{"id":2675,"date":"2024-08-24T20:08:14","date_gmt":"2024-08-24T20:08:14","guid":{"rendered":"https:\/\/workhouse.sweetdishy.com\/?p=2675"},"modified":"2024-08-24T20:18:44","modified_gmt":"2024-08-24T20:18:44","slug":"rms-value-of-sinusoidal-current","status":"publish","type":"post","link":"https:\/\/workhouse.sweetdishy.com\/index.php\/2024\/08\/24\/rms-value-of-sinusoidal-current\/","title":{"rendered":"RMS VALUE OF SINUSOIDAL CURRENT"},"content":{"rendered":"\n

An alternating current varying sinusoidally is given by the following equation:<\/p>\n\n\n\n

 <\/p>\n\n\n\n

i<\/em> = I<\/em>m<\/sub> sin \u03b8<\/em><\/p>\n\n\n\n

To determine the rms value, the squared wave of the alternating current is drawn as shown in Figure 6.11.<\/p>\n\n\n\n

\"img\"\/<\/figure>\n\n\n\n

Fig. 6.11  <\/strong>Squared-wave shape of a sine wave<\/p>\n\n\n\n

Considering an elementary strip of thickness d\u03b8<\/em> in the first half-cycle of the squared wave, let i2<\/sup> be its mid-ordinate.<\/p>\n\n\n\n

Then,<\/p>\n\n\n\n

 <\/p>\n\n\n\n

Area of strip = i<\/em>2<\/sup>d\u03b8<\/em><\/p>\n\n\n\n

Area of first half cycle of squared wave<\/p>\n\n\n\n

\"img\"\/<\/figure>\n\n\n\n

Base = 0 to \u03c0<\/em> = \u03c0<\/em> \u2212 0 = \u03c0<\/em><\/p>\n\n\n\n

Effective or rms value,<\/p>\n\n\n\n

\"img\"\/<\/figure>\n\n\n\n

Usually, rms value of an AC is simply represented by I<\/em> instead of I<\/em>rms<\/sub>. Similarly, rms value of an alternating voltage is represented by E<\/em> or V<\/em>.<\/p>\n","protected":false},"excerpt":{"rendered":"

An alternating current varying sinusoidally is given by the following equation:   i = Im sin \u03b8 To determine the rms value, the squared wave of the alternating current is drawn as shown in Figure 6.11. Fig. 6.11  Squared-wave shape of a sine wave Considering an elementary strip of thickness d\u03b8 in the first half-cycle of the squared wave, let i2 be […]<\/p>\n","protected":false},"author":1,"featured_media":2480,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[408],"tags":[],"class_list":["post-2675","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ac-fundamentals"],"jetpack_featured_media_url":"https:\/\/workhouse.sweetdishy.com\/wp-content\/uploads\/2024\/08\/air-conditioner-1.png","_links":{"self":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/2675","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=2675"}],"version-history":[{"count":1,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/2675\/revisions"}],"predecessor-version":[{"id":2676,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/2675\/revisions\/2676"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media\/2480"}],"wp:attachment":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media?parent=2675"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/categories?post=2675"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/tags?post=2675"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}