{"id":11351,"date":"2024-11-11T12:12:37","date_gmt":"2024-11-11T12:12:37","guid":{"rendered":"https:\/\/fisicaevestibular.com.br\/novo\/?page_id=11351"},"modified":"2024-12-03T14:07:15","modified_gmt":"2024-12-03T14:07:15","slug":"campo-magnetico-gerado-por-uma-espira-circular-ou-por-um-solenoide-en","status":"publish","type":"page","link":"https:\/\/fisicaevestibular.com.br\/novo\/eletricidade\/eletromagnetismo\/campo-magnetico-gerado-por-uma-espira-circular-ou-por-um-solenoide-en\/","title":{"rendered":"Magnetic field generated by a circular coil or by a solenoid EN"},"content":{"rendered":"<h1 class=\"page-title\"><span>MAGNETIC FIELD GENERATED BY A CIRCULAR COIL OR A SOLENOID<\/span><\/h1>\n<div class=\"entry clearfix\">\n<p align=\"CENTER\"><b><span>Magnetic field generated by a circular coil or a solenoid<\/span><\/b><\/p>\n<p>&nbsp;<\/p>\n<p align=\"CENTER\"><b><span>Direction and sense of the magnetic field vector\u00a0<\/span><img decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_fe1309ad.png\" alt=\"\" width=\"17\" height=\"18\" name=\"Imagem 43\" align=\"BOTTOM\" border=\"0\" \/><span>inside a circular loop<\/span><\/b><\/p>\n<p><a name=\"_GoBack\"><\/a><\/p>\n<p><b><span>In the\u00a0<\/span><\/b><b><span>figure on the left,\u00a0<\/span><\/b><b><span>you can see a\u00a0<\/span><\/b><b><span>conductor in the form of a circular coil with center O and radius R\u00a0<\/span><\/b><b><span>being\u00a0<\/span><\/b><b><span>traversed by an electric current of intensity i\u00a0<\/span><\/b><b><span>.<\/span><\/b><\/p>\n<p align=\"CENTER\"><img fetchpriority=\"high\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_97a306a3.png\" alt=\"\" width=\"630\" height=\"257\" name=\"Imagem 39\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><b><span>Around\u00a0<\/span><\/b><b><span>the coil (figure on the right) a\u00a0<\/span><\/b><span><b>magnetic field\u00a0<\/b><\/span><b><span>appears\u00a0<\/span><\/b><span><b>whose\u00a0<\/b><b>direction and sense\u00a0<\/b><b>is provided by the\u00a0<\/b><b>right-hand rule\u00a0<\/b><b>(you place your thumb in the direction of the current with your hand open, then you close your hand as if you were going to pick up the wire and the direction of the \u201cclosed\u201d hand is the direction of the vector\u00a0<\/b><b>),\u00a0\u00a0<\/b><b>considering each small section of the circumference as being a straight conductor.<\/b><\/span><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><img decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_fe1309ad.png\" alt=\"\" width=\"17\" height=\"18\" name=\"Imagem 40\" align=\"BOTTOM\" border=\"0\" \/><\/b><b><\/b><\/p>\n<p><b><span>Note in the figure on the right that in the\u00a0<\/span><\/b><b><span>plane of the circle,\u00a0<\/span><\/b><b><span>all the\u00a0<\/span><\/b><b><span>lines of force have coincident directions and that in the center of the loop, in any position that you use the right-hand rule\u00a0<\/span><\/b><b><span>, the\u00a0<\/span><\/b><b><span>magnetic field\u00a0<\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_b1bc1ec4.png\" alt=\"\" width=\"14\" height=\"18\" name=\"Imagem 42\" align=\"BOTTOM\" border=\"0\" \/><span>\u00a0is perpendicular to the plane of the paper and, in this example, entering it.\u00a0<\/span><\/b><\/p>\n<p align=\"CENTER\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_7fa7592e.png\" alt=\"\" width=\"774\" height=\"401\" name=\"Imagem 5\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p align=\"CENTER\"><b><span>What you should know, information and tips<\/span><\/b><\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_1edc8fa.png\" alt=\"\" width=\"60\" height=\"26\" name=\"Imagem 1\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_f71e0cf4.png\" alt=\"\" width=\"774\" height=\"221\" name=\"Imagem 2\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_1edc8fa.png\" alt=\"\" width=\"60\" height=\"26\" name=\"Imagem 4\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_b66c20e.png\" alt=\"\" width=\"774\" height=\"384\" name=\"Imagem 3\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p>&nbsp;<\/p>\n<p align=\"CENTER\"><b><span>Magnetic field inside a solenoid<\/span><\/b><\/p>\n<p><b><span>A\u00a0<\/span><\/b><b><span>solenoid or long coil\u00a0<\/span><\/b><b><span>consists\u00a0<\/span><\/b><b><span>of a conductor wound\u00a0<\/span><\/b><b><span>with a\u00a0<\/span><\/b><b><span>very large number of equal turns, one next to the other, as shown in the figure below.