CINXE.COM

<!DOCTYPE html> <html class="client-nojs" lang="en" dir="ltr"> <head> <meta charset="UTF-8"/> <title>Ferrites - Engineering and Technology History Wiki</title> <script>document.documentElement.className="client-js";RLCONF={"wgBreakFrames":false,"wgSeparatorTransformTable":["",""],"wgDigitTransformTable":["",""],"wgDefaultDateFormat":"dmy","wgMonthNames":["","January","February","March","April","May","June","July","August","September","October","November","December"],"wgRequestId":"fc51202d82995a32b6276e00","wgCSPNonce":false,"wgCanonicalNamespace":"","wgCanonicalSpecialPageName":false,"wgNamespaceNumber":0,"wgPageName":"Ferrites","wgTitle":"Ferrites","wgCurRevisionId":154617,"wgRevisionId":154617,"wgArticleId":3698,"wgIsArticle":true,"wgIsRedirect":false,"wgAction":"view","wgUserName":null,"wgUserGroups":["*"],"wgCategories":["Fields, waves \u0026 electromagnetics","Electromagnetic fields","Electromagnetics","Magnetic devices","Materials","Conductivity \u0026 superconductivity","Metals","Iron","Nickel"],"wgPageContentLanguage":"en","wgPageContentModel":"wikitext","wgRelevantPageName":"Ferrites","wgRelevantArticleId":3698,"wgIsProbablyEditable":false, "wgRelevantPageIsProbablyEditable":false,"wgRestrictionEdit":[],"wgRestrictionMove":[],"wgPageFormsTargetName":null,"wgPageFormsAutocompleteValues":[],"wgPageFormsAutocompleteOnAllChars":false,"wgPageFormsFieldProperties":[],"wgPageFormsCargoFields":[],"wgPageFormsDependentFields":[],"wgPageFormsCalendarValues":[],"wgPageFormsCalendarParams":[],"wgPageFormsCalendarHTML":null,"wgPageFormsGridValues":[],"wgPageFormsGridParams":[],"wgPageFormsContLangYes":null,"wgPageFormsContLangNo":null,"wgPageFormsContLangMonths":[],"wgPageFormsHeightForMinimizingInstances":800,"wgPageFormsShowOnSelect":[],"wgPageFormsScriptPath":"/w/extensions/PageForms","edgValues":null,"wgPageFormsEDSettings":null,"wgAmericanDates":false,"wgVisualEditor":{"pageLanguageCode":"en","pageLanguageDir":"ltr","pageVariantFallbacks":"en"},"VEForAllToolbarNormal":[{"header":"visualeditor-toolbar-paragraph-format","title":"visualeditor-toolbar-format-tooltip","type":"menu","include":{"group":"format"},"promote":["paragraph"], "demote":["preformatted","blockquote"]},{"header":"visualeditor-toolbar-text-style","title":"visualeditor-toolbar-style-tooltip","include":["bold","italic","moreTextStyle"]},{"include":["link"]},{"header":"visualeditor-toolbar-structure","title":"visualeditor-toolbar-structure","type":"list","icon":"listBullet","include":{"group":"structure"},"demote":["outdent","indent"]},{"header":"visualeditor-toolbar-insert","title":"visualeditor-toolbar-insert","type":"list","icon":"add","label":"","include":["insertTable","specialCharacter","warningblock","preformatted","infoblock","ideablock","dontblock","pinblock"]}],"VEForAllToolbarWide":[{"header":"visualeditor-toolbar-paragraph-format","title":"visualeditor-toolbar-format-tooltip","type":"menu","include":{"group":"format"},"promote":["paragraph"],"demote":["preformatted","blockquote"]},{"header":"visualeditor-toolbar-text-style","title":"visualeditor-toolbar-style-tooltip","include":["bold","italic","moreTextStyle"]},{"include":["link"]},{ "header":"visualeditor-toolbar-structure","title":"visualeditor-toolbar-structure","type":"list","icon":"listBullet","include":{"group":"structure"},"demote":["outdent","indent"]},{"header":"visualeditor-toolbar-insert","title":"visualeditor-toolbar-insert","type":"list","icon":"add","label":"","include":["media","insertTable","specialCharacter","warningblock","preformatted","infoblock","ideablock","dontblock","pinblock","media"]},{"name":"reference"}],"sdgDownArrowImage":"/w/extensions/SemanticDrilldown/skins/down-arrow.png","sdgRightArrowImage":"/w/extensions/SemanticDrilldown/skins/right-arrow.png","srfFilteredConfig":null,"egMapsScriptPath":"/w/extensions/Maps/","egMapsDebugJS":false,"egMapsAvailableServices":["leaflet","googlemaps3"],"egMapsLeafletLayersApiKeys":{"MapBox":"","MapQuestOpen":"","Thunderforest":"","GeoportailFrance":""},"wgULSAcceptLanguageList":[],"wgULSCurrentAutonym":"English","wgSmjUseCdn":true,"wgSmjUseChem":true,"wgSmjDisplayMath":[],"wgSmjExtraInlineMath":[], "wgSmjScale":1,"wgSmjEnableMenu":true,"wgSmjDisplayAlign":"left","wgSurveyDebug":false,"wgEditSubmitButtonLabelPublish":false,"VEForAll":{"VisualEditorEnable":1},"wgULSPosition":"personal","wgULSisCompactLinksEnabled":true};RLSTATE={"site.styles":"ready","user.styles":"ready","user":"ready","user.options":"loading","mediawiki.ui.button":"ready","skins.chameleon":"ready","zzz.ext.bootstrap.styles":"ready","ext.visualEditor.desktopArticleTarget.noscript":"ready","ext.srf.styles":"ready","ext.smw.style":"ready","ext.smw.tooltip.styles":"ready","ext.uls.pt":"ready"};RLPAGEMODULES=["ext.SimpleMathJax","ext.survey.tag","smw.entityexaminer","ext.smw.style","ext.smw.tooltips","site","mediawiki.page.ready","ext.ethw","ext.visualEditor.desktopArticleTarget.init","ext.visualEditor.targetLoader","ext.veforall.core.desktop","ext.uls.compactlinks","ext.uls.interface","ext.gadget.HotCat","ext.gadget.Datatable","ext.bootstrap.scripts"];</script> <script>(RLQ=window.RLQ||[]).push(function(){mw.loader.implement("user.options@12s5i",function($,jQuery,require,module){mw.user.tokens.set({"patrolToken":"+\\","watchToken":"+\\","csrfToken":"+\\"});});});</script> <link rel="stylesheet" href="/w/load.php?lang=en&modules=ext.smw.style%7Cext.smw.tooltip.styles%7Cext.srf.styles%7Cext.uls.pt%7Cext.visualEditor.desktopArticleTarget.noscript%7Cmediawiki.ui.button%7Cskins.chameleon%7Czzz.ext.bootstrap.styles&only=styles&skin=chameleon"/> <script async="" src="/w/load.php?lang=en&modules=startup&only=scripts&raw=1&skin=chameleon"></script> <style>#mw-indicator-mw-helplink {display:none;}</style><style>#mw-indicator-mw-helplink {display:none;}</style> <meta name="ResourceLoaderDynamicStyles" content=""/> <link rel="stylesheet" href="/w/load.php?lang=en&modules=site.styles&only=styles&skin=chameleon"/> <meta name="generator" content="MediaWiki 1.39.8"/> <meta name="format-detection" content="telephone=no"/> <meta name="twitter:card" content="summary_large_image"/> <meta name="viewport" content="width=1000"/> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"/> <link rel="alternate" type="application/rdf+xml" title="Ferrites" href="/w/index.php?title=Special:ExportRDF/Ferrites&xmlmime=rdf"/> <link rel="icon" href="/favicon.ico"/> <link rel="search" type="application/opensearchdescription+xml" href="/w/opensearch_desc.php" title="ETHW (en)"/> <link rel="EditURI" type="application/rsd+xml" href="https://ethw.org/w/api.php?action=rsd"/> <meta property="og:title" content="Ferrites"/> <meta property="og:site_name" content="ETHW"/> <meta property="og:url" content="https://ethw.org/Ferrites"/> <meta property="og:image" content="https://ethw.org/w/logo.png"/> <meta property="article:modified_time" content="2017-04-12T13:51:02Z"/> <meta property="article:published_time" content="2017-04-12T13:51:02Z"/> <script type="application/ld+json">{"@context":"http:\/\/schema.org","@type":"article","name":"Ferrites - Engineering and Technology History Wiki","headline":"Ferrites - Engineering and Technology History Wiki","mainEntityOfPage":"<span