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Related Concept Videos

Parallel Resonance01:23

Parallel Resonance

273
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:
273
Design Example: Underdamped Parallel RLC Circuit01:17

Design Example: Underdamped Parallel RLC Circuit

376
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...
376
Characteristics of Series Resonant Circuit01:24

Characteristics of Series Resonant Circuit

318
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:
318
Series Resonance01:17

Series Resonance

255
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...
255
Oscillations In An LC Circuit01:30

Oscillations In An LC Circuit

2.5K
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
2.5K
Parallel RLC Circuits01:14

Parallel RLC Circuits

1.0K
Street lamps equipped with RLC surge protectors are an excellent example of applying circuit analysis in practical scenarios. These surge protectors safeguard the lamp's components against sudden voltage spikes.
A simplified parallel RLC circuit model with a DC input source generating a step response is employed in this context. When the switch is turned on, Kirchhoff's current law is applied, leading to a second-order differential equation.
1.0K

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Fabrication and Characterization of Superconducting Resonators
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A Miniaturized FSS Using the Parallel LC Resonant with Angular Stability.

Chao Sun1, Guangyi Heng2, Yuhang Zou2

  • 1The National Key Laboratory of Complex Aviation System Simulation, Southeast China Institute of Electronic Technology, Chengdu 610036, China.

Sensors (Basel, Switzerland)
|August 28, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces a compact, symmetrical frequency-selective surface (FSS) using LC parallel resonance. The optimized design enhances transmission efficiency for base stations, even at large angles.

Keywords:
LC resonatorequivalent circuitsfrequency-selective surface

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Area of Science:

  • Electromagnetics and Applied Physics
  • Materials Science and Engineering

Background:

  • Frequency-selective surfaces (FSS) are crucial for filtering electromagnetic waves.
  • Optimizing FSS for miniaturization, large-angle performance, and multi-band compatibility remains a challenge.

Purpose of the Study:

  • To design and validate a highly symmetrical, miniaturized FSS with enhanced high-frequency passband characteristics.
  • To improve transmission efficiency under large-angle incidence for base station applications.

Main Methods:

  • Utilized LC parallel resonance and meandered design optimization for miniaturization.
  • Employed cell bending techniques and structural manipulation of effective capacitance.
  • Investigated co-planar and hetero-planar configurations for resonance frequency shifting.

Main Results:

  • Achieved reflection and transmission peaks at approximately 1.56 GHz and 1.94 GHz.
  • Shifted reflection resonance frequency beyond 0.7 GHz while maintaining passband stability.
  • Demonstrated stable transmission (gain reduction ≤ 1.2 dB) in the 1.71-2.2 GHz band for incidence angles up to 60°.

Conclusions:

  • The proposed single-layer FSS offers a compact footprint (0.134λ × 0.134λ) and simple structure.
  • The FSS exhibits stable angular response and enhanced single-polarization characteristics.
  • The design shows significant potential for multi-band compatible and spatially efficient base station applications.