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Related Concept Videos

The Hall Effect01:30

The Hall Effect

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Edwin H. Hall, in the year 1879, devised an experiment that could be used to identify the polarity of the predominant charge carriers in a conducting material. From a historical perspective, this experiment was the first to demonstrate that the charge carriers in most metals are negative.
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Magnetic Fields01:27

Magnetic Fields

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A moving charge or a current creates a magnetic field in the surrounding space, in addition to its electric field. The magnetic field exerts a force on any other moving charge or current that is present in the field. Like an electric field, the magnetic field is also a vector field. At any position, the direction of the magnetic field is defined as the direction in which the north pole of a compass needle points.
A magnetic field is defined by the force that a charged particle experiences...
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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 A Thin Straight Wire01:28

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Consider an infinitely long straight wire carrying a current I. The magnetic field at point P at a distance a from the origin can be calculated using the Biot-Savart law.
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Magnetic Field due to Moving Charges01:23

Magnetic Field due to Moving Charges

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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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Magnetic Field Due to Two Straight Wires01:18

Magnetic Field Due to Two Straight Wires

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Consider two parallel straight wires carrying a current of 10 A and 20 A in the same direction and separated by a distance of 20 cm. Calculate the magnetic field at a point "P2", midway between the wires. Also, evaluate the magnetic field when the direction of the current is reversed in the second wire.
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Advanced Experimental Methods for Low-temperature Magnetotransport Measurement of Novel Materials
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A nonlinear, geometric Hall effect without magnetic field.

Nicholas B Schade1,2,3, David I Schuster4,2, Sidney R Nagel4,2,3

  • 1Department of Physics, The University of Chicago, Chicago, IL 60637; nschade@uchicago.edu.

Proceedings of the National Academy of Sciences of the United States of America
|November 20, 2019
PubMed
Summary
This summary is machine-generated.

Researchers developed a geometry-based method to measure charge-carrier properties without a magnetic field. This new technique uses curved paths to create measurable transverse potentials, offering insights into material characteristics.

Keywords:
Hall effectgraphenesurface chargetransverse potential

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Electrical Engineering

Background:

  • The classical Hall effect traditionally determines charge-carrier properties using a magnetic field.
  • This method is crucial for understanding conductor behavior and material characterization.

Purpose of the Study:

  • To demonstrate a novel method for measuring charge-carrier sign and density without a magnetic field.
  • To explore the use of geometric configurations to induce measurable transverse potentials.

Main Methods:

  • Utilizing curved conductive paths to generate transverse potentials.
  • Experimentally measuring these potentials in curved and straight wires.
  • Analyzing potential polarity and fluctuations to infer carrier properties and current flow.

Main Results:

  • Transverse potentials were successfully generated along curved paths without a magnetic field.
  • These potentials accurately reflected the charge-carrier sign and density, consistent with material doping.
  • In straight wires, random potential fluctuations indicated complex, inhomogeneous current flow.

Conclusions:

  • Geometric manipulation offers a viable, magnetic-field-free alternative to the Hall effect for characterizing charge carriers.
  • This geometrically induced potential provides a sensitive tool for analyzing inhomogeneous current flow in thin films.