{"id":449,"date":"2026-03-30T00:28:36","date_gmt":"2026-03-30T00:28:36","guid":{"rendered":"https:\/\/cnc-mastery.com\/curso\/?p=449"},"modified":"2026-04-30T20:27:10","modified_gmt":"2026-04-30T20:27:10","slug":"leccion-8-circuitos-en-serie","status":"publish","type":"post","link":"https:\/\/cnc-mastery.com\/curso\/leccion-8-circuitos-en-serie\/","title":{"rendered":"Lecci\u00f3n 8: Circuitos en serie"},"content":{"rendered":"\n<h4 class=\"wp-block-heading\">\ud83d\udd37 circuitos en Serie<\/h4>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Aprende Circuitos en Serie en 7 Minutos \u26a1 (F\u00c1CIL y PR\u00c1CTICO)\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/w4sZfr3pcjY?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Objetivos:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Modelar circuitos en serie<\/li>\n\n\n\n<li>Comprender distribuci\u00f3n de voltaje<\/li>\n\n\n\n<li>Analizar fallas el\u00e9ctricas<\/li>\n\n\n\n<li>Dise\u00f1ar divisores de voltaje<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">La raz\u00f3n es simple: una enorme cantidad de problemas reales se reducen a una malla \u00fanica (o a varias mallas que, por etapas, se simplifican a equivalentes en serie). Un circuito en serie se reconoce porque la corriente tiene&nbsp;<strong>un solo camino<\/strong>; por lo tanto, la&nbsp;<strong>misma corriente<\/strong>&nbsp;atraviesa cada elemento del lazo. Esa idea, que parece trivial, es en realidad una herramienta de diagn\u00f3stico y dise\u00f1o: te permite decidir cu\u00e1ndo dos componentes est\u00e1n realmente en serie y, a partir de ah\u00ed, construir el resto del c\u00e1lculo de forma mec\u00e1nica y confiable.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Vamos a trabajar con un modelo claro y verificable: una fuente de voltaje (Vf) y varias resistencias (R_1\u2026R_n). Primero aprender\u00e1s a obtener la resistencia equivalente (R_eq) (en serie, se suma) y a calcular la corriente total con la Ley de Ohm. Despu\u00e9s, usando el hecho de que la corriente es com\u00fan, obtendr\u00e1s las ca\u00eddas de voltaje en cada resistencia y cerrar\u00e1s el problema con una verificaci\u00f3n obligatoria:&nbsp;<strong>Kirchhoff de voltaje<\/strong>&nbsp;debe cumplirse (la suma de ca\u00eddas coincide con el voltaje de la fuente). Esta verificaci\u00f3n no es \u201cteor\u00eda bonita\u201d; es el cintur\u00f3n de seguridad del an\u00e1lisis: si no cierra, hay un error en planteamiento, aritm\u00e9tica o unidades.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pero aqu\u00ed no nos quedamos en el circuito ideal. En cuanto el circuito toca el mundo real aparecen tres preguntas inevitables: (1)&nbsp;<strong>\u00bfse va a calentar algo?<\/strong>&nbsp;(potencia disipada en cada resistor), (2)&nbsp;<strong>\u00bfqu\u00e9 tan exacto es mi resultado?<\/strong>&nbsp;(tolerancias y temperatura), y (3)&nbsp;<strong>\u00bfc\u00f3mo lo mido sin romper nada?<\/strong>&nbsp;(mult\u00edmetro, conexiones correctas y riesgos t\u00edpicos). Estas tres preguntas son las que convierten un ejercicio acad\u00e9mico en una habilidad t\u00e9cnica \u00fatil. Al final tendr\u00e1s ejercicios resueltos, pr\u00e1ctica guiada y una simulaci\u00f3n para variar par\u00e1metros, observar tendencias y entrenar intuici\u00f3n.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Concepto clave:<\/strong><br>\ud83d\udc49 La corriente es la misma en todo el circuito<br><strong>I = constante<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>F\u00f3rmula:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Req = R1 + R2 + &#8230; + Rn<\/li>\n\n\n\n<li>Vx = Vf \u00b7 (Rx \/ Req)<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"622\" src=\"https:\/\/cnc-mastery.com\/curso\/wp-content\/uploads\/2026\/03\/circuito_serie-1-1024x622.png\" alt=\"\" class=\"wp-image-459\" srcset=\"https:\/\/cnc-mastery.com\/curso\/wp-content\/uploads\/2026\/03\/circuito_serie-1-1024x622.png 1024w, https:\/\/cnc-mastery.com\/curso\/wp-content\/uploads\/2026\/03\/circuito_serie-1-300x182.png 300w, https:\/\/cnc-mastery.com\/curso\/wp-content\/uploads\/2026\/03\/circuito_serie-1-768x467.png 768w, https:\/\/cnc-mastery.com\/curso\/wp-content\/uploads\/2026\/03\/circuito_serie-1-1536x934.png 1536w, https:\/\/cnc-mastery.com\/curso\/wp-content\/uploads\/2026\/03\/circuito_serie-1-2048x1245.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">\u26a1 \u00bfC\u00f3mo funciona este Simulador de circuito en serie?<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83e\uddea GU\u00cdA PARA EL ALUMNO \u2014 USO DEL SIMULADOR DE CIRCUITO EN SERIE<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83c\udfaf OBJETIVO<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\">Aprender c\u00f3mo se comportan:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>La <strong>corriente (I)<\/strong><\/li>\n\n\n\n<li>La <strong>resistencia equivalente (Req)<\/strong><\/li>\n\n\n\n<li>La <strong>ca\u00edda de voltaje (V1, V2, V3)<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">cuando modificas los valores del circuito.