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Related Concept Videos

Induced Electric Fields01:23

Induced Electric Fields

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The fact that emfs are induced in circuits implies that work is being done on the conduction electrons in the wires. What can possibly be the source of this work? We know that it’s neither a battery nor a magnetic field, as a battery does not have to be present in a circuit where current is induced, and magnetic fields never do any work on moving charges. The source of the work is in fact an electric field that is induced in the wires. For example, if a stationary conductor is placed in a...
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Induced Electric Fields: Applications01:27

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An important distinction exists between the electric field induced by a changing magnetic field and the electrostatic field produced by a fixed charge distribution. Specifically, the induced electric field is nonconservative because it does not work in moving a charge over a closed path. In contrast, the electrostatic field is conservative and does no net work over a closed path. Hence, electric potential can be associated with the electrostatic field but not the induced field. The following...
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Induced Electric Dipoles01:28

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A permanent electric dipole orients itself along an external electric field. This rotation can be quantified by defining the potential energy because the external torque does work in rotating it. Then, the potential energy is minimum at the parallel configuration and maximum at the antiparallel configuration. While the former is a stable equilibrium, the latter is an unstable equilibrium.
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Electric Field at the Surface of a Conductor01:26

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Consider a conductor in electrostatic equilibrium. The net electric field inside a conductor vanishes, and extra charges on the conductor reside on its outer surface, regardless of where they originate.
In the 19th century, Michael Faraday conducted the famous ice pail experiment to prove that the charges always reside on the surface of a conductor. The experimental set-up consists of a conducting uncharged container mounted on an insulating stand. The outer surface of the container is...
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Magnetic Field Of A Current Loop01:16

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Consider a circular loop with a radius a, that carries a current I. The magnetic field due to the current at an arbitrary point P along the axis of the loop can be calculated using the Biot-Savart law.
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Magnetic Field due to Moving Charges01:23

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A stationary charge creates and interacts with the electric field, while a moving charge creates a magnetic field.
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...
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Related Experiment Video

Updated: Nov 29, 2025

Fabrication of Gate-tunable Graphene Devices for Scanning Tunneling Microscopy Studies with Coulomb Impurities
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Fluctuation-induced current from freestanding graphene.

P M Thibado1, P Kumar1, Surendra Singh1

  • 1Department of Physics, University of Arkansas, Fayetteville, Arkansas 72701, USA.

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|November 20, 2020
PubMed
Summary
This summary is machine-generated.

Freestanding graphene sheets exhibit constant motion, generating usable power. An Ito-Langevin model explains this phenomenon, showing power output equals thermal bath input, enhanced by diode dynamics.

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Area of Science:

  • Physics
  • Materials Science
  • Nanotechnology

Background:

  • Micron-sized freestanding graphene sheets exhibit continuous motion at room temperature, even with applied bias.
  • Understanding and quantifying this motion is crucial for potential energy harvesting applications.

Purpose of the Study:

  • To quantify the out-of-plane motion of graphene sheets.
  • To develop a theoretical model for graphene motion coupled to an electrical circuit.
  • To analyze the power generation and dissipation dynamics of the system.

Main Methods:

  • Displacement current measurement using a nearby small-area metal electrode.
  • Development of an Ito-Langevin model for graphene motion coupled to a diode circuit.
  • Numerical simulations to analyze system equilibrium and power characteristics.
  • Asymptotic and numerical calculations of equilibrium average power.

Main Results:

  • The graphene motion system reaches thermal equilibrium, with heat and work rates approaching zero.
  • Power is dissipated by a load resistor, with its time average equaling power from the thermal bath.
  • Diode resistance rate of change significantly boosts output power.
  • Graphene movement shifts the power spectrum to lower frequencies.

Conclusions:

  • The study presents a validated Ito-Langevin model for graphene motion and power generation.
  • The system demonstrates a novel mechanism for energy harvesting from thermal fluctuations.
  • Experimental results show excellent agreement with theoretical predictions, validating the model.