{"id":407353,"date":"2017-05-12T02:00:00","date_gmt":"2017-05-11T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=3c534ee5146d76b0a510db6f0c76d1e1"},"modified":"2017-05-12T02:00:00","modified_gmt":"2017-05-11T23:00:00","slug":"electromagnetic-response-of-a-metal-a-comparative-analysis-of-the-free-charge-model-and-thebound-charge-model","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=407353","title":{"rendered":"Electromagnetic response of a metal: a comparative analysis of the \u2018free charge model\u2019 and the\r\n\u2018bound charge model\u2019"},"content":{"rendered":"<p>A natural way to analyse the electromagnetic response of a metal is by treating the conduction<br \/>\nelectrons as \u2018free charge\u2019, as described in most\u00a0textbooks. Some textbooks, such as the one\u00a0by<br \/>\nFeynman (1965 The Feynman Lectures on Physics (Reading, MA: Addison-Wesley)), discuss another<br \/>\napproach, where the conduction electrons are effectively treated as \u2018bound charge\u2019. This is because<br \/>\nhere one talks about the\u00a0oscillating polarization of a metal\u00a0when an alternating field is applied,<br \/>\nwhich results in a non-unity permittivity. In this paper, we perform a comparative analysis of these<br \/>\ntwo approaches. We explicitly show that although the two models give different values of<br \/>\ncertain\u00a0quantities, such as the conductivity and permittivity, the electric and magnetic fields as<br \/>\nwell as the total current and heat dissipation are the same, as expected.\u00a0The discussions presented<br \/>\nin the paper give some useful insights into the electrodynamics of conductors.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A natural way to analyse the electromagnetic response of a metal is by treating the conduction<br \/>\nelectrons as \u2018free charge\u2019, as described in most\u00a0textbooks. Some textbooks, such as the one\u00a0by<br \/>\nFeynman (1965 The Feynman Lectures on Physics (Reading&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-407353","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/407353","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=407353"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/407353\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=407353"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=407353"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=407353"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}