Seri ve paralel devreler

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class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">kenar çubuğuna taşı</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">gizle</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li 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">Giriş</div> </a> </li> <li id="toc-Seri_devre" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Seri_devre"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Seri devre</span> </div> </a> <ul id="toc-Seri_devre-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Paralel_devre" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Paralel_devre"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Paralel devre</span> </div> </a> <ul id="toc-Paralel_devre-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Devre_elemanları" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Devre_elemanları"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Devre elemanları</span> </div> </a> <ul id="toc-Devre_elemanları-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Örnek" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Örnek"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Örnek</span> </div> </a> <button aria-controls="toc-Örnek-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>Örnek alt bölümünü aç/kapa</span> </button> <ul id="toc-Örnek-sublist" class="vector-toc-list"> <li id="toc-Seri_devre_2" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Seri_devre_2"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>Seri devre</span> </div> </a> <ul id="toc-Seri_devre_2-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Paralel_devre_2" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Paralel_devre_2"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.2</span> <span>Paralel devre</span> </div> </a> <ul id="toc-Paralel_devre_2-sublist" class="vector-toc-list"> </ul> </li> </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="İçindekiler" 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="İçindekiler tablosunu değiştir" > <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">İçindekiler tablosunu değiştir</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">Seri ve paralel devreler</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="Başka bir dildeki sayfaya gidin. 30 dilde mevcut" > <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-30" 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">30 dil</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%AF%D8%A7%D8%B1%D8%A9_%D8%A7%D9%84%D8%AA%D9%88%D8%A7%D9%84%D9%8A_%D8%A3%D9%88_%D8%A7%D9%84%D8%AA%D9%88%D8%A7%D8%B2%D9%8A" title="دارة التوالي أو التوازي - Arapça" lang="ar" hreflang="ar" data-title="دارة التوالي أو التوازي" data-language-autonym="العربية" data-language-local-name="Arapça" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9F%D0%BE%D1%81%D0%BB%D0%B5%D0%B4%D0%BE%D0%B2%D0%B0%D1%82%D0%B5%D0%BB%D0%BD%D0%B8_%D0%B8_%D1%83%D1%81%D0%BF%D0%BE%D1%80%D0%B5%D0%B4%D0%BD%D0%B8_%D0%B5%D0%BB%D0%B5%D0%BA%D1%82%D1%80%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%B8_%D0%B2%D0%B5%D1%80%D0%B8%D0%B3%D0%B8" title="Последователни и успоредни електрически вериги - Bulgarca" lang="bg" hreflang="bg" data-title="Последователни и успоредни електрически вериги" data-language-autonym="Български" data-language-local-name="Bulgarca" 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%B8%E0%A6%AE%E0%A6%BE%E0%A6%A8%E0%A7%8D%E0%A6%A4%E0%A6%B0%E0%A6%BE%E0%A6%B2_%E0%A6%93_%E0%A6%B6%E0%A7%8D%E0%A6%B0%E0%A7%87%E0%A6%A3%E0%A6%BF_%E0%A6%AC%E0%A6%B0%E0%A7%8D%E0%A6%A4%E0%A6%A8%E0%A7%80" title="সমান্তরাল ও শ্রেণি বর্তনী - Bengalce" lang="bn" hreflang="bn" data-title="সমান্তরাল ও শ্রেণি বর্তনী" data-language-autonym="বাংলা" data-language-local-name="Bengalce" 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/Serijska_i_paralelna_mre%C5%BEa" title="Serijska i paralelna mreža - Boşnakça" lang="bs" hreflang="bs" data-title="Serijska i paralelna mreža" data-language-autonym="Bosanski" data-language-local-name="Boşnakça" 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/Circuits_en_s%C3%A8rie_i_circuits_en_paral%C2%B7lel" title="Circuits en sèrie i circuits en paral·lel - Katalanca" lang="ca" hreflang="ca" data-title="Circuits en sèrie i circuits en paral·lel" data-language-autonym="Català" data-language-local-name="Katalanca" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%A3%D0%BC%D0%BB%C4%83%D0%BD-%D1%85%D1%8B%C3%A7%D0%BB%C4%83%D0%BD_%D1%82%D0%B0%D1%82%D0%B0_%D0%BF%D0%B0%D1%80%D0%B0%D0%BB%D0%BB%D0%B5%D0%BB%D0%BB%C4%95_%C3%A7%D1%8B%D1%85%C4%83%D0%BD%D1%82%D0%B0%D1%80%D0%B0%D1%81%D1%81%D0%B8" title="Умлăн-хыçлăн тата параллеллĕ çыхăнтарасси - Çuvaşça" lang="cv" hreflang="cv" data-title="Умлăн-хыçлăн тата параллеллĕ çыхăнтарасси" data-language-autonym="Чӑвашла" data-language-local-name="Çuvaşça" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Series_and_parallel_circuits" title="Series and parallel circuits - İngilizce" lang="en" hreflang="en" data-title="Series and parallel circuits" data-language-autonym="English" data-language-local-name="İngilizce" 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/Seria_kaj_paralela_cirkvitoj" title="Seria kaj paralela cirkvitoj - Esperanto" lang="eo" hreflang="eo" data-title="Seria kaj paralela cirkvitoj" 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/Circuitos_en_serie_y_en_paralelo" title="Circuitos en serie y en paralelo - İspanyolca" lang="es" hreflang="es" data-title="Circuitos en serie y en paralelo" data-language-autonym="Español" data-language-local-name="İspanyolca" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%85%D8%AF%D8%A7%D8%B1%D9%87%D8%A7%DB%8C_%D8%B3%D8%B1%DB%8C_%D9%88_%D9%85%D9%88%D8%A7%D8%B2%DB%8C" title="مدارهای سری و موازی - Farsça" lang="fa" hreflang="fa" data-title="مدارهای سری و موازی" data-language-autonym="فارسی" data-language-local-name="Farsça" 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/Sarjaan-_ja_rinnankytkent%C3%A4" title="Sarjaan- ja rinnankytkentä - Fince" lang="fi" hreflang="fi" data-title="Sarjaan- ja rinnankytkentä" data-language-autonym="Suomi" data-language-local-name="Fince" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%97%D7%99%D7%91%D7%95%D7%A8_%D7%91%D7%98%D7%95%D7%A8_%D7%95%D7%91%D7%9E%D7%A7%D7%91%D7%99%D7%9C" title="חיבור בטור ובמקביל - İbranice" lang="he" hreflang="he" data-title="חיבור בטור ובמקביל" data-language-autonym="עברית" data-language-local-name="İbranice" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B6%E0%A5%8D%E0%A4%B0%E0%A5%87%E0%A4%A3%E0%A5%80_%E0%A4%94%E0%A4%B0_%E0%A4%B8%E0%A4%AE%E0%A4%BE%E0%A4%A8%E0%A4%BE%E0%A4%82%E0%A4%A4%E0%A4%B0_%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%AA%E0%A4%A5" title="श्रेणी और समानांतर परिपथ - Hintçe" lang="hi" hreflang="hi" data-title="श्रेणी और समानांतर परिपथ" data-language-autonym="हिन्दी" data-language-local-name="Hintçe" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%80%D5%A1%D5%BB%D5%B8%D6%80%D5%A4%D5%A1%D5%AF%D5%A1%D5%B6_%D6%87_%D5%A6%D5%B8%D6%82%D5%A3%D5%A1%D5%B0%D5%A5%D5%BC_%D5%B4%D5%AB%D5%A1%D6%81%D5%B8%D6%82%D5%B4%D5%B6%D5%A5%D6%80" title="Հաջորդական և զուգահեռ միացումներ - Ermenice" lang="hy" hreflang="hy" data-title="Հաջորդական և զուգահեռ միացումներ" data-language-autonym="Հայերեն" data-language-local-name="Ermenice" 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/Rangkaian_seri_dan_paralel" title="Rangkaian seri dan paralel - Endonezce" lang="id" hreflang="id" data-title="Rangkaian seri dan paralel" data-language-autonym="Bahasa Indonesia" data-language-local-name="Endonezce" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Circuiti_in_serie_e_in_parallelo" title="Circuiti in serie e in parallelo - İtalyanca" lang="it" hreflang="it" data-title="Circuiti in serie e in parallelo" data-language-autonym="İtaliano" data-language-local-name="İtalyanca" class="interlanguage-link-target"><span>İtaliano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E7%9B%B4%E5%88%97%E5%9B%9E%E8%B7%AF%E3%81%A8%E4%B8%A6%E5%88%97%E5%9B%9E%E8%B7%AF" title="直列回路と並列回路 - Japonca" lang="ja" hreflang="ja" data-title="直列回路と並列回路" data-language-autonym="日本語" data-language-local-name="Japonca" 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%98%E1%83%9B%E1%83%93%E1%83%94%E1%83%95%E1%83%A0%E1%83%9D%E1%83%91%E1%83%98%E1%83%97%E1%83%98_%E1%83%93%E1%83%90_%E1%83%9E%E1%83%90%E1%83%A0%E1%83%90%E1%83%9A%E1%83%94%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98_%E1%83%AC%E1%83%A0%E1%83%94%E1%83%93%E1%83%94%E1%83%91%E1%83%98" title="მიმდევრობითი და პარალელური წრედები - Gürcüce" lang="ka" hreflang="ka" data-title="მიმდევრობითი და პარალელური წრედები" data-language-autonym="ქართული" data-language-local-name="Gürcüce" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D3%A8%D1%82%D0%BA%D1%96%D0%B7%D0%B3%D1%96%D1%88%D1%82%D0%B5%D1%80%D0%B4%D1%96_%D1%82%D1%96%D0%B7%D0%B1%D0%B5%D0%BA%D1%82%D0%B5%D0%B9_%D0%B6%D3%99%D0%BD%D0%B5_%D0%BF%D0%B0%D1%80%D0%B0%D0%BB%D0%BB%D0%B5%D0%BB%D1%8C_%D0%B6%D0%B0%D0%BB%D2%93%D0%B0%D1%83" title="Өткізгіштерді тізбектей және параллель жалғау - Kazakça" lang="kk" hreflang="kk" data-title="Өткізгіштерді тізбектей және параллель жалғау" data-language-autonym="Қазақша" data-language-local-name="Kazakça" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Circuit_in_serie_e_in_parallel" title="Circuit in serie e in parallel - Lombardça" lang="lmo" hreflang="lmo" data-title="Circuit in serie e in parallel" data-language-autonym="Lombard" data-language-local-name="Lombardça" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Virknes_un_paral%C4%93lais_sl%C4%93gums" title="Virknes