Name: series and parallel impedance rules
Uploaded: 2024-04-11T12:48:49.000Z
Duration: 1 min 21 s
Channel: JoVE

Considere una cadena de luces navideñas, donde cada bombilla representa una impedancia. Esta disposición en serie de impedancias garantiza una corriente uniforme en cada componente.
Aplicando la Ley de Voltaje de Kirchhoff, la impedancia equivalente es igual a la suma de impedancias individuales, similar a las resistencias en serie.
El voltaje de la fuente se distribuye proporcionalmente entre múltiples componentes en función de sus respectivas impedancias, adhiriéndose al principio de división de voltaje.
En una conexión en serie, el mal funcionamiento de una sola bombilla desencadena un circuito abierto, interrumpiendo el flujo de corriente.
Por lo tanto, las luces de Navidad generalmente están conectadas en una configuración paralela, lo que garantiza un voltaje constante en cada componente.
La aplicación de la ley de corriente de Kirchhoff a este circuito paralelo revela que el recíproco de la impedancia equivalente es igual a la suma de los recíprocos de las impedancias individuales, similar a las resistencias en paralelo.
Por lo tanto, la admisión equivalente está dada por la suma de las admitciones individuales.
La corriente de la fuente se divide entre los componentes en proporción inversa a sus impedancias, lo que demuestra el principio de división de corriente.
Aquí, cada componente establece una ruta independiente a la fuente de alimentación, lo que permite un flujo de corriente aislado.

combinación de impedancias

Considere una cadena de luces navideñas, cada bombilla simboliza un elemento de impedancia. En esta configuración en serie, el flujo de corriente eléctrica permanece uniforme en todos los componentes. Este comportamiento se alinea con la Ley de voltaje de Kirchhoff (KVL), que afirma que la impedancia total en tal configuración es igual a la suma de las impedancias individuales, similar a las resistencias en serie. De ello se deduce que el voltaje de la fuente de energía se distribuye proporcionalmente entre estos componentes, siguiendo el principio de división de voltaje. <img alt="Equation1" src="/files/ftp_upload/15569/15569_PT_Equation_1.svg" style="text-align: center; height: 48px;"> Sin embargo, el inconveniente de esta conexión en serie se hace evidente cuando falla una sola bombilla, provocando un circuito abierto que interrumpe todo el flujo de corriente. Las luces navideñas suelen estar dispuestas en una configuración paralela para garantizar un suministro de energía continuo y estable. Esta configuración garantiza un voltaje constante en cada bombilla, según la Ley de corriente de Kirchhoff (KCL), donde el recíproco de la impedancia equivalente equivale a la suma de los recíprocos de las impedancias individuales, similar a las resistencias en paralelo. De ello se deduce que la admitancia equivalente es la suma de las admitancias individuales. En esta disposición paralela, la corriente de la fuente se divide inversamente según las impedancias de las bombillas individuales, lo que ejemplifica el principio de división de corriente. En particular, cada bombilla establece un camino independiente hacia la fuente de energía, lo que permite un flujo de corriente aislado e ininterrumpido. <img alt="Equation2" src="/files/ftp_upload/15569/15569_PT_Equation_2.svg" style="text-align: center; height: 48px;"> <img alt="Equation3" src="/files/ftp_upload/15569/15569_PT_Equation_3.svg" style="text-align: center; height: 40px;"> Además, en circuitos más complejos con impedancias en serie y en paralelo, las transformaciones delta a estrella y estrella a delta también se pueden emplear para circuitos de impedancia, lo que ofrece valiosas herramientas de análisis y diseño de circuitos. Estas transformaciones facilitan la conversión entre diferentes configuraciones de impedancia, mejorando la versatilidad de los circuitos basados en impedancia.

Combinación de impedancias

Considere una cadena de luces navideñas, donde cada bombilla representa una impedancia. Esta disposición en serie de impedancias garantiza una corriente uniforme ...

Education

Educación

JoVE Core

Electrical Engineering

Ingeniería Eléctrica

Unit 1

Unidad 1

AC Circuit Analysis

Análisis de circuitos de corriente alterna (CA)

KEY TERMS AND CONCEPTS

TÉRMINOS Y CONCEPTOS CLAVE

Impedance Combination

series and parallel impedance rules

Impedance in series and parallel circuits follows the same rules used for resistors. A string of Christmas lights is a simple example. Each bulb represents one impedance element. In a series connection, the current stays the same through every component.

This series behavior matches Kirchhoff’s Voltage Law, or KVL. The total impedance in the circuit is the sum of the individual impedances. The source voltage is then divided among the components based on their values. This is the voltage division principle. One weak point of a series circuit is that one failed bulb can open the circuit and stop current flow.

Christmas lights are often wired in parallel to avoid that problem. In a parallel circuit, each bulb keeps its own path to the power source. The voltage across each bulb stays constant. This matches Kirchhoff’s Current Law, or KCL. For parallel impedance, the reciprocal of the equivalent impedance equals the sum of the reciprocals of the individual impedances.

The equivalent admittance is the sum of the individual admittances. Admittance is the inverse of impedance. In this setup, the source current splits according to the impedances of the branches. This is the current division principle. Because each bulb has an independent path, current can keep flowing even if one branch fails.

For circuits that mix series and parallel impedances, delta-to-wye and wye-to-delta transformations are useful. These methods let students convert one impedance network into another form. They make circuit analysis and design more flexible.

Series and Parallel Impedance Rules

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electrical engineering

Series and Parallel Impedance Rules

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