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Design Example: Capacitance Multiplier Circuit01:20

Design Example: Capacitance Multiplier Circuit

953
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.
953
Capacitors01:15

Capacitors

528
Capacitors play a crucial role in car radios, where they filter and store frequencies to ensure clear signal reception. Essentially serving as energy storage devices, capacitors store energy within their electric field and are composed of two parallel conducting plates separated by a dielectric.
When a voltage source is connected to a capacitor, positive and negative charges accumulate on the opposite plates. This accumulation generates a potential difference that equals the product of the...
528
MOS Capacitor01:25

MOS Capacitor

958
A Metal-Oxide-Semiconductor (MOS) capacitor is a fundamental structure used extensively in semiconductor device technology, particularly in the fabrication of integrated circuits and MOSFETs (metal-oxide-semiconductor field-effect transistors). The MOS capacitor consists of three layers: a metal gate, a dielectric oxide, and a semiconductor substrate.
The metal gate is typically made from highly conductive materials such as aluminum or polysilicon. Beneath the metal gate lies a thin layer of...
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Equivalent Capacitance01:19

Equivalent Capacitance

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Multiple capacitors can be connected in a circuit in series or parallel configuration. When the capacitor combination is connected to a battery, the potential drop across each capacitor and the magnitude of charge stored in the individual capacitor depends on the type of the connection. The capacitor combination is replaced by a single equivalent capacitor that stores the same amount of charge as the combination for a given potential difference.
The following strategies are adopted to calculate...
1.5K
Clamper Circuit01:14

Clamper Circuit

567
A clamper circuit, also known as a DC restorer, represents a specialized variant of the rectifier circuit, notable for its method of taking the output across the diode rather than the capacitor. This configuration lends to several distinctive applications, particularly in handling square wave inputs.
Within this circuit, the diode's orientation prompts the capacitor to charge up to the level of the most negative peak of the input signal. Upon reaching this state, the diode ceases to...
567
Capacitors and Capacitance01:18

Capacitors and Capacitance

8.1K
A device consisting of two electrical conductors that are separated by a distance and used to store electrical charges is called a capacitor. The space between the conductors is either a vacuum or an insulating material, called a dielectric. Capacitors have many applications, ranging from filtering static from radio reception to energy storage in heart defibrillators.
When the conductors are two identical parallel plates, it is called a parallel plate capacitor. When battery terminals are...
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Related Experiment Video

Updated: Sep 10, 2025

Scanning-probe Single-electron Capacitance Spectroscopy
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Scanning-probe Single-electron Capacitance Spectroscopy

Published on: July 30, 2013

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Elastic Amplification from Negative Capacitance.

Mónica Graf1,2, Natalya S Fedorova1, Hugo Aramberri1

  • 1Luxembourg Institute of Science and Technology (LIST), Smart Materials Unit, Avenue des Hauts-Fourneaux 5, L-4362 Esch/Alzette, Luxembourg.

Physical Review Letters
|August 27, 2025
PubMed
Summary

Ferroelectric negative capacitance in heterostructures amplifies voltage and enhances the elastic response of adjacent dielectrics. This "elastic amplification" could be an experimental marker for negative capacitance and useful for low-power actuators.

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Solid State Chemistry

Background:

  • Ferroelectric materials exhibit negative capacitance under specific electric boundary conditions, opposing applied bias.
  • This negative capacitance effect, when integrated into heterostructures, can induce voltage amplification in adjacent materials.
  • Such voltage amplification is theoretically predicted to be accompanied by an enhanced elastic response in nonpolar dielectric layers.

Purpose of the Study:

  • To investigate the elastic effects accompanying negative capacitance in ferroelectric/dielectric superlattices.
  • To demonstrate the link between voltage amplification and enhanced electrostriction in dielectric layers.
  • To explore the potential of this phenomenon as an experimental indicator for negative capacitance and for developing novel electromechanical devices.

Main Methods:

  • Atomistic simulations were employed to model lead titanate/strontium titanate (PbTiO3/SrTiO3) ferroelectric/dielectric superlattices.
  • The simulations focused on systems exhibiting negative capacitance behavior.
  • Analysis centered on quantifying the elastic response of the dielectric layers and its correlation with voltage amplification.

Main Results:

  • Atomistic simulations confirmed an enhanced elastic (electrostrictive) response in the dielectric layers of the studied superlattices.
  • This enhanced elastic response was found to be directly linked to the voltage amplification effect arising from negative capacitance.
  • The study validates the concept of "elastic amplification" in these heterostructures.

Conclusions:

  • The phenomenon of "elastic amplification" in ferroelectric/dielectric heterostructures is experimentally verifiable and linked to negative capacitance.
  • This elastic amplification can serve as a practical experimental fingerprint for identifying negative capacitance.
  • The findings suggest potential applications in low-power electromechanical actuators and devices.