{"id":2588,"date":"2024-08-24T12:05:29","date_gmt":"2024-08-24T12:05:29","guid":{"rendered":"https:\/\/workhouse.sweetdishy.com\/?p=2588"},"modified":"2024-08-24T12:05:29","modified_gmt":"2024-08-24T12:05:29","slug":"electric-flux-through-an-area","status":"publish","type":"post","link":"https:\/\/workhouse.sweetdishy.com\/index.php\/2024\/08\/24\/electric-flux-through-an-area\/","title":{"rendered":"\u00a0ELECTRIC FLUX THROUGH AN AREA"},"content":{"rendered":"\n<p id=\"para-170\">Electric flux through an area is defined as the number of electric lines of force passing perpendicularly through that area. It is a scalar quantity and is denoted by&nbsp;<em>\u03a8<\/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\/page140_2.png\" alt=\"img\"\/><\/figure>\n\n\n\n<p id=\"para-171\"><strong>Fig. 3.12&nbsp;&nbsp;<\/strong>Electric flux through an area<\/p>\n\n\n\n<p id=\"para-172\">Consider an area&nbsp;<em>S<\/em>&nbsp;placed in an electric field&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332558311\/files\/images\/pagee.png\" alt=\"img\" width=\"26\" height=\"20\">&nbsp;and&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332558311\/files\/images\/pageds.png\" alt=\"img\" width=\"24\" height=\"21\">&nbsp;is a small area vector element, then small flux (&nbsp;<em>d<\/em>&nbsp;<em>\u03a8<\/em>&nbsp;) passing through small area (&nbsp;<em>dS<\/em>) is given by<\/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\/page140_4.png\" alt=\"img\"\/><\/figure>\n\n\n\n<p id=\"para-173\">where&nbsp;<em>\u03b8<\/em>&nbsp;is angle between&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332558311\/files\/images\/pagee.png\" alt=\"img\" width=\"26\" height=\"20\">&nbsp;and&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332558311\/files\/images\/pageds.png\" alt=\"img\" width=\"24\" height=\"21\"><\/p>\n\n\n\n<p id=\"para-174\">When&nbsp;<em>\u03b8<\/em>&nbsp;= 0\u00b0, that is,&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332558311\/files\/images\/pagee.png\" alt=\"img\" width=\"26\" height=\"20\">&nbsp;||&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332558311\/files\/images\/pageds.png\" alt=\"img\" width=\"24\" height=\"21\">, flux will be maximum and<\/p>\n\n\n\n<p id=\"para-175\">when&nbsp;<em>\u03b8<\/em>&nbsp;= 90\u00b0, that is,&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332558311\/files\/images\/pagee.png\" alt=\"img\" width=\"26\" height=\"20\">&nbsp;\u22a5&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332558311\/files\/images\/pageds.png\" alt=\"img\" width=\"24\" height=\"21\">, then the flux will be zero.<\/p>\n\n\n\n<p id=\"para-176\">To find total flux through the whole closed surface\u00a0<em>S<\/em>, we integrate\u00a0<a href=\"https:\/\/learning.oreilly.com\/library\/view\/basic-electrical-engineering\/9789332558311\/xhtml\/Chapter003.xhtml#img-051\">Equations <\/a>(3.8)\u00a0or\u00a0(3.9)\u00a0as<\/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\/page140_3.png\" alt=\"img\"\/><\/figure>\n\n\n\n<p id=\"para-177\">The SI unit of electric flux is Nm<sup>2<\/sup>C<sup>\u22121<\/sup>&nbsp;or JmC<sup>\u22121<\/sup>. Electric flux is a scalar quantity as it is dot product of two vector quantities&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332558311\/files\/images\/pagee.png\" alt=\"img\" width=\"26\" height=\"20\">&nbsp;and&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332558311\/files\/images\/pageds.png\" alt=\"img\" width=\"24\" height=\"21\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Electric flux through an area is defined as the number of electric lines of force passing perpendicularly through that area. It is a scalar quantity and is denoted by&nbsp;\u03a8. Fig. 3.12&nbsp;&nbsp;Electric flux through an area Consider an area&nbsp;S&nbsp;placed in an electric field&nbsp;&nbsp;and&nbsp;&nbsp;is a small area vector element, then small flux (&nbsp;d&nbsp;\u03a8&nbsp;) passing through small area [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2589,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[405],"tags":[],"class_list":["post-2588","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-electrostatics-and-capacitors"],"jetpack_featured_media_url":"https:\/\/workhouse.sweetdishy.com\/wp-content\/uploads\/2024\/08\/images-4.png","_links":{"self":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/2588","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=2588"}],"version-history":[{"count":1,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/2588\/revisions"}],"predecessor-version":[{"id":2590,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/2588\/revisions\/2590"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media\/2589"}],"wp:attachment":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media?parent=2588"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/categories?post=2588"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/tags?post=2588"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}