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udd27 PASO 1 \u2014 Ajusta los valores<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\">Usa los controles deslizantes:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>R1 \u2192 resistencia 1<\/li>\n\n\n\n<li>R2 \u2192 resistencia 2<\/li>\n\n\n\n<li>R3 \u2192 resistencia 3<\/li>\n\n\n\n<li>Vf \u2192 voltaje de la fuente<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udc49 Observa c\u00f3mo cambian los resultados autom\u00e1ticamente.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83e\udde0 PASO 2 \u2014 Observa la corriente<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\">F\u00edjate en este valor:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udc49 <strong>I = corriente del circuito<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2714\ufe0f Regla clave:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>La corriente es <strong>la misma en todo el circuito<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>I<\/mi><mo>=<\/mo><msub><mi>I<\/mi><mn>1<\/mn><\/msub><mo>=<\/mo><msub><mi>I<\/mi><mn>2<\/mn><\/msub><mo>=<\/mo><msub><mi>I<\/mi><mn>3<\/mn><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">I = I_1 = I_2 = I_3<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udccc Experimento:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Aumenta R1 \u2192 la corriente disminuye<\/li>\n\n\n\n<li>Disminuye R total \u2192 la corriente aumenta<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h5 class=\"wp-block-heading\">\u26a1 PASO 3 \u2014 Analiza la resistencia equivalente<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\">Observa:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udc49 <strong>Req = R1 + R2 + R3<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2714\ufe0f Regla:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>En serie, las resistencias <strong>se suman<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udccc Experimento:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Sube cualquier resistencia \u2192 Req aumenta \u2192 I baja<\/li>\n\n\n\n<li>Baja resistencias \u2192 Req disminuye \u2192 I sube<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udd3b PASO 4 \u2014 Analiza la ca\u00edda de voltaje<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\">Mira los valores:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>V1<\/li>\n\n\n\n<li>V2<\/li>\n\n\n\n<li>V3<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u2714\ufe0f Regla clave:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>V<\/mi><mi>x<\/mi><\/msub><mo>=<\/mo><msub><mi>V<\/mi><mi>f<\/mi><\/msub><mo>\u22c5<\/mo><mfrac><msub><mi>R<\/mi><mi>x<\/mi><\/msub><msub><mi>R<\/mi><mrow><mi>e<\/mi><mi>q<\/mi><\/mrow><\/msub><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">V_x = V_f \\cdot \\frac{R_x}{R_{eq}}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udc49 Cada resistencia \u201ctoma\u201d una parte del voltaje<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83e\uddea Experimento importante<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\">Haz esto:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Pon:\n<ul class=\"wp-block-list\">\n<li>R1 = grande (ej. 50\u03a9)<\/li>\n\n\n\n<li>R2 = peque\u00f1a (10\u03a9)<\/li>\n\n\n\n<li>R3 = peque\u00f1a (10\u03a9)<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udc49 Ver\u00e1s que:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>V1 es mayor<\/li>\n\n\n\n<li>V2 y V3 son menores<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udca5 Conclusi\u00f3n:<br>\ud83d\udc49 <strong>La resistencia m\u00e1s grande tiene mayor ca\u00edda de voltaje<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">\u2696\ufe0f PASO 5 \u2014 Verifica la ley de Kirchhoff<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Suma:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><msub><mi>V<\/mi><mn>1<\/mn><\/msub><mo>+<\/mo><msub><mi>V<\/mi><mn>2<\/mn><\/msub><mo>+<\/mo><msub><mi>V<\/mi><mn>3<\/mn><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">V_1 + V_2 + V_3<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Debe ser igual a:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><msub><mi>V<\/mi><mi>f<\/mi><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">V_f<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udccc Si no coincide \u2192 hay error (o est\u00e1s leyendo mal)<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udd2c