{"id":19843,"date":"2022-06-10T18:47:07","date_gmt":"2022-06-10T18:47:07","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=4218"},"modified":"2022-06-10T18:47:07","modified_gmt":"2022-06-10T18:47:07","slug":"power-of-i","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/06\/10\/power-of-i\/","title":{"rendered":"Power of i"},"content":{"rendered":"\n<p>The alphabet i is referred to as the iota and is helpful to represent the imaginary part of the complex number. Further the iota(i) is very helpful to find the\u00a0square root\u00a0of negative numbers. We have the value of i<sup>2<\/sup>\u00a0= -1, and this is used to find the value of \u221a-4 = \u221ai<sup>2<\/sup>4 =\u00a0+2i\u00a0 The value of i<sup>2<\/sup>\u00a0= -1 is the fundamental aspect of a complex number. Let us try and understand more about the increasing powers of i.<\/p>\n\n\n\n<ul><li>i = \u221a-1<\/li><li>i<sup>2<\/sup>&nbsp;= -1<\/li><li>i<sup>3&nbsp;<\/sup>&nbsp;= i.i<sup>2<\/sup>&nbsp;= i(-1) = -i<\/li><li>i<sup>4<\/sup>&nbsp;= (i<sup>2<\/sup>)<sup>2<\/sup>&nbsp;= (-1)<sup>2<\/sup>&nbsp;= 1<\/li><li>i<sup>4n<\/sup>&nbsp;= 1<\/li><li>i<sup>4n + 1<\/sup>&nbsp;= i<\/li><li>i<sup>4n + 2<\/sup>&nbsp;= -1<\/li><li>i<sup>4n + 3<\/sup>&nbsp;= -i<\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>The alphabet i is referred to as the iota and is helpful to represent the imaginary part of the complex number. Further the iota(i) is very helpful to find the\u00a0square root\u00a0of negative numbers. We have the value of i2\u00a0= -1, and this is used to find the value of \u221a-4 = \u221ai24 =\u00a0+2i\u00a0 The value [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[653],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/19843"}],"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=19843"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/19843\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=19843"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=19843"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=19843"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}