class=\"mw-page-title-main\">Ferrites<\/span>","identifier":"https:\/\/ethw.org\/Ferrites","url":"https:\/\/ethw.org\/Ferrites","dateModified":"2017-04-12T13:51:02Z","datePublished":"2017-04-12T13:51:02Z","image":{"@type":"ImageObject","url":"https:\/\/ethw.org\/w\/logo.png"},"author":{"@type":"Organization","name":"ETHW","url":"https:\/\/ethw.org","logo":{"@type":"ImageObject","url":"https:\/\/ethw.org\/w\/logo.png","caption":"ETHW"}},"publisher":{"@type":"Organization","name":"ETHW","url":"https:\/\/ethw.org","logo":{"@type":"ImageObject","url":"https:\/\/ethw.org\/w\/logo.png","caption":"ETHW"}},"potentialAction":{"@type":"SearchAction","target":"https:\/\/ethw.org\/w\/index.php?title=Special:Search&search={search_term}","query-input":"required name=search_term"}}</script> </head> <body class="mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject page-Ferrites rootpage-Ferrites layout-navhead_ethw skin-chameleon action-view">  <nav class="p-navbar collapsible" role="navigation" id="mw-navigation">  <div id="p-logo" class="navbar-brand p-logo" role="banner"> <a href="/Main_Page" title="Visit the main page"><img src="/w/logo.png" alt="ETHW"/></a> </div> <button type="button" class="navbar-toggler" data-toggle="collapse" data-target="#hysmphlzs8"></button> <div class="collapse navbar-collapse hysmphlzs8" id="hysmphlzs8"> <div class="navbar-nav">  <div class="nav-item dropdown p-Explore-dropdown"> <a href="#" class="nav-link dropdown-toggle p-Explore-toggle" data-toggle="dropdown" data-boundary="viewport">Explore</a> <div class="dropdown-menu p-Explore" id="p-Explore"> <div id="n-Browse-by-Subject" class="mw-list-item"><a href="/ETHW:Subject_browse" class="nav-link n-Browse-by-Subject">Browse by Subject</a></div> <div id="n-Encyclopedia" class="mw-list-item"><a href="/Encyclopedia" class="nav-link n-Encyclopedia">Encyclopedia</a></div> <div id="n-Oral-Histories" class="mw-list-item"><a href="/Oral-History:List_of_all_Oral_Histories" class="nav-link n-Oral-Histories">Oral Histories</a></div> <div id="n-First-Hand-Histories" class="mw-list-item"><a href="/First-Hand:List_of_First_Hand_Histories" class="nav-link n-First-Hand-Histories">First Hand Histories</a></div> <div id="n-Landmarks/Milestones" class="mw-list-item"><a href="/Landmarks" class="nav-link n-Landmarks/Milestones">Landmarks/Milestones</a></div> <div id="n-Archives" class="mw-list-item"><a href="/Archives:Archival_Collections" class="nav-link n-Archives">Archives</a></div> <div id="n-Personal-Narratives" class="mw-list-item"><a href="/Personal-Narrative:List_of_all_Personal_Narratives" class="nav-link n-Personal-Narratives">Personal Narratives</a></div> <div id="n-Museums" class="mw-list-item"><a href="/ETHW:Museums" class="nav-link n-Museums">Museums</a></div> <div id="n-Random-page" class="mw-list-item"><a href="/Special:Random" class="nav-link n-Random-page">Random page</a></div> <div id="n-Special-pages" class="mw-list-item"><a href="/Special:SpecialPages" class="nav-link n-Special-pages">Special pages</a></div> <div id="n-Recent-changes" class="mw-list-item"><a href="/Special:RecentChanges" class="nav-link n-Recent-changes">Recent changes</a></div> <div id="n-New-pages" class="mw-list-item"><a href="/Special:NewPages" class="nav-link n-New-pages">New pages</a></div> </div> </div>  <div class="nav-item dropdown p-Help-dropdown"> <a href="#" class="nav-link dropdown-toggle p-Help-toggle" data-toggle="dropdown" data-boundary="viewport">Help</a> <div class="dropdown-menu p-Help" id="p-Help"> <div id="n-Contents" class="mw-list-item"><a href="/Help:Contents" class="nav-link n-Contents">Contents</a></div> <div id="n-Contact-us" class="mw-list-item"><a href="/Special:Contact" class="nav-link n-Contact-us">Contact us</a></div> </div> </div>  <div class="nav-item p-tb-dropdown"> <a href="#" class="nav-link dropdown-toggle p-tb-toggle" data-toggle="dropdown" data-boundary="viewport">Tools</a> <div class="dropdown-menu"> <div id="t-whatlinkshere" class="nav-item mw-list-item"><a href="/Special:WhatLinksHere/Ferrites" title="A list of all wiki pages that link here [j]" accesskey="j" class="nav-link t-whatlinkshere">What links