From 3a1b645bad5c99bfb03d2c457e0b56261339abef Mon Sep 17 00:00:00 2001 From: Wolfang Torres Date: Mon, 19 Mar 2018 23:43:25 -0400 Subject: [PATCH] update --- public_html/assets/css/main.css | 2 +- public_html/circuitos.html | 145 +++++++- public_html/images/Corriente_Alterna.png | Bin 0 -> 61351 bytes public_html/images/Corriente_Continua_01.png | Bin 0 -> 17376 bytes public_html/images/Corriente_Continua_02.png | Bin 0 -> 1939 bytes public_html/images/Corriente_Continua_03.png | Bin 0 -> 1725 bytes public_html/images/LC_Circuit.gif | Bin 0 -> 183760 bytes public_html/images/RLC_Series.jpg | Bin 0 -> 62796 bytes public_html/images/RL_Series.png | Bin 0 -> 10789 bytes public_html/images/bobina01.jpg | Bin 0 -> 18431 bytes public_html/images/bobina02.jpg | Bin 0 -> 90250 bytes public_html/images/bobina03.jpg | Bin 0 -> 157859 bytes public_html/images/symbols/Bobinas_01.png | Bin 0 -> 6137 bytes public_html/images/symbols/Bobinas_02.png | Bin 0 -> 3311 bytes public_html/images/symbols/Circuito_LC.svg | 45 +++ .../images/symbols/Circuito_RLC_Serie.svg | 269 +++++++++++++++ .../images/symbols/Corriente_Alterna_01.png | Bin 0 -> 3269 bytes .../images/symbols/Corriente_Alterna_02.png | Bin 0 -> 877 bytes .../images/symbols/Corriente_RLC_Serie.svg | 271 +++++++++++++++ public_html/images/symbols/Raices_RLC.svg | 315 ++++++++++++++++++ .../symbols/Resonancia_Atenuacion_Serie.svg | 245 ++++++++++++++ 21 files changed, 1282 insertions(+), 10 deletions(-) create mode 100644 public_html/images/Corriente_Alterna.png create mode 100644 public_html/images/Corriente_Continua_01.png create mode 100644 public_html/images/Corriente_Continua_02.png create mode 100644 public_html/images/Corriente_Continua_03.png create mode 100644 public_html/images/LC_Circuit.gif create mode 100644 public_html/images/RLC_Series.jpg create mode 100644 public_html/images/RL_Series.png create mode 100644 public_html/images/bobina01.jpg create mode 100644 public_html/images/bobina02.jpg create mode 100644 public_html/images/bobina03.jpg create mode 100644 public_html/images/symbols/Bobinas_01.png create mode 100644 public_html/images/symbols/Bobinas_02.png create mode 100644 public_html/images/symbols/Circuito_LC.svg create mode 100644 public_html/images/symbols/Circuito_RLC_Serie.svg create mode 100644 public_html/images/symbols/Corriente_Alterna_01.png create mode 100644 public_html/images/symbols/Corriente_Alterna_02.png create mode 100644 public_html/images/symbols/Corriente_RLC_Serie.svg create mode 100644 public_html/images/symbols/Raices_RLC.svg create mode 100644 public_html/images/symbols/Resonancia_Atenuacion_Serie.svg diff --git a/public_html/assets/css/main.css b/public_html/assets/css/main.css index 9b63a56..8bad004 100644 --- a/public_html/assets/css/main.css +++ b/public_html/assets/css/main.css @@ -1846,7 +1846,7 @@ header h6+p { header.major { text-align: center; - margin-top: 4em; + margin-top: 8em; } header.major h1, diff --git a/public_html/circuitos.html b/public_html/circuitos.html index 9694094..e0d751a 100644 --- a/public_html/circuitos.html +++ b/public_html/circuitos.html @@ -65,6 +65,38 @@

Corriente Alterna

+

+

Corriente alterna (abreviada CA en español y AC en inglés, de alternating current) se denomina a la corriente + eléctrica en la que la magnitud y el sentido varían cíclicamente.

