{"id":3116,"date":"2024-08-26T20:58:27","date_gmt":"2024-08-26T20:58:27","guid":{"rendered":"https:\/\/workhouse.sweetdishy.com\/?p=3116"},"modified":"2024-08-26T20:58:28","modified_gmt":"2024-08-26T20:58:28","slug":"potential-divider","status":"publish","type":"post","link":"https:\/\/workhouse.sweetdishy.com\/index.php\/2024\/08\/26\/potential-divider\/","title":{"rendered":"Potential Divider"},"content":{"rendered":"\n<p id=\"P0300\">The voltage distribution for the circuit shown in\u00a0Figure 3.5(a)\u00a0is 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:9781856175289\/files\/images\/F000032si13.png\" alt=\"image\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9781856175289\/files\/images\/F000032si14.png\" alt=\"image\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9781856175289\/files\/images\/F000032gr5.jpg\" alt=\"image\"\/><\/figure>\n\n\n\n<p><strong>Figure 3.5<\/strong>&nbsp;: Potential divider circuit<\/p>\n\n\n\n<p id=\"P0310\">The circuit shown in\u00a0Figure 3.5(b)\u00a0is often referred to as a\u00a0<em>potential divider<\/em>\u00a0circuit. Such a circuit can consist of a number of similar elements in series connected across a voltage source, voltages being taken from connections between the elements. Frequently the divider consists of two resistors as shown in\u00a0Figure 3.5(b), where:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9781856175289\/files\/images\/F000032si15.png\" alt=\"image\"\/><\/figure>\n\n\n\n<p id=\"P0320\">A potential divider is the simplest way of producing a source of lower e.m.f. from a source of higher e.m.f., and is the basic operating mechanism of the&nbsp;<em>potentiometer<\/em>, a measuring device for accurately measuring potential differences.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\" id=\"S0130tit\">Example 3.4<\/h5>\n\n\n\n<p id=\"P0330\">Determine the value of voltage\u00a0<em>V<\/em>\u00a0shown in\u00a0Figure 3.6.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9781856175289\/files\/images\/F000032gr6.jpg\" alt=\"image\"\/><\/figure>\n\n\n\n<p><strong>Figure 3.6<\/strong>\u00a0: Circuit for\u00a0Example 3.4<\/p>\n\n\n\n<h5 class=\"wp-block-heading\" id=\"S0140tit\">Solution<\/h5>\n\n\n\n<p id=\"P0340\"><a href=\"https:\/\/learning.oreilly.com\/library\/view\/electrical-engineering-know\/9781856175289\/xhtml\/CHP003.html#F0060\">Figure 3.6<\/a>\u00a0may be redrawn as shown in\u00a0Figure 3.7, and voltage<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9781856175289\/files\/images\/F000032si16.png\" alt=\"image\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9781856175289\/files\/images\/F000032gr7.jpg\" alt=\"image\"\/><\/figure>\n\n\n\n<p><strong>Figure 3.7<\/strong>\u00a0: Redrawn version of\u00a0Figure 3.6<\/p>\n\n\n\n<h5 class=\"wp-block-heading\" id=\"S0150tit\">Example 3.5<\/h5>\n\n\n\n<p id=\"P0350\">Two resistors are connected in series across a 24&nbsp;V supply and a current of 3&nbsp;A flows in the circuit. If one of the resistors has a resistance of 2 \u03a9 determine (a) the value of the other resistor, and (b) the voltage across the 2 \u03a9 resistor. If the circuit is connected for 50 hours, how much energy is used?<a><\/a><\/p>\n\n\n\n<h5 class=\"wp-block-heading\" id=\"S0160tit\">Solution<\/h5>\n\n\n\n<p id=\"P0360\">The circuit diagram is shown in\u00a0Figure 3.8.<\/p>\n\n\n\n<p id=\"O0060\">(a)&nbsp;<a><\/a>Total circuit resistance&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9781856175289\/files\/images\/F000032si17.png\" alt=\"image\" width=\"125\" height=\"39\"><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9781856175289\/files\/images\/F000032gr8.jpg\" alt=\"image\"\/><\/figure>\n\n\n\n<p><strong>Figure 3.8<\/strong>\u00a0: Circuit for\u00a0Example 3.5<\/p>\n\n\n\n<p id=\"P0380\">Value of unknown resistance,&nbsp;<em>R<sub>x<\/sub><\/em>&nbsp;= 8-2=<strong>6<\/strong>\u03a9<\/p>\n\n\n\n<p id=\"O0070\">(b)&nbsp;<a><\/a>Voltage across 2 \u03a9 resistor,&nbsp;<em>V<\/em><sub>1<\/sub>&nbsp;=<em>IR<\/em><sub>1<\/sub>&nbsp;= 3\u00d72=<strong>6<\/strong>&nbsp;<strong>V<\/strong><\/p>\n\n\n\n<p id=\"P0400\">Alternatively, from above,<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9781856175289\/files\/images\/F000032si18.png\" alt=\"image\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9781856175289\/files\/images\/F000032si19.png\" alt=\"image\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The voltage distribution for the circuit shown in\u00a0Figure 3.5(a)\u00a0is given by: Figure 3.5&nbsp;: Potential divider circuit The circuit shown in\u00a0Figure 3.5(b)\u00a0is often referred to as a\u00a0potential divider\u00a0circuit. Such a circuit can consist of a number of similar elements in series connected across a voltage source, voltages being taken from connections between the elements. Frequently the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":3117,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[426],"tags":[],"class_list":["post-3116","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-series-and-parallel-networks"],"jetpack_featured_media_url":"https:\/\/workhouse.sweetdishy.com\/wp-content\/uploads\/2024\/08\/images-3-1.png","_links":{"self":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/3116","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=3116"}],"version-history":[{"count":1,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/3116\/revisions"}],"predecessor-version":[{"id":3118,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/3116\/revisions\/3118"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media\/3117"}],"wp:attachment":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media?parent=3116"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/categories?post=3116"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/tags?post=3116"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}