{"id":3126,"date":"2018-06-15T00:32:00","date_gmt":"2018-06-15T07:32:00","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=3126"},"modified":"2018-06-15T00:32:00","modified_gmt":"2018-06-15T07:32:00","slug":"magnetic-field-produced-by-two-parallel-current-carrying-wires-problems-and-solutions","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/magnetic-field-produced-by-two-parallel-current-carrying-wires-problems-and-solutions.htm","title":{"rendered":"Magnetic field produced by two parallel current-carrying wires – problems and solutions","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"

1. Two long parallel wires carrying the same currents, <\/span><\/span>3-A. If the distance<\/a> between both wires is 40 cm, determine the magnetic field<\/a> at point P. <\/span><\/span>\u03bc<\/span><\/span>o<\/span><\/sub> = 4<\/span><\/span>\u03c0 x<\/span><\/span><\/span> 10<\/span><\/span>\u22127<\/span><\/span><\/sup> Wb A<\/span><\/span>\u22121<\/span><\/span><\/sup> m<\/span><\/span>\u22121<\/span><\/span><\/sup>.<\/span><\/span><\/p>\n

Known :\"Magnetic<\/u><\/span><\/span><\/span><\/p>\n

Electric current<\/a> (I) = 3-A<\/span><\/span><\/span><\/p>\n

Distance between wire 1 and 2 (r<\/span><\/span><\/span>12<\/span><\/span><\/sub>) = 40 cm = 0.4 m<\/span><\/span><\/span><\/p>\n

Distance between wire 1 and P (r<\/span><\/span><\/span>1P<\/span><\/span><\/sub>) = 30 cm = 0.3 m<\/span><\/span><\/span><\/p>\n

Distance between wire 2 and P (r<\/span><\/span><\/span>2P<\/span><\/span><\/sub>) = 40 \u2013 30 = 10 cm = 0.1 m<\/span><\/span><\/span><\/p>\n

\u00b5<\/span><\/span><\/span>o<\/span><\/span><\/sub> = 4\u03c0 x 10<\/span><\/span><\/span>-7<\/span><\/span><\/sup><\/span> Wb.A<\/span><\/span><\/span>-1<\/span><\/span><\/sup><\/span>.m<\/span><\/span><\/span>-1<\/span><\/span><\/sup><\/span><\/p>\n

Wanted :<\/u><\/span><\/span><\/span> Magnetic field at point P<\/span><\/span><\/span><\/p>\n

Solution :<\/u><\/span><\/span><\/span><\/p>\n

Magnetic field produced by wire 1 (left)<\/u><\/span><\/span><\/span> :<\/span><\/span><\/span><\/p>\n

\"Magnetic<\/p>\n

Magnetic field produced by wire 2 (right)<\/u><\/span><\/span><\/span> :<\/span><\/span><\/span><\/p>\n

\"Magnetic<\/p>\n

Magnetic field at point P :<\/span><\/span><\/span><\/p>\n

B<\/span><\/span><\/span>P<\/span><\/span><\/sub> = B<\/span><\/span><\/span>2<\/span><\/span><\/sub> \u2013 B<\/span><\/span><\/span>1<\/span><\/span><\/sub> = 6 x 10<\/span><\/span><\/span>-6<\/span><\/span><\/sup><\/span> \u2013 2 x 10<\/span><\/span><\/span>-6<\/span><\/span><\/sup><\/span><\/p>\n

B<\/span><\/span><\/span>P<\/span><\/span><\/sub> = 4 x 10<\/span><\/span><\/span>-6<\/span><\/span><\/sup><\/span> Tesla<\/span><\/span><\/span><\/p>\n

2. A long wire carrying current <\/span><\/span><\/span>2-A. Determine magnitude and direction of magnetic field at point P. (\u03bc<\/span><\/span>o<\/span><\/sub> = 4\u03c0 x 10<\/span><\/span>\u22127<\/span><\/span><\/sup> Wb A<\/span><\/span>\u22121<\/span><\/span><\/sup> m<\/span><\/span>\u22121<\/span><\/span><\/sup>)<\/span><\/span><\/p>\n

\"MagneticKnown :<\/u><\/span><\/span><\/span><\/p>\n

Electric current (I) = 2 A<\/span><\/span><\/span><\/p>\n

Distance between wire and point P (r<\/span><\/span><\/span>P<\/span><\/span><\/sub>) = 4 cm = 0.04 m<\/span><\/span><\/span><\/p>\n

\u03bc<\/span><\/span>o<\/span><\/sub> = 4\u03c0 x 10<\/span><\/span>\u22127<\/span><\/span><\/sup> Wb. A<\/span><\/span>\u22121<\/span><\/span><\/sup> m<\/span><\/span>\u22121<\/span><\/span><\/sup><\/p>\n

Wanted :<\/u><\/span><\/span><\/span> Magnitude and direction of magnetic induction at point P<\/span><\/span><\/span><\/p>\n

Solution :<\/u><\/span><\/span><\/span><\/p>\n

\"Magnetic<\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"

1. Two long parallel wires carrying the same currents, 3-A. If the distance between both wires is 40 cm, determine the magnetic field at point P. \u03bco = 4\u03c0 x 10\u22127 Wb A\u22121 m\u22121. Known : Electric current (I) = 3-A Distance between wire 1 and 2 (r12) = 40 cm = 0.4 m Distance … Read more<\/a><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_seopress_robots_follow":"","_seopress_robots_imageindex":"","_seopress_robots_snippet":"","_seopress_robots_primary_cat":"","_seopress_robots_breadcrumbs":"","_seopress_robots_freeze_modified_date":"","_seopress_robots_custom_modified_date":"","_seopress_robots_canonical":"","_seopress_social_fb_title":"","_seopress_social_fb_desc":"","_seopress_social_fb_img":"","_seopress_social_fb_img_attachment_id":0,"_seopress_social_fb_img_width":0,"_seopress_social_fb_img_height":0,"_seopress_social_twitter_title":"","_seopress_social_twitter_desc":"","_seopress_social_twitter_img":"","_seopress_social_twitter_img_attachment_id":0,"_seopress_social_twitter_img_width":0,"_seopress_social_twitter_img_height":0,"_seopress_redirections_value":"","_seopress_redirections_enabled":"","_seopress_redirections_enabled_regex":"","_seopress_redirections_logged_status":"","_seopress_redirections_param":"","_seopress_redirections_type":0,"_seopress_analysis_target_kw":"Magnetic field produced by two parallel current-carrying wires - problems and solutions","_seopress_news_disabled":"","_seopress_video_disabled":"","_seopress_video":[],"_seopress_pro_schemas_manual":[],"_seopress_pro_rich_snippets_disable_all":"","_seopress_pro_rich_snippets_disable":[],"_seopress_pro_schemas":[],"footnotes":""},"categories":[3],"tags":[],"class_list":["post-3126","post","type-post","status-publish","format-standard","hentry","category-solved-problems-in-basic-physics"],"gt_translate_keys":[{"key":"link","format":"url"}],"_links":{"self":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/3126","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/comments?post=3126"}],"version-history":[{"count":0,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/3126\/revisions"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=3126"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=3126"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=3126"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}