{"id":713,"date":"2017-12-09T07:44:06","date_gmt":"2017-12-09T12:44:06","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=713"},"modified":"2026-01-14T10:58:41","modified_gmt":"2026-01-14T15:58:41","slug":"2eva2009ti_t3_an-edo-circuito-rlc","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-2eva10\/2eva2009ti_t3_an-edo-circuito-rlc\/","title":{"rendered":"2Eva2009TI_T3_AN EDO Circuito RLC"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">2da Evaluaci\u00f3n I T\u00e9rmino 2009-2010. 1\/Septiembre\/2009. An\u00e1lisis Num\u00e9rico<\/h2>\n\n\n\n<p><strong>Tema 3<\/strong>. (20 puntos)<\/p>\n\n\n\n<figure class=\"wp-block-image alignright size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"315\" height=\"157\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2017\/03\/FIEC05058_RLC_solo.png\" alt=\"FIEC05058 RLC solo\" class=\"wp-image-19512\" \/><\/figure>\n\n\n\n<p>Determine la corriente I(t) de un circuito \"LRC\" en serie, cuando L=0.005 Henrios, R = 2 Ohm y C=0.02 Faradios, donde E(t) se regula en el tiempo y es igual a:<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> E(t)=1000\\frac{[[t+1]]}{\\sin ^2 (t) +2} <\/span>\n\n\n\n<p>En el instante inicial la corriente I(0) es cero y la ecuaci\u00f3n del circuito puede aproximarse por:<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> L\\frac{\\delta I}{\\delta t} +RI + \\frac{1}{C} \\int_0^t e^{-t^2} \\delta t = E(t) <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> I(0) = 0 <\/span>\n\n\n\n<p>Determine la corriente en los instantes \u03c0\/4 y \u03c0\/2 utilizando el m\u00e9todo de Runge-Kutta de cuarto orden para resolver la ecuaci\u00f3n diferencial y Simpson con una par\u00e1bola para determinar las integrales que se generen.<\/p>\n\n\n\n<p><strong>R\u00fabrica<\/strong>: Aproximaci\u00f3n de I(t) en t = \u03c0\/4 (10 puntos), aproximaci\u00f3n de I(t) en t = \u03c0\/2 (10 puntos)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>2da Evaluaci\u00f3n I T\u00e9rmino 2009-2010. 1\/Septiembre\/2009. An\u00e1lisis Num\u00e9rico Tema 3. (20 puntos) Determine la corriente I(t) de un circuito \"LRC\" en serie, cuando L=0.005 Henrios, R = 2 Ohm y C=0.02 Faradios, donde E(t) se regula en el tiempo y es igual a: En el instante inicial la corriente I(0) es cero y la ecuaci\u00f3n [&hellip;]<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-mn","format":"standard","meta":{"footnotes":""},"categories":[17],"tags":[56],"class_list":["post-713","post","type-post","status-publish","format-standard","hentry","category-mn-2eva10","tag-edo"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/713","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/users\/8043"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/comments?post=713"}],"version-history":[{"count":5,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/713\/revisions"}],"predecessor-version":[{"id":21020,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/713\/revisions\/21020"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=713"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=713"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=713"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}