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Fluxo magnético – Wikipédia, a enciclopédia livre
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id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Início</div> </a> </li> <li id="toc-Definição" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Definição"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Definição</span> </div> </a> <ul id="toc-Definição-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Casos_particulares" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Casos_particulares"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Casos particulares</span> </div> </a> <button aria-controls="toc-Casos_particulares-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Alternar a subsecção Casos particulares</span> </button> <ul id="toc-Casos_particulares-sublist" class="vector-toc-list"> <li id="toc-Campo_uniforme" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Campo_uniforme"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Campo uniforme</span> </div> </a> <ul id="toc-Campo_uniforme-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Fluxo_através_de_bobinas" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Fluxo_através_de_bobinas"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>Fluxo através de bobinas</span> </div> </a> <ul id="toc-Fluxo_através_de_bobinas-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Fluxo_através_de_uma_superfície_fechada" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Fluxo_através_de_uma_superfície_fechada"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Fluxo através de uma superfície fechada</span> </div> </a> <button aria-controls="toc-Fluxo_através_de_uma_superfície_fechada-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Alternar a subsecção Fluxo através de uma superfície fechada</span> </button> <ul id="toc-Fluxo_através_de_uma_superfície_fechada-sublist" class="vector-toc-list"> <li id="toc-Lei_de_Gauss_para_o_magnetismo" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Lei_de_Gauss_para_o_magnetismo"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>Lei de Gauss para o magnetismo</span> </div> </a> <ul id="toc-Lei_de_Gauss_para_o_magnetismo-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Variação_do_fluxo_de_indução_magnética" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Variação_do_fluxo_de_indução_magnética"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Variação do fluxo de indução magnética</span> </div> </a> <button aria-controls="toc-Variação_do_fluxo_de_indução_magnética-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Alternar a subsecção Variação do fluxo de indução magnética</span> </button> <ul id="toc-Variação_do_fluxo_de_indução_magnética-sublist" class="vector-toc-list"> <li id="toc-Força_eletromotriz_gerada_em_uma_bobina" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Força_eletromotriz_gerada_em_uma_bobina"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>Força eletromotriz gerada em uma bobina</span> </div> </a> <ul id="toc-Força_eletromotriz_gerada_em_uma_bobina-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Ver_também" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Ver_também"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Ver também</span> </div> </a> <ul id="toc-Ver_também-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Referências" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Referências"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Referências</span> </div> </a> <ul id="toc-Referências-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Conteúdo" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Alternar o índice" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Alternar o índice</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Fluxo magnético</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Ir para um artigo noutra língua. Disponível em 64 línguas" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-64" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">64 línguas</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AA%D8%AF%D9%81%D9%82_%D9%85%D8%BA%D9%86%D8%A7%D8%B7%D9%8A%D8%B3%D9%8A" title="تدفق مغناطيسي — árabe" lang="ar" hreflang="ar" data-title="تدفق مغناطيسي" data-language-autonym="العربية" data-language-local-name="árabe" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Fluxu_magn%C3%A9tico" title="Fluxu magnético — asturiano" lang="ast" hreflang="ast" data-title="Fluxu magnético" data-language-autonym="Asturianu" data-language-local-name="asturiano" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Maqnit_seli" title="Maqnit seli — azerbaijano" lang="az" hreflang="az" data-title="Maqnit seli" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaijano" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bar mw-list-item"><a href="https://bar.wikipedia.org/wiki/Magnetischa_Fluss" title="Magnetischa Fluss — Bavarian" lang="bar" hreflang="bar" data-title="Magnetischa Fluss" data-language-autonym="Boarisch" data-language-local-name="Bavarian" class="interlanguage-link-target"><span>Boarisch</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9C%D0%B0%D0%B3%D0%BD%D1%96%D1%82%D0%BD%D1%8B_%D0%BF%D0%B0%D1%82%D0%BE%D0%BA" title="Магнітны паток — bielorrusso" lang="be" hreflang="be" data-title="Магнітны паток" data-language-autonym="Беларуская" data-language-local-name="bielorrusso" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%9C%D0%B0%D0%B3%D0%BD%D1%96%D1%82%D0%BD%D1%8B_%D1%81%D1%82%D1%80%D1%83%D0%BC%D0%B5%D0%BD%D1%8C" title="Магнітны струмень — Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Магнітны струмень" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9C%D0%B0%D0%B3%D0%BD%D0%B8%D1%82%D0%B5%D0%BD_%D0%BF%D0%BE%D1%82%D0%BE%D0%BA" title="Магнитен поток — búlgaro" lang="bg" hreflang="bg" data-title="Магнитен поток" data-language-autonym="Български" data-language-local-name="búlgaro" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%9A%E0%A7%8C%E0%A6%AE%E0%A7%8D%E0%A6%AC%E0%A6%95_%E0%A6%AB%E0%A7%8D%E0%A6%B2%E0%A6%BE%E0%A6%95%E0%A7%8D%E0%A6%B8" title="চৌম্বক ফ্লাক্স — bengalês" lang="bn" hreflang="bn" data-title="চৌম্বক ফ্লাক্স" data-language-autonym="বাংলা" data-language-local-name="bengalês" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Magnetni_tok" title="Magnetni tok — bósnio" lang="bs" hreflang="bs" data-title="Magnetni tok" data-language-autonym="Bosanski" data-language-local-name="bósnio" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Flux_magn%C3%A8tic" title="Flux magnètic — catalão" lang="ca" hreflang="ca" data-title="Flux magnètic" data-language-autonym="Català" data-language-local-name="catalão" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Magnetick%C3%BD_tok" title="Magnetický tok — checo" lang="cs" hreflang="cs" data-title="Magnetický tok" data-language-autonym="Čeština" data-language-local-name="checo" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9C%D0%B0%D0%B3%D0%BD%D0%B8%D1%82%D0%BB%D0%B0_%D1%8E%D1%85%C4%83%D0%BC" title="Магнитла юхăм — chuvash" lang="cv" hreflang="cv" data-title="Магнитла юхăм" data-language-autonym="Чӑвашла" data-language-local-name="chuvash" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Magnetisk_flux" title="Magnetisk flux — dinamarquês" lang="da" hreflang="da" data-title="Magnetisk flux" data-language-autonym="Dansk" data-language-local-name="dinamarquês" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Magnetischer_Fluss" title="Magnetischer Fluss — alemão" lang="de" hreflang="de" data-title="Magnetischer Fluss" data-language-autonym="Deutsch" data-language-local-name="alemão" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9C%CE%B1%CE%B3%CE%BD%CE%B7%CF%84%CE%B9%CE%BA%CE%AE_%CF%81%CE%BF%CE%AE" title="Μαγνητική ροή — grego" lang="el" hreflang="el" data-title="Μαγνητική ροή" data-language-autonym="Ελληνικά" data-language-local-name="grego" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Magnetic_flux" title="Magnetic flux — inglês" lang="en" hreflang="en" data-title="Magnetic flux" data-language-autonym="English" data-language-local-name="inglês" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Magneta_flukso" title="Magneta flukso — esperanto" lang="eo" hreflang="eo" data-title="Magneta