un paralēlais slēgums - Letonca" lang="lv" hreflang="lv" data-title="Virknes un paralēlais slēgums" data-language-autonym="Latviešu" data-language-local-name="Letonca" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9F%D0%BE%D1%81%D0%BB%D0%B5%D0%B4%D0%BE%D0%B2%D0%B0%D1%82%D0%B5%D0%BB%D1%8C%D0%BD%D0%BE%D0%B5_%D0%B8_%D0%BF%D0%B0%D1%80%D0%B0%D0%BB%D0%BB%D0%B5%D0%BB%D1%8C%D0%BD%D0%BE%D0%B5_%D1%81%D0%BE%D0%B5%D0%B4%D0%B8%D0%BD%D0%B5%D0%BD%D0%B8%D0%B5" title="Последовательное и параллельное соединение - Rusça" lang="ru" hreflang="ru" data-title="Последовательное и параллельное соединение" data-language-autonym="Русский" data-language-local-name="Rusça" 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/Redna_i_uporedna_kola" title="Redna i uporedna kola - Sırp-Hırvat Dili" lang="sh" hreflang="sh" data-title="Redna i uporedna kola" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Sırp-Hırvat Dili" 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/Series_and_parallel_circuits" title="Series and parallel circuits - Simple English" lang="en-simple" hreflang="en-simple" data-title="Series and parallel circuits" 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-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/Serijska_i_paralelna_kola" title="Serijska i paralelna kola - Sırpça" lang="sr" hreflang="sr" data-title="Serijska i paralelna kola" data-language-autonym="Српски / srpski" data-language-local-name="Sırpça" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-stq mw-list-item"><a href="https://stq.wikipedia.org/wiki/Riegenskaltenge_un_Parallelskaltenge" title="Riegenskaltenge un Parallelskaltenge - Saterland Frizcesi" lang="stq" hreflang="stq" 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</div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Vikipedi, özgür ansiklopedi</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="tr" dir="ltr"><p><b>Seri ve paralel devreler</b> <a href="/wiki/Elektrik_m%C3%BChendisli%C4%9Fi" title="Elektrik mühendisliği">elektrik mühendisliğinde</a> <a href="/wiki/Devre_elemanlar%C4%B1" class="mw-redirect" title="Devre elemanları">devre elemanlarının</a> bağlanış şekillerini ifade eder. Seri devrelerde devre elemanları aynı hat üzerinde her elemanın çıkışı bir sonrakinin girişine bağlanacak şekildedir. Bütün elemanlar üzerinde aynı <a href="/wiki/Elektrik_ak%C4%B1m%C4%B1" title="Elektrik akımı">akım</a> akar. Fakat devre elemanları üzerindeki gerilim farklı olabilir. Paralel devrelerde ise bütün elemanların girişleri de çıkışları da ortaktır. Bütün elemanların üzerindeki <a href="/wiki/Gerilim_(elektrik)" title="Gerilim (elektrik)">gerilim</a> eşittir. Buna karşılık devre elemanları üzerinde akan akım farklı olabilir. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Seri_devre">Seri devre</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Seri_ve_paralel_devreler&veaction=edit&section=1" title="Değiştirilen bölüm: Seri devre" class="mw-editsection-visualeditor"><span>değiştir</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Seri_ve_paralel_devreler&action=edit&section=1" title="Bölümün kaynak kodunu değiştir: Seri devre"><span>kaynağı değiştir</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Dosya:Impedances_en_serie.PNG" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/91/Impedances_en_serie.PNG/220px-Impedances_en_serie.PNG" decoding="async" width="220" height="184" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/9/91/Impedances_en_serie.PNG 1.5x" data-file-width="226" data-file-height="189" /></a><figcaption>Seri bağlı iki devre elemanı</figcaption></figure> <p>Seri devrede akan akım; </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 I=I_{1}=I_{2}=\cdots =I_{n}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> <mo>=</mo> <msub> <mi>I</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>I</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mo>⋯</mo> <mo>=</mo> <msub> <mi>I</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I=I_{1}=I_{2}=\cdots =I_{n}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fc07b5aa227736f0035e8e33848e09b38c386b7e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:22.685ex; height:2.509ex;" alt="{\displaystyle I=I_{1}=I_{2}=\cdots =I_{n}}"></span></dd></dl> <p>Burada <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 I}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/535ea7fc4134a31cbe2251d9d3511374bc41be9f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.172ex; height:2.176ex;" alt="{\displaystyle I}"></span> devreden geçen toplam akımdır. <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 I_{n}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>I</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I_{n}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/aba34f081d776e30204f3458e4f50b403b09e5c6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.242ex; height:2.509ex;" alt="{\displaystyle