{"id":2671,"date":"2024-08-24T20:03:27","date_gmt":"2024-08-24T20:03:27","guid":{"rendered":"https:\/\/workhouse.sweetdishy.com\/?p=2671"},"modified":"2024-08-24T20:03:27","modified_gmt":"2024-08-24T20:03:27","slug":"average-value-of-sinusoidal-current","status":"publish","type":"post","link":"https:\/\/workhouse.sweetdishy.com\/index.php\/2024\/08\/24\/average-value-of-sinusoidal-current\/","title":{"rendered":"\u00a0AVERAGE VALUE OF SINUSOIDAL CURRENT"},"content":{"rendered":"\n<p id=\"para-089\">The alternating current varying sinusoidally, as shown in Figure 6.9, is given by the equation:<\/p>\n\n\n\n<p id=\"para-090\">&nbsp;<\/p>\n\n\n\n<p><em>i<\/em>&nbsp;=&nbsp;<em>I<\/em><small><sub>m<\/sub><\/small>sin<em>\u03b8<\/em><\/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\/page270_3.png\" alt=\"img\"\/><\/figure>\n\n\n\n<p id=\"para-091\"><strong>Fig. 6.9&nbsp;&nbsp;<\/strong>Current varying sinusoidally<\/p>\n\n\n\n<p id=\"para-092\">Consider an elementary strip of thickness&nbsp;<em>d\u03b8<\/em>&nbsp;in the positive half cycle,&nbsp;<em>i<\/em>&nbsp;be its mid-ordinate. Then,<\/p>\n\n\n\n<p id=\"para-093\">Area of strip =&nbsp;<em>id\u03b8<\/em><\/p>\n\n\n\n<p id=\"para-094\">Area of half cycle<\/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\/page270_4.png\" alt=\"img\"\/><\/figure>\n\n\n\n<p>=&nbsp;<em>I<\/em><small><sub>m<\/sub><\/small>[\u20131(\u20131\u20131)] = 2<em>I<\/em><small><sub>m<\/sub><\/small><\/p>\n\n\n\n<p>Base = 0 to&nbsp;<em>\u03c0<\/em>&nbsp;=&nbsp;<em>\u03c0<\/em>&nbsp;\u2212 0 =&nbsp;<em>\u03c0<\/em><\/p>\n\n\n\n<p id=\"para-095\">\u2234 Average value,<\/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\/page270_5.png\" alt=\"img\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The alternating current varying sinusoidally, as shown in Figure 6.9, is given by the equation: &nbsp; i&nbsp;=&nbsp;Imsin\u03b8 Fig. 6.9&nbsp;&nbsp;Current varying sinusoidally Consider an elementary strip of thickness&nbsp;d\u03b8&nbsp;in the positive half cycle,&nbsp;i&nbsp;be its mid-ordinate. Then, Area of strip =&nbsp;id\u03b8 Area of half cycle =&nbsp;Im[\u20131(\u20131\u20131)] = 2Im Base = 0 to&nbsp;\u03c0&nbsp;=&nbsp;\u03c0&nbsp;\u2212 0 =&nbsp;\u03c0 \u2234 Average value,<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[408],"tags":[],"class_list":["post-2671","post","type-post","status-publish","format-standard","hentry","category-ac-fundamentals"],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/2671","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=2671"}],"version-history":[{"count":1,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/2671\/revisions"}],"predecessor-version":[{"id":2672,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/2671\/revisions\/2672"}],"wp:attachment":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media?parent=2671"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/categories?post=2671"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/tags?post=2671"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}