+

La forma de oscilación de la corriente alterna más comúnmente utilizada es la oscilación senoidal (sinusoidal + en inglés) ​con la que se consigue una transmisión más eficiente de la energía, a tal punto que al + hablar de corriente alterna se sobrentiende que se refiere a la corriente alterna senoidal.

+

+ +

Sin embargo, en ciertas aplicaciones se utilizan otras formas de oscilación periódicas, tales como la + triangular o la cuadrada.

+

Utilizada genéricamente, la CA se refiere a la forma en la cual la electricidad llega a los hogares y + a las industrias. Sin embargo, las señales de audio y de radio transmitidas por los cables eléctricos, + son también ejemplos de corriente alterna. En estos usos, el fin más importante suele ser la transmisión + y recuperación de la información codificada (o modulada) sobre la señal de la CA.

+

Algunos tipos de oscilaciones periódicas tienen el inconveniente de no tener definida su expresión matemática, + por lo que no se puede operar analíticamente con ellas. Por el contrario, la oscilación sinusoidal + no tiene esta indeterminación matemática y presenta las siguientes ventajas:

+
    +
  1. La función seno está perfectamente definida mediante su expresión analítica y gráfica. Mediante la + teoría de los números complejos se analizan con suma facilidad los circuitos de alterna.
  2. +
  3. Las oscilaciones periódicas no sinusoidales se pueden descomponer en suma de una serie de oscilaciones + sinusoidales de diferentes frecuencias que reciben el nombre de armónicos. Esto es una aplicación + directa de las series de Fourier.
  4. +
  5. Se pueden generar con facilidad y en magnitudes de valores elevados para facilitar el transporte + de la energía eléctrica.
  6. +
  7. Su transformación en otras oscilaciones de distinta magnitud se consigue con facilidad mediante la + utilización de transformadores.
  8. +
+

Potencia en C.A

+ +

Impedancia

+
@@ -81,7 +113,21 @@

Corriente Continua

- +

La corriente continua (abreviada CD en español y DC en inglés, de direct current) se refiere al flujo + continuo de carga eléctrica a través de un conductor entre dos puntos de distinto potencial y carga + eléctrica, que no cambia de sentido con el tiempo.​ A diferencia de la corriente alterna, en la corriente + continua las cargas eléctricas circulan siempre en la misma dirección.

+ +

Aunque comúnmente se identifica la corriente continua con una corriente constante, es continua toda corriente + que mantenga siempre la misma polaridad, así disminuya su intensidad conforme se va consumiendo la + carga (por ejemplo cuando se descarga una batería eléctrica).

+ + +

También se dice corriente continua cuando los electrones se mueven siempre en el mismo sentido, el flujo + se denomina corriente continua y va (por convenio) del polo positivo al negativo.

+

Los cálculos de circuitos de corriente continua se realizan respectivamente aplicando las leyes de Ohm, + leyes de Kirchhoff, circuitos delta y estrella, teoremas de mallas y nodos, teorema de superposición, + y ley de Thevenin y Norton.

@@ -98,7 +144,36 @@

Bobinas

+
+

Definición

+
+

Un inductor, bobina o reactor es un componente pasivo de un circuito eléctrico que, debido al fenómeno + de la autoinducción, almacena energía en forma de campo magnético.

+ +
+

Construcción

+
+

Un inductor está constituido normalmente por una bobina de conductor, típicamente alambre o hilo de cobre + esmaltado. Existen inductores con núcleo de aire o con núcleo hecho de material ferroso (por ejemplo, + acero magnético), para incrementar su capacidad de magnetismo. +

+ + +
+

Funcionamiento

+
+

La bobina almacena energía en forma de campo magnético cuando aumenta la intensidad de corriente, devolviéndola + cuando ésta disminuye.

+ +
+

Voltaje y Corriente a través de una Bobina

+
+

Matemáticamente se puede demostrar que la energía U, almacenada por una bobina con inductancia L, que + es recorrida por una corriente de intensidad I, viene dada por:

+ +

Y la Corriente viene dada por:

+
@@ -175,6 +250,7 @@

Circuitos Transitorios

+

Circuitos RC

@@ -184,7 +260,7 @@ al bloquear ciertas frecuencias y permitir otras.

