{"id":5751,"date":"2014-02-04T10:53:00","date_gmt":"2014-02-03T23:53:00","guid":{"rendered":"https:\/\/www.homebrewradio.us\/blog\/2014\/02\/04\/inductive-reactance-and-special-relativity\/"},"modified":"2025-07-21T19:34:00","modified_gmt":"2025-07-21T09:34:00","slug":"inductive-reactance-and-special-relativity","status":"publish","type":"post","link":"https:\/\/www.homebrewradio.us\/blog\/2014\/02\/04\/inductive-reactance-and-special-relativity\/","title":{"rendered":"Inductive Reactance and Special Relativity"},"content":{"rendered":"<div class=\"separator\" style=\"clear: both; text-align: center;\"> <a href=\"https:\/\/www.homebrewradio.us\/blog\/wp-content\/uploads\/2014\/02\/Einsteintransformer.jpg\" imageanchor=\"1\" style=\"margin-left: 1em; margin-right: 1em;\"><img loading=\"lazy\" decoding=\"async\" border=\"0\" src=\"https:\/\/www.homebrewradio.us\/blog\/wp-content\/uploads\/2014\/02\/Einsteintransformer.jpg\" height=\"400\" width=\"300\" \/><\/a><\/div>\n<p> <span style=\"background-color: white; font-family: Arial, Helvetica, sans-serif;\">Bill,<\/span><\/p>\n<div class=\"body undoreset\" id=\"yui_3_13_0_ym1_1_1391509277876_13478\" style=\"padding-left: 0px; padding-top: 12px;\">\n<div id=\"yiv2858734572\">\n<div id=\"yui_3_13_0_ym1_1_1391509277876_13480\"> <br style=\"background-color: white; font-family: Arial, Helvetica, sans-serif;\" \/><span style=\"background-color: white; font-family: Arial, Helvetica, sans-serif;\">I&#8217;d been meaning to share these stories with you after I read your book a couple years ago but I never got to it. I thought you might enjoy them, from an &#8220;engineering perspective&#8221;, I guess.<\/span><br style=\"background-color: white; font-family: Arial, Helvetica, sans-serif;\" \/><br style=\"background-color: white; font-family: Arial, Helvetica, sans-serif;\" \/><\/p>\n<div dir=\"ltr\" id=\"yui_3_13_0_ym1_1_1391509277876_13479\"> <span style=\"background-color: white; font-family: Arial, Helvetica, sans-serif;\">One of the courses I had to take for my undergrad was an engineering physics type class. I loved it. I think a lot of hams seem to have more curiosity about the physics of electronics than regular non-ham engineers, at least that&#8217;s how it&#8217;s always seemed to me. Anyway, I&#8217;m sending you a snapshot of the relativistic length contraction figure in the book &#8220;Concepts of Modern Physics&#8221;, 4th Ed by Arthur Beiser. I thought you&#8217;d enjoy it as it is almost identical to what you mentioned in Soldersmoke (from your &#8220;Atoms to Amperes&#8221; book I think).<\/span><\/div>\n<div dir=\"ltr\" id=\"yui_3_13_0_ym1_1_1391509277876_13479\"><\/div>\n<div dir=\"ltr\" id=\"yui_3_13_0_ym1_1_1391509277876_13479\"> <span style=\"font-family: Arial, Helvetica, sans-serif;\">Hopefully there&#8217;s enough resolution there to make it out. Basically, when you flow current in the same direction in both wires, they attract. That&#8217;s because the electrons see effectively many more positively charged nuclei from the other wire than they do other electrons due to the nuclei distances being compressed by the Lorentz-Fitzgerald contraction (later refined by Einstein). <\/p>\n<p>When I first saw this, in my early 20s, I was completely floored! Nowhere had I ever learned anything like this from the ham license manuals or even my basic physics course. The implications were also very profound &#8212; magnetism was nothing more than electrostatic attraction, the attraction between charges. The &#8220;electromagnetic&#8221; force was really just an electric force. Relative motion between charges gives the illusion of &#8220;magnetism&#8221;. <\/p>\n<p>Much later, I listened to some of the old Feynmann lectures. In them at one point he adamantly proclaimed that there&#8217;s only the electric force between charges, and there is no magnetic force! I still find this confusing. Recently I brought this up to a university RF engineering professor. I wondered why we dealt with Maxwell&#8217;s equations when in reality the magnetic field is an illusion. The &#8220;real&#8221; formulas come from Feynmann&#8217;s theory of quantum electrodynamics! His reply was something along the lines of Maxwell&#8217;s equations being a solution of quantum theory that worked well for our purposes. To be honest, I didn&#8217;t really understand his reply and I&#8217;m still skeptical! I think his point was that the QED calculations are overly complicated and unnecessary for most problems we deal with, things like patterns from an antenna. I don&#8217;t think Maxwell&#8217;s equations appropriately describe things like lasers though, which are more quantum in nature with the coherent beam.