{"id":3003,"date":"2018-06-03T16:37:29","date_gmt":"2018-06-03T23:37:29","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=3003"},"modified":"2018-06-03T16:37:29","modified_gmt":"2018-06-03T23:37:29","slug":"two-parallel-conductors-carrying-currents-problems-and-solutions","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/two-parallel-conductors-carrying-currents-problems-and-solutions.htm","title":{"rendered":"Two parallel conductors carrying currents \u2013 problems and solutions","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"

1. Wire P carrying current 6-A upward as shown in the figure below. If \u00b5<\/span><\/span>o<\/span><\/sub> = 4\u03c0.10<\/span><\/span>-7<\/span><\/span><\/sup> wb A<\/span><\/span>-1<\/span><\/span><\/sup> m<\/span><\/span>-1<\/span><\/span><\/sup> and there is a repulsive force between wire P and Q 1.2.10<\/span><\/span>-5<\/span><\/span><\/sup> N.m<\/span><\/span>–<\/span><\/span><\/sup>1. Determine the magnitude and direction of electric current<\/a> on wire Q.<\/span><\/span><\/p>\n

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

I<\/span><\/span>P<\/span><\/sub> = 6 Ampere<\/span><\/span><\/p>\n

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

F\/l = 1,2 x 10<\/span><\/span>-5<\/span><\/span><\/sup> N m<\/span><\/span>-1<\/span><\/span><\/sup><\/p>\n

L = 1 meter<\/span><\/span><\/p>\n

Wanted:<\/u><\/span><\/span> Magnitude and direction of electric current on wire Q<\/span><\/span><\/p>\n

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

The direction of electric current on wire Q :<\/i><\/span><\/span><\/p>\n

There is a repulsive force between wire P and Q so that the electric current on wire P has opposite direction with the electric current on wire Q. <\/span><\/span><\/p>\n

On wire P, electric current upward so that on wire Q electric current downward.<\/span><\/span><\/p>\n

Electric current on wire Q :<\/i><\/span><\/span><\/p>\n

\"Two<\/p>\n

2. Two wires parallel, L, and M are 2-cm apart (see figure). Wire M carries a current of 4-A. Both wires exert a repulsive force on each other 6 x 10<\/span><\/span>-5<\/span><\/span><\/sup> Nm<\/span><\/span>-1<\/span><\/span><\/sup>. Determine magnitude and direction of electric current on wire L. (\u00b5<\/span><\/span>o<\/span><\/sub> = 4\u03c0.10<\/span><\/span>-7<\/span><\/span><\/sup> Wb.A<\/span><\/span>-1<\/span><\/span><\/sup>m<\/span><\/span>-1<\/span><\/span><\/sup>)<\/span><\/span><\/p>\n

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

I<\/span><\/span>M<\/span><\/sub> = 4 Ampere<\/span><\/span><\/p>\n

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

F\/l = 6 x 10<\/span><\/span>-5<\/span><\/span><\/sup> N m<\/span><\/span>-1<\/span><\/span><\/sup><\/p>\n

L = 2 cm = 0.02 m<\/span><\/span><\/p>\n

Wanted:<\/u><\/span><\/span> Magnitude and direction of electric current on wire L<\/span><\/span><\/p>\n

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

The direction of the electric current on wire L :<\/i><\/span><\/span><\/p>\n

There is a repulsive force between the wire L and the wire M so that the electric current on the wire L is in opposite direction with the current on the wire M. <\/span><\/span><\/span><\/p>\n

On the wire M electric current is directed upwards so that on the wire L the electric current is downward.<\/span><\/span><\/span><\/p>\n

Electric current on wire L:<\/i><\/span><\/span><\/p>\n

\"Two<\/p>\n

3. Wire P and Q are 1-m apart. Wire P carrying current 1-A. If \u00b5<\/span><\/span>o<\/span><\/sub> = 4<\/span><\/span>\u03c0.10<\/span><\/span>-7<\/span><\/span><\/sup> Wb.A<\/span><\/span>-1<\/span><\/span><\/sup>.m<\/span><\/span>-1 <\/span><\/span><\/sup>and there is an attractive force on each other 10<\/span><\/span>-7<\/span><\/span><\/sup> N.m<\/span><\/span>-1<\/span><\/span><\/sup>, determine magnitude and direction of electric current on wire Q.<\/span><\/span><\/p>\n

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

I<\/span><\/span>P<\/span><\/sub> = 1 Ampere\"Two<\/span><\/span><\/p>\n

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

F\/l = 10<\/span><\/span>-7<\/span><\/span><\/sup> N m<\/span><\/span>-1<\/span><\/span><\/sup><\/p>\n

L = 1 meter<\/span><\/span><\/p>\n

Wanted:<\/u><\/span><\/span> Magnitude and direction of current on wire Q <\/span><\/span><\/p>\n

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

The direction of electric current on wire Q : <\/i><\/span><\/span><\/p>\n

There is an attractive force between wire P and wire Q so that the direction of the electric current on the wire P is the same as the direction of current on wire Q. <\/span><\/span><\/span><\/p>\n

On wire P the direction of electric current is downward so that on wire Q the direction of electric current is downward.<\/span><\/span><\/span><\/p>\n

Electric current on wire Q :<\/i><\/span><\/span><\/p>\n

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

1. Wire P carrying current 6-A upward as shown in the figure below. If \u00b5o = 4\u03c0.10-7 wb A-1 m-1 and there is a repulsive force between wire P and Q 1.2.10-5 N.m–1. Determine the magnitude and direction of electric current on wire Q. Known : IP = 6 Ampere \u00b5o = 4\u03c0 x 10-7 … 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":"Two parallel conductors carrying currents \u2013 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-3003","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\/3003","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=3003"}],"version-history":[{"count":0,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/3003\/revisions"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=3003"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=3003"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=3003"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}