I_{n}}"></span> ise herhangi bir elemanın üzerinden geçen akımdır. Hat ortak olduğu için aynı akım bütün devre elemanlarının üzerinden geçer. </p><p>Buna karşılık elemanlar üzerindeki gerilim bu akım ile o elemanın empedansının çarpımı suretiyle bulunur. </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 V=V_{1}+V_{2}+\dots +V_{n}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> <mo>=</mo> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>+</mo> <mo>⋯</mo> <mo>+</mo> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V=V_{1}+V_{2}+\dots +V_{n}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3d69e95b5bf5bb8803bd0b9467ab038abcd49bda" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:23.523ex; height:2.509ex;" alt="{\displaystyle V=V_{1}+V_{2}+\dots +V_{n}}"></span></dd></dl> <p>Her eleman üzerindeki gerilimin toplamı devrenin iki ucu arasındaki gerilimi verir. </p> <div class="mw-heading mw-heading2"><h2 id="Paralel_devre">Paralel devre</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Seri_ve_paralel_devreler&veaction=edit&section=2" title="Değiştirilen bölüm: Paralel devre" class="mw-editsection-visualeditor"><span>değiştir</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Seri_ve_paralel_devreler&action=edit&section=2" title="Bölümün kaynak kodunu değiştir: Paralel devre"><span>kaynağı değiştir</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Dosya:Impedances_in_parallel.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Impedances_in_parallel.svg/220px-Impedances_in_parallel.svg.png" decoding="async" width="220" height="105" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Impedances_in_parallel.svg/330px-Impedances_in_parallel.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Impedances_in_parallel.svg/440px-Impedances_in_parallel.svg.png 2x" data-file-width="230" data-file-height="110" /></a><figcaption>Paralel devre elemanları</figcaption></figure> <p>Paralel devre elemanlar üzerindeki gerilim eşittir. </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 V=V_{1}=V_{2}=\cdots =V_{n}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> <mo>=</mo> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mo>⋯</mo> <mo>=</mo> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V=V_{1}=V_{2}=\cdots =V_{n}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/35f5b06751a1018b7784994511b5b0f769e75f79" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:24.297ex; height:2.509ex;" alt="{\displaystyle V=V_{1}=V_{2}=\cdots =V_{n}}"></span></dd></dl> <p>Burada <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 V}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/af0f6064540e84211d0ffe4dac72098adfa52845" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.787ex; height:2.176ex;" alt="{\displaystyle V}"></span>devrenin iki ucu arasındaki gerilim farkıdır. <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 V_{n}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V_{n}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3ebc5a637019ce3415183f06995aeeca93547767" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.574ex; height:2.509ex;" alt="{\displaystyle V_{n}}"></span> ise herhangi bir elemanın üzerindeki gerilimdir. Uçlar ortak olduğu için her eleman üzerindeki gerilim eşittir. Buna karşılık elemanlar üzerinde akan akım bu gerilimin o elemanın empedansına bölünmesi suretiyle bulunur. Buna göre </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 I=I_{1}+I_{2}+\dots +I_{n}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> <mo>=</mo> <msub> <mi>I</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>I</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>+</mo> <mo>⋯</mo> <mo>+</mo> <msub> <mi>I</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I=I_{1}+I_{2}+\dots +I_{n}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/538aaf7b41590d84d48c07be4511d314d89f6971" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:21.911ex; height:2.509ex;" alt="{\displaystyle I=I_{1}+I_{2}+\dots +I_{n}}"></span></dd></dl> <p>Her eleman üzerinden geçen akımın toplamı devreye giren akıma eşittir. </p> <div class="mw-heading mw-heading2"><h2 id="Devre_elemanları"><span id="Devre_elemanlar.C4.B1"></span>Devre elemanları</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Seri_ve_paralel_devreler&veaction=edit&section=3" title="Değiştirilen bölüm: Devre elemanları" class="mw-editsection-visualeditor"><span>değiştir</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Seri_ve_paralel_devreler&action=edit&section=3" title="Bölümün kaynak kodunu değiştir: Devre elemanları"><span>kaynağı değiştir</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Devre elemanları <a