{"id":4677,"date":"2025-04-17T11:06:51","date_gmt":"2025-04-17T05:36:51","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=4677"},"modified":"2025-07-22T15:01:11","modified_gmt":"2025-07-22T09:31:11","slug":"mutual-inductance","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/ee\/lti-systems\/mutual-inductance","title":{"rendered":"MUTUAL INDUCTANCE"},"content":{"rendered":"

When we defined inductance, we did so by specifying the relationship between the terminal voltage and current,<\/p>\n

The physical basis for such a current-voltage characteristic rests upon two things:<\/strong><\/p>\n

    \n
  1. The production of a magnetic<\/a> flux by a current, the flux being proportional to the current in linear inductors.<\/li>\n
  2. The production of a voltage by the time-varying magnetic field, the voltage being proportional to the time rate of change of the magnetic field or the magnetic flux.<\/li>\n<\/ol>\n

    Coefficient of Mutual Inductance<\/h2>\n

    Mutual inductance results from a slight extension of this same argument. A current flowing in one coil establishes a magnetic flux about that coil and also about a second coil nearby. The time-varying flux surrounding the second coil produces a voltage across the terminals of the second coil. This voltage is proportional to the time rate of change of the current flowing through the first coil. Figure shows a simple model of two coils L1 and L2, sufficiently close together that the flux produced by a current i1(t) flowing through L1 establishes an open circuit voltage V2(t) across the terminals of L2.<\/p>\n

    \"Mutual<\/p>\n

    The order of the subscripts on M21 indicates that a voltage response is produced at L2 by a current source at L1. If the system is reversed, as indicted in fig. then we have<\/p>\n

    Two coefficients of mutual inductance are not necessary, however we will use energy relationship a little later to prove that M12 and M21 are equal. This M12 = M21 = M.<\/p>\n

    The existence of mutual coupling<\/a> between two coils is indicated by a double-headed arrow, as shown in figure (a) and (b).<\/p>\n

    Note: <\/strong>It is important to know that mutual coupling exist only when the inductors are placed close to each other and input excitation is time varying.<\/p>\n","protected":false},"excerpt":{"rendered":"

    When we defined inductance, we did so by specifying the relationship between the terminal voltage and current, The physical basis<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1351,5],"tags":[1398,1397,1399],"class_list":["post-4677","post","type-post","status-publish","format-standard","hentry","category-lti-systems","category-ee","tag-coefficient-of-mutual-inductance","tag-linear-inductors","tag-magnetic-flux"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/4677","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/comments?post=4677"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/4677\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=4677"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=4677"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=4677"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}