PR\u00c1CTICAS QUE DEBES HACER<\/h5>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83e\uddea Pr\u00e1ctica 1 \u2014 Control de corriente<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Mant\u00e9n Vf fijo<\/li>\n\n\n\n<li>Aumenta resistencias<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udc49 Observa c\u00f3mo la corriente baja<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83e\uddea Pr\u00e1ctica 2 \u2014 Distribuci\u00f3n de voltaje<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Haz una resistencia mucho mayor que las otras<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udc49 Observa c\u00f3mo \u201cse roba\u201d el voltaje<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83e\uddea Pr\u00e1ctica 3 \u2014 Equilibrio<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Usa resistencias iguales<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udc49 Ver\u00e1s:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><msub><mi>V<\/mi><mn>1<\/mn><\/msub><mo>=<\/mo><msub><mi>V<\/mi><mn>2<\/mn><\/msub><mo>=<\/mo><msub><mi>V<\/mi><mn>3<\/mn><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">V_1 = V_2 = V_3<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\ud83e\uddea Pr\u00e1ctica 4 \u2014 An\u00e1lisis inverso (nivel pro)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Mira los voltajes:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Si V1 &gt; V2 &gt; V3<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udc49 Entonces:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><msub><mi>R<\/mi><mn>1<\/mn><\/msub><mo>&gt;<\/mo><msub><mi>R<\/mi><mn>2<\/mn><\/msub><mo>&gt;<\/mo><msub><mi>R<\/mi><mn>3<\/mn><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">R_1 &gt; R_2 &gt; R_3<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udea8 ERRORES COMUNES (para que no te pase)<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u274c Pensar que la corriente cambia en cada resistencia<\/li>\n\n\n\n<li>\u274c Creer que el voltaje es igual en serie<\/li>\n\n\n\n<li>\u274c No verificar que Vtotal = suma de ca\u00eddas<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83e\udde0 CONCLUSI\u00d3N (mentalidad ingenier\u00eda)<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\">Este simulador te ense\u00f1a 3 verdades clave:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udd3b El voltaje se divide<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udd01 La corriente es constante<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2795 Las resistencias se suman<\/p>\n\n\n\n<iframe loading=\"lazy\"\n  src=\"https:\/\/cnc-mastery.com\/curso\/simuladores\/simulador_circuito_serie.html\"\n  width=\"100%\"\n  height=\"600\"\n  style=\"border:none; border-radius:20px; overflow:hidden;\">\n<\/iframe>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>Funciona mejor si lo trabajas desde tu PC.<\/strong><\/p>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udd01Como se mide la Corrriente en un circuito en serie?<\/h5>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/cnc-mastery.com\/curso\/wp-content\/uploads\/2026\/03\/circuito_serie_amperimetro.png\" alt=\"\" class=\"wp-image-478\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Para medir la corriente en un circuito en serie,&nbsp;<mark>debes usar un&nbsp;<strong>mult\u00edmetro<\/strong>&nbsp;configurado en la funci\u00f3n de&nbsp;<strong>amper\u00edmetro<\/strong>&nbsp;(A)<\/mark>. El paso clave es que la medici\u00f3n se hace&nbsp;<strong>en serie<\/strong>, no en paralelo.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Aqu\u00ed tienes el proceso r\u00e1pido:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Corta la energ\u00eda:<\/strong>&nbsp;Apaga la fuente de alimentaci\u00f3n por seguridad.<\/li>\n\n\n\n<li><strong>Abre el circuito:<\/strong>&nbsp;Desconecta un cable o un componente en cualquier punto del lazo (en serie, la corriente es la misma en todo el recorrido).<\/li>\n\n\n\n<li><strong>Conecta el mult\u00edmetro:<\/strong>&nbsp;Coloca las puntas de prueba de modo que el mult\u00edmetro &#8220;complete&#8221; el camino. La corriente debe entrar por una punta del mult\u00edmetro y salir por la otra.<\/li>\n\n\n\n<li><strong>Configura el dial:<\/strong>&nbsp;Aseg\u00farate de elegir la escala correcta (amperios o miliamperios) y que los cables est\u00e9n en los puertos adecuados (com\u00fan y el de corriente).<\/li>\n\n\n\n<li><strong>Enciende y mide:<\/strong>&nbsp;Vuelve a conectar la energ\u00eda y lee el valor en la pantalla.