here</a></div> <div id="t-recentchangeslinked" class="nav-item mw-list-item"><a href="/Special:RecentChangesLinked/Ferrites" rel="nofollow" title="Recent changes in pages linked from this page [k]" accesskey="k" class="nav-link t-recentchangeslinked">Related changes</a></div> <div id="t-specialpages" class="nav-item mw-list-item"><a href="/Special:SpecialPages" title="A list of all special pages [q]" accesskey="q" class="nav-link t-specialpages">Special pages</a></div> <div id="t-print" class="nav-item mw-list-item"><a href="javascript:print();" rel="alternate" title="Printable version of this page [p]" accesskey="p" class="nav-link t-print">Printable version</a></div> <div id="t-permalink" class="nav-item mw-list-item"><a href="/w/index.php?title=Ferrites&oldid=154617" title="Permanent link to this revision of this page" class="nav-link t-permalink">Permanent link</a></div> <div id="t-info" class="nav-item mw-list-item"><a href="/w/index.php?title=Ferrites&action=info" title="More information about this page" class="nav-link t-info">Page information</a></div> <div id="t-smwbrowselink" class="nav-item mw-list-item"><a href="/Special:Browse/:Ferrites" rel="search" class="nav-link t-smwbrowselink">Browse properties</a></div> </div> </div> </div> <div class="navbar-nav right">  <div class="navbar-tools navbar-nav flex-row"> <div class="navbar-tool dropdown"> <a data-toggle="dropdown" data-boundary="viewport" class="navbar-more-tools" href="#" title="Page tools"></a>  <div class="flex-row navbar-pagetools dropdown-menu p-contentnavigation" id="p-contentnavigation">  <div id="ca-talk" class="new mw-list-item"><a href="/w/index.php?title=Talk:Ferrites&action=edit&redlink=1" rel="discussion" title="Discussion about the content page (page does not exist) [t]" accesskey="t" class="new ca-talk">Talk</a></div>  <div id="ca-viewsource" class="mw-list-item"><a href="/w/index.php?title=Ferrites&action=edit" title="This page is protected.
You can view its source [e]" accesskey="e" class="ca-viewsource">View source</a></div> <div id="ca-history" class="mw-list-item"><a href="/w/index.php?title=Ferrites&action=history" title="Past revisions of this page [h]" accesskey="h" class="ca-history">View history</a></div> </div> </div> </div>  <div id="p-search" class="p-search order-first order-cmln-0 navbar-form" role="search" > <form id="searchform" class="mw-search" action="/w/index.php" > <input type="hidden" name="title" value=" Special:Search" /> <div class="input-group"> <input type="search" name="search" placeholder="Search ETHW" aria-label="Search ETHW" autocapitalize="sentences" title="Search ETHW [f]" accesskey="f" id="searchInput" class="form-control"/> <div class="input-group-append"> <button value="Go" id="searchGoButton" name="go" type="submit" class="search-btn searchGoButton" aria-label="Go to page" title="Go to a page with this exact name if it exists"></button> </div> </div> </form> </div>  <div class="navbar-tools navbar-nav" > <div class="navbar-tool dropdown"> <a class="navbar-usernotloggedin" href="#" data-toggle="dropdown" data-boundary="viewport" title="You are not logged in."> </a> <div class="p-personal-tools dropdown-menu"> <div id="pt-uls" class="mw-list-item active"><a class="uls-trigger pt-uls" href="#">English</a></div> <div id="pt-login" class="mw-list-item"><a href="/w/index.php?title=Special:UserLogin&returnto=Ferrites" title="You are encouraged to log in; however, it is not mandatory [o]" accesskey="o" class="pt-login">Log in</a></div> <div id="pt-createaccount" class="mw-list-item"><a href="/Special:RequestAccount" title="You are encouraged to create an account and log in; however, it is not mandatory" class="pt-createaccount">Request account</a></div> </div> </div> </div> </div> </div> </nav> <div class="flex-fill