{"id":309393,"date":"2016-11-07T03:00:00","date_gmt":"2016-11-07T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=a8bc8df974699cdf9c4049b181cb09f4"},"modified":"2016-11-07T03:00:00","modified_gmt":"2016-11-07T00:00:00","slug":"a-general-realistic-treatment-of-the-disk-paradox","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=309393","title":{"rendered":"A general realistic treatment of the disk paradox"},"content":{"rendered":"<p>Mechanical angular momentum is not conserved in systems involving electromagnetic fields with<br \/>\nnon-zero electromagnetic field angular momentum. Conservation is restored only if the total<br \/>\n(mechanical and field) angular momentum is considered. Previous studies have investigated this<br \/>\neffect, known as \u2018Feynman\u2019s Electromagnetic Paradox\u2019 or simply \u2018Disk Paradox\u2019 in the context of<br \/>\nidealized systems (infinite or infinitesimal solenoids and charged cylinders etc). In the present<br \/>\nanalysis we generalize previous studies by considering more realistic systems with finite components<br \/>\nand demonstrating explicitly the conservation of the total angular momentum. This is achieved by<br \/>\nexpressing both the mechanical and the field angular momentum in terms of charges and magnetic field<br \/>\nfluxes through various system components. Using this general expression and the closure of magnetic<br \/>\nfield lines, we demonstrate explicitly the conservation of total angular momentum in both idealized<br \/>\nand realistic syste&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mechanical angular momentum is not conserved in systems involving electromagnetic fields with<br \/>\nnon-zero electromagnetic field angular momentum. Conservation is restored only if the total<br \/>\n(mechanical and field) angular momentum is considered. Previous &#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-309393","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\/309393","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=309393"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/309393\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=309393"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=309393"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=309393"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}