<\/p>\n<p>FYI, most engineering students I ran across had only passing curiosity for these things. Only in graduate school did I start to find people curious enough to really try to understand &#8220;what lies beneath&#8221; some of this stuff, mainly this physics. Honestly not even everyone in grad school was all that captivated. As you&#8217;ve said before, there&#8217;s a lot of &#8220;turn the crank&#8221; mentality in engineering where you wade through mathematics to get answers, not always thinking about the physics. It&#8217;s even worse in the digital world, where everything gets boiled down to computer code! <\/p>\n<p>One more quick thing. I talked to a physics prof once, asking him if there was any research happening in his department <\/span><span style=\"font-family: Arial, Helvetica, sans-serif;\">focused on electromagnetics and radio waves, etc. His reply: &#8220;radio waves are nothing more than the result of accelerating electrons&#8221;. Period! Discussion over. In other words, that&#8217;s ancient history. Engineers are still very much involved with new technologies involving antennas and amplifiers, etc. But as far as the physicists are concerned, I get the impression that our whole field is pretty ho-hum. But he was right about accelerating electrons, I also found out later. And it doesn&#8217;t have to be electrons. Anything carrying charge undergoing acceleration will emit photons. That&#8217;s another crazy situation that I only more recently learned.<\/span><\/div>\n<div dir=\"ltr\" id=\"yui_3_13_0_ym1_1_1391509277876_13479\"> <span style=\"font-family: Arial, Helvetica, sans-serif;\"><br \/>Hope that was entertaining!<\/p>\n<p><\/span><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"tictac-att-tray-base\" id=\"yui_3_13_0_ym1_1_1391509277876_13259\" style=\"margin-top: 10px;\">\n<div class=\"yui3-widget yui3-attachment-tray\" id=\"yui_3_13_0_ym1_1_1391509277876_13185\" style=\"border: 0px; clear: both; padding: 0px;\">\n<div class=\"yui3-attachment-tray-content\" id=\"yui_3_13_0_ym1_1_1391509277876_13187\">\n<div class=\"tictac-att white \" id=\"yui_3_13_0_ym1_1_1391509277876_13196\" style=\"background-color: white; background-position: initial initial; background-repeat: initial initial; border-top-color: rgb(236, 236, 236); border-top-style: solid; border-top-width: 1px; box-sizing: border-box; margin: 0px; padding: 0px; position: relative; width: 737.7777709960938px;\"> <a class=\"tictac-att-norton-logo\" href=\"http:\/\/buy.norton.com\/specialoffers?VENDORID=YAHOO\" style=\"-webkit-background-size: cover; background-color: rgba(0, 0, 0, 0); background-image: url(https:\/\/www.homebrewradio.us\/blog\/wp-content\/uploads\/2014\/02\/norton-horizlogo.png); background-repeat: no-repeat no-repeat; background-size: cover; box-sizing: border-box; color: rgb(25, 106, 212) !important; font-size: 13.333333969116211px; height: 22px; margin: 0px; outline: none; padding: 0px; position: absolute; right: 0px; text-decoration: initial; top: 8px; width: 57px;\" tabindex=\"-1\" target=\"_blank\"><\/a><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<p> Our book: &#8220;SolderSmoke &#8212; Global Adventures in Wireless Electronics&#8221; <a href=\"http:\/\/soldersmoke.com\/book.htm\">http:\/\/soldersmoke.com\/book.htm<\/a> Our coffee mugs, T-Shirts, bumper stickers: <a href=\"http:\/\/www.cafepress.com\/SolderSmoke\">http:\/\/www.cafepress.com\/SolderSmoke<\/a> Our Book Store: <a href=\"http:\/\/astore.amazon.com\/contracross-20\">http:\/\/astore.amazon.com\/contracross-20<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bill, I&#8217;d been meaning to share these stories with you after I read your book a couple years ago but I never got to it. I thought you might enjoy them, from an &#8220;engineering perspective&#8221;, I guess. One of the courses I had to take for my undergrad was an engineering physics type class. I &hellip; <a href=\"https:\/\/www.homebrewradio.us\/blog\/2014\/02\/04\/inductive-reactance-and-special-relativity\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Inductive Reactance and Special Relativity&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":5752,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[135,338,39],"tags":[],"class_list":["post-5751","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-einstein-albert","category-em-waves","category-physics"],"_links":{"self":[{"href":"https:\/\/www.homebrewradio.us\/blog\/wp-json\/wp\/v2\/posts\/5751","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.homebrewradio.us\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.homebrewradio.us\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.homebrewradio.us\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.homebrewradio.us\/blog\/wp-json\/wp\/v2\/comments?post=5751"}],"version-history":[{"count":1,"href":"https:\/\/www.homebrewradio.us\/blog\/wp-json\/wp\/v2\/posts\/5751\/revisions"}],"predecessor-version":[{"id":5754,"href":"https:\/\/www.homebrewradio.us\/blog\/wp-json\/wp\/v2\/posts\/5751\/revisions\/5754"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.homebrewradio.us\/blog\/wp-json\/wp\/v2\/media\/5752"}],"wp:attachment":[{"href":"https:\/\/www.homebrewradio.us\/blog\/wp-json\/wp\/v2\/media?parent=5751"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.homebrewradio.us\/blog\/wp-json\/wp\/v2\/categories?post=5751"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.homebrewradio.us\/blog\/wp-json\/wp\/v2\/tags?post=5751"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}