container"> <div class="row"> <div class="col"> </div> </div> <div class="row"> <div class="col">  <div id="content" class="mw-body content"><a id="top" class="top"></a> <div id="mw-indicators" class="mw-indicators"> <div id="mw-indicator-smw-entity-examiner" class="mw-indicator mw-indicator-smw-entity-examiner"><div class="smw-entity-examiner smw-indicator-vertical-bar-loader" data-subject="Ferrites#0##" data-dir="ltr" data-uselang="" title="Running an examiner in the background"></div></div> </div> <div class="contentHeader">  <h1 id="firstHeading" class="firstHeading"><span class="mw-page-title-main">Ferrites</span></h1>  <div id="siteSub" class="siteSub">From ETHW</div><div id="jump-to-nav" class="mw-jump jump-to-nav">Jump to:<a href="#mw-navigation">navigation</a>, <a href="#p-search">search</a></div> </div> <div id="bodyContent" class="bodyContent">  <div id="mw-content-text" class="mw-body-content mw-content-ltr" lang="en" dir="ltr"><p><span survey-data-id="2" survey-data-expiry="2592000" survey-data-min-pages="2" survey-data-ratio="75" class="surveytag" survey-data-token="+\"></span> </p><div class="mw-parser-output"><p>The term “ferrites”—from the Latin word for iron—means different things to different scientists. To metallurgists, ferrite means pure iron. To geologists, ferrites are a group of minerals based on iron oxide. To an electrical engineer, ferrites are also a group of materials based on iron oxide, but ones that have particular useful properties: magnetic properties and dielectric properties.  </p><p>Having magnetic properties means that a piece of ferrite will attract iron-based materials and will attract magnets of opposite polarity and repel magnets of like polarity. Magnetite, or lodestone, is a naturally occurring iron oxide that is considered a ferrite by both geologists and engineers. Over 2,000 years ago the ancient Greeks recognized the strange properties of lodestone, and almost 1,000 years ago the Chinese used it to invent the magnetic compass. </p><p>Having dielectric properties means that even though electromagnetic waves can pass through ferrites, they do not readily conduct electricity. This gives them an advantage over iron, nickel, and other transition metals that have magnetic properties (“ferromagnetic”) in many applications because these metals also conduct electricity. Materials can become magnetic because each of the molecules that make up the material function have a “magnetic moment” —that is they function like a very tiny magnet. When they all line up the overall material can produce a magnetic field. In the “ferrimagnetic” ferrites—as opposed to the “ferromagnetic” metals—there is not one alignment but a distinctive arrangement of parallel and perpendicular magnetic moments. This arrangement gives them their interesting properties. This effect can be achieved through several different crystal structures. Different ferrites lend themselves to different applications, as we will see. Because their magnetism depends on an orderly crystal structure, both ferromagnetic and ferrimagnetic materials can lose their magnetism if they’re heated too high or subjected to mechanical stresses </p><p>Although theoretically an engineer’s ferrite could be a single crystal or a collection of crystals grown together—like the geologist’s ferrite—in practice ferrites are made from pressing together iron oxide powders under high heat. Because of this, ferrites can be put into a ceramic or rubber matrix and molded into an endless variety of sizes and shapes. Because there are different types of ferrites, different mixtures of iron oxides—with other materials added as well—can be produced with the exact desired combination electrical and magnetic properties. </p><p>Ferrites, therefore, have many very