Name: equivalent inductance in circuit networks
Uploaded: 2024-04-11T12:48:39.000Z
Duration: 1 min 17 s
Channel: JoVE

K12 Standards

Texas Essential Knowledge and Skills

High School

Chemistry and Physics

IPC.6

IPC.6.A

Series and Parallel Inductors

Los inductores conectados en configuraciones en serie y/o en paralelo se pueden simplificar a un solo inductor equivalente.
Considere una conexión en serie de inductores con la misma corriente que fluye a través de ellos.
Cuando se aplica la ley de voltaje de Kirchhoff al bucle y se sustituye la expresión de los voltajes del inductor, la expresión resultante indica que la inductancia equivalente de estos inductores conectados en serie es igual a la suma de las inductancias individuales.
A continuación, considere una conexión en paralelo de inductores, donde cada inductor experimenta el mismo voltaje a través de él. La ley de corriente de Kirchhoff se aplica al bucle y se sustituye la expresión de la corriente del inductor.
Dado que la corriente inicial a través del inductor equivalente es la suma de las corrientes individuales del inductor, la suma de los recíprocos de las inductancias individuales es igual al recíproco de la inductancia equivalente.
Las combinaciones de inductores en serie y en paralelo siguen reglas similares a las de las resistencias.
Considere un circuito con inductores en serie y en paralelo. La inductancia equivalente de la combinación paralela de inductores se calcula y se suma a la inductancia en serie para obtener la inductancia equivalente total.

inductores en serie y paralelo

En los circuitos eléctricos, integrar inductores en el conjunto de herramientas de elementos pasivos requiere navegar por las complejidades de las combinaciones en serie y en paralelo que involucran a estos componentes. Los circuitos prácticos a menudo presentan configuraciones de múltiples inductores, y es vital comprender cómo determinar su inductancia equivalente. Para una conexión en serie de N inductores, cada uno de los cuales transporta la misma corriente, la aplicación de la ley de voltaje de Kirchhoff revela una relación crucial. Sustituir la expresión de los voltajes del inductor lleva a una conclusión reveladora: la inductancia equivalente de esta disposición en serie es la simple suma de las inductancias individuales. Este fenómeno refleja cómo se combinan las resistencias en serie, enfatizando una similitud fundamental entre estos elementos pasivos. <img alt="Equation1" src="/files/ftp_upload/15090/15090_Equation_1.svg" style="text-align: center; height: 16px;"> En una conexión en paralelo de inductores, cada uno tiene un voltaje idéntico; Se puede aplicar la ley actual de Kirchhoff. Esto lleva a una revelación importante: el recíproco de la inductancia equivalente es igual a la suma de los recíprocos de las inductancias individuales. Esta regla de combinación paralela refleja el comportamiento de las resistencias en paralelo, lo que ilustra un enfoque armonioso para tratar con diferentes elementos pasivos. <img alt="Equation2" src="/files/ftp_upload/15090/15090_Equation_2.svg" style="text-align: center; height: 34px;"> En la práctica, los circuitos suelen presentar una combinación de inductores en serie y en paralelo. Cuando se enfrenta a tales escenarios, la inductancia equivalente de los inductores paralelos se calcula y se suma a la inductancia en serie para obtener la inductancia equivalente general del circuito.

Inductores en serie y paralelo

Los inductores conectados en configuraciones en serie y/o en paralelo se pueden simplificar a un solo inductor equivalente.
Considere una conexión en serie de inductores ...

Education

Educación

JoVE Core

Electrical Engineering

Ingeniería Eléctrica

Unit 1

Unidad 1

Energy Storage Elements

Elementos de almacenamiento de energía

KEY TERMS AND CONCEPTS

TÉRMINOS Y CONCEPTOS CLAVE

equivalent inductance in circuit networks

Equivalent inductance in circuit networks helps simplify circuits with multiple inductors. When inductors are combined, the circuit can often be replaced by one inductor with the same effect on the current and voltage.

For inductors in series, the same current flows through each component. Applying Kirchhoff's voltage law shows that the total voltage is the sum of the inductor voltages. As a result, the equivalent inductance of a series group is the sum of the individual inductances. This is the same pattern used for resistors in series.

For inductors in parallel, each branch has the same voltage. Kirchhoff's current law gives the key relationship for this arrangement. The reciprocal of the equivalent inductance equals the sum of the reciprocals of the individual inductances. This matches the rule used for resistors in parallel.

Many practical circuits use a mix of series and parallel inductors. In those cases, the parallel inductors are first combined into one equivalent inductance. That result is then added to the inductance in series to find the total equivalent inductance of the circuit.

Equivalent Inductance in Circuit Networks

equivalent-inductance-in-circuit-networks

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series and parallel inductors

Equivalent inductance in circuit networks helps simplify circuits with multiple inductors. When inductors are combined, the circuit can often be replaced by one inductor with the same effect on the current and voltage. For inductors in series, the same current flows through each component. Applying Kirchhoff's voltage law shows that the total voltage is the sum of the inductor voltages. As a result, the equivalent inductance of a series group is the sum of the individual inductances. This is...

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Learn how series and parallel inductors combine in circuits. See how Kirchhoff's laws give the rules for equivalent inductance in mixed networks.

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Equivalent Inductance in Circuit Networks

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