&nbsp;<\/li>\n<\/ol>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udd01 <strong>Solo hay un camino para la corriente<\/strong><\/h5>\n\n\n\n<p class=\"wp-block-paragraph\">Eso significa:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udc49 La corriente es <strong>exactamente la misma en todo el circuito<\/strong><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>I<\/mi><mo>=<\/mo><msub><mi>I<\/mi><mn>1<\/mn><\/msub><mo>=<\/mo><msub><mi>I<\/mi><mn>2<\/mn><\/msub><mo>=<\/mo><msub><mi>I<\/mi><mn>3<\/mn><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">I = I_1 = I_2 = I_3<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">No hay bifurcaciones, no hay decisiones\u2026 la corriente pasa por todo, s\u00ed o s\u00ed.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udd0b Elementos del circuito<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Fuente: <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>V<\/mi><mi>f<\/mi><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">V_f<\/annotation><\/semantics><\/math><\/li>\n\n\n\n<li>Resistencias: <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>R<\/mi><mn>1<\/mn><\/msub><mo separator=\"true\">,<\/mo><msub><mi>R<\/mi><mn>2<\/mn><\/msub><mo separator=\"true\">,<\/mo><msub><mi>R<\/mi><mn>3<\/mn><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">R_1, R_2, R_3<\/annotation><\/semantics><\/math><\/li>\n\n\n\n<li>Ca\u00eddas de voltaje: <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>V<\/mi><mn>1<\/mn><\/msub><mo separator=\"true\">,<\/mo><msub><mi>V<\/mi><mn>2<\/mn><\/msub><mo separator=\"true\">,<\/mo><msub><mi>V<\/mi><mn>3<\/mn><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">V_1, V_2, V_3<\/annotation><\/semantics><\/math><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83e\udde0 Paso 1: Calcular la resistencia equivalente<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udc49 En serie <strong>todo se suma<\/strong>, sin trucos.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">\u26a1 Paso 2: Calcular la corriente total<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\">Usamos Ley de Ohm:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>I<\/mi><mo>=<\/mo><mfrac><msub><mi>V<\/mi><mi>f<\/mi><\/msub><msub><mi>R<\/mi><mrow><mi>e<\/mi><mi>q<\/mi><\/mrow><\/msub><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">I = \\frac{V_f}{R_{eq}}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udca1 Esta corriente es la misma en todo el circuito.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udd3b Paso 3: Calcular la ca\u00edda de voltaje en cada resistencia<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\">Aqu\u00ed entra el concepto clave que muestra tu imagen:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>V<\/mi><mi>x<\/mi><\/msub><mo>=<\/mo><msub><mi>V<\/mi><mi>f<\/mi><\/msub><mo>\u22c5<\/mo><mfrac><msub><mi>R<\/mi><mi>x<\/mi><\/msub><msub><mi>R<\/mi><mrow><mi>e<\/mi><mi>q<\/mi><\/mrow><\/msub><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">V_x = V_f \\cdot \\frac{R_x}{R_{eq}}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udc49 Esto es el <strong>divisor de voltaje<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Entonces:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>V<\/mi><mn>1<\/mn><\/msub><mo>=<\/mo><msub><mi>V<\/mi><mi>f<\/mi><\/msub><mo>\u22c5<\/mo><mfrac><msub><mi>R<\/mi><mn>1<\/mn><\/msub><msub><mi>R<\/mi><mrow><mi>e<\/mi><mi>q<\/mi><\/mrow><\/msub><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">V_1 = V_f \\cdot \\frac{R_1}{R_{eq}}<\/annotation><\/semantics><\/math><\/li>\n\n\n\n<li><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>V<\/mi><mn>2<\/mn><\/msub><mo>=<\/mo><msub><mi>V<\/mi><mi>f<\/mi><\/msub><mo>\u22c5<\/mo><mfrac><msub><mi>R<\/mi><mn>2<\/mn><\/msub><msub><mi>R<\/mi><mrow><mi>e<\/mi><mi>q<\/mi><\/mrow><\/msub><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">V_2 = V_f \\cdot \\frac{R_2}{R_{eq}}<\/annotation><\/semantics><\/math><\/li>\n\n\n\n<li><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>V<\/mi><mn>3<\/mn><\/msub><mo>=<\/mo><msub><mi>V<\/mi><mi>f<\/mi><\/msub><mo>\u22c5<\/mo><mfrac><msub><mi>R<\/mi><mn>3<\/mn><\/msub><msub><mi>R<\/mi><mrow><mi>e<\/mi><mi>q<\/mi><\/mrow><\/msub><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">V_3 = V_f \\cdot \\frac{R_3}{R_{eq}}<\/annotation><\/semantics><\/math><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">\ud83e\udde9 Interpretaci\u00f3n clave<\/h4>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udfe2 1. La corriente no cambia<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\">Porque no hay caminos alternos.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udd34 2. El voltaje se reparte<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\">Cada resistencia \u201ctoma\u201d una parte del voltaje seg\u00fan su valor.