flukso" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Flujo_magn%C3%A9tico" title="Flujo magnético — espanhol" lang="es" hreflang="es" data-title="Flujo magnético" data-language-autonym="Español" data-language-local-name="espanhol" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Magnetvoog" title="Magnetvoog — estónio" lang="et" hreflang="et" data-title="Magnetvoog" data-language-autonym="Eesti" data-language-local-name="estónio" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Fluxu_magnetiko" title="Fluxu magnetiko — basco" lang="eu" hreflang="eu" data-title="Fluxu magnetiko" data-language-autonym="Euskara" data-language-local-name="basco" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B4%D8%A7%D8%B1_%D9%85%D8%BA%D9%86%D8%A7%D8%B7%DB%8C%D8%B3%DB%8C" title="شار مغناطیسی — persa" lang="fa" hreflang="fa" data-title="شار مغناطیسی" data-language-autonym="فارسی" data-language-local-name="persa" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Magneettivuo" title="Magneettivuo — finlandês" lang="fi" hreflang="fi" data-title="Magneettivuo" data-language-autonym="Suomi" data-language-local-name="finlandês" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Flux_magn%C3%A9tique" title="Flux magnétique — francês" lang="fr" hreflang="fr" data-title="Flux magnétique" data-language-autonym="Français" data-language-local-name="francês" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Flosc_maighn%C3%A9adach" title="Flosc maighnéadach — irlandês" lang="ga" hreflang="ga" data-title="Flosc maighnéadach" data-language-autonym="Gaeilge" data-language-local-name="irlandês" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Fluxo_magn%C3%A9tico" title="Fluxo magnético — galego" lang="gl" hreflang="gl" data-title="Fluxo magnético" data-language-autonym="Galego" data-language-local-name="galego" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%9A%E0%A5%81%E0%A4%AE%E0%A5%8D%E0%A4%AC%E0%A4%95%E0%A5%80%E0%A4%AF_%E0%A4%85%E0%A4%AD%E0%A4%BF%E0%A4%B5%E0%A4%BE%E0%A4%B9" title="चुम्बकीय अभिवाह — hindi" lang="hi" hreflang="hi" data-title="चुम्बकीय अभिवाह" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Magnetski_tok" title="Magnetski tok — croata" lang="hr" hreflang="hr" data-title="Magnetski tok" data-language-autonym="Hrvatski" data-language-local-name="croata" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Flux_mayetik" title="Flux mayetik — haitiano" lang="ht" hreflang="ht" data-title="Flux mayetik" data-language-autonym="Kreyòl ayisyen" data-language-local-name="haitiano" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%84%D5%A1%D5%A3%D5%B6%D5%AB%D5%BD%D5%A1%D5%AF%D5%A1%D5%B6_%D5%B0%D5%B8%D5%BD%D6%84" title="Մագնիսական հոսք — arménio" lang="hy" hreflang="hy" data-title="Մագնիսական հոսք" data-language-autonym="Հայերեն" data-language-local-name="arménio" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Fluks_magnetik" title="Fluks magnetik — indonésio" lang="id" hreflang="id" data-title="Fluks magnetik" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonésio" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Segulfl%C3%A6%C3%B0i" title="Segulflæði — islandês" lang="is" hreflang="is" data-title="Segulflæði" data-language-autonym="Íslenska" data-language-local-name="islandês" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Flusso_magnetico" title="Flusso magnetico — italiano" lang="it" hreflang="it" data-title="Flusso magnetico" data-language-autonym="Italiano" data-language-local-name="italiano" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E7%A3%81%E6%9D%9F" title="磁束 — japonês" lang="ja" hreflang="ja" data-title="磁束" data-language-autonym="日本語" data-language-local-name="japonês" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%9B%E1%83%90%E1%83%92%E1%83%9C%E1%83%98%E1%83%A2%E1%83%A3%E1%83%A0%E1%83%98_%E1%83%9C%E1%83%90%E1%83%99%E1%83%90%E1%83%93%E1%83%98" title="მაგნიტური ნაკადი — georgiano" lang="ka" hreflang="ka" data-title="მაგნიტური ნაკადი" data-language-autonym="ქართული" data-language-local-name="georgiano" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%9E%90%EA%B8%B0_%EC%84%A0%EC%86%8D" title="자기 선속 — coreano" lang="ko" hreflang="ko" data-title="자기 선속" data-language-autonym="한국어" data-language-local-name="coreano" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Magn%C4%93tisk%C4%81s_indukcijas_pl%C5%ABsma" title="Magnētiskās indukcijas plūsma — letão" lang="lv" hreflang="lv" data-title="Magnētiskās indukcijas plūsma" data-language-autonym="Latviešu" data-language-local-name="letão" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9C%D0%B0%D0%B3%D0%BD%D0%B5%D1%82%D0%B5%D0%BD_%D1%82%D0%B5%D0%BA" title="Магнетен тек — macedónio" lang="mk" hreflang="mk" data-title="Магнетен тек" data-language-autonym="Македонски" data-language-local-name="macedónio" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%A1%D0%BE%D1%80%D0%BE%D0%BD%D0%B7%D0%BE%D0%BD_%D1%83%D1%80%D1%81%D0%B3%D0%B0%D0%BB" title="Соронзон урсгал — mongol" lang="mn" hreflang="mn" data-title="Соронзон урсгал" data-language-autonym="Монгол" data-language-local-name="mongol" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%9A%E0%A5%81%E0%A4%82%E0%A4%AC%E0%A4%95%E0%A5%80_%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%B5%E0%A4%BE%E0%A4%B9" title="चुंबकी प्रवाह — marata" lang="mr" hreflang="mr" data-title="चुंबकी प्रवाह" data-language-autonym="मराठी" data-language-local-name="marata" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Fluks_magnet" title="Fluks magnet — malaio" lang="ms" hreflang="ms" data-title="Fluks magnet" data-language-autonym="Bahasa Melayu" data-language-local-name="malaio" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Magnetische_flux" title="Magnetische flux — neerlandês" lang="nl" hreflang="nl" data-title="Magnetische flux" data-language-autonym="Nederlands" data-language-local-name="neerlandês" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-no badge-Q70894304 mw-list-item" title=""><a href="https://no.wikipedia.org/wiki/Magnetisk_fluks" title="Magnetisk fluks — norueguês bokmål" lang="nb" hreflang="nb" data-title="Magnetisk fluks" data-language-autonym="Norsk bokmål" data-language-local-name="norueguês bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Strumie%C5%84_indukcji_magnetycznej" title="Strumień indukcji magnetycznej — polaco" lang="pl" hreflang="pl" data-title="Strumień indukcji magnetycznej" data-language-autonym="Polski" data-language-local-name="polaco" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Flux_magnetic" title="Flux magnetic — romeno" lang="ro" hreflang="ro" data-title="Flux magnetic" data-language-autonym="Română" data-language-local-name="romeno" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9C%D0%B0%D0%B3%D0%BD%D0%B8%D1%82%D0%BD%D1%8B%D0%B9_%D0%BF%D0%BE%D1%82%D0%BE%D0%BA" title="Магнитный поток — russo" lang="ru" hreflang="ru" data-title="Магнитный поток" data-language-autonym="Русский" data-language-local-name="russo" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Magnetni_tok" title="Magnetni tok — servo-croata" lang="sh" hreflang="sh" data-title="Magnetni tok" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="servo-croata" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Magnetic_flux" title="Magnetic flux — Simple English" lang="en-simple" hreflang="en-simple" data-title="Magnetic flux" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Magnetick%C3%BD_induk%C4%8Dn%C3%BD_tok" title="Magnetický indukčný tok — eslovaco" lang="sk" hreflang="sk" data-title="Magnetický indukčný tok" data-language-autonym="Slovenčina" data-language-local-name="eslovaco" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Magnetni_pretok" title="Magnetni pretok — esloveno" lang="sl" hreflang="sl" data-title="Magnetni pretok" data-language-autonym="Slovenščina" data-language-local-name="esloveno" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Fluksi_magnetik" title="Fluksi magnetik — albanês" lang="sq" hreflang="sq" data-title="Fluksi magnetik" data-language-autonym="Shqip" data-language-local-name="albanês" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9C%D0%B0%D0%B3%D0%BD%D0%B5%D1%82%D1%81%D0%BA%D0%B8_%D1%84%D0%BB%D1%83%D0%BA%D1%81" title="Магнетски флукс — sérvio" lang="sr" hreflang="sr" data-title="Магнетски флукс" data-language-autonym="Српски / srpski" data-language-local-name="sérvio" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Magnetfl%C3%B6de" title="Magnetflöde — sueco" lang="sv" hreflang="sv" data-title="Magnetflöde" data-language-autonym="Svenska" data-language-local-name="sueco" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%95%E0%AE%BE%E0%AE%A8%E0%AF%8D%E0%AE%A4%E0%AE%AA%E0%AF%8D%E0%AE%AA%E0%AE%BE%E0%AE%AF%E0%AE%AE%E0%AF%8D" title="காந்தப்பாயம் — tâmil" lang="ta" hreflang="ta" data-title="காந்தப்பாயம்" data-language-autonym="தமிழ்" data-language-local-name="tâmil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%85%E0%B0%AF%E0%B0%B8%E0%B1%8D%E0%B0%95%E0%B0%BE%E0%B0%82%E0%B0%A4_%E0%B0%85%E0%B0%AD%E0%B0%BF%E0%B0%B5%E0%B0%BE%E0%B0%B9%E0%B0%82" title="అయస్కాంత అభివాహం — telugu" lang="te" hreflang="te" data-title="అయస్కాంత అభివాహం" data-language-autonym="తెలుగు" data-language-local-name="telugu" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%9F%E0%B8%A5%E0%B8%B1%E0%B8%81%E0%B8%8B%E0%B9%8C%E0%B9%81%E0%B8%A1%E0%B9%88%E0%B9%80%E0%B8%AB%E0%B8%A5%E0%B9%87%E0%B8%81" title="ฟลักซ์แม่เหล็ก — tailandês" lang="th" hreflang="th" data-title="ฟลักซ์แม่เหล็ก" data-language-autonym="ไทย" data-language-local-name="tailandês" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Manyetik_ak%C4%B1" title="Manyetik akı — turco" lang="tr" hreflang="tr" data-title="Manyetik akı" data-language-autonym="Türkçe" data-language-local-name="turco" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%9C%D0%B0%D0%B3%D0%BD%D0%B8%D1%82_%D0%B0%D0%B3%D1%8B%D0%BC%D1%8B" title="Магнит агымы — tatar" lang="tt" hreflang="tt" data-title="Магнит агымы" data-language-autonym="Татарча / tatarça" data-language-local-name="tatar" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9C%D0%B0%D0%B3%D0%BD%D1%96%D1%82%D0%BD%D0%B8%D0%B9_%D0%BF%D0%BE%D1%82%D1%96%D0%BA" title="Магнітний потік — ucraniano" lang="uk" hreflang="uk" data-title="Магнітний потік" data-language-autonym="Українська" data-language-local-name="ucraniano" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D9%85%D9%82%D9%86%D8%A7%D8%B7%DB%8C%D8%B3%DB%8C_%D8%B3%DB%8C%D9%84%D8%A7%D9%86" title="مقناطیسی سیلان — urdu" lang="ur" hreflang="ur" data-title="مقناطیسی سیلان" data-language-autonym="اردو" data-language-local-name="urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Magnit_oqim" title="Magnit oqim — usbeque" lang="uz" hreflang="uz" data-title="Magnit oqim" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="usbeque" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/T%E1%BB%AB_th%C3%B4ng" title="Từ thông — vietnamita" lang="vi" hreflang="vi" data-title="Từ thông" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamita" class="interlanguage-link-target"><span>Tiếng 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title=""History of electromagnetic theory" na Wikipédia em English">en</span></a>]</small></li> <li>Livros didáticos<span title="artigo inexistente: “”"></span> <small style="font-style:normal; position:relative; top:-0.2em;">[<a href="https://en.wikipedia.org/wiki/List_of_textbooks_in_electromagnetism" class="extiw" title="en:List of textbooks in electromagnetism"><span title=""List of textbooks in electromagnetism" na Wikipédia em English">en</span></a>]</small></li></ul></td> </tr><tr><td class="hlist" style="padding:0 0.1em 0.4em"> <div class="NavFrame collapsed" style="border:none;padding:0"><div class="NavHead" style="font-size:105%;background:transparent;text-align:left;color:inherit;background:transparent;border-top:1px solid #aaa;text-align:center;"><a href="/wiki/Eletrost%C3%A1tica" title="Eletrostática">Eletrostática</a></div><div class="NavContent hlist" style="font-size:105%;padding:0.2em 0 0.4em;text-align:center"> <ul><li><a href="/wiki/Carga_el%C3%A9trica" title="Carga elétrica">Carga elétrica</a></li> <li><a href="/wiki/Lei_de_Coulomb" title="Lei de Coulomb">Lei de Coulomb</a></li> <li><a href="/wiki/Condutor_el%C3%A9trico" title="Condutor elétrico">Condutor</a></li> <li><a href="/wiki/Densidade_de_carga" title="Densidade de carga">Densidade de carga</a></li> <li><a href="/wiki/Permissividade" title="Permissividade">Permissividade</a></li> <li><a href="/wiki/Momento_do_dipolo_el%C3%A9trico" title="Momento do dipolo elétrico">Momento do dipolo elétrico</a></li> <li><a href="/wiki/Campo_el%C3%A9trico" title="Campo elétrico">Campo elétrico</a></li> <li><a href="/wiki/Potencial_el%C3%A9trico" title="Potencial elétrico">Potencial elétrico</a></li> <li><a href="/wiki/Fluxo_el%C3%A9trico" title="Fluxo elétrico">Fluxo elétrico</a> / <a href="/wiki/Energia_potencial_el%C3%A9trica" title="Energia potencial elétrica">energia potencial</a></li> <li><a href="/wiki/Descarga_electrost%C3%A1tica" title="Descarga electrostática">Descarga electrostática</a></li> <li><a href="/wiki/Lei_de_Gauss" title="Lei de Gauss">Lei de Gauss</a></li> <li><a href="/wiki/Indu%C3%A7%C3%A3o_eletrost%C3%A1tica" title="Indução eletrostática">Indução</a></li> <li><a href="/wiki/Isolante_el%C3%A9trico" title="Isolante elétrico">Isolante</a></li> <li><a href="/wiki/Densidade_de_polariza%C3%A7%C3%A3o" title="Densidade de polarização">Densidade de polarização</a></li> <li><a href="/wiki/Eletricidade_est%C3%A1tica" title="Eletricidade estática">Eletricidade estática</a></li> <li><a href="/wiki/Efeito_triboel%C3%A9trico" title="Efeito triboelétrico">Efeito triboelétrico</a></li></ul></div></div></td> </tr><tr><td class="hlist" style="padding:0 0.1em 0.4em"> <div class="NavFrame collapsed" style="border:none;padding:0"><div class="NavHead" style="font-size:105%;background:transparent;text-align:left;color:inherit;background:transparent;border-top:1px solid #aaa;text-align:center;"><a href="/wiki/Magnetost%C3%A1tica" title="Magnetostática">Magnetostática</a></div><div class="NavContent hlist" style="font-size:105%;padding:0.2em 0 0.4em;text-align:center"> <ul><li><a href="/wiki/Lei_de_Amp%C3%A8re" title="Lei de Ampère">Lei de Ampère</a></li> <li><a href="/wiki/Lei_de_Biot-Savart" title="Lei de Biot-Savart">Lei de Biot – Savart</a></li> <li><a href="/wiki/Lei_de_Gauss_para_o_magnetismo" title="Lei de Gauss para o magnetismo">Lei de Gauss para o magnetismo</a></li> <li><a href="/wiki/Campo_magn%C3%A9tico" title="Campo magnético">Campo magnético</a></li> <li><a class="mw-selflink selflink">Fluxo magnético</a></li> <li><a href="/wiki/Momento_magn%C3%A9tico" title="Momento magnético">Momento do dipolo magnético</a></li> <li><a href="/wiki/Permeabilidade_magn%C3%A9tica" title="Permeabilidade magnética">Permeabilidade magnética</a></li> <li><a href="/wiki/Potencial_escalar_magn%C3%A9tico" title="Potencial escalar magnético">Potencial escalar magnético</a></li> <li><a href="/wiki/Magnetiza%C3%A7%C3%A3o" class="mw-redirect" title="Magnetização">Magnetização</a><span title="artigo inexistente: “”"></span> <small style="font-style:normal; position:relative; top:-0.2em;">[<a href="https://en.wikipedia.org/wiki/Magnetization" class="extiw" title="en:Magnetization"><span title=""Magnetization" na Wikipédia em English">en</span></a>]</small></li> <li><a href="/wiki/For%C3%A7a_magnetomotriz" title="Força magnetomotriz">Força magnetomotriz</a></li> <li><a href="/wiki/Vetor_potencial_magn%C3%A9tico" title="Vetor potencial magnético">Vetor potencial magnético</a></li> <li>Regra da mão direita<span title="artigo inexistente: “”"></span> <small style="font-style:normal; position:relative; top:-0.2em;">[<a href="https://en.wikipedia.org/wiki/Right-hand_rule#Electromagnetism" class="extiw" title="en:Right-hand rule"><span title=""Right-hand_rule#Electromagnetism" na Wikipédia em English">en</span></a>]</small></li></ul></div></div></td> </tr><tr><td class="hlist" style="padding:0 0.1em 0.4em"> <div class="NavFrame collapsed" style="border:none;padding:0"><div class="NavHead" style="font-size:105%;background:transparent;text-align:left;color:inherit;background:transparent;border-top:1px solid #aaa;text-align:center;"><a href="/wiki/Eletromagnetismo_cl%C3%A1ssico" title="Eletromagnetismo clássico">Eletrodinâmica</a></div><div class="NavContent hlist" style="font-size:105%;padding:0.2em 0 0.4em;text-align:center"> <ul><li><a href="/wiki/For%C3%A7a_de_Lorentz" title="Força de Lorentz">Lei da força de Lorentz</a></li> <li><a href="/wiki/Indu%C3%A7%C3%A3o_eletromagn%C3%A9tica" title="Indução eletromagnética">Indução eletromagnética</a></li> <li><a href="/wiki/Lei_de_Faraday-Neumann-Lenz" title="Lei