"color: #3366ff;\" href=\"https:\/\/educelec.com\/en\/loi-kirch\/\">lois de Kirchoff;<\/a> @<a style=\"color: #3366ff;\" href=\"https:\/\/educelec.com\/en\/theo-thev-nort\/\">TheoremeThevenin et Norton.<\/a> @<a style=\"color: #3366ff;\" href=\"https:\/\/educelec.com\/en\/ohm-puiss\/\">Lois d&rsquo;Ohm &amp; puissance<\/a><\/span><\/h5>\n<p>[\/et_pb_text][\/et_pb_column_inner][\/et_pb_row_inner][\/et_pb_column][\/et_pb_section]<\/p>","protected":false},"excerpt":{"rendered":"<p>Home &gt; Electronique &gt; Amplificateur op\u00e9rationnelExercices corrig\u00e9s Amplificateur op\u00e9rationnel Rappel cours. Avant de commencer les exercices, profitez d\u2019un petit rappel des points cl\u00e9s pour mieux r\u00e9ussir.Un amplificateur op\u00e9rationnel (aussi d\u00e9nomm\u00e9 ampli-op ou ampli op, AO, AOP) est un amplificateur diff\u00e9rentiel : c&rsquo;est un amplificateur \u00e9lectronique qui amplifie une diff\u00e9rence de potentiel \u00e9lectrique pr\u00e9sente \u00e0 ses [&hellip;]<\/p>","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","om_disable_all_campaigns":false,"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"class_list":["post-214986","page","type-page","status-publish","hentry"],"aioseo_notices":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.6 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Amplificateur op\u00e9rationnel - Exercices et Solutions en Electricit\u00e9, Electronique, Electrotechnique et Automatisme industrielle<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/educelec.com\/en\/aop\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Amplificateur op\u00e9rationnel - Exercices et Solutions en Electricit\u00e9, Electronique, Electrotechnique et Automatisme industrielle\" \/>\n<meta property=\"og:description\" content=\"Home &gt; Electronique &gt; Amplificateur op\u00e9rationnelExercices corrig\u00e9s Amplificateur op\u00e9rationnel Rappel cours. 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