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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...

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:

Design Example: Capacitance Multiplier Circuit

Design Example: Capacitance Multiplier Circuit

In integrated circuit technology, a capacitance multiplier is often utilized to produce a larger capacitance value when a small physical capacitance falls short. This is achieved by a circuit that multiplies capacitance values by a factor of up to 1000, such that a 10-pF capacitor can replicate the performance of a 100-nF capacitor.
The circuit illustrated in Figure 1 below incorporates two op-amps, with the first operating as a voltage follower and the second acting as an inverting amplifier.

Design Example: Underdamped Parallel RLC Circuit

Design Example: Underdamped Parallel RLC Circuit

Consider designing an oscillator circuit, a crucial component in various electronic devices and systems. The objective is to create an oscillator circuit with specific characteristics: a damped natural frequency of 4 kHz and a damping factor of 4 radians per second. To accomplish this, a parallel RLC circuit is employed, known for its ability to sustain oscillations at a resonant frequency. In this case, the damping factor is pivotal in achieving the desired performance.
Starting with a fixed...

IR Absorption Frequency: Hybridization

IR Absorption Frequency: Hybridization

Hydrocarbons such as alkanes, alkenes, and alkynes show characteristic C–H stretching absorption bands. These IR stretching frequencies depend on the hybridization of the involved carbon atom and can be explained in terms of the s character of each hybridized atomic orbital.
Among the sp, sp2, and sp3 hybridized orbitals, sp orbitals have the maximum s character (50%). Consequently, the electrons are held more closely to the nucleus, resulting in stronger and shorter C–H bonds that...

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Related Experiment Video

Updated: Oct 17, 2025

Fabrication of Nanopillar-Based Split Ring Resonators for Displacement Current Mediated Resonances in Terahertz Metamaterials

Fabrication of Nanopillar-Based Split Ring Resonators for Displacement Current Mediated Resonances in Terahertz Metamaterials

Published on: March 23, 2017

Adjustable multichannel terahertz resonator.

Da Li, Jiu-Sheng Li

|October 6, 2021

Summary

This summary is machine-generated.

This study presents a novel terahertz device with tunable reflection peaks. The metal groove structure on a polymer substrate, with embedded graphene, offers adjustable control via external force and chemical potential.

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Last Updated: Oct 17, 2025

Fabrication of Nanopillar-Based Split Ring Resonators for Displacement Current Mediated Resonances in Terahertz Metamaterials

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Published on: March 23, 2017

Terahertz Microfluidic Sensing Using a Parallel-plate Waveguide Sensor

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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

Area of Science:

Physics
Materials Science
Electrical Engineering

Background:

Terahertz (THz) devices require versatile control methods for practical applications.
Existing THz devices often rely on simple external stimuli like electricity or magnetism.
Adjustable THz devices are crucial for advancing THz system functionalities.

Purpose of the Study:

To design and investigate a novel tunable terahertz resonator.
To explore the control of resonance performance using external force and graphene chemical potential.
To demonstrate a polarization-insensitive THz device with stable performance at various incident angles.

Main Methods:

Fabrication of a rectangular-ambulatory-plane metal groove structure on a polydimethylsiloxane (PDMS) substrate.
Embedding graphene within the metal grooves to enable tunable properties.
Characterization of the structure's terahertz resonance performance under varying external force and bias voltage.

Main Results:

Achieved three distinct electromagnetic-induced reflection peaks at 0.54, 0.60, and 0.63 THz with high reflectivity (89.6%, 77.1%, 75.7%).
Demonstrated free regulation of reflectivity for all three peaks by adjusting applied bias voltage and external force.
Confirmed polarization-insensitivity and stable terahertz reflection peaks up to 25° incident angles.

Conclusions:

The proposed terahertz device offers a promising approach for tunable resonance control.
The combination of metal grooves, PDMS substrate, and graphene provides versatile adjustability.
The device's robustness against polarization and incident angle variations enhances its practical applicability in terahertz systems.