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udc49 Resistencia m\u00e1s grande = mayor ca\u00edda de voltaje<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h5 class=\"wp-block-heading\">\u2696\ufe0f Paso 4: Verificaci\u00f3n (Ley de Kirchhoff)<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\">La&nbsp;<strong>Ley de Kirchhoff de Voltaje (KVL\/LKV)<\/strong>&nbsp;formaliza que la suma algebraica de elevaciones y ca\u00eddas de voltaje en una malla es cero; con convenciones de polaridad y un procedimiento expl\u00edcito para plantear ecuaciones sin perderse.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">La suma de voltajes debe dar el total:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><msub><mi>V<\/mi><mi>f<\/mi><\/msub><mo>=<\/mo><msub><mi>V<\/mi><mn>1<\/mn><\/msub><mo>+<\/mo><msub><mi>V<\/mi><mn>2<\/mn><\/msub><mo>+<\/mo><msub><mi>V<\/mi><mn>3<\/mn><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">V_f = V_1 + V_2 + V_3<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2714\ufe0f Si no se cumple \u2192 hay error en c\u00e1lculos<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udd25 Ejemplo r\u00e1pido (para que lo aterrices)<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\">Sup\u00f3n:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>V<\/mi><mi>f<\/mi><\/msub><mo>=<\/mo><mn>12<\/mn><mi>V<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">V_f = 12V<\/annotation><\/semantics><\/math><\/li>\n\n\n\n<li><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>R<\/mi><mn>1<\/mn><\/msub><mo>=<\/mo><mn>2<\/mn><mi mathvariant=\"normal\">\u03a9<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">R_1 = 2\u03a9<\/annotation><\/semantics><\/math><\/li>\n\n\n\n<li><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>R<\/mi><mn>2<\/mn><\/msub><mo>=<\/mo><mn>4<\/mn><mi mathvariant=\"normal\">\u03a9<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">R_2 = 4\u03a9<\/annotation><\/semantics><\/math><\/li>\n\n\n\n<li><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>R<\/mi><mn>3<\/mn><\/msub><mo>=<\/mo><mn>6<\/mn><mi mathvariant=\"normal\">\u03a9<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">R_3 = 6\u03a9<\/annotation><\/semantics><\/math><\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">1. Req:<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><msub><mi>R<\/mi><mrow><mi>e<\/mi><mi>q<\/mi><\/mrow><\/msub><mo>=<\/mo><mn>2<\/mn><mo>+<\/mo><mn>4<\/mn><mo>+<\/mo><mn>6<\/mn><mo>=<\/mo><mn>12<\/mn><mi mathvariant=\"normal\">\u03a9<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">R_{eq} = 2 + 4 + 6 = 12\u03a9<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h5 class=\"wp-block-heading\">2. Corriente:<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>I<\/mi><mo>=<\/mo><mfrac><mn>12<\/mn><mn>12<\/mn><\/mfrac><mo>=<\/mo><mn>1<\/mn><mi>A<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">I = \\frac{12}{12} = 1A<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h5 class=\"wp-block-heading\">3. Voltajes:<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>V<\/mi><mn>1<\/mn><\/msub><mo>=<\/mo><mn>1<\/mn><mi>A<\/mi><mo>\u22c5<\/mo><mn>2<\/mn><mi mathvariant=\"normal\">\u03a9<\/mi><mo>=<\/mo><mn>2<\/mn><mi>V<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">V_1 = 1A \\cdot 2\u03a9 = 2V<\/annotation><\/semantics><\/math><\/li>\n\n\n\n<li><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>V<\/mi><mn>2<\/mn><\/msub><mo>=<\/mo><mn>1<\/mn><mi>A<\/mi><mo>\u22c5<\/mo><mn>4<\/mn><mi mathvariant=\"normal\">\u03a9<\/mi><mo>=<\/mo><mn>4<\/mn><mi>V<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">V_2 = 1A \\cdot 4\u03a9 = 4V<\/annotation><\/semantics><\/math><\/li>\n\n\n\n<li><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>V<\/mi><mn>3<\/mn><\/msub><mo>=<\/mo><mn>1<\/mn><mi>A<\/mi><mo>\u22c5<\/mo><mn>6<\/mn><mi mathvariant=\"normal\">\u03a9<\/mi><mo>=<\/mo><mn>6<\/mn><mi>V<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">V_3 = 1A \\cdot 6\u03a9 = 6V<\/annotation><\/semantics><\/math><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u2714\ufe0f Suma:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>2<\/mn><mo>+<\/mo><mn>4<\/mn><mo>+<\/mo><mn>6<\/mn><mo>=<\/mo><mn>12<\/mn><mi>V<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">2 + 4 + 6 = 12V<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Perfecto.