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Resonance in an AC Circuit

Resonance in an AC Circuit

The property of an inductor makes it resist any change in the current passing through it, while the property of a capacitor is to build up the charge across its terminals. Hence, if an inductor and capacitor are connected in series, they have opposite effects on the relative phase between current and voltage. The current through the circuit undergoes forced oscillation at the frequency of the source. The resistance term in an R-L-C circuit acts as a damping term because power is dissipated...

Series Resonance

Series Resonance

The RLC circuit impedance is defined as the ratio of the supply voltage to the circuit current. Resonance in such a circuit occurs when the imaginary part of this impedance equals zero. This specific condition means that the inductive reactance is exactly equal to the capacitive reactance. The frequency at which this happens is known as the resonant frequency. Mathematically, the resonant frequency is inversely proportional to the square root of the product of the inductance (L) and capacitance...

Concept of Resonance and its Characteristics

Concept of Resonance and its Characteristics

If a driven oscillator needs to resonate at a specific frequency, then very light damping is required. An example of light damping includes playing piano strings and many other musical instruments. Conversely, to achieve small-amplitude oscillations as in a car's suspension system, heavy damping is required. Heavy damping reduces the amplitude, but the tradeoff is that the system responds at more frequencies. Speed bumps and gravel roads prove that even a car's suspension system is not immune...

Parallel Resonance

Parallel Resonance

The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:

Characteristics of Series Resonant Circuit

Characteristics of Series Resonant Circuit

Series resonance occurs in a circuit containing inductive (L), capacitive (C), and resistive (R) elements connected sequentially. At the resonance frequency, the inductive and capacitive reactances are equal in magnitude but opposite in sign, effectively canceling each other. This causes the circuit's impedance is minimal, primarily determined by the resistance R. The resonant frequency of an RLC circuit is defined as:

Energy Stored In A Coaxial Cable

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Related Experiment Video

Updated: Jun 24, 2026

New Framework for Understanding Cross-Brain Coherence in Functional Near-Infrared Spectroscopy (fNIRS) Hyperscanning Studies

New Framework for Understanding Cross-Brain Coherence in Functional Near-Infrared Spectroscopy (fNIRS) Hyperscanning Studies

Published on: October 6, 2023

Coherence resonance induced by rewiring in complex networks.

Mi Jiang¹, Ping Ma

¹Department of Physics, State Key Laboratory for Mesoscopic Physics, Peking University, Beijing, China.

Chaos (Woodbury, N.Y.)

|April 2, 2009

Summary

We discovered network-rewiring-induced coherence resonance in coupled FitzHugh-Nagumo elements. Dynamical rewiring in heterogeneous networks constructively induces coherent excitations through effective noise.

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Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems

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Area of Science:

Computational neuroscience
Complex systems dynamics

Background:

Coupled nonlinear oscillators, such as FitzHugh-Nagumo elements, are fundamental models in neuroscience and physics.
Heterogeneous networks introduce complexity, often leading to desynchronization or complex emergent behaviors.

Purpose of the Study:

To investigate a novel coherent excitation phenomenon in heterogeneous networks of coupled FitzHugh-Nagumo elements.
To explore the role of dynamical rewiring in achieving network coherence.
To identify and characterize a new form of resonance driven by network structure changes.

Main Methods:

Simulations of heterogeneous networks of coupled FitzHugh-Nagumo elements.
Analysis of network dynamics under varying rewiring time intervals.
Quantification of coherence using a coherence factor.

Main Results:

Demonstration of coherent excitations induced by dynamical rewiring.
Identification of a non-trivial coherence factor behavior as a function of rewiring time.
Characterization of this phenomenon as network-rewiring-induced coherence resonance.

Conclusions:

Dynamical rewiring can constructively promote coherent excitations in heterogeneous networks.
Network-rewiring-induced coherence resonance is a novel phenomenon driven by the interplay of network structure and dynamics.
The rewiring process acts as an effective noise source, enabling resonance.