Name: rl step response under a dc source
Uploaded: 2024-04-11T12:48:43.000Z
Duration: 1 min 14 s
Channel: JoVE

Cuando un circuito RL está conectado a una fuente de CC, su respuesta completa se divide en respuestas transitorias y de estado estacionario.
La respuesta transitoria es la respuesta temporal del circuito que decae exponencialmente a cero a medida que el tiempo se acerca al infinito.
Luego, el inductor actúa como un cortocircuito y el voltaje de la fuente cae a través de la resistencia.
En este instante, la corriente en el circuito se vuelve constante e iguala la relación entre el voltaje de la fuente y la resistencia. Esta es la respuesta de estado estacionario.
Sustituyendo el estado estacionario y la respuesta transitoria se obtiene la respuesta total del circuito RL.
El término constante se determina sustituyendo la corriente inicial a través del inductor en un tiempo igual a cero.
La respuesta de paso completa, representada gráficamente, muestra que la corriente inicial disminuye exponencialmente a un valor de estado estacionario.
Si la corriente inicial es cero, la respuesta de paso completa muestra el aumento exponencial de la corriente a un valor de estado estacionario.
La respuesta de voltaje disminuye exponencialmente a cero con un voltaje inicial igual al voltaje de la fuente.

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circuito rl con fuente

Cuando un circuito RL (Resistor-Inductor) se conecta a una fuente de CC, la respuesta completa del circuito se puede dividir en dos partes: la respuesta transitoria y la respuesta de estado estable. La respuesta transitoria del circuito es su reacción temporal a la aplicación repentina de la fuente de CC. Esta respuesta se caracteriza por una corriente que decae exponencialmente hasta cero a medida que el tiempo se acerca al infinito. Durante este período de transición, el inductor se comporta como un cortocircuito, lo que hace que el voltaje de la fuente caiga a través de la resistencia. Una vez que la respuesta transitoria ha decaído a cero, el circuito entra en su fase de estado estable. En esta fase, la corriente en el circuito se vuelve estable, igualando la relación entre el voltaje de la fuente y la resistencia del circuito. Esta es la respuesta en estado estacionario. El término constante en la respuesta transitoria se puede determinar sustituyendo la corriente inicial a través del inductor en el momento en que se cierra el interruptor (t=0). Esto nos da la condición inicial para la respuesta transitoria. Trazar la respuesta escalonada completa del circuito muestra que la corriente inicial disminuye exponencialmente, hasta que alcanza un valor de estado estable. De esta respuesta de corriente se deriva la respuesta de tensión, que también sigue una caída exponencial desde un valor máximo hasta cero. Si la corriente inicial en el circuito es cero, la respuesta escalonada completa muestra que la corriente aumenta exponencialmente hasta alcanzar el valor de estado estable. En consecuencia, la respuesta del voltaje comienza en el voltaje de la fuente y disminuye exponencialmente hasta cero. En conclusión, comprender la respuesta completa de un circuito RL a una fuente de CC proporciona información valiosa sobre cómo reaccionan estos circuitos ante cambios repentinos en el voltaje de entrada. Este conocimiento es esencial para diseñar y analizar circuitos electrónicos, particularmente en aplicaciones como el filtrado de fuentes de alimentación y el procesamiento de señales, donde los inductores se utilizan ampliamente.

Circuito RL con Fuente

Cuando un circuito RL está conectado a una fuente de CC, su respuesta completa se divide en respuestas transitorias y de estado estacionario.
La respuesta transitoria es la ...

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RL Circuit with Source

rl step response under a dc source

An RL circuit connected to a DC source has a step response that changes over time. The response has two parts: the transient response and the steady-state response. The transient response is the short-lived reaction that happens right after the source is applied.

During the transient phase, the current changes exponentially. If the circuit starts with current in the inductor, that current decays toward zero as time goes on. At this stage, the inductor acts like a short circuit, so the source voltage drops across the resistor.

The constant term in the transient response comes from the initial inductor current at the moment the switch closes, which is t = 0. That initial value gives the starting condition for the response. As the transient dies out, the circuit reaches steady state.

In steady state, the current becomes stable. Its value equals the source voltage divided by the resistance. The current response can be plotted to show the exponential change toward this final value.

The voltage response is also derived from the current response. When the current decays from an initial value, the voltage drops exponentially from a maximum value to zero. If the initial current is zero, the current instead rises exponentially to the steady-state value, and the voltage starts at the source voltage and falls to zero.

Understanding the complete response of an RL circuit to a DC source helps explain how these circuits react to sudden changes in input voltage. This idea is useful in circuit design and analysis. It is especially important in applications such as power supply filtering and signal processing, where inductors are used extensively.

RL Step Response Under a DC Source

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Explore how an RL circuit responds to a DC source, including transient and steady-state behavior, exponential current change, and voltage decay.

RL Step Response Under a DC Source | JoVE K12

JoVE Core Electrical Engineering offers easy-to-understand animated videos that cover fundamental concepts of electric circuits along with circuit analysis techniques. It incorporates first-order and second-order circuits using operational amplifiers and circuit transformation concepts. The inclusion of practical design examples and real-world applications through scientist-in-action videos adds significant educational value, making complex concepts accessible.

electrical engineering

RL Step Response Under a DC Source

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