important uses. Whenever a fixed magnet, as opposed to an electromagnet, is needed, ferrites are there. Certain types of <a href="/Generators" title="Generators">electric generators</a> and electric motors use fixed magnets, and ferrites are ideal for these applications. They are used as cores for inductors and <a href="/Transformers" title="Transformers">transformers</a>. <a href="/Cassette_Tapes" title="Cassette Tapes">Cassette</a> and video tapes use ferrites coated onto the plastic base to record the signal. And many computers up to the 1970s used magnetic core memories where the cores were made of ferrite (in fact, because of their reliability, ferrite core memories were used in the Space Shuttle until 1990. </p><p>Perhaps the most important use of ferrites in recent times is as a medium for transmitting microwaves. This is because some ferrites at very high frequencies (beginning above about 500 MHz, and very strongly in the microwave range of 1 to 30 GHz) exhibit a nonreciprocal effect. That means that electromagnetic waves passing through them behave differently traveling in different directions. This phenomenon allows the construction of one way transmission lines, junctions that can control the “traffic” of microwaves, and other microwave control devices. Our modern telecommunications system would not be possible without ferrites. </p>    </div></div><div class="printfooter"> Retrieved from "<a dir="ltr" href="https://ethw.org/w/index.php?title=Ferrites&oldid=154617">https://ethw.org/w/index.php?title=Ferrites&oldid=154617</a>"</div>   <div id='mw-data-after-content'> <p><div id="banner-slideshow"><a href="https://www.aiaa.org/SciTech" target="_blank" rel="nofollow" class="banner-slideshow--ad banner-slideshow--ad-1" style="display: none;"></a><a href="https://www.smeannualconference.com/" target="_blank" rel="nofollow" class="banner-slideshow--ad banner-slideshow--ad-2" style="display: none;"></a><a href="https://bit.ly/3GTH9SQ" target="_blank" rel="nofollow" class="banner-slideshow--ad banner-slideshow--ad-3" style="display: none;"></a><a href="https://bit.ly/45a0SIe" target="_blank" rel="nofollow" class="banner-slideshow--ad banner-slideshow--ad-4" style="display: none;"></a><a href="https://bit.ly/3Whz2Wf" target="_blank" rel="nofollow" class="banner-slideshow--ad banner-slideshow--ad-5" style="display: none;"></a> <a href="https://bit.ly/3DCinEw" target="_blank" rel="nofollow" class="banner-slideshow--ad banner-slideshow--ad-6" style="display: none;"></a> <a href="https://2024.otcnet.org/register" target="_blank" rel="nofollow" class="banner-slideshow--ad banner-slideshow--ad-7" style="display: none;"></a> </div><script> var slideshow = document.querySelector('#banner-slideshow'); var ads = slideshow.querySelectorAll('.banner-slideshow--ad'); var selectedAd = ads[Math.floor(Math.random()*ads.length)]; selectedAd.classList.add('banner-slideshow--ad--visible'); </script><style> #banner-slideshow { margin: 25px auto; } #banner-slideshow .banner-slideshow--ad-1 { background: url(https://ethw.org/w/images/9/9e/Aiaa_banner.jpg) 0 0 no-repeat; width: 856px; height: 104px; } #banner-slideshow .banner-slideshow--ad-2 { background: url(https://ethw.org/w/images/6/63/MX23_Reach_Local_728x90.png) 0 0 no-repeat; width: 728px; height: 90px; } #banner-slideshow .banner-slideshow--ad-3 { background: url(https://ethw.org/w/images/b/be/ASME_ETHWbanner_728x90_1c.png) 0 0 no-repeat; width: 728px; height: 90px; } #banner-slideshow .banner-slideshow--ad-4 { background: url(https://ethw.org/w/images/0/0b/ASME_ETHW_ad_720x90_May_1_V1.jpg) 0 0 no-repeat; width: 720px; height: 90px; } #banner-slideshow .banner-slideshow--ad-5 { background: url(https://ethw.org/w/images/d/d1/ASME_ETHW_ad_720x90_May_2_V1.jpg) 0 0 no-repeat; width: 720px; height: 