Name: series resonance and rlc filter behavior
Uploaded: 2024-07-08T13:20:02.000Z
Duration: 1 min 24 s
Channel: JoVE

Considere una unidad transmisora de radio que incorpore un filtro de paso de banda de resonancia de la serie RLC.
La respuesta de frecuencia de este circuito indica que la magnitud de la corriente aumenta inicialmente, alcanza su punto máximo en la frecuencia de resonancia y disminuye a medida que aumenta la frecuencia.
La disipación de potencia, correspondiente al valor máximo de corriente, es más alta en la resonancia.
A las frecuencias de media potencia, la corriente es 0,707 veces la corriente máxima y la potencia disipada es la mitad del máximo.
La frecuencia de resonancia es la media geométrica de estas frecuencias de media potencia.
El ancho de banda, definido como el rango de frecuencia entre las frecuencias de potencia media, es igual a la relación entre la resistencia y la inductancia.
El factor de calidad, que representa la nitidez de la curva de resonancia, relaciona la energía máxima almacenada en el circuito con la energía disipada por ciclo de oscilación.
En la resonancia, la energía reactiva oscila entre los elementos reactivos, produciendo una expresión del factor de calidad en términos de reactancias.
Este factor se puede expresar como la relación entre la frecuencia de resonancia y el ancho de banda.
Un factor de calidad más alto implica un ancho de banda más estrecho, lo que aumenta la selectividad.

respuesta de frecuencia

Characteristics of Series Resonant Circuit

La resonancia en serie ocurre en un circuito que contiene elementos inductivos (L), capacitivos (C) y resistivos (R) conectados secuencialmente. En la frecuencia de resonancia, las reactancias inductiva y capacitiva son iguales en magnitud pero de signo opuesto, anulándose efectivamente entre sí. Esto provoca que la impedancia del circuito sea mínima, determinada principalmente por la resistencia R. La frecuencia de resonancia de un circuito RLC se define como:
<img alt="Equation 1" src="/files/ftp_upload/15144/15144_Equation_1.svg" style="height: 34px;">
La disipación de potencia en la resistencia es proporcional al cuadrado de la corriente. Esto muestra que la disipación de potencia también es máxima cuando la corriente es máxima en una condición de resonancia. Esta potencia máxima viene dada por:
<img alt="Equation 2" src="/files/ftp_upload/15144/15144_Equation_2.svg" style="height: 24px;">
donde I_max es la corriente máxima en resonancia.
El ancho de banda de un circuito se define como el rango de frecuencias en el que la potencia disipada disminuye a la mitad de su valor máximo. Esto ocurre en las frecuencias de media potencia, donde la corriente se reduce a aproximadamente el 70,7% de su nivel máximo. El ancho de banda se calcula como la diferencia entre las frecuencias de media potencia más altas y más bajas.
En resonancia, la potencia reactiva no se disipa sino que oscila entre el inductor y el condensador, mientras que la potencia resistiva se disipa en la resistencia. El factor de calidad se relaciona con la energía máxima almacenada en el circuito versus la energía disipada por ciclo. En la aplicación, un transmisor de radio con un factor Q más alto para su filtro RLC puede aislar mejor una señal deseada del ruido de frecuencia cercano. La compensación es el ancho de banda: un Q más alto reduce el ancho de banda, lo que podría limitar la aplicabilidad del filtro en sistemas que requieren un rango de frecuencia más completo.
Un circuito de resonancia en serie RLC ejemplifica la ingeniería de precisión en la transmisión de radio al funcionar como un filtro de paso de banda eficaz. Este circuito está diseñado con precisión para permitir un pico en la magnitud de la corriente en la frecuencia de resonancia, lo que permite la transmisión y recepción de frecuencia selectiva.

Respuesta de frecuencia

Considere una unidad transmisora de radio que incorpore un filtro de paso de banda de resonancia de la serie RLC.
La respuesta de frecuencia de este circuito indica que el ...

characteristics-of-series-resonant-circuit

Education

Educación

JoVE Core

Electrical Engineering

Ingeniería Eléctrica

Unit 1

Unidad 1

Frequency Response

Respuesta en frecuencia

KEY TERMS AND CONCEPTS

TÉRMINOS Y CONCEPTOS CLAVE

series resonance and rlc filter behavior

Series resonance in an RLC circuit happens when the inductor, capacitor, and resistor are connected in series. At the resonant frequency, the inductive reactance and capacitive reactance are equal in size but opposite in sign, so they cancel each other. As a result, the circuit impedance becomes very small and is mainly set by the resistance.

The resonant frequency of a series RLC circuit can be calculated from its inductance and capacitance. At this frequency, the current reaches its maximum value. Because power loss in the resistor depends on the square of the current, the power dissipated in the resistor is also highest at resonance.

Bandwidth describes the range of frequencies over which the power falls to half of its maximum value. These are the half-power frequencies, where the current drops to about 70.7% of its peak value. The bandwidth is found by subtracting the lower half-power frequency from the higher one.

At resonance, reactive power does not turn into heat. Instead, it moves back and forth between the inductor and the capacitor. The resistor is where real power is dissipated. The quality factor, or Q factor, compares the maximum energy stored in the circuit with the energy lost each cycle.

This behavior is useful in radio transmitters and similar systems. A higher-Q RLC filter can separate a desired signal from nearby frequency noise more effectively. The trade-off is a narrower bandwidth, which can limit use in systems that need a wider frequency range. In this way, a series resonant circuit works as a band-pass filter that favors one frequency range over others.

Series Resonance and RLC Filter Behavior

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series resonance

Series Resonance in RLC Circuits

Series resonance in an RLC circuit happens when the inductive reactance and capacitive reactance are equal. An RLC circuit contains a resistor, an inductor, and a capacitor. The impedance of the circuit is the ratio of the supply voltage to the circuit current. At resonance, the imaginary part of the impedance becomes zero. The frequency at which this occurs is called the resonant frequency. It depends on the inductance (L) and capacitance (C) of the circuit. Mathematically, the resonant...

characteristics of series resonant circuit

Series resonance in an RLC circuit happens when the inductor, capacitor, and resistor are connected in series. At the resonant frequency, the inductive reactance and capacitive reactance are equal in size but opposite in sign, so they cancel each other. As a result, the circuit impedance becomes very small and is mainly set by the resistance. The resonant frequency of a series RLC circuit can be calculated from its inductance and capacitance. At this frequency, the current reaches its maximum...

parallel resonance

Parallel RLC Tuning at Resonance

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key terms and concepts

Learn how series resonance in an RLC circuit creates maximum current, minimum impedance, bandwidth limits, and filter behavior used in radio systems.

Series Resonance and RLC Filter Behavior | 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

Series Resonance and RLC Filter Behavior

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