El Circuito RC mas simple es un Capacitor cargado y una Resistencia conectadas entre ellas, el Capacitor va a descargar creando un voltaje, este valor depende del tiempo y se reduce hasta llegar a 0

- +

Voltaje en el Circuito

@@ -193,22 +269,22 @@ tema anterior la corriente que atravesara el Capacitor variara con el tiempo, y deducimos que:

- +

Al despejar el Voltaje obtenemos la formula de la Caída Exponencial, Si V0 es el Voltaje inicial del Capacitor

- +

Ademas, el tiempo requerido para que el voltaje disminuya a un 1/e de su valor inicial, se conoce como la Constante de Tiempo RC, y esta definida por:

- +

Circuitos RL

-

+

Es un Circuito compuesto por Inductores y Resistencias en serie. Se pueden usar para filtrar una señal, específicamente los circuitos de Respuesta Infinita al Impulso esta compuesto de una sola Resistencia con un Inductor

@@ -224,14 +300,65 @@ tema anterior y en simetría con los Circuitos RC la corriente que generara el Inductor esta dada por:

- +

Definiendo la Constante de Tiempo RL como:

- +

Por lo que terminamos con:

- +
+ +
+
+

Circuitos RLC

+
+

Es un circuito eléctrico que consiste de una Resistencia (R), un Inductor (L) y un Condensador (C), conectados + en serie o paralelo. Estos circuitos se caracterizan por su comportamiento de oscilador armónico, + de la misma forma que un circuito LC, pero en la realidad no es posible obtener una resistencia de + 0 en un circuito fuera de la super conductividad

+ + +
+

Circuito LC

+
+

Para entender mejor el funcionamiento de un circuito RLC es mejor examinar el caso ideal donde la resistencia + es nula: un circuito LC

+ +

Como se puede observer el comportamiento de los Inductores al oponerse a los cambios de de corriente, + incluyendo su disminución, y la de los Capacitores de almacenar cargas eléctricas hasta cargarse + y luego descargarse expulsando las cargas en sentido opuesto, causan un efecto de Oscilación

+ +

El Capacitor cargado expulsaría electrones hasta que ambas capas estuvieran al mismo potencial, sin embargo + el campo magnético del inductor retrasa la corriente al inicio, cuando esta es fuerte, manteniendo + la diferencia de potencial, y al final cuando quedan pocas cargas en el negativo del capacitor, el + campo magnético acumulado las empuja hasta el otro terminal, de forma que todas las cargas son transferidas + de un terminal del Condensador al otro

+

El funcionamiento de los Circuitos RLC es como esto pero obviamente con una Resistencia agregada, esta + tendrá el efecto de disipar una parte de la energía en cada Oscilación, conocido como Amortiguamiento

+ +
+

Circuito RLC en Serie

+
+ +

Para poder explicar funcionamiento del circuito primero es importante discutir las medidas frecuencia + angular, + α y + ω0. + α es la frecuencia neperiana o Atenuación, y es una medida de que tan rápido la respuesta del + circuito morirá después de ser removido una fuente de estimulo. + ω0 es la frecuencia de resonancia angular. En un circuito en series estas están dadas por:

+ +

Definiendo a las raíces S como:

+ +

Se puede calcular la formula para la Corriente en el circuito:

+ +

En donde los coeficientes A1 e A2 son dependientes del circuito y se calculan al realizar un sistema + de ecuaciones con la formula resulta para el valor de la Corriente en el tiempo inicial y el que + va atener después de un tiempo infinito

+ +
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b/public_html/images/symbols/Resonancia_Atenuacion_Serie.svg @@ -0,0 +1,245 @@ + + + + + + image/svg+xml + + + + + + {\displaystyle {\begin{aligned}\alpha &={\frac {R}{2L}}\\\omega _{0}&={\frac {1}{\sqrt {LC}}}\,.\end{aligned}}} + + +