{"id":4433,"date":"2019-11-27T06:17:42","date_gmt":"2019-11-27T11:17:42","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=4433"},"modified":"2026-04-05T05:35:48","modified_gmt":"2026-04-05T10:35:48","slug":"1eva2019tii_t3-circuito-electrico","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-1eva20\/1eva2019tii_t3-circuito-electrico\/","title":{"rendered":"1Eva2019TII_T3 Circuito el\u00e9ctrico"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">1ra Evaluaci\u00f3n II T\u00e9rmino 2019-2020. 26\/Noviembre\/2019. MATG1013<\/h2>\n\n\n\n<figure class=\"wp-block-image alignright size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"254\" height=\"197\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2017\/12\/circuitoElectrico01.png\" alt=\"circuito El\u00e9ctrico con fuente de voltaje y corriente\" class=\"wp-image-14142\" \/><\/figure>\n\n\n\n<p><strong>Tema 3<\/strong>. (30 puntos) El sistema de ecuaciones que sigue se gener\u00f3 por medio de aplicar la ley de malla de corriente al circuito de la figura. <\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> \\begin{cases} 55 I_1 - 25 I_4 = -200 \\\\ -37 I_3 - 4 I_4 = -250 \\\\ -25 I_1 - 4 I_3 + 29 I_4 = 100 \\end{cases} <\/span>\n\n\n\n<p>a) Use el m\u00e9todo de eliminaci\u00f3n de Gauss para calcular I<sub>1<\/sub>, I<sub>3<\/sub>, I<sub>4<\/sub>, I<sub>1<\/sub> observando que<br>I<sub>2<\/sub> = -10<\/p>\n\n\n\n<p>b) Encuentre la norma infinita de la matriz de transici\u00f3n T en el m\u00e9todo de Jacobi y comente.<\/p>\n\n\n\n<p>c) Con el m\u00e9todo de Gauss-Seidel realice tres iteraciones comenzando con el vector cero. Adem\u00e1s en la tercera iteraci\u00f3n, encuentre una cota para el error relativo.<\/p>\n\n\n\n<p><em><strong>R\u00fabrica<\/strong><\/em>: literal a (12 puntos), literal b (6 puntos), literal c (12 puntos)<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<pre class=\"wp-block-code\"><code>A = &#091;&#091; 55.0, 0,  0, -25],\n     &#091;  0  , 0,-37,  -4],\n     &#091;-25  , 0, -4,  29],\n     &#091;  0  ,  1, 0,   0]]\n\nB = &#091;-200,-250,100,-10]<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>1ra Evaluaci\u00f3n II T\u00e9rmino 2019-2020. 26\/Noviembre\/2019. MATG1013 Tema 3. (30 puntos) El sistema de ecuaciones que sigue se gener\u00f3 por medio de aplicar la ley de malla de corriente al circuito de la figura. a) Use el m\u00e9todo de eliminaci\u00f3n de Gauss para calcular I1, I3, I4, I1 observando queI2 = -10 b) Encuentre la [&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":[11],"tags":[62],"class_list":["post-4433","post","type-post","status-publish","format-standard","hentry","category-mn-1eva20","tag-matriciales-iterativos"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/4433","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=4433"}],"version-history":[{"count":4,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/4433\/revisions"}],"predecessor-version":[{"id":21800,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/4433\/revisions\/21800"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=4433"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=4433"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=4433"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}