href="/wiki/Empedans" class="mw-redirect" title="Empedans">empedans</a> (<a href="/wiki/Diren%C3%A7_(devre_eleman%C4%B1)" title="Direnç (devre elemanı)">direnç</a>, <a href="/wiki/Kondansat%C3%B6r" title="Kondansatör">kondansatör</a> veya <a href="/wiki/%C4%B0nd%C3%BCkt%C3%B6r" title="İndüktör">indüktör</a>) olabileceği gibi aktif elemanlar ya da anahtarlar da olabilir. </p> <dl><dd>Direnç için empedans <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 Z=R}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Z</mi> <mo>=</mo> <mi>R</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Z=R}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6d0a96397b4e2bb73057bb4228c85656ff0ca26f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.543ex; height:2.176ex;" alt="{\displaystyle Z=R}"></span></dd> <dd>Kondansatör için empedans <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 Z={\frac {1}{j\cdot \omega \cdot C}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Z</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mrow> <mi>j</mi> <mo>⋅</mo> <mi>ω</mi> <mo>⋅</mo> <mi>C</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Z={\frac {1}{j\cdot \omega \cdot C}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/75b0029500753f637a13f517b3d4efd4d1ae8c08" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:13.143ex; height:5.676ex;" alt="{\displaystyle Z={\frac {1}{j\cdot \omega \cdot C}}}"></span></dd> <dd>İndüktör için empedans <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 Z=j\cdot \omega \cdot L}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Z</mi> <mo>=</mo> <mi>j</mi> <mo>⋅</mo> <mi>ω</mi> <mo>⋅</mo> <mi>L</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Z=j\cdot \omega \cdot L}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a74880640cbf0ccffdba64ed1bd3272c24efcf5a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:12.124ex; height:2.509ex;" alt="{\displaystyle Z=j\cdot \omega \cdot L}"></span></dd></dl> <p>Burada <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 \omega }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ω</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \omega }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/48eff443f9de7a985bb94ca3bde20813ea737be8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.446ex; height:1.676ex;" alt="{\displaystyle \omega }"></span> açısal frekans (<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 \omega =2\cdot \pi \cdot f}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ω</mi> <mo>=</mo> <mn>2</mn> <mo>⋅</mo> <mi>π</mi> <mo>⋅</mo> <mi>f</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \omega =2\cdot \pi \cdot f}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bc919d3685de13b9fa304fa79a1ac990e77b6d5e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:11.676ex; height:2.509ex;" alt="{\displaystyle \omega =2\cdot \pi \cdot f}"></span>) ve <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 j}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>j</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle j}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2f461e54f5c093e92a55547b9764291390f0b5d0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.027ex; width:0.985ex; height:2.509ex;" alt="{\displaystyle j}"></span> sanal operatördür. </p><p>Devre daha karmaşık olduğu zaman eşdeğer devre elemanlarını kullanmak daha uygun olur. e indisi ile eşdeğer eleman kastedilirse; </p><p>Seri devrede ; </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 R_{e}=R_{1}+R_{2}+\dots +R_{n}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>+</mo> <mo>⋯</mo> <mo>+</mo> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R_{e}=R_{1}+R_{2}+\dots +R_{n}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4db3700401b4687809bb08064b288d3e0cea27a4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:25.724ex; height:2.509ex;" alt="{\displaystyle R_{e}=R_{1}+R_{2}+\dots +R_{n}}"></span></dd> <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 {\frac {1}{C_{e}}}={\frac {1}{C_{1}}}+{\frac {1}{C_{2}}}+\cdots +{\frac {1}{C_{n}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mfrac> </mrow> <mo>+</mo> <mo>⋯</mo> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{C_{e}}}={\frac {1}{C_{1}}}+{\frac {1}{C_{2}}}+\cdots +{\frac {1}{C_{n}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eaf1db9fb4ec6c9347bed89efd9d3d0b849380e5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:28.66ex; height:5.676ex;" alt="{\displaystyle {\frac {1}{C_{e}}}={\frac {1}{C_{1}}}+{\frac {1}{C_{2}}}+\cdots +{\frac {1}{C_{n}}}}"></span></dd> <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 L_{e}=L_{1}+L_{2}+\dots +L_{n}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>L</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>L</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>L</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>+</mo> <mo>⋯</mo> <mo>+</mo> <msub> <mi>L</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle L_{e}=L_{1}+L_{2}+\dots +L_{n}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/344b8ea69b6fe83e3d0a8e0624458da8075cc4ed" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:25ex; height:2.509ex;" alt="{\displaystyle L_{e}=L_{1}+L_{2}+\dots +L_{n}}"></span></dd></dl> <p>Paralel devrede ; </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 {\frac {1}{R_{e}}}={\frac {1}{R_{1}}}+{\frac {1}{R_{2}}}+\cdots +{\frac {1}{R_{n}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mfrac> </mrow> <mo>+</mo> <mo>⋯</mo> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{R_{e}}}={\frac {1}{R_{1}}}+{\frac {1}{R_{2}}}+\cdots +{\frac {1}{R_{n}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a53399ddb2a4bd61fdf604c6d9da150bb609f8c8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:29.069ex; height:5.676ex;" alt="{\displaystyle {\frac {1}{R_{e}}}={\frac {1}{R_{1}}}+{\frac {1}{R_{2}}}+\cdots +{\frac {1}{R_{n}}}}"></span></dd> <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 C_{e}=C_{1}+C_{2}+\dots +C_{n}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>+</mo> <mo>⋯</mo> <mo>+</mo> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle C_{e}=C_{1}+C_{2}+\dots +C_{n}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d91e73254386299a197cba8d6e5511ab85932230" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:25.315ex; height:2.509ex;" alt="{\displaystyle C_{e}=C_{1}+C_{2}+\dots +C_{n}}"></span></dd> <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 {\frac {1}{L_{e}}}={\frac {1}{L_{1}}}+{\frac {1}{L_{2}}}+\cdots +{\frac {1}{L_{n}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msub> <mi>L</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msub> <mi>L</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msub> <mi>L</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mfrac> </mrow> <mo>+</mo> <mo>⋯</mo> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msub> <mi>L</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{L_{e}}}={\frac {1}{L_{1}}}+{\frac {1}{L_{2}}}+\cdots +{\frac {1}{L_{n}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6c205fa3848bc27231e7313ad60084153b657ffa" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:28.344ex; height:5.676ex;" alt="{\displaystyle {\frac {1}{L_{e}}}={\frac {1}{L_{1}}}+{\frac {1}{L_{2}}}+\cdots +{\frac {1}{L_{n}}}}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Örnek"><span id=".C3.96rnek"></span>Örnek</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Seri_ve_paralel_devreler&veaction=edit&section=4" title="Değiştirilen bölüm: Örnek" class="mw-editsection-visualeditor"><span>değiştir</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Seri_ve_paralel_devreler&action=edit&section=4" title="Bölümün kaynak kodunu değiştir: Örnek"><span>kaynağı değiştir</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Seri_devre_2">Seri devre</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Seri_ve_paralel_devreler&veaction=edit&section=5" title="Değiştirilen bölüm: Seri devre" class="mw-editsection-visualeditor"><span>değiştir</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Seri_ve_paralel_devreler&action=edit&section=5" title="Bölümün kaynak kodunu değiştir: Seri devre"><span>kaynağı değiştir</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Dosya:RE_Serie.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/a/a2/RE_Serie.png" decoding="async" width="132" height="106" class="mw-file-element" data-file-width="132" data-file-height="106" /></a><figcaption></figcaption></figure> <p>İki ucu arasında 400 volt olan bir seri devrede 3 direnç vardır ve değerleri sırayla 50 ohm, 30 ohm ve 20 ohm dur. Elemanlardan geçen akım ve elemanlar üzerindeki gerilim şu şekilde bulunur; </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 R_{e}=50+30+20=100\quad \Omega }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> <mo>=</mo> <mn>50</mn> <mo>+</mo> <mn>30</mn> <mo>+</mo> <mn>20</mn> <mo>=</mo> <mn>100</mn> <mspace width="1em" /> <mi mathvariant="normal">Ω</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R_{e}=50+30+20=100\quad \Omega }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/de019bd79fe51d3c76a032879d90e68e16d024df" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:29.103ex; height:2.509ex;" alt="{\displaystyle R_{e}=50+30+20=100\quad \Omega }"></span></dd> <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 I={\frac {V}{R_{e}}}={\frac {400}{100}}=4\quad A}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>V</mi> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>400</mn> <mn>100</mn> </mfrac> </mrow> <mo>=</mo> <mn>4</mn> <mspace