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83e\udde0 Resumen brutalmente claro<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\ud83d\udd01 Corriente: <strong>misma en todo el circuito<\/strong><\/li>\n\n\n\n<li>\u2795 Resistencias: <strong>se suman<\/strong><\/li>\n\n\n\n<li>\ud83d\udd3b Voltaje: <strong>se divide proporcionalmente<\/strong><\/li>\n\n\n\n<li>\u2696\ufe0f Energ\u00eda: <strong>se conserva (Kirchhoff)<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\ude80 Tip nivel ingenier\u00eda (esto te interesa mucho)<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Este tipo de circuito es la base para:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Divisores de voltaje<\/li>\n\n\n\n<li>Polarizaci\u00f3n de transistores<\/li>\n\n\n\n<li>Control de se\u00f1ales anal\u00f3gicas<\/li>\n\n\n\n<li>Limitadores de corriente<\/li>\n\n\n\n<li>Electr\u00f3nica aplicada a CNC (muy importante en entradas anal\u00f3gicas)<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Aplicaciones:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"816\" height=\"417\" src=\"https:\/\/cnc-mastery.com\/curso\/wp-content\/uploads\/2026\/03\/Circuito_basico_de_polarizacion_directa_de_LEDs.jpg\" alt=\"\" class=\"wp-image-470\" srcset=\"https:\/\/cnc-mastery.com\/curso\/wp-content\/uploads\/2026\/03\/Circuito_basico_de_polarizacion_directa_de_LEDs.jpg 816w, https:\/\/cnc-mastery.com\/curso\/wp-content\/uploads\/2026\/03\/Circuito_basico_de_polarizacion_directa_de_LEDs-300x153.jpg 300w, https:\/\/cnc-mastery.com\/curso\/wp-content\/uploads\/2026\/03\/Circuito_basico_de_polarizacion_directa_de_LEDs-768x392.jpg 768w\" sizes=\"auto, (max-width: 816px) 100vw, 816px\" \/><figcaption class=\"wp-element-caption\">C\u00e1lculo de resistencia para limitar la corriente del led.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"473\" height=\"268\" src=\"https:\/\/cnc-mastery.com\/curso\/wp-content\/uploads\/2026\/03\/polarizacion_transistor.png\" alt=\"\" class=\"wp-image-467\" srcset=\"https:\/\/cnc-mastery.com\/curso\/wp-content\/uploads\/2026\/03\/polarizacion_transistor.png 473w, https:\/\/cnc-mastery.com\/curso\/wp-content\/uploads\/2026\/03\/polarizacion_transistor-300x170.png 300w\" sizes=\"auto, (max-width: 473px) 100vw, 473px\" \/><figcaption class=\"wp-element-caption\">Polarizaci\u00f3n de transistores<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"854\" height=\"492\" src=\"https:\/\/cnc-mastery.com\/curso\/wp-content\/uploads\/2026\/03\/divisor_voltaje_opam.png\" alt=\"\" class=\"wp-image-473\" srcset=\"https:\/\/cnc-mastery.com\/curso\/wp-content\/uploads\/2026\/03\/divisor_voltaje_opam.png 854w, https:\/\/cnc-mastery.com\/curso\/wp-content\/uploads\/2026\/03\/divisor_voltaje_opam-300x173.png 300w, https:\/\/cnc-mastery.com\/curso\/wp-content\/uploads\/2026\/03\/divisor_voltaje_opam-768x442.png 768w\" sizes=\"auto, (max-width: 854px) 100vw, 854px\" \/><figcaption class=\"wp-element-caption\">Divisor de voltaje en entrada de circuito integrado<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">En un <strong>circuito en serie<\/strong>, cualquier alteraci\u00f3n en un elemento afecta a todo el sistema porque:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>I<\/mi><mo>=<\/mo><msub><mi>I<\/mi><mn>1<\/mn><\/msub><mo>=<\/mo><msub><mi>I<\/mi><mn>2<\/mn><\/msub><mo>=<\/mo><mi mathvariant=\"normal\">.<\/mi><mi mathvariant=\"normal\">.<\/mi><mi mathvariant=\"normal\">.<\/mi><mo>=<\/mo><msub><mi>I<\/mi><mi>n<\/mi><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">I = I_1 = I_2 = &#8230; = I_n<\/annotation><\/semantics><\/math>I=I1\u200b=I2\u200b=&#8230;=In\u200b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Si algo cambia, cambia todo.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">\u274c Fallas t\u00edpicas en uncircuito en serie<\/h4>\n\n\n\n<h4 class=\"wp-block-heading\">\ud83d\udd34 1. Circuito Abierto<\/h4>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udd0e Causa f\u00edsica<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Resistencia fracturada<\/li>\n\n\n\n<li>Cable cortado<\/li>\n\n\n\n<li>Soldadura fr\u00eda<\/li>\n\n\n\n<li>Terminal suelto<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">\u26a1 Manifestaci\u00f3n el\u00e9ctrica<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><msub><mi>R<\/mi><mrow><mi>e<\/mi><mi>q<\/mi><\/mrow><\/msub><mo>\u2192<\/mo><mi mathvariant=\"normal\">\u221e<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">R_{eq} \\rightarrow \\infty<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>I<\/mi><mo>=<\/mo><mfrac><mi>V<\/mi><msub><mi>R<\/mi><mrow><mi>e<\/mi><mi>q<\/mi><\/mrow><\/msub><\/mfrac><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">I = \\frac{V}{R_{eq}} = 0<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Corriente total = 0 A<\/li>\n\n\n\n<li>No hay ca\u00edda de voltaje en resistencias intactas<\/li>\n\n\n\n<li>El voltaje de la fuente aparece en el punto abierto<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udc40 S\u00edntomas observables<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Sistema completamente inactivo<\/li>\n\n\n\n<li>LEDs apagados<\/li>\n\n\n\n<li>No consumo de corriente<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udee0 Diagn\u00f3stico<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Medici\u00f3n de