de Faraday-Neumann-Lenz">Lei de Faraday</a></li> <li><a href="/wiki/Lei_de_Lenz" title="Lei de Lenz">Lei de Lenz</a></li> <li><a href="/wiki/Corrente_de_deslocamento" title="Corrente de deslocamento">Corrente de deslocamento</a></li> <li><a href="/wiki/Equa%C3%A7%C3%B5es_de_Maxwell" title="Equações de Maxwell">Equações de Maxwell</a></li> <li><a href="/wiki/Campo_eletromagn%C3%A9tico" title="Campo eletromagnético">Campo eletromagnético</a></li> <li><a href="/wiki/Pulso_eletromagn%C3%A9tico" title="Pulso eletromagnético">Pulso eletromagnético</a></li> <li><a href="/wiki/Radia%C3%A7%C3%A3o_eletromagn%C3%A9tica" title="Radiação eletromagnética">Radiação eletromagnética</a></li> <li><a href="/wiki/Tensor_de_tens%C3%A3o_de_Maxwell" title="Tensor de tensão de Maxwell">Tensor de Maxwell</a></li> <li><a href="/wiki/Vetor_de_Poynting" class="mw-redirect" title="Vetor de Poynting">Vetor de Poynting</a></li> <li><a href="/wiki/Potenciais_de_Li%C3%A9nard-Wiechert" title="Potenciais de Liénard-Wiechert">Potentiais de Liénard – Wiechert</a></li> <li><a href="/wiki/Equa%C3%A7%C3%B5es_de_Jefimenko" title="Equações de Jefimenko">Equações de Jefimenko</a></li> <li><a href="/wiki/Corrente_de_Foucault" title="Corrente de Foucault">Corrente de Foucault</a></li> <li><span title="artigo inexistente: “Equações de London”">Equações de London</span> <small style="font-style:normal; position:relative; top:-0.2em;">[<a href="https://en.wikipedia.org/wiki/London_equations" class="extiw" title="en:London equations"><span title=""London equations" na Wikipédia em English">en</span></a>]</small></li></ul> <ul><li><div style="padding:0.2em 0.4em; line-height:1.2em;"><span title="artigo inexistente: “Descrições matemáticas do campo eletromagnético”">Descrições matemáticas do campo eletromagnético</span> <small style="font-style:normal; position:relative; top:-0.2em;">[<a href="https://en.wikipedia.org/wiki/Mathematical_descriptions_of_the_electromagnetic_field" class="extiw" title="en:Mathematical descriptions of the electromagnetic field"><span title=""Mathematical descriptions of the electromagnetic field" na Wikipédia em English">en</span></a>]</small></div></li></ul></div></div></td> </tr><tr><td class="hlist" style="padding:0 0.1em 0.4em"> <div class="NavFrame collapsed" 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title="Lei de Joule">Lei de Joule</a></li> <li><a href="/wiki/For%C3%A7a_eletromotriz" title="Força eletromotriz">Força eletromotriz</a></li> <li><a href="/wiki/Imped%C3%A2ncia_el%C3%A9trica" title="Impedância elétrica">Impedância</a></li> <li><a href="/wiki/Indut%C3%A2ncia" title="Indutância">Indutância</a></li> <li><a href="/wiki/Lei_de_Ohm" title="Lei de Ohm">Lei de Ohm</a></li> <li><a href="/w/index.php?title=Circuitos_em_s%C3%A9rie_e_em_paralelo&action=edit&redlink=1" class="new" title="Circuitos em série e em paralelo (página não existe)">Circuito paralelo</a></li> <li>Resistência<span title="artigo inexistente: “”"></span> <small style="font-style:normal; position:relative; top:-0.2em;">[<a href="https://en.wikipedia.org/wiki/Electrical_resistance_and_conductance" class="extiw" title="en:Electrical resistance and conductance"><span title=""Electrical resistance and conductance" na Wikipédia em English">en</span></a>]</small></li> <li>Cavidades ressonantes<span title="artigo inexistente: “”"></span> <small style="font-style:normal; position:relative; top:-0.2em;">[<a href="https://en.wikipedia.org/wiki/Resonator#Electromagnetics" class="extiw" title="en:Resonator"><span title=""Resonator#Electromagnetics" na Wikipédia em English">en</span></a>]</small></li> <li><a href="/w/index.php?title=Circuitos_em_s%C3%A9rie_e_em_paralelo&action=edit&redlink=1" class="new" title="Circuitos em série e em paralelo (página não existe)">Circuito em série</a></li> <li><a href="/wiki/Tens%C3%A3o_el%C3%A9trica" title="Tensão elétrica">Tensão elétrica</a></li> <li><a href="/wiki/Guia_de_onda_circular" title="Guia de onda circular">Guias de onda</a></li></ul></div></div></td> </tr><tr><td class="hlist" style="padding:0 0.1em 0.4em"> <div class="NavFrame collapsed" style="border:none;padding:0"><div class="NavHead" style="font-size:105%;background:transparent;text-align:left;color:inherit;background:transparent;border-top:1px solid #aaa;text-align:center;">Formulação covariante<span title="artigo inexistente: “”"></span> <small style="font-style:normal; position:relative; top:-0.2em;">[<a href="https://en.wikipedia.org/wiki/Covariant_formulation_of_classical_electromagnetism" class="extiw" title="en:Covariant formulation of classical electromagnetism"><span title=""Covariant formulation of classical electromagnetism" na Wikipédia em English">en</span></a>]</small></div><div class="NavContent hlist" style="font-size:105%;padding:0.2em 0 0.4em;text-align:center"> <ul><li><div style="padding:0.2em 0.4em; line-height:1.2em;"><a href="/wiki/Tensor_eletromagn%C3%A9tico" title="Tensor eletromagnético">Tensor eletromagnético</a><br />(<a href="/wiki/Tensor_eletromagn%C3%A9tico_tens%C3%A3o%E2%80%93energia" class="mw-redirect" title="Tensor eletromagnético tensão–energia">Tensor de tensão–energia</a>)</div></li> <li><a href="/wiki/Quadricorrente" title="Quadricorrente">Quadricorrente</a></li> <li><a href="/wiki/Quadripotencial_eletromagn%C3%A9tico" title="Quadripotencial eletromagnético">Quadripotencial eletromagnético</a></li></ul></div></div></td> </tr><tr><td class="hlist" style="padding:0 0.1em 0.4em"> <div class="NavFrame collapsed" style="border:none;padding:0"><div class="NavHead" style="font-size:105%;background:transparent;text-align:left;color:inherit;background:transparent;border-top:1px solid #aaa;text-align:center;">Cientistas</div><div class="NavContent hlist" style="font-size:105%;padding:0.2em 0 0.4em;text-align:center"> <ul><li><a href="/wiki/Andr%C3%A9-Marie_Amp%C3%A8re" title="André-Marie Ampère">Ampère</a></li> <li><a href="/wiki/Jean-Baptiste_Biot" title="Jean-Baptiste Biot">Biot</a></li> <li><a href="/wiki/Charles-Augustin_de_Coulomb" class="mw-redirect" title="Charles-Augustin de Coulomb">Coulomb</a></li> <li><a href="/wiki/Humphry_Davy" title="Humphry Davy">Davy</a></li> <li><a href="/wiki/Albert_Einstein" title="Albert Einstein">Einstein</a></li> <li><a href="/wiki/Michael_Faraday" title="Michael Faraday">Faraday</a></li> <li><a href="/wiki/Hippolyte_Fizeau" title="Hippolyte Fizeau">Fizeau</a></li> <li><a href="/wiki/Carl_Friedrich_Gauss" title="Carl Friedrich Gauss">Gauss</a></li> <li><a href="/wiki/Oliver_Heaviside" title="Oliver Heaviside">Heaviside</a></li> <li><a href="/wiki/Joseph_Henry" title="Joseph Henry">Henry</a></li> <li><a href="/wiki/Heinrich_Hertz" title="Heinrich Hertz">Hertz</a></li> <li><a href="/wiki/John_Hopkinson" title="John Hopkinson">Hopkinson</a></li> <li>Jefimenko<span title="artigo inexistente: “”"></span> <small style="font-style:normal; position:relative; top:-0.2em;">[<a href="https://en.wikipedia.org/wiki/Oleg_D._Jefimenko" class="extiw" title="en:Oleg D. Jefimenko"><span title=""Oleg D. Jefimenko" na Wikipédia em English">en</span></a>]</small></li> <li><a href="/wiki/James_Prescott_Joule" title="James Prescott Joule">Joule</a></li> <li><a href="/wiki/Heinrich_Lenz" title="Heinrich Lenz">Lenz</a></li> <li><a href="/wiki/Alfred-Marie_Li%C3%A9nard" title="Alfred-Marie Liénard">Liénard</a></li> <li><a href="/wiki/Hendrik_Lorentz" title="Hendrik Lorentz">Lorentz</a></li> <li><a href="/wiki/James_Clerk_Maxwell" title="James Clerk Maxwell">Maxwell</a></li> <li><a href="/wiki/Franz_Ernst_Neumann" title="Franz Ernst Neumann">Neumann</a></li> <li><a href="/wiki/Hans_Christian_%C3%98rsted" title="Hans Christian Ørsted">Ørsted</a></li> <li><a href="/wiki/Georg_Ohm" class="mw-redirect" title="Georg Ohm">Ohm</a></li> <li><a href="/wiki/John_Henry_Poynting" title="John Henry Poynting">Poynting</a></li> <li>Ritchie<span title="artigo inexistente: “”"></span> <small style="font-style:normal; position:relative; top:-0.2em;">[<a href="https://en.wikipedia.org/wiki/William_Ritchie_(physicist)" class="extiw" title="en:William Ritchie (physicist)"><span title=""William Ritchie (physicist)" na Wikipédia em English">en</span></a>]</small></li> <li><a href="/wiki/F%C3%A9lix_Savart" title="Félix Savart">Savart</a></li> <li>Singer<span title="artigo inexistente: “”"></span> <small