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Parallel RLC Circuits

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Electrical Systems

Electrical Systems

In electrical engineering, the analysis of networks composed of passive linear components — resistors (R), capacitors (C), and inductors (L) — is fundamental. These components are organized into circuits where the relationship between input and output can be analyzed using transfer functions. The transfer function of an RLC circuit, which relates the voltage across a capacitor to the input voltage, can be derived using Kirchhoff's laws.
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Related Experiment Video

Updated: May 16, 2026

Modeling Biological Membranes with Circuit Boards and Measuring Electrical Signals in Axons: Student Laboratory Exercises

Modeling Biological Membranes with Circuit Boards and Measuring Electrical Signals in Axons: Student Laboratory Exercises

Published on: January 18, 2011

A dc carpet cloak based on resistor networks.

Zhong Lei Mei¹, Yu Sha Liu, Fan Yang

¹School of Information Science and Engineering, Lanzhou University, Lanzhou 730000, China. meizl@lzu.edu.cn

|November 29, 2012

Summary

Researchers demonstrate the first experimental dc carpet cloak for steady electric fields. This transformation optics device uses a resistor network, validating theoretical predictions and expanding cloaking applications.

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Published on: February 14, 2025

Area of Science:

Electromagnetism
Materials Science
Optics

Background:

Transformation Optics (TO) theory enables the design of materials with exotic electromagnetic properties.
Cloaking devices aim to render objects undetectable by manipulating wave propagation.
Previous demonstrations of TO have primarily focused on dynamic fields, with limited experimental verification for static fields.

Purpose of the Study:

To propose, design, and implement a two-dimensional direct current (dc) carpet cloak for steady electric fields.
To experimentally verify the feasibility of a dc carpet cloak based on Transformation Optics.
To explore the application of circuit theory in realizing anisotropic conducting media for cloaking.

Main Methods:

Utilized the Transformation Optics (TO) method to derive the required material parameters for the cloak.
Employed circuit theory to design a resistor network mimicking the anisotropic conducting medium.
Fabricated a two-dimensional prototype using metal film resistors for experimental validation.

Main Results:

The designed dc carpet cloak successfully concealed objects from steady electric fields.
Experimental measurements showed excellent agreement with theoretical predictions.
The resistor network effectively mimicked the anisotropic conducting medium required by TO.

Conclusions:

This study presents the first experimental verification of a dc carpet cloak.
The successful implementation validates the application of TO theory to static fields.
The findings open avenues for potential applications in areas requiring manipulation of static electric fields.