width="1em" /> <mi>A</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I={\frac {V}{R_{e}}}={\frac {400}{100}}=4\quad A}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c20eebeb051ef56d2afedf51d842eae3dead89b8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:23.617ex; height:5.676ex;" alt="{\displaystyle I={\frac {V}{R_{e}}}={\frac {400}{100}}=4\quad A}"></span></dd></dl> <p>Devre seri olduğundan üç dirençten de aynı akım geçer. Gerilimler ise şu şekilde bulunur; </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 V_{a}=R_{a}\cdot I=50\cdot 4=200\quad V}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> <mo>⋅</mo> <mi>I</mi> <mo>=</mo> <mn>50</mn> <mo>⋅</mo> <mn>4</mn> <mo>=</mo> <mn>200</mn> <mspace width="1em" /> <mi>V</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V_{a}=R_{a}\cdot I=50\cdot 4=200\quad V}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/82fa4723aa3ae895ed166c1ee687dc45ee27151b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:30.233ex; height:2.509ex;" alt="{\displaystyle V_{a}=R_{a}\cdot I=50\cdot 4=200\quad V}"></span></dd> <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 V_{b}=R_{b}\cdot I=30\cdot 4=120\quad V}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> <mo>⋅</mo> <mi>I</mi> <mo>=</mo> <mn>30</mn> <mo>⋅</mo> <mn>4</mn> <mo>=</mo> <mn>120</mn> <mspace width="1em" /> <mi>V</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V_{b}=R_{b}\cdot I=30\cdot 4=120\quad V}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f1e741cea48c321b7a10653e1ebc2a75dcf4af2b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:29.904ex; height:2.509ex;" alt="{\displaystyle V_{b}=R_{b}\cdot I=30\cdot 4=120\quad V}"></span></dd> <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 V_{c}=R_{c}\cdot I=20\cdot 4=80\quad V}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>c</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>c</mi> </mrow> </msub> <mo>⋅</mo> <mi>I</mi> <mo>=</mo> <mn>20</mn> <mo>⋅</mo> <mn>4</mn> <mo>=</mo> <mn>80</mn> <mspace width="1em" /> <mi>V</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V_{c}=R_{c}\cdot I=20\cdot 4=80\quad V}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bc7a2bc7f358cb04555dcb978da3080411107d2b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:28.755ex; height:2.509ex;" alt="{\displaystyle V_{c}=R_{c}\cdot I=20\cdot 4=80\quad V}"></span></dd></dl> <p>Toplam gerilim (<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 200+120+80=400}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>200</mn> <mo>+</mo> <mn>120</mn> <mo>+</mo> <mn>80</mn> <mo>=</mo> <mn>400</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 200+120+80=400}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/25f952d6b35ba833543b3d50c9ac3908c1a0b804" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:21.566ex; height:2.343ex;" alt="{\displaystyle 200+120+80=400}"></span>) devrenin iki ucu arasındaki gerilime eşittir. </p> <div class="mw-heading mw-heading3"><h3 id="Paralel_devre_2">Paralel devre</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Seri_ve_paralel_devreler&veaction=edit&section=6" title="Değiştirilen bölüm: Paralel devre" class="mw-editsection-visualeditor"><span>değiştir</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Seri_ve_paralel_devreler&action=edit&section=6" title="Bölümün kaynak kodunu değiştir: Paralel devre"><span>kaynağı değiştir</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Dosya:Parallel_circuit.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5a/Parallel_circuit.svg/140px-Parallel_circuit.svg.png" decoding="async" width="140" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5a/Parallel_circuit.svg/210px-Parallel_circuit.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/5a/Parallel_circuit.svg/280px-Parallel_circuit.svg.png 2x" data-file-width="189" data-file-height="108" /></a><figcaption></figcaption></figure> <p>İki ucu arasında 12 volt olan bir paralel devrede 3 direnç vardır ve değerleri sırayla 4 ohm, 6 ohm ve 12 ohm dur. Elemanlardan geçen akım ve elemanlar üzerindeki gerilim şu şekilde bulunur; </p><p>Her direnç üzerinde düşen gerilim kaynak gerilimine eşit, yani 12 volttur. Dirençlerden geçen akım ise </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 I_{a}={\frac {V}{R_{a}}}={\frac {12}{4}}=3\quad A}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>I</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>V</mi> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>12</mn> <mn>4</mn> </mfrac> </mrow> <mo>=</mo> <mn>3</mn> <mspace width="1em" /> <mi>A</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I_{a}={\frac {V}{R_{a}}}={\frac {12}{4}}=3\quad A}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9413af05f33cffb776d7dd8b749bdb1e516b9682" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:23.512ex; height:5.676ex;" alt="{\displaystyle