90px; } #banner-slideshow .banner-slideshow--ad-6 { background: url(https://ethw.org/w/images/9/90/ASME_ETHW_Climate_Ad_01.png) 0 0 no-repeat; width: 720px; height: 90px; } #banner-slideshow .banner-slideshow--ad-7 { background: url(https://ethw.org/w/images/1/18/8._2947_-_JPT_Digital_Adverts_-_970x90_-_150dpi.jpg) 0 0 no-repeat; width: 968px; height: 90px; } #banner-slideshow .banner-slideshow--ad { display: block; margin: 0 auto; } #banner-slideshow .banner-slideshow--ad--visible { display: block !important; } </style> </p> </div> </div>  <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/Special:Categories" title="Special:Categories">Categories</a>: <ul><li><a href="/Category:Fields,_waves_%26_electromagnetics" title="Category:Fields, waves & electromagnetics">Fields, waves & electromagnetics</a></li><li><a href="/Category:Electromagnetic_fields" title="Category:Electromagnetic fields">Electromagnetic fields</a></li><li><a href="/Category:Electromagnetics" title="Category:Electromagnetics">Electromagnetics</a></li><li><a href="/Category:Magnetic_devices" title="Category:Magnetic devices">Magnetic devices</a></li><li><a href="/Category:Materials" title="Category:Materials">Materials</a></li><li><a href="/Category:Conductivity_%26_superconductivity" title="Category:Conductivity & superconductivity">Conductivity & superconductivity</a></li><li><a href="/Category:Metals" title="Category:Metals">Metals</a></li><li><a href="/Category:Iron" title="Category:Iron">Iron</a></li><li><a href="/Category:Nickel" title="Category:Nickel">Nickel</a></li></ul></div></div> </div> </div> </div> </div> <div class="mb-2 mt-4 container-fluid"> <div class="row"> <div class="col">  <nav class="p-navbar not-collapsible small mb-2" role="navigation" id="mw-navigation-hysmphm05m"> <div class="navbar-nav"> </div> </nav> </div> </div> <div class="row"> <div class="col">  <div id="footer-info" class="footer-info">  <div> This page was last edited on 12 April 2017, at 13:51.</div> </div>  <div id="footer-places" class="footer-places"> <div><a href="/ETHW:About">About ETHW</a></div> <div><a href="/ETHW:Policies">Policies and disclaimers</a></div> </div> </div> <div class="col">  <div id="footer-icons" class="justify-content-end footer-icons">  <div><a href="https://www.mediawiki.org/" target="_blank"><img src="/w/resources/assets/poweredby_mediawiki_88x31.png" alt="Powered by MediaWiki" srcset="/w/resources/assets/poweredby_mediawiki_132x47.png 1.5x, /w/resources/assets/poweredby_mediawiki_176x62.png 2x" width="88" height="31" loading="lazy"/></a></div> <div><a href="https://www.semantic-mediawiki.org/wiki/Semantic_MediaWiki" target="_blank"><img src="data:image/png;base64,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" alt="Powered by Semantic MediaWiki" class="smw-footer" width="88" height="31" loading="lazy"/></a></div> </div> </div> </div> </div><script src="https://www.googletagmanager.com/gtag/js?id=G-9873239KM5" async=""></script><script> window.dataLayer = window.dataLayer || []; function gtag(){dataLayer.push(arguments);} gtag('js', new Date()); gtag('config', 'G-9873239KM5', {}); </script> <script>(RLQ=window.RLQ||[]).push(function(){mw.config.set({"wgPageParseReport":{"limitreport":{"cputime":"0.001","walltime":"0.002","ppvisitednodes":{"value":3,"limit":1000000},"postexpandincludesize":{"value":0,"limit":2097152},"templateargumentsize":{"value":0,"limit":2097152},"expansiondepth":{"value":2,"limit":100},"expensivefunctioncount":{"value":0,"limit":100},"unstrip-depth":{"value":0,"limit":20},"unstrip-size":{"value":151,"limit":5000000},"timingprofile":["100.00% 0.000 1 -total"]},"cachereport":{"timestamp":"20250221151729","ttl":86400,"transientcontent":false}}});mw.config.set({"wgBackendResponseTime":146});});</script> </body> </html>