style="font-style:normal; position:relative; top:-0.2em;">[<a href="https://en.wikipedia.org/wiki/George_Singer" class="extiw" title="en:George Singer"><span title=""George Singer" na Wikipédia em English">en</span></a>]</small></li> <li><a href="/wiki/Charles_Proteus_Steinmetz" title="Charles Proteus Steinmetz">Steinmetz</a></li> <li><a href="/wiki/Nikola_Tesla" title="Nikola Tesla">Tesla</a></li> <li><a href="/wiki/William_Thomson" title="William Thomson">Thomson</a></li> <li><a href="/wiki/Alessandro_Volta" title="Alessandro Volta">Volta</a></li> <li><a href="/wiki/Wilhelm_Eduard_Weber" title="Wilhelm Eduard Weber">Weber</a></li> <li><a href="/wiki/Emil_Wiechert" title="Emil Wiechert">Wiechert</a></li> <li><a href="/wiki/Sim%C3%A9on_Denis_Poisson" title="Siméon Denis Poisson">Poisson</a></li></ul></div></div></td> </tr><tr><td style="text-align:right;font-size:115%;padding-top: 0.6em;"><div class="plainlinks hlist navbar mini"><ul><li class="nv-ver"><a href="/wiki/Predefini%C3%A7%C3%A3o:Eletromagnetismo" title="Predefinição:Eletromagnetismo"><abbr title="Ver esta predefinição">v</abbr></a></li><li class="nv-discutir"><a href="/wiki/Predefini%C3%A7%C3%A3o_Discuss%C3%A3o:Eletromagnetismo" title="Predefinição Discussão:Eletromagnetismo"><abbr title="Discutir esta predefinição">d</abbr></a></li><li class="nv-editar"><a class="external text" href="https://pt.wikipedia.org/w/index.php?title=Predefini%C3%A7%C3%A3o:Eletromagnetismo&action=edit"><abbr title="Editar esta predefinição">e</abbr></a></li></ul></div></td></tr></tbody></table> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Ficheiro:Fluxo_magnetico.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c8/Fluxo_magnetico.jpg/220px-Fluxo_magnetico.jpg" decoding="async" width="220" height="153" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c8/Fluxo_magnetico.jpg/330px-Fluxo_magnetico.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c8/Fluxo_magnetico.jpg/440px-Fluxo_magnetico.jpg 2x" data-file-width="684" data-file-height="475" /></a><figcaption> Fluxo magnético através de uma superfície. O campo magnético <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {B}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>B</mi> <mo stretchy="false">→<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {B}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/83ae7d80cab55b606de217162280b2279142bbb4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.764ex; height:2.843ex;" alt="{\displaystyle {\vec {B}}}"></span> que atravessa a superfície forma um ângulo <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \theta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>θ<!-- θ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \theta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6e5ab2664b422d53eb0c7df3b87e1360d75ad9af" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.09ex; height:2.176ex;" alt="{\displaystyle \theta }"></span> com elemento infinitesimal de área <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {dA}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi>d</mi> <mi>A</mi> </mrow> <mo stretchy="false">→<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {dA}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1e3ec2c69fede73a9c2db8174b0cba7a339ef5a2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.959ex; height:3.676ex;" alt="{\displaystyle {\vec {dA}}}"></span> (normal à superfície) </figcaption></figure> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Ficheiro:Fluxo_bobina.jpeg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/2/2e/Fluxo_bobina.jpeg" decoding="async" width="178" height="133" class="mw-file-element" data-file-width="178" data-file-height="133" /></a><figcaption>Fluxo magnético através de uma bobina. O fluxo através de cada volta é igual e assim o fluxo total é a soma desses fluxos. Mas é preciso lembrar que essa consideração somente é válida se as voltas estão suficientemente próximas umas das outras.</figcaption></figure> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Ficheiro:Fluxo_superficie_fechada.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3b/Fluxo_superficie_fechada.jpg/220px-Fluxo_superficie_fechada.jpg" decoding="async" width="220" height="295" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3b/Fluxo_superficie_fechada.jpg/330px-Fluxo_superficie_fechada.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3b/Fluxo_superficie_fechada.jpg/440px-Fluxo_superficie_fechada.jpg 2x" data-file-width="717" data-file-height="960" /></a><figcaption>Fluxo magnético através de uma superfície fechada. Pode-se ver que as linhas de campo que entram por um lado da superfície saem pelo outro. Sendo assim, o fluxo magnético resultante é zero.</figcaption></figure> <p>O <b>fluxo magnético</b>, representado pela letra grega Φ ou Φ<sub>B</sub>, é análogo ao <a href="/wiki/Fluxo_el%C3%A9trico" title="Fluxo elétrico">fluxo elétrico</a>.<sup id="cite_ref-referencias_1-0" class="reference"><a href="#cite_note-referencias-1"><span>[</span>1<span>]</span></a></sup> A unidade no <a href="/wiki/Sistema_Internacional_de_Unidades" title="Sistema Internacional de Unidades"> SI</a> é o <a href="/wiki/Weber_(unidade)" title="Weber (unidade)">weber</a>, unidade equivalente ao tesla-metro quadrado (Tm²),<sup id="cite_ref-multipla_2-0" class="reference"><a href="#cite_note-multipla-2"><span>[</span>2<span>]</span></a></sup> dado que o campo magnético mede-se em tesla (T) e a área em metro quadrado (m²). </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Definição"><span id="Defini.C3.A7.C3.A3o"></span>Definição</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fluxo_magn%C3%A9tico&veaction=edit&section=1" title="Editar secção: Definição" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Fluxo_magn%C3%A9tico&action=edit&section=1" title="Editar código-fonte da secção: Definição"><span>editar código-fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Por definição, o <a href="/wiki/Fluxo_(f%C3%ADsica)" title="Fluxo (física)">fluxo</a> do campo magnético <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {B}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>B</mi> <mo stretchy="false">→<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {B}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/83ae7d80cab55b606de217162280b2279142bbb4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.764ex; height:2.843ex;" alt="{\displaystyle {\vec {B}}}"></span> através de uma superfície orientada <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {A}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>A</mi> <mo stretchy="false">→<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {A}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/391292ffadc65b0cde3e96f23afcdb811619dd95" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.743ex; height:3.009ex;" alt="{\displaystyle {\vec {A}}}"></span> é calculado como a integral do <a href="/wiki/Produto_escalar" title="Produto escalar">produto escalar</a> do vetor campo magnético <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {B}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>B</mi> <mo stretchy="false">→<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {B}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/83ae7d80cab55b606de217162280b2279142bbb4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.764ex; height:2.843ex;" alt="{\displaystyle {\vec {B}}}"></span> pelo elemento diferencial de área <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {dA}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi>d</mi> <mi>A</mi> </mrow> <mo stretchy="false">→<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {dA}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1e3ec2c69fede73a9c2db8174b0cba7a339ef5a2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.959ex; height:3.676ex;" alt="{\displaystyle {\vec {dA}}}"></span> ao longo de toda a superfície S em consideração.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span>[</span>3<span>]</span></a></sup> </p><p>Matematicamente temos: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Phi =\int _{S}{\vec {B}}\cdot {\vec {dA}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Φ<!