{"id":87880,"date":"2015-05-22T03:00:00","date_gmt":"2015-05-22T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=dbb2757bed3aaf85a5007bac323c3b58"},"modified":"2015-05-22T03:00:00","modified_gmt":"2015-05-22T00:00:00","slug":"electric-field-of-a-point-charge-in-truncated-hyperbolic-motion","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=87880","title":{"rendered":"Electric field of a point charge in truncated hyperbolic motion"},"content":{"rendered":"<p>We find the electric field of a point charge in \u2018truncated hyperbolic motion\u2019, in which the charge<br \/>\nmoves at a constant velocity followed by motion with a constant acceleration in its instantaneous<br \/>\nrest frame. The same Lienard\u2013Wiechert formula holds for the acceleration phase and the constant<br \/>\nvelocity phase of the charge\u2019s motion. The only modification is that the formula giving the retarded<br \/>\ntime is different for the constant velocity motion than it was for the accelerated motion. The<br \/>\nelectric field lines are continuous as the retarded time increases through the transition time<br \/>\nbetween constant velocity and accelerated motion. As the transition time approaches negative<br \/>\ninfinity the electric field develops a delta function contribution that has been introduced by<br \/>\nothers as necessary to preserve Gauss\u2019s law for the electric field.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We find the electric field of a point charge in \u2018truncated hyperbolic motion\u2019, in which the charge<br \/>\nmoves at a constant velocity followed by motion with a constant acceleration in its instantaneous<br \/>\nrest frame. The same Lienard\u2013Wiechert formula h&#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-87880","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\/87880","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=87880"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/87880\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=87880"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=87880"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=87880"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}