{"id":98913,"date":"2015-06-26T03:00:00","date_gmt":"2015-06-26T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=c11bda2a22ae634a0cbeca97f4d84388"},"modified":"2015-06-26T03:00:00","modified_gmt":"2015-06-26T00:00:00","slug":"average-lorentz-self-force-from-electric-field-lines","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=98913","title":{"rendered":"Average Lorentz self-force from electric field lines"},"content":{"rendered":"<p>We generalize the derivation of electromagnetic fields of a charged particle moving with a constant<br \/>\nacceleration Singal (2011 Am. J. Phys. 79 [http:\/\/dx.doi.org\/10.1119\/1.3620257] 1036 ) to a variable<br \/>\nacceleration (piecewise constants) over a small finite time interval using Coulomb&#8217;s law,<br \/>\nrelativistic transformations of electromagnetic fields and Thomson&#8217;s construction Thomson (1904<br \/>\nElectricity and Matter (New York: Charles Scribners) ch 3). We derive the average Lorentz self-force<br \/>\nfor a charged particle in arbitrary non-relativistic motion via averaging the fields at retarded<br \/>\ntime.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We generalize the derivation of electromagnetic fields of a charged particle moving with a constant<br \/>\nacceleration Singal (2011 Am. J. Phys. 79 [http:\/\/dx.doi.org\/10.1119\/1.3620257] 1036 ) to a variable<br \/>\nacceleration (piecewise constants) over a small f&#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-98913","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\/98913","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=98913"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/98913\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=98913"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=98913"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=98913"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}