-- Φ --></mi> <mo>=</mo> <msub> <mo>∫<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>S</mi> </mrow> </msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>B</mi> <mo stretchy="false">→<!-- → --></mo> </mover> </mrow> </mrow> <mo>⋅<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi>d</mi> <mi>A</mi> </mrow> <mo stretchy="false">→<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Phi =\int _{S}{\vec {B}}\cdot {\vec {dA}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/93475dc52db8b289bda270a8dc294dac1c024049" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:14.151ex; height:5.676ex;" alt="{\displaystyle \Phi =\int _{S}{\vec {B}}\cdot {\vec {dA}}}"></span> </p> <div class="mw-heading mw-heading2"><h2 id="Casos_particulares">Casos particulares</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fluxo_magn%C3%A9tico&veaction=edit&section=2" title="Editar secção: Casos particulares" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Fluxo_magn%C3%A9tico&action=edit&section=2" title="Editar código-fonte da secção: Casos particulares"><span>editar código-fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Campo_uniforme">Campo uniforme</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fluxo_magn%C3%A9tico&veaction=edit&section=3" title="Editar secção: Campo uniforme" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Fluxo_magn%C3%A9tico&action=edit&section=3" title="Editar código-fonte da secção: Campo uniforme"><span>editar código-fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Existem situações onde o cálculo acima pode ser simplificado. Isso ocorre quando a superfície, pela qual se tem a passagem das <a href="/wiki/Linha_de_campo" title="Linha de campo">linhas de campo</a>, é plana e <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {B}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>B</mi> <mo stretchy="false">→<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {B}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/83ae7d80cab55b606de217162280b2279142bbb4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.764ex; height:2.843ex;" alt="{\displaystyle {\vec {B}}}"></span> é uniforme (apresenta mesma magnitude e direção) em toda superfície. Nesses casos o fluxo através da superfície será dado por:<sup id="cite_ref-referencias_multiplas_4-0" class="reference"><a href="#cite_note-referencias_multiplas-4"><span>[</span>4<span>]</span></a></sup> </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Phi ={\vec {B}}\cdot {\vec {A}}=BA\cos \theta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Φ<!-- Φ --></mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>B</mi> <mo stretchy="false">→<!-- → --></mo> </mover> </mrow> </mrow> <mo>⋅<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>A</mi> <mo stretchy="false">→<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mi>B</mi> <mi>A</mi> <mi>cos</mi> <mo>⁡<!-- --></mo> <mi>θ<!-- θ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Phi ={\vec {B}}\cdot {\vec {A}}=BA\cos \theta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d88c62b04f25df7ccae853bbe826096548868f57" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:21.544ex; height:3.009ex;" alt="{\displaystyle \Phi ={\vec {B}}\cdot {\vec {A}}=BA\cos \theta }"></span></dd></dl> <p>Onde, </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {A}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>A</mi> <mo stretchy="false">→<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {A}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/391292ffadc65b0cde3e96f23afcdb811619dd95" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.743ex; height:3.009ex;" alt="{\displaystyle {\vec {A}}}"></span> : é o vetor área - sendo este perpendicular à superfície do material imersa no campo magnético.</dd></dl> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {B}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>B</mi> <mo stretchy="false">→<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {B}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/83ae7d80cab55b606de217162280b2279142bbb4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.764ex; height:2.843ex;" alt="{\displaystyle {\vec {B}}}"></span> : corresponde ao vetor campo magnético.</dd></dl> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \theta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>θ<!-- θ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \theta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6e5ab2664b422d53eb0c7df3b87e1360d75ad9af" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.09ex; height:2.176ex;" alt="{\displaystyle \theta }"></span> : é o ângulo formado entre o vetor <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {B}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>B</mi> <mo stretchy="false">→<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {B}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/83ae7d80cab55b606de217162280b2279142bbb4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.764ex; height:2.843ex;" alt="{\displaystyle {\vec {B}}}"></span> e vetor área <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {A}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>A</mi> <mo stretchy="false">→<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {A}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/391292ffadc65b0cde3e96f23afcdb811619dd95" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.743ex; height:3.009ex;" alt="{\displaystyle {\vec {A}}}"></span>.</dd></dl> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle A,B}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> <mo>,</mo> <mi>B</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A,B}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/96c3298ea9aa77c226be56a7d8515baaa517b90b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:4.541ex; height:2.509ex;" alt="{\displaystyle A,B}"></span> : representam os módulos dos vetores correspondentes.</dd></dl> <p>Existem três maneiras de alterar o fluxo que passa através de uma superfície plana:<sup id="cite_ref-multipla_2-1" class="reference"><a href="#cite_note-multipla-2"><span>[</span>2<span>]</span></a></sup> </p> <ul><li>Mudar o módulo do campo magnético (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle B}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>B</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle B}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/47136aad860d145f75f3eed3022df827cee94d7a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.764ex; height:2.176ex;" alt="{\displaystyle B}"></span> );</li> <li>Mudar a área <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle A}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7daff47fa58cdfd29dc333def748ff5fa4c923e3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.743ex; height:2.176ex;" alt="{\displaystyle A}"></span> da superfície atravessada pelo campo magnético;</li> <li>Mudar o ângulo <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \theta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>θ<!-- θ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \theta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6e5ab2664b422d53eb0c7df3b87e1360d75ad9af" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.09ex; height:2.176ex;" alt="{\displaystyle \theta }"></span> entre <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {B}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>B</mi> <mo stretchy="false">→<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {B}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/83ae7d80cab55b606de217162280b2279142bbb4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.764ex; height:2.843ex;" alt="{\displaystyle {\vec {B}}}"></span> e <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {A}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>A</mi> <mo stretchy="false">→<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {A}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/391292ffadc65b0cde3e96f23afcdb811619dd95" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.743ex; height:3.009ex;" alt="{\displaystyle {\vec {A}}}"></span>.