<\/span><\/b><\/p>\n<p align=\"CENTER\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_fe7851c7.png\" alt=\"\" width=\"775\" height=\"161\" name=\"Imagem 6\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><b><span>When the\u00a0<\/span><\/b><b><span>solenoid\u00a0<\/span><\/b><b><span>is\u00a0<\/span><\/b><b><span>traversed by electric current\u00a0<\/span><\/b><b><span>, the\u00a0<\/span><\/b><b><span>configuration\u00a0<\/span><\/b><b><span>of its\u00a0<\/span><\/b><b><span>induction lines\u00a0<\/span><\/b><b><span>is obtained by\u00a0<\/span><\/b><b><span>combining the configurations of each coil, which is equivalent to the configuration of the induction lines of a\u00a0<\/span><\/b><b><span>natural magnet.<\/span><\/b><\/p>\n<p align=\"CENTER\"><b><span>Direction of the induction lines inside and outside the solenoid<\/span><\/b><\/p>\n<p><b><span>The\u00a0<\/span><\/b><b><span>direction of the induction lines inside and outside the solenoid\u00a0<\/span><\/b><b><span>is given by the\u00a0<\/span><\/b><b><span>hand rule<\/span><\/b><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_c6f3f002.png\" alt=\"\" width=\"774\" height=\"228\" name=\"Imagem 38\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><b><span>right applied to one of its coils (figure 2) and\u00a0<\/span><\/b><b><span>inside\u00a0<\/span><\/b><b><span>it the magnetic field is practically uniform (figure 1\u00a0<\/span><\/b><b><span>) and outside\u00a0<\/span><\/b><b><span>there are lines that leave the north pole and reach the south pole.<\/span><\/b><\/p>\n<p><b><span>These\u00a0<\/span><\/b><b><span>lines of force (of induction) of the magnetic field\u00a0<\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_fe1309ad.png\" alt=\"\" width=\"17\" height=\"18\" name=\"Imagem 41\" align=\"BOTTOM\" border=\"0\" \/><span>produced by a solenoid\u00a0<\/span><\/b><b><span>are<\/span><\/b><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_6b5e1aa8.png\" alt=\"\" width=\"774\" height=\"214\" name=\"Imagem 44\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><b><span>identical\u00a0<\/span><\/b><b><span>to the\u00a0<\/span><\/b><b><span>magnetic field produced by a\u00a0<\/span><\/b><b><span>natural magnet.<\/span><\/b><b>\u00a0<\/b><\/p>\n<p><b><span>In practice, it makes no difference whether a magnetic field is produced by a magnet or by a solenoid.<\/span><\/b><\/p>\n<p align=\"CENTER\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_199b0795.png\" alt=\"\" width=\"593\" height=\"28\" name=\"Imagem 48\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><b><span>Inside\u00a0<\/span><\/b><b><span>the solenoid\u00a0<\/span><\/b><b><span>the\u00a0<\/span><\/b><b><span>magnetic field is practically uniform\u00a0<\/span><\/b><b><span>and\u00a0<\/span><\/b><b><span>its intensity is constant and is:<\/span><\/b><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_3d5b00cc.png\" alt=\"\" width=\"774\" height=\"195\" name=\"Imagem 49\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><b><span>The\u00a0<\/span><\/b><b><span>above expression is valid for coreless solenoids\u00a0<\/span><\/b><b><span>\u00a0 \u00a0 if you place\u00a0<\/span><\/b><b><span>inside\u00a0<\/span><\/b><b><span>the\u00a0<\/span><\/b><b><span>solenoid<\/span><\/b><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_f67bc88e.png\" alt=\"\" width=\"775\" height=\"180\" name=\"Imagem 50\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><b><span>a\u00a0<\/span><\/b><b><span>core of ferromagnetic material,\u00a0<\/span><\/b><b><span>the intensity of the\u00a0<\/span><\/b><span><b>generated\u00a0<\/b><\/span><b><span>magnetic field is\u00a0<\/span><\/b><span><b>greatly increased, it will be an electromagnet (a very powerful magnet). \u00a0<\/b><\/span><b><\/b><b><\/b><\/p>\n<p align=\"CENTER\"><b><span>Uses of electromagnets<\/span><\/b><\/p>\n<p><b><span>They are\u00a0<\/span><\/b><b><span>widely used in the selection and transportation of iron scrap, picking up cars and metal objects.