{"id":439291,"date":"2017-08-08T02:00:00","date_gmt":"2017-08-07T23:00:00","guid":{"rendered":"https:\/\/www.fyysika.ee\/?guid=ef2e50086aa44af46114b9acc64cdbac"},"modified":"2017-08-08T02:00:00","modified_gmt":"2017-08-07T23:00:00","slug":"equilibrium-charge-distribution-on-a-finite-straight-one-dimensional-wire-2","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=439291","title":{"rendered":"Equilibrium charge distribution on a finite straight one-dimensional wire"},"content":{"rendered":"<p>The electrostatic properties of uniformly charged regular bodies are prominently discussed on<br \/>\ncollege-level electromagnetism courses. However, one of the most basic problems of electrostatics<br \/>\nthat deals with how a continuous charge distribution reaches equilibrium is rarely mentioned at this<br \/>\nlevel. In this work we revisit the problem of equilibrium charge distribution on a straight<br \/>\none-dimensional (1D) wire with finite length. The majority of existing treatments in the literature<br \/>\ndeal with the 1D wire as a limiting case of a higher-dimensional structure that can be treated<br \/>\nanalytically for a Coulomb interaction potential between point charges. Surprisingly, different<br \/>\nmodels (for instance, an ellipsoid or a cylinder model) may lead to different results, thus there is<br \/>\neven some ambiguity on whether the problem is well-posed. In this work we adopt a different approach<br \/>\nwhere we do not start with any higher-dimensional body that reduces to a 1D wire in the appropriate<br \/>\nlimit. Instead,&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The electrostatic properties of uniformly charged regular bodies are prominently discussed on<br \/>\ncollege-level electromagnetism courses. However, one of the most basic problems of electrostatics<br \/>\nthat deals with how a continuous charge distribution reach&#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-439291","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\/439291","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=439291"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/439291\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=439291"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=439291"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=439291"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}