</li></ul> <div class="mw-heading mw-heading3"><h3 id="Fluxo_através_de_bobinas"><span id="Fluxo_atrav.C3.A9s_de_bobinas"></span>Fluxo através de bobinas</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fluxo_magn%C3%A9tico&veaction=edit&section=4" title="Editar secção: Fluxo através de bobinas" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Fluxo_magn%C3%A9tico&action=edit&section=4" title="Editar código-fonte da secção: Fluxo através de bobinas"><span>editar código-fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Frequentemente se quer obter o fluxo magnético através uma superfície limitada por uma bobina. Se a bobina tem N voltas, então o fluxo total será a soma dos fluxos que passam por cada volta da bobina. Contudo, esse cálculo só pode ser feito se as voltas da bobina foram suficientemente próximas umas das outras para que possam ser consideradas superfícies "limitadas". Sendo assim, para um campo magnético uniforme aplicado sobre a bobina, teremos:<sup id="cite_ref-referencias_multiplas_4-1" class="reference"><a href="#cite_note-referencias_multiplas-4"><span>[</span>4<span>]</span></a></sup> </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Phi =NBA\cos \theta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Φ<!-- Φ --></mi> <mo>=</mo> <mi>N</mi> <mi>B</mi> <mi>A</mi> <mi>cos</mi> <mo>⁡<!-- --></mo> <mi>θ<!-- θ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Phi =NBA\cos \theta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a8a2f6b2959e73a8a5ae5a1064ac322d553ddf28" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:15.323ex; height:2.176ex;" alt="{\displaystyle \Phi =NBA\cos \theta }"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Fluxo_através_de_uma_superfície_fechada"><span id="Fluxo_atrav.C3.A9s_de_uma_superf.C3.ADcie_fechada"></span>Fluxo através de uma superfície fechada</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fluxo_magn%C3%A9tico&veaction=edit&section=5" title="Editar secção: Fluxo através de uma superfície fechada" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Fluxo_magn%C3%A9tico&action=edit&section=5" title="Editar código-fonte da secção: Fluxo através de uma superfície fechada"><span>editar código-fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>O fluxo magnético total através de uma superfície fechada S é igual a zero, como prevê a Lei de Gauss para o magnetismo. Isso ocorre pois todas as linhas de campo que entram por um dos lados da superfície saem pelo outro. Na forma integral temos: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Phi =\oint _{S}{\vec {B}}\cdot {\vec {dA}}=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Φ<!-- Φ --></mi> <mo>=</mo> <msub> <mo>∮<!-- ∮ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>S</mi> </mrow> </msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>B</mi> <mo stretchy="false">→<!-- → --></mo> </mover> </mrow> </mrow> <mo>⋅<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi>d</mi> <mi>A</mi> </mrow> <mo stretchy="false">→<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Phi =\oint _{S}{\vec {B}}\cdot {\vec {dA}}=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ed3b103b3aad3980ba061ef3c5143558fcc4f4ce" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:18.412ex; height:5.676ex;" alt="{\displaystyle \Phi =\oint _{S}{\vec {B}}\cdot {\vec {dA}}=0}"></span></dd></dl> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Ficheiro:Superficies_fechadas.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/43/Superficies_fechadas.jpg/220px-Superficies_fechadas.jpg" decoding="async" width="220" height="418" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/43/Superficies_fechadas.jpg/330px-Superficies_fechadas.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/43/Superficies_fechadas.jpg/440px-Superficies_fechadas.jpg 2x" data-file-width="1052" data-file-height="2000" /></a><figcaption>Exemplos de superfícies fechadas.</figcaption></figure> <p>Dessa equação se pode concluir que o fluxo através de uma superfície fechada independe da superfície em questão (pode ser uma esfera, um cubo, um toroide, etc). <sup id="cite_ref-referencias_1-1" class="reference"><a href="#cite_note-referencias-1"><span>[</span>1<span>]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Lei_de_Gauss_para_o_magnetismo">Lei de Gauss para o magnetismo</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fluxo_magn%C3%A9tico&veaction=edit&section=6" title="Editar secção: Lei de Gauss para o magnetismo" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Fluxo_magn%C3%A9tico&action=edit&section=6" title="Editar código-fonte da secção: Lei de Gauss para o magnetismo"><span>editar código-fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>A Lei de Gauss para o magnetismo é uma das <a href="/wiki/Equa%C3%A7%C3%B5es_de_Maxwell" title="Equações de Maxwell">equações de Maxwell</a>. Essa lei, na forma diferencial, expressa que o divergente do campo magnético é igual a zero. Isso é uma consequência da inexistência de <a href="/wiki/Monopolo_magn%C3%A9tico" title="Monopolo magnético">monopolos magnéticos</a>.<sup id="cite_ref-ref_mult_lorrain_5-0" class="reference"><a href="#cite_note-ref_mult_lorrain-5"><span>[</span>5<span>]</span></a></sup> </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \nabla \cdot {\vec {B}}=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">∇<!-- ∇ --></mi> <mo>⋅<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>B</mi> <mo stretchy="false">→<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \nabla \cdot {\vec {B}}=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/77d6b768c165d3d213f72b3204ae62d39bab1be2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:9.64ex; height:2.843ex;" alt="{\displaystyle \nabla \cdot {\vec {B}}=0}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Variação_do_fluxo_de_indução_magnética"><span id="Varia.C3.A7.C3.A3o_do_fluxo_de_indu.C3.A7.C3.A3o_magn.C3.A9tica"></span>Variação do fluxo de indução magnética</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fluxo_magn%C3%A9tico&veaction=edit&section=7" title="Editar secção: Variação do fluxo de indução magnética" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Fluxo_magn%C3%A9tico&action=edit&section=7" title="Editar código-fonte da secção: Variação do fluxo de indução magnética"><span>editar código-fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Se o fluxo magnético que passa através de uma espira condutora sofre uma variação, uma <a href="/wiki/For%C3%A7a_eletromotriz" title="Força eletromotriz">força eletromotriz</a> é induzida nessa espira. Essa observação foi feita por <a href="/wiki/Michael_Faraday" title="Michael Faraday">Michael Faraday</a> e foi chamada de <a href="/wiki/Lei_de_Faraday-Neumann-Lenz" title="Lei de Faraday-Neumann-Lenz">lei de indução de Faraday</a>, que é matematicamente expressa por:<sup id="cite_ref-multipla_2-2" class="reference"><a href="#cite_note-multipla-2"><span>[</span>2<span>]</span></a></sup> </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathcal {E}}=-{\frac {\Delta \Phi _{B}}{\Delta t}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-caligraphic" mathvariant="script">E</mi> </mrow> </mrow> <mo>=</mo> <mo>−<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">Δ<!-- Δ --></mi> <msub> <mi mathvariant="normal">Φ<!-- Φ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>B</mi> </mrow> </msub> </mrow> <mrow> <mi mathvariant="normal">Δ<!-- Δ --></mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathcal {E}}=-{\frac {\Delta \Phi _{B}}{\Delta t}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bd0cfcc52e6cf7efcbbd1f4436e5006ecbc7d9a0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:12.147ex; height:5.509ex;" alt="{\displaystyle {\mathcal {E}}=-{\frac {\Delta \Phi _{B}}{\Delta t}}}"></span></dd></dl> <p>O sinal negativo se deve à oposição da força eletromotriz à variação do fluxo magnético. Alternativamente, o sinal pode ser definido por meio da <a href="/wiki/Lei_de_Lenz" title="Lei de Lenz">lei de Lenz</a>. </p> <div class="mw-heading mw-heading3"><h3 id="Força_eletromotriz_gerada_em_uma_bobina"><span id="For.C3.A7a_eletromotriz_gerada_em_uma_bobina"></span>Força eletromotriz gerada em uma bobina</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fluxo_magn%C3%A9tico&veaction=edit&section=8" title="Editar secção: Força eletromotriz gerada em uma bobina" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Fluxo_magn%C3%A9tico&action=edit&section=8" title="Editar código-fonte da secção: Força eletromotriz gerada em uma bobina"><span>editar código-fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Análogo ao caso do cálculo de fluxo magnético para a bobina, tem-se para <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathcal {E}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-caligraphic" mathvariant="script">E</mi> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathcal {E}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9c298ed828ff778065aeb5f0f305097f55bb9ae0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.311ex; height:2.176ex;" alt="{\displaystyle {\mathcal {E}}}"></span>: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathcal {E}}=-N{\frac {\Delta \Phi _{B}}{\Delta t}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-caligraphic" mathvariant="script">E</mi> </mrow> </mrow> <mo>=</mo> <mo>−<!