<\/span><\/b><\/p>\n<p align=\"CENTER\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_b8a493f6.png\" alt=\"\" width=\"775\" height=\"164\" name=\"Imagem 51\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><b><span>heavy, circuit breakers, guitar music amplifiers, speakers, loudspeakers, magnetic locks, televisions, MRI, etc.<\/span><\/b><\/p>\n<p>&nbsp;<\/p>\n<p align=\"CENTER\"><b><span>What you should know, information and tips<\/span><\/b><\/p>\n<p>\u00a0<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_1edc8fa.png\" alt=\"\" width=\"60\" height=\"26\" name=\"Imagem 52\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_5225db48.png\" alt=\"\" width=\"774\" height=\"203\" name=\"Imagem 54\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_3d5b00cc.png\" alt=\"\" width=\"774\" height=\"195\" name=\"Imagem 53\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_1edc8fa.png\" alt=\"\" width=\"60\" height=\"26\" name=\"Imagem 124\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_d6cc20c6.png\" alt=\"\" width=\"775\" height=\"162\" name=\"Imagem 125\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_1edc8fa.png\" alt=\"\" width=\"60\" height=\"26\" name=\"Imagem 126\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><b><span>The figure\u00a0<\/span><\/b><b><span>represents an electromagnet\u00a0<\/span><\/b><b><span>and a\u00a0<\/span><\/b><b><span>pendulum,\u00a0<\/span><\/b><b><span>whose mass attached\u00a0<\/span><\/b><b><span>to the end is a small magnet\u00a0<\/span><\/b><b><span>.<\/span><\/b><\/p>\n<p align=\"CENTER\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_52125032.png\" alt=\"\" width=\"604\" height=\"186\" name=\"Imagem 128\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_88c43710.png\" alt=\"\" width=\"774\" height=\"152\" name=\"Imagem 130\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_1edc8fa.png\" alt=\"\" width=\"60\" height=\"26\" name=\"Imagem 7\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p align=\"CENTER\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_36de0ef6.png\" alt=\"\" width=\"774\" height=\"240\" name=\"Imagem 9\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletromag\/mag5\/i_bd4707e9de65a2ea_html_3bf57a46.png\" alt=\"\" width=\"774\" height=\"214\" name=\"Imagem 10\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<h3><a title=\"Entrance exam exercises with commented solutions on Magnetic Field generated by a circular coil or by a solenoid\" href=\"https:\/\/fisicaevestibular.com.br\/novo\/eletricidade\/eletromagnetismo\/campo-magnetico-gerado-por-uma-espira-circular-ou-por-um-solenoide\/exercicios-de-vestibulares-com-resolucoes-comentadas-sobre-campo-magnetico-gerado-por-uma-espira-circular-ou-por-um-solenoide\/\"><span>Check out the exercises with commented solutions<\/span><\/a><\/h3>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>MAGNETIC FIELD GENERATED BY A CIRCULAR COIL OR A SOLENOID Magnetic field generated by a circular coil or a solenoid &nbsp; Direction and sense of the magnetic field vector\u00a0inside a circular loop In the\u00a0figure on the left,\u00a0you can see a\u00a0conductor in the form of a circular coil with center O and radius R\u00a0being\u00a0traversed by an electric current of intensity i\u00a0.<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":243,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-11351","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/11351","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/comments?post=11351"}],"version-history":[{"count":2,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/11351\/revisions"}],"predecessor-version":[{"id":12047,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/11351\/revisions\/12047"}],"up":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/243"}],"wp:attachment":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/media?parent=11351"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}