continuidad<\/li>\n\n\n\n<li>Medici\u00f3n de corriente (0 A)<\/li>\n\n\n\n<li>Medici\u00f3n de voltaje entre nodos<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">\u2705 Soluci\u00f3n<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Reparar conexi\u00f3n<\/li>\n\n\n\n<li>Reemplazar componente abierto<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">\ud83d\udd25 2. Cortocircuito en un elemento<\/h4>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udd0e Causa f\u00edsica<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Soldadura puenteada<\/li>\n\n\n\n<li>Aislamiento da\u00f1ado<\/li>\n\n\n\n<li>Componente colapsado internamente<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">\u26a1 Manifestaci\u00f3n el\u00e9ctrica<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><msub><mi>R<\/mi><mi>x<\/mi><\/msub><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">R_x = 0<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><msub><mi>R<\/mi><mrow><mi>e<\/mi><mi>q<\/mi><\/mrow><\/msub><mo>\u2193<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">R_{eq} \u2193<\/annotation><\/semantics><\/math> <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>I<\/mi><mo>=<\/mo><mfrac><mi>V<\/mi><msub><mi>R<\/mi><mrow><mi>e<\/mi><mi>q<\/mi><\/mrow><\/msub><\/mfrac><mo>\u2191<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">I = \\frac{V}{R_{eq}} \u2191<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Aumento de corriente total<\/li>\n\n\n\n<li>Ca\u00edda de voltaje en ese elemento = 0 V<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udc40 S\u00edntomas<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Sobrecalentamiento<\/li>\n\n\n\n<li>Fusible disparado<\/li>\n\n\n\n<li>Fuente entra en protecci\u00f3n<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udee0 Diagn\u00f3stico<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Medici\u00f3n de resistencia anormalmente baja<\/li>\n\n\n\n<li>Medici\u00f3n de corriente excesiva<\/li>\n\n\n\n<li>Ca\u00edda de voltaje nula en el componente<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">\u2705 Soluci\u00f3n<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Eliminar el puente<\/li>\n\n\n\n<li>Sustituir el componente<\/li>\n\n\n\n<li>Verificar protecciones<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">\ud83c\udf21 3. Sobrecarga t\u00e9rmica (resistencia fuera de especificaci\u00f3n)<\/h4>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udd0e Causa<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\">Potencia disipada mayor a la nominal:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>P<\/mi><mo>=<\/mo><msup><mi>I<\/mi><mn>2<\/mn><\/msup><mi>R<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">P = I^2 R<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h5 class=\"wp-block-heading\">\u26a1 Manifestaci\u00f3n<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Cambio de valor resistivo<\/li>\n\n\n\n<li>Deriva t\u00e9rmica<\/li>\n\n\n\n<li>Eventual circuito abierto<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udc40 S\u00edntomas<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Resistencia ennegrecida<\/li>\n\n\n\n<li>Olor a quemado<\/li>\n\n\n\n<li>Variaci\u00f3n en mediciones<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udee0 Diagn\u00f3stico<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Medir resistencia fuera de circuito<\/li>\n\n\n\n<li>Calcular potencia esperada<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">\u2705 Soluci\u00f3n<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Sustituir por resistencia de mayor wattaje<\/li>\n\n\n\n<li>Redise\u00f1ar valores<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">\ud83d\udcc9 4. Deriva de valor (tolerancia o envejecimiento)<\/h4>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udd0e Causa<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Envejecimiento<\/li>\n\n\n\n<li>Temperatura<\/li>\n\n\n\n<li>Resistencia de baja calidad<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">\u26a1 Manifestaci\u00f3n<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\">Cambio en distribuci\u00f3n de voltaje:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><msub><mi>V<\/mi><mi>x<\/mi><\/msub><mo>=<\/mo><msub><mi>V<\/mi><mi>f<\/mi><\/msub><mo>\u22c5<\/mo><mfrac><msub><mi>R<\/mi><mi>x<\/mi><\/msub><msub><mi>R<\/mi><mrow><mi>e<\/mi><mi>q<\/mi><\/mrow><\/msub><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">V_x = V_f \\cdot \\frac{R_x}{R_{eq}}<\/annotation><\/semantics><\/math>\u200b\u200b<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Una resistencia mayor \u201croba\u201d m\u00e1s voltaje<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udc40 S\u00edntomas<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Voltajes