I_{a}={\frac {V}{R_{a}}}={\frac {12}{4}}=3\quad A}"></span></dd> <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 I_{b}={\frac {V}{R_{b}}}={\frac {12}{6}}=2\quad A}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>I</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>V</mi> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>12</mn> <mn>6</mn> </mfrac> </mrow> <mo>=</mo> <mn>2</mn> <mspace width="1em" /> <mi>A</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I_{b}={\frac {V}{R_{b}}}={\frac {12}{6}}=2\quad A}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2355b6879d9a05301cde86edee55b0c35e085f4b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:23.183ex; height:5.676ex;" alt="{\displaystyle I_{b}={\frac {V}{R_{b}}}={\frac {12}{6}}=2\quad A}"></span></dd> <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 I_{c}={\frac {V}{R_{c}}}={\frac {12}{12}}=1\quad A}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>I</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>c</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>V</mi> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>c</mi> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>12</mn> <mn>12</mn> </mfrac> </mrow> <mo>=</mo> <mn>1</mn> <mspace width="1em" /> <mi>A</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I_{c}={\frac {V}{R_{c}}}={\frac {12}{12}}=1\quad A}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6ac6c4fd43595aab4ded5b0a7104483f9894be00" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:23.196ex; height:5.676ex;" alt="{\displaystyle I_{c}={\frac {V}{R_{c}}}={\frac {12}{12}}=1\quad A}"></span></dd></dl> <p>Devreden geçen toplam akım </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 I=I_{a}+I_{b}+I_{c}=3+2+1=6\quad A}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> <mo>=</mo> <msub> <mi>I</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>I</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>I</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>c</mi> </mrow> </msub> <mo>=</mo> <mn>3</mn> <mo>+</mo> <mn>2</mn> <mo>+</mo> <mn>1</mn> <mo>=</mo> <mn>6</mn> <mspace width="1em" /> <mi>A</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I=I_{a}+I_{b}+I_{c}=3+2+1=6\quad A}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/671d9eb2ac322803d581b2a8ab15ce94957b5a72" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:36.597ex; height:2.509ex;" alt="{\displaystyle I=I_{a}+I_{b}+I_{c}=3+2+1=6\quad A}"></span></dd></dl> <p>Toplam akım eşdeğer direnç yardımıyla da bulunabilir; </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 {\frac {1}{R_{e}}}={\frac {1}{R_{a}}}+{\frac {1}{R_{b}}}+{\frac {1}{R_{c}}}={\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{12}}={\frac {1}{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>c</mi> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>6</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>12</mn> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{R_{e}}}={\frac {1}{R_{a}}}+{\frac {1}{R_{b}}}+{\frac {1}{R_{c}}}={\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{12}}={\frac {1}{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/47310f206057225a6421215e98057d197d0c6e7f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:44.196ex; height:5.676ex;" alt="{\displaystyle {\frac {1}{R_{e}}}={\frac {1}{R_{a}}}+{\frac {1}{R_{b}}}+{\frac {1}{R_{c}}}={\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{12}}={\frac {1}{2}}}"></span></dd> <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 R_{e}=2\quad \Omega \quad }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> <mo>=</mo> <mn>2</mn> <mspace width="1em" /> <mi mathvariant="normal">Ω</mi> <mspace width="1em" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R_{e}=2\quad \Omega \quad }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/12e11af99833dd7ff9b9c8e5bbaaf81d18ae9151" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:13.347ex; height:2.509ex;" alt="{\displaystyle R_{e}=2\quad \Omega \quad }"></span> olduğundan</dd> <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 I_{T}={\frac {V}{R_{e}}}={\frac {12}{2}}=6\quad A}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>I</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>T</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>V</mi> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>12</mn> <mn>2</mn> </mfrac> </mrow> <mo>=</mo> <mn>6</mn> <mspace width="1em" /> <mi>A</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I_{T}={\frac {V}{R_{e}}}={\frac {12}{2}}=6\quad A}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7beb358b49dbe651f8bdcb64c6520bd77d8127c0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; 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