{"id":331774,"date":"2016-12-06T03:00:00","date_gmt":"2016-12-06T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=0ebaae59407286fdea7703634b40c6f0"},"modified":"2016-12-06T03:00:00","modified_gmt":"2016-12-06T00:00:00","slug":"on-the-impedance-of-infinite-lc-ladder-networks","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=331774","title":{"rendered":"On the impedance of infinite LC ladder networks"},"content":{"rendered":"<p>The subject of electrical impedance is on the syllabi of most undergraduate courses in physics and<br \/>\nelectrical engineering. For example, Richard Feynman in his famous undergraduate text Lectures on<br \/>\nPhysics shows how to calculate the impedance of an infinite LC ladder. However, the formula he<br \/>\nobtains has no useful physical interpretation if considered in the steady state frequency domain. In<br \/>\nfact the value of this impedance becomes infinite unless one assumes that the energy flow along the<br \/>\ninfinite LC ladder is spatially uniform and in one direction only. This ad-hoc assumption, which<br \/>\nrenders the solution non-causal, is entirely unnecessary if the problem is considered in the time<br \/>\ndomain. It is important for students to appreciate that the concept of impedance works well only in<br \/>\ndissipative circuits where the effects of transients are largely short lived. The purpose of this<br \/>\npaper is to show that the same problem treated in the time domain by the Laplace transform method<br \/>\npr&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The subject of electrical impedance is on the syllabi of most undergraduate courses in physics and<br \/>\nelectrical engineering. For example, Richard Feynman in his famous undergraduate text Lectures on<br \/>\nPhysics shows how to calculate the impedance of an in&#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-331774","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\/331774","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=331774"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/331774\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=331774"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=331774"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=331774"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}