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Related Concept Videos

Dielectric Polarization in a Capacitor01:31

Dielectric Polarization in a Capacitor

The presence of a dielectric medium in a capacitor not only changes the voltage and capacitance but also affects the electric field. In general, dielectrics can be of two types: polar and nonpolar. In a polar dielectric, the positive and negative charges in the molecules are separated by a distance and hence have a permanent dipole moment. In contrast, no such charge separation exists in a nonpolar dielectric, however the nonpolar molecules get polarized in the presence of an external electric...
Energy Stored in a Capacitor01:12

Energy Stored in a Capacitor

When an archer pulls the string in a bow, he saves the work done in the form of elastic potential energy. When he releases the string, the potential energy is released as kinetic energy of the arrow. A capacitor works on the same principle in which the work done is saved as electric potential energy. The potential energy (UC) could be calculated by measuring the work done (W) to charge the capacitor.
Equivalent Capacitance01:19

Equivalent Capacitance

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...
Equivalent Capacitance01:19

Equivalent Capacitance

From the study of resistive circuits, it is understood that employing a series-parallel combination serves as an effective strategy for simplifying circuits. Capacitors can be arranged within a circuit in one of two ways: a series configuration or a parallel configuration. The way these capacitors are connected to a battery will influence both the potential drop across each individual capacitor and the size of the charge that each capacitor can store. This is determined by the specific type of...
Capacitors and Capacitance01:18

Capacitors and Capacitance

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...
Energy Stored in Capacitors01:10

Energy Stored in Capacitors

A parallel plate capacitor, when connected to a battery, develops a potential difference across its plates. This potential difference is key to the operation of the capacitor, as it determines how much electrical energy the capacitor can store.
By integrating the equation that relates voltage and current in a capacitor, one can derive an equation for the voltage across the capacitor at any given time. This equation is crucial in understanding and predicting the behavior of capacitors in...

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Related Experiment Video

Updated: Jul 6, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Quantized dynamics of a coherent capacitor.

M Moskalets1, P Samuelsson, M Büttiker

  • 1Département de Physique Théorique, Université de Genève, CH-1211 Genève 4, Switzerland.

Physical Review Letters
|March 21, 2008
PubMed
Summary
This summary is machine-generated.

A quantum coherent capacitor emits single electrons with GHz pulse cycles. This study develops a theory to analyze current accuracy and noise for this fast electron source, crucial for scientific and metrological applications.

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Last Updated: Jul 6, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Scanning-probe Single-electron Capacitance Spectroscopy
10:53

Scanning-probe Single-electron Capacitance Spectroscopy

Published on: July 30, 2013

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Area of Science:

  • Quantum electronics
  • Single-electron sources
  • Nonlinear dynamics

Background:

  • Quantum coherent capacitors can emit/reabsorb single electrons per pulse cycle.
  • Experimentally demonstrated GHz quantized currents.

Purpose of the Study:

  • Develop a nonlinear dynamical scattering theory for arbitrary pulses.
  • Describe properties of a very fast single electron source.
  • Analyze current quantization accuracy and noise.

Main Methods:

  • Nonlinear dynamical scattering theory.
  • Analysis of arbitrary pulse shapes.
  • Investigation of quantized current properties.

Main Results:

  • Theoretical framework for single-electron emission/reabsorption.
  • Analysis of current quantization accuracy.
  • Investigation of source noise characteristics.

Conclusions:

  • The developed theory accurately describes fast single-electron sources.
  • Results are vital for future scientific and metrological applications.
  • Provides insights into quantized current behavior and noise.