{"id":3053,"date":"2022-05-06T19:42:23","date_gmt":"2022-05-06T19:42:23","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=3053"},"modified":"2022-05-06T19:42:23","modified_gmt":"2022-05-06T19:42:23","slug":"induced-voltage-formula","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/05\/06\/induced-voltage-formula\/","title":{"rendered":"Induced Voltage Formula"},"content":{"rendered":"\n<p><strong>The induced voltage<\/strong>&nbsp;is produced as a product of electromagnetic induction. Electromagnetic induction is the procedure of producing&nbsp;<strong>emf&nbsp;<\/strong>(induced voltage) by exposing a conductor into a magnetic field. The induced voltage is described by making use of Faraday\u2019s law of induction. The induced voltage of a closed-circuit is described as the rate of change of magnetic flux through that closed circuit.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Formula of Induced Voltage<\/h2>\n\n\n\n<p>The induced voltage formula is articulated as,<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\dpi{120}&space;\\large&space;\\varepsilon&space;=-N\\frac{d\\Phi_{B}&space;}{dt}\" alt=\"Induced voltage formula\" title=\"Induced voltage formula\"\/><\/figure>\n\n\n\n<p>Where,<\/p>\n\n\n\n<ul><li>\u03b5 is the induced voltage<\/li><li><em>N is the t<\/em>otal number of turns of the loop<\/li><\/ul>\n\n\n\n<p>\u03a6B<strong>&nbsp;= B.A&nbsp;<\/strong>(Magnetic flux)<\/p>\n\n\n\n<ul><li>B is the magnetic field<\/li><li>A is the area of the loop<\/li><li><em>t<\/em>&nbsp;is the time<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Induced Voltage Solved Example<\/h3>\n\n\n\n<p>The solved question of induced voltage is given below:<\/p>\n\n\n\n<p><strong>Problem&nbsp;1:&nbsp;Consider a rectangular coil of 5 turns with a side length of 0.5 m. This coil reaches the magnetic field 0.3T within 10s. Compute the induced voltage?<\/strong><\/p>\n\n\n\n<p><strong>Answer:<\/strong><\/p>\n\n\n\n<p>Known values are,<br>N = 5<\/p>\n\n\n\n<p>l = 0.5 m<\/p>\n\n\n\n<p>B = 0.3T<\/p>\n\n\n\n<p>dt = 10s<\/p>\n\n\n\n<p>The formula for induced voltage is articulated as,<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\dpi{120}&space;\\large&space;\\varepsilon&space;=-N\\frac{d\\Phi_{B}&space;}{dt}\" alt=\"Induced voltage formula\" title=\"Induced voltage formula\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\dpi{120}&space;\\large&space;\\Phi&space;_{B}=B.A=0.3\\times0.5^{2}\" alt=\"Induced voltage related solved examples\" title=\"Induced voltage related solved examples\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\dpi{120}&space;\\large&space;=0.3\\times0.25=0.075Tm^{2}\" alt=\"Induced voltage related solved examples\" title=\"Induced voltage related solved examples\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\dpi{120}&space;\\large&space;So,\\varepsilon&space;=-5\\times\\frac{0.075}{10}=-0.0375V\" alt=\"Induced voltage related solved examples\" title=\"Induced voltage related solved examples\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The induced voltage&nbsp;is produced as a product of electromagnetic induction. Electromagnetic induction is the procedure of producing&nbsp;emf&nbsp;(induced voltage) by exposing a conductor into a magnetic field. The induced voltage is described by making use of Faraday\u2019s law of induction. The induced voltage of a closed-circuit is described as the rate of change of magnetic flux [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[711],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/3053"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=3053"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/3053\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=3053"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=3053"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=3053"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}