incorrectos<\/li>\n\n\n\n<li>Polarizaci\u00f3n err\u00f3nea<\/li>\n\n\n\n<li>Sensores mal calibrados<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udee0 Diagn\u00f3stico<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Comparar valor nominal vs medido<\/li>\n\n\n\n<li>Medir ca\u00eddas de voltaje<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">\u2705 Soluci\u00f3n<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Reemplazo<\/li>\n\n\n\n<li>Usar resistencias de precisi\u00f3n<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">\ud83d\udd0c 5. Falsos contactos (intermitencia)<\/h4>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udd0e Causa<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Vibraci\u00f3n<\/li>\n\n\n\n<li>Conectores flojos<\/li>\n\n\n\n<li>Oxidaci\u00f3n<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">\u26a1 Manifestaci\u00f3n<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Corriente intermitente<\/li>\n\n\n\n<li>Variaciones bruscas de voltaje<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udc40 S\u00edntomas<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Parpadeos<\/li>\n\n\n\n<li>Fallas espor\u00e1dicas<\/li>\n\n\n\n<li>Lecturas inestables<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udee0 Diagn\u00f3stico<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Prueba mec\u00e1nica (mover cableado)<\/li>\n\n\n\n<li>Osciloscopio para detectar interrupciones<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">\u2705 Soluci\u00f3n<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Rehacer soldaduras<\/li>\n\n\n\n<li>Limpiar contactos<\/li>\n\n\n\n<li>Asegurar conexiones<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">\ud83d\udca3 6. Fuente insuficiente o ca\u00edda de alimentaci\u00f3n<\/h4>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udd0e Causa<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Fuente mal dimensionada<\/li>\n\n\n\n<li>Ca\u00edda interna de la fuente<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">\u26a1 Manifestaci\u00f3n<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><msub><mi>V<\/mi><mi>f<\/mi><\/msub><mo>\u2193<\/mo><mo>\u21d2<\/mo><mi>I<\/mi><mo>\u2193<\/mo><mo>\u21d2<\/mo><msub><mi>V<\/mi><mn>1<\/mn><\/msub><mo separator=\"true\">,<\/mo><msub><mi>V<\/mi><mn>2<\/mn><\/msub><mo separator=\"true\">,<\/mo><msub><mi>V<\/mi><mn>3<\/mn><\/msub><mo>\u2193<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">V_f \u2193 \\Rightarrow I \u2193 \\Rightarrow V_1, V_2, V_3 \u2193<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udc40 S\u00edntomas<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Todo funciona d\u00e9bil<\/li>\n\n\n\n<li>LEDs con baja intensidad<\/li>\n\n\n\n<li>Se\u00f1ales digitales inestables<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udee0 Diagn\u00f3stico<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Medir voltaje bajo carga<\/li>\n\n\n\n<li>Comparar con especificaci\u00f3n<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">\u2705 Soluci\u00f3n<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Fuente adecuada<\/li>\n\n\n\n<li>Mejor regulaci\u00f3n<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83d\udcca Resumen t\u00e9cnico<\/h5>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Falla<\/th><th>Corriente<\/th><th>Voltaje<\/th><th>Riesgo<\/th><\/tr><\/thead><tbody><tr><td>Abierto<\/td><td>0 A<\/td><td>Vf en punto abierto<\/td><td>Sistema inactivo<\/td><\/tr><tr><td>Corto<\/td><td>Muy alta<\/td><td>0 V en elemento<\/td><td>Sobrecalentamiento<\/td><\/tr><tr><td>Sobrecarga<\/td><td>Alta<\/td><td>Alterada<\/td><td>Da\u00f1o t\u00e9rmico<\/td><\/tr><tr><td>Deriva<\/td><td>Normal<\/td><td>Desbalanceado<\/td><td>Mal funcionamiento<\/td><\/tr><tr><td>Intermitente<\/td><td>Variable<\/td><td>Inestable<\/td><td>Dif\u00edcil diagn\u00f3stico<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h5 class=\"wp-block-heading\">\ud83c\udfaf Conclusi\u00f3n clave<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>En un circuito en serie:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">El an\u00e1lisis siempre comienza por medir I y Vf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Una falla afecta a todo el sistema<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">La corriente depende de la resistencia total<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">El voltaje se redistribuye autom\u00e1ticamente<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\ud83d\udd37 circuitos en Serie Objetivos: La raz\u00f3n es simple: una enorme cantidad de problemas reales se reducen a una malla [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center 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