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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:

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:

LC Circuits

LC Circuits

An LC circuit consists of an inductor and a capacitor, either in series or parallel. Consider a charged capacitor connected with an inductor in series. Before the switch is closed, all the energy of the circuit is stored in the electric field of the capacitor. When the switch is closed, the capacitor begins to discharge, producing a current in the circuit. The current, in turn, creates a magnetic field in the inductor. Because of the induced emf in the inductor, the current cannot change...

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...

Oscillations In An LC Circuit

Oscillations In An LC Circuit

An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by

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...

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Simulation, Fabrication and Characterization of THz Metamaterial Absorbers

Simulation, Fabrication and Characterization of THz Metamaterial Absorbers

Published on: December 27, 2012

Compact electric-LC resonators for metamaterials.

Withawat Withayachumnankul¹, Christophe Fumeaux, Derek Abbott

¹School of Electrical & Electronic Engineering, University of Adelaide, SA 5005, Australia. withawat@eleceng.adelaide.edu.au

|December 18, 2010

Summary

Adding an interdigital capacitor (IDC) to electric-LC (ELC) resonators reduces their size and improves metamaterial homogeneity. This design enhances electromagnetic response and minimizes diffraction effects for microwave applications.

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Published on: March 23, 2017

Area of Science:

Metamaterials
Electromagnetics
Resonator Design

Background:

Electric-LC (ELC) resonators are key metamaterial inclusions.
Standard ELC resonators can be limited by size and diffraction effects.

Purpose of the Study:

To investigate alternative designs for ELC resonators.
To enhance the homogeneity and reduce the electrical size of metamaterials.
To explore the impact of interdigital capacitors (IDC) on ELC resonator properties.

Main Methods:

Simulations and experimental investigations in the microwave regime.
Incorporation of interdigital capacitors (IDC) into ELC resonator structures.
Analysis of electromagnetic response and electrical size at resonance.

Main Results:

Interdigital capacitor loading increases capacitance, lowering resonance frequency.
Resulting ELC resonators exhibit reduced electrical size.
Metamaterials composed of IDC-loaded ELC resonators show improved homogeneity.
Reduced influence of individual cell diffraction effects observed.

Conclusions:

IDC-loaded ELC resonators offer a viable design for smaller, more homogeneous metamaterials.
The enhanced structures are suitable for microwave applications.
Scalability to terahertz and infrared regimes is possible through lithographic methods.