{"id":344796,"date":"2016-12-22T03:00:00","date_gmt":"2016-12-22T00:00:00","guid":{"rendered":"https:\/\/www.fyysika.ee\/?guid=5ea8d8b560960553cd3088e7bbd84b53"},"modified":"2016-12-22T03:00:00","modified_gmt":"2016-12-22T00:00:00","slug":"influence-of-initial-velocity-on-trajectories-of-a-charged-particle-in-uniform-crossed-electric-andmagnetic-fields-2","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=344796","title":{"rendered":"Influence of initial velocity on trajectories of a charged particle in uniform crossed electric and\r\nmagnetic fields"},"content":{"rendered":"<p>Magnetic and electric fields can cause a charged particle to form interesting trajectories. In<br \/>\ngeneral, each trajectory is discussed separately in university physics textbooks for undergraduate<br \/>\nstudents. In this work, a solution of a charged particle moving in a uniform electric field at right<br \/>\nangles to a uniform magnetic field (uniform crossed electric and magnetic fields) is reported; it is<br \/>\nlimited to particle motion in a plane. Specific solutions and their trajectories are obtained only<br \/>\nby varying the initial particle velocity. The result shows five basic trajectory patterns, i.e.,<br \/>\nstraight line, sinusoid-like, cycloid, cycloid-like with oscillation, and circle-like. The region of<br \/>\neach trajectory is also mapped in the initial velocity space of the particle. This paper is intended<br \/>\nfor undergraduate students and describes further the trajectories of a charged particle through the<br \/>\nregions of electric and magnetic fields influenced by initial condition of the particle, where<br \/>\nelec&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Magnetic and electric fields can cause a charged particle to form interesting trajectories. In<br \/>\ngeneral, each trajectory is discussed separately in university physics textbooks for undergraduate<br \/>\nstudents. In this work, a solution of a charged particle&#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-344796","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\/344796","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=344796"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/344796\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=344796"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=344796"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=344796"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}