{"id":2743,"date":"2024-08-25T11:11:48","date_gmt":"2024-08-25T11:11:48","guid":{"rendered":"https:\/\/workhouse.sweetdishy.com\/?p=2743"},"modified":"2024-08-25T11:11:49","modified_gmt":"2024-08-25T11:11:49","slug":"impedance-triangle","status":"publish","type":"post","link":"https:\/\/workhouse.sweetdishy.com\/index.php\/2024\/08\/25\/impedance-triangle\/","title":{"rendered":"\u00a0IMPEDANCE TRIANGLE"},"content":{"rendered":"\n<p id=\"para-132\">The simplified phasor diagram of R\u2013L series circuit is shown in\u00a0Figure 7.10. When each side of this phasor diagram is divided by a common factor\u00a0<em>I<\/em>, we get another right\u2212angled triangle, as shown in\u00a0Figure 7.11, whose sides represent\u00a0<em>R<\/em>,\u00a0<em>X<\/em><sub>L<\/sub>, and\u00a0<em>Z<\/em>. Such a triangle is known as impedance triangle.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332558311\/files\/images\/page306_3.png\" alt=\"image\"\/><\/figure>\n\n\n\n<p id=\"para-133\"><strong>Fig. 7.10<\/strong>&nbsp;&nbsp;Phasor diagram for R\u2212L series circuit<\/p>\n\n\n\n<p id=\"para-134\">Therefore, a right\u2212angled triangle whose base represents circuit resistance, perpendicular represents circuit reactance, and hypotenuse represents circuit impedance is called an impedance triangle. The concept of impedance triangle is useful since it enables us to calculate:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332558311\/files\/images\/page307_1.png\" alt=\"image\"\/><\/figure>\n\n\n\n<p id=\"para-135\"><strong>Fig. 7.11<\/strong>&nbsp;&nbsp;Impedance triangle<\/p>\n\n\n\n<ol class=\"wp-block-list\" id=\"ol-006\">\n<li>the impedance of the circuit,&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332558311\/files\/images\/page306_4.png\" alt=\"image\" width=\"119\" height=\"26\"><\/li>\n\n\n\n<li><a><\/a>the power factor of the circuit,&nbsp;cos&nbsp;<em>\u0278<\/em>&nbsp;=&nbsp;<em>R<\/em>\/<em>Z<\/em>&nbsp;<\/li>\n\n\n\n<li>phase angle,&nbsp;<em>\u0278<\/em>&nbsp;= tan<sup>\u2212<\/sup><sup>1<\/sup>&nbsp;<em>X<\/em><sub>L<\/sub>\/<em>R<\/em><\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>The simplified phasor diagram of R\u2013L series circuit is shown in\u00a0Figure 7.10. When each side of this phasor diagram is divided by a common factor\u00a0I, we get another right\u2212angled triangle, as shown in\u00a0Figure 7.11, whose sides represent\u00a0R,\u00a0XL, and\u00a0Z. Such a triangle is known as impedance triangle. Fig. 7.10&nbsp;&nbsp;Phasor diagram for R\u2212L series circuit Therefore, a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2481,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[410],"tags":[],"class_list":["post-2743","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-single-phase-ac-circuits"],"jetpack_featured_media_url":"https:\/\/workhouse.sweetdishy.com\/wp-content\/uploads\/2024\/08\/singlephase-network-energy-meter-connection-260nw-2444369485.jpg","_links":{"self":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/2743","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/comments?post=2743"}],"version-history":[{"count":1,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/2743\/revisions"}],"predecessor-version":[{"id":2744,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/2743\/revisions\/2744"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media\/2481"}],"wp:attachment":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media?parent=2743"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/categories?post=2743"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/tags?post=2743"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}