{"id":2529,"date":"2024-08-24T08:18:50","date_gmt":"2024-08-24T08:18:50","guid":{"rendered":"https:\/\/workhouse.sweetdishy.com\/?p=2529"},"modified":"2024-08-24T08:18:50","modified_gmt":"2024-08-24T08:18:50","slug":"limitations-of-ohms-law","status":"publish","type":"post","link":"https:\/\/workhouse.sweetdishy.com\/index.php\/2024\/08\/24\/limitations-of-ohms-law\/","title":{"rendered":"Limitations of Ohm\u2019s Law"},"content":{"rendered":"\n<p id=\"para-091\">Ohm\u2019s law cannot be applied to the non-linear clients such as circuits containing electronic tubes or transistors and the circuits used to produce electric arc.<\/p>\n\n\n\n<p id=\"para-092\"><strong>Example 1.1<\/strong><\/p>\n\n\n\n<p id=\"para-093\">The specific resistance of platinum at 0\u00b0C is 10.5<em>&nbsp;<\/em>microohm cm. What should be the length of platinum wire of No. 32 S.W.G. (diameter = 0.0274<em>&nbsp;<\/em>cm) to have a resistance of 4<em>&nbsp;<\/em>ohms at 0\u00b0C?<\/p>\n\n\n\n<p id=\"para-094\"><em>Solution:<\/em><\/p>\n\n\n\n<p id=\"para-095\">Resistance of a wire at 0\u00b0C is calculated as follows:<\/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\/page10_1.png\" alt=\"img\"\/><\/figure>\n\n\n\n<p id=\"para-096\">where&nbsp;<em>R<\/em><sub>0<\/sub>&nbsp;= 4 \u03a9;&nbsp;<em>\u03c1<\/em><sub>0<\/sub>&nbsp;= 10.5\u00d710<sup>\u22126<\/sup>&nbsp;\u03a9 cm = 10.5\u00d710<sup>\u22128&nbsp;<\/sup>\u03a9 m<\/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\/page10_2.png\" alt=\"img\"\/><\/figure>\n\n\n\n<p id=\"para-097\">\u2234<\/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\/page10_3.png\" alt=\"img\"\/><\/figure>\n\n\n\n<p id=\"para-098\"><strong>Example 1.2<\/strong><\/p>\n\n\n\n<p id=\"para-099\">A current of 0.75<em>&nbsp;<\/em>A is passed through a coil of nichrome wire which has a cross sectional area of 0.01<em>&nbsp;<\/em>cm<sup>2<\/sup>. If the resistivity of the nichrome is 108\u00d710<sup>\u22126<\/sup><em>&nbsp;<\/em>ohm cm and the potential difference across the ends of the coil is 81<em>&nbsp;<\/em>V. What is the length of the wire? What is the conductivity and conductance of the wire?<\/p>\n\n\n\n<p id=\"para-100\"><em>Solution:<\/em><\/p>\n\n\n\n<p id=\"para-101\">Resistance,<\/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\/page10_4.png\" alt=\"img\"\/><\/figure>\n\n\n\n<p id=\"para-102\">Where<\/p>\n\n\n\n<p id=\"para-103\">&nbsp;<\/p>\n\n\n\n<p><em>\u03c1<\/em>&nbsp;= 108 \u00d7 10<sup>\u22126<\/sup>&nbsp;\u03a9 cm = 108 \u00d7 10<sup>\u22128<\/sup>&nbsp;\u03a9 cm<\/p>\n\n\n\n<p id=\"para-104\">\u2234<\/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\/page10_5.png\" alt=\"img\"\/><\/figure>\n\n\n\n<p id=\"para-105\">Conductivity,<\/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\/page10_6.png\" alt=\"img\"\/><\/figure>\n\n\n\n<p id=\"para-106\">Conductance,<\/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\/page10_7.png\" alt=\"img\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Ohm\u2019s law cannot be applied to the non-linear clients such as circuits containing electronic tubes or transistors and the circuits used to produce electric arc. Example 1.1 The specific resistance of platinum at 0\u00b0C is 10.5&nbsp;microohm cm. What should be the length of platinum wire of No. 32 S.W.G. (diameter = 0.0274&nbsp;cm) to have a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2504,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[403],"tags":[],"class_list":["post-2529","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-concepts-of-circuit-theory"],"jetpack_featured_media_url":"https:\/\/workhouse.sweetdishy.com\/wp-content\/uploads\/2024\/08\/lightning.png","_links":{"self":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/2529","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=2529"}],"version-history":[{"count":1,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/2529\/revisions"}],"predecessor-version":[{"id":2530,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/2529\/revisions\/2530"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media\/2504"}],"wp:attachment":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media?parent=2529"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/categories?post=2529"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/tags?post=2529"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}