-- − --></mo> <mi>N</mi> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">Δ<!-- Δ --></mi> <msub> <mi mathvariant="normal">Φ<!-- Φ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>B</mi> </mrow> </msub> </mrow> <mrow> <mi mathvariant="normal">Δ<!-- Δ --></mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathcal {E}}=-N{\frac {\Delta \Phi _{B}}{\Delta t}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/902d74071451759fbb2643ff6ea47f62ef38494d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:14.211ex; height:5.509ex;" alt="{\displaystyle {\mathcal {E}}=-N{\frac {\Delta \Phi _{B}}{\Delta t}}}"></span></dd></dl> <p>Esse cálculo somente é válido se as voltas da bobina estiverem suficientemente próximas umas das outras para que o fluxo magnético que as atravessa seja igual.<sup id="cite_ref-multipla_2-3" class="reference"><a href="#cite_note-multipla-2"><span>[</span>2<span>]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Ver_também"><span id="Ver_tamb.C3.A9m"></span>Ver também</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fluxo_magn%C3%A9tico&veaction=edit&section=9" title="Editar secção: Ver também" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Fluxo_magn%C3%A9tico&action=edit&section=9" title="Editar código-fonte da secção: Ver também"><span>editar código-fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Magnetismo" title="Magnetismo">Magnetismo</a></li> <li><a href="/wiki/Lei_de_Gauss" title="Lei de Gauss">Lei de Gauss</a></li> <li><a href="/wiki/Fluxo_(f%C3%ADsica)" title="Fluxo (física)">Fluxo (física)</a></li></ul> <h2 id="Referências" style="cursor: help;" title="Esta seção foi configurada para não ser editável diretamente. Edite a página toda ou a seção anterior em vez disso."><span id="Refer.C3.AAncias"></span>Referências</h2> <div class="reflist" style="list-style-type: decimal;"><div class="mw-references-wrap"><ol class="references"> <li id="cite_note-referencias-1"><span class="mw-cite-backlink">↑ <sup><i><b><a href="#cite_ref-referencias_1-0">a</a></b></i></sup> <sup><i><b><a href="#cite_ref-referencias_1-1">b</a></b></i></sup></span> <span class="reference-text"><cite class="citation book">Reitz, John R.; Milford, Frederick J.; Christy, Robert W. <i>Fundamentos da Teoria Eletromagnética</i> 3ª ed. Rio de Janeiro,RJ: Editora Campus. p. 179</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fpt.wikipedia.org%3AFluxo+magn%C3%A9tico&rft.au=Reitz%2C+John+R.%3B+Milford%2C+Frederick+J.%3B+Christy%2C+Robert+W.&rft.btitle=Fundamentos+da+Teoria+Eletromagn%C3%A9tica&rft.edition=3%AA&rft.genre=book&rft.pages=179&rft.place=Rio+de+Janeiro%2CRJ&rft.pub=Editora+Campus&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span><span class="citation-comment" style="display:none; color:#33aa33"> !CS1 manut: Nomes múltiplos: lista de autores (<a href="/wiki/Categoria:!CS1_manut:_Nomes_m%C3%BAltiplos:_lista_de_autores" title="Categoria:!CS1 manut: Nomes múltiplos: lista de autores">link</a>)</span> </span> </li> <li id="cite_note-multipla-2"><span class="mw-cite-backlink">↑ <sup><i><b><a href="#cite_ref-multipla_2-0">a</a></b></i></sup> <sup><i><b><a href="#cite_ref-multipla_2-1">b</a></b></i></sup> <sup><i><b><a href="#cite_ref-multipla_2-2">c</a></b></i></sup> <sup><i><b><a href="#cite_ref-multipla_2-3">d</a></b></i></sup></span> <span class="reference-text"><cite class="citation book">David Halliday & Robert Resnick (2008). <i>Fundamentos de Física - Eletromagnetismo (Volume 3)</i>. Rio de Janeiro,RJ: Editora LTC</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fpt.wikipedia.org%3AFluxo+magn%C3%A9tico&rft.au=David+Halliday+%26+Robert+Resnick&rft.btitle=Fundamentos+de+F%C3sica+-+Eletromagnetismo+%28Volume+3%29&rft.date=2008&rft.genre=book&rft.place=Rio+de+Janeiro%2CRJ&rft.pub=Editora+LTC&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span> </span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><a href="#cite_ref-3">↑</a></span> <span class="reference-text">Élie Lévy, <i>Dictionnaire de Physique</i>, <a href="/w/index.php?title=Presses_universitaires_de_France&action=edit&redlink=1" class="new" title="Presses universitaires de France (página não existe)">PUF</a>, Paris, 1988, page 342 (em francês)</span> </li> <li id="cite_note-referencias_multiplas-4"><span class="mw-cite-backlink">↑ <sup><i><b><a href="#cite_ref-referencias_multiplas_4-0">a</a></b></i></sup> <sup><i><b><a href="#cite_ref-referencias_multiplas_4-1">b</a></b></i></sup></span> <span class="reference-text"><cite class="citation book">Tipler, Paul Allen (2009). <i>Física para cientistas e engenheiros - Volume 2 - Eletricidade e Magnetismo</i>. Rio de Janeiro,RJ: Editora LTC</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fpt.wikipedia.org%3AFluxo+magn%C3%A9tico&rft.au=Tipler%2C+Paul+Allen&rft.btitle=F%C3sica+para+cientistas+e+engenheiros+-+Volume+2+-+Eletricidade+e+Magnetismo&rft.date=2009&rft.genre=book&rft.place=Rio+de+Janeiro%2CRJ&rft.pub=Editora+LTC&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span> </span> </li> <li id="cite_note-ref_mult_lorrain-5"><span class="mw-cite-backlink"><a href="#cite_ref-ref_mult_lorrain_5-0">↑</a></span> <span class="reference-text"><cite class="citation book">Lorrain, Paul; Corson, Dale; Lorrain, François (2000). <i>Campos e Ondas Eletromagnéticas</i>. Lisboa, Portugal: Edição da Fundação Calouste Gulbenkian. p. 335,336. <a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Especial:Fontes_de_livros/972-31-0889-5" title="Especial:Fontes de livros/972-31-0889-5">972-31-0889-5</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fpt.wikipedia.org%3AFluxo+magn%C3%A9tico&rft.au=Lorrain%2C+Paul%3B+Corson%2C+Dale%3B+Lorrain%2C+Fran%C3%A7ois&rft.btitle=Campos+e+Ondas+Eletromagn%C3%A9ticas&rft.date=2000&rft.genre=book&rft.isbn=972-31-0889-5&rft.pages=335%2C336&rft.place=Lisboa%2C+Portugal&rft.pub=Edi%C3%A7%C3%A3o+da+Funda%C3%A7%C3%A3o+Calouste+Gulbenkian&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span><span class="citation-comment" style="display:none; color:#33aa33"> !CS1 manut: Nomes múltiplos: lista de autores (<a href="/wiki/Categoria:!CS1_manut:_Nomes_m%C3%BAltiplos:_lista_de_autores" title="Categoria:!CS1 manut: Nomes múltiplos: lista de autores">link</a>)</span> </span> </li> </ol></div></div> <!-- NewPP limit report Parsed by mw‐web.eqiad.main‐7649cfcddd‐kr9tx Cached time: 20241127115454 Cache expiry: 2592000 Reduced expiry: false Complications: [show‐toc] CPU time usage: 0.151 seconds Real time usage: 0.519 seconds Preprocessor visited node count: 1326/1000000 Post‐expand include size: 52576/2097152 bytes Template argument size: 2208/2097152 bytes Highest expansion depth: 14/100 Expensive parser function count: 2/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 7327/5000000 bytes Lua time usage: 0.035/10.000 seconds Lua memory usage: 1955863/52428800 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 119.662 1 -total 52.88% 63.274 1 Predefinição:Referências 42.12% 50.406 1 Predefinição:Eletromagnetismo 39.18% 46.882 1 Predefinição:Menu_lateral_ocultável 31.16% 37.281 4 Predefinição:Citar_livro 17.31% 20.714 12 Predefinição:Ill 13.69% 16.382 1 Predefinição:Fr 10.93% 13.073 12 Predefinição:Ill/link 10.60% 12.690 1 Predefinição:(())-meta1 9.40% 11.251 1 Predefinição:Língua-meta --> <!-- Saved in parser cache with key ptwiki:pcache:756614:|#|:idhash:canonical and timestamp 20241127115454 and revision id 66122530. 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