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Magnetic Fields01:27

Magnetic Fields

6.0K
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...
6.0K
Motion Of A Charged Particle In A Magnetic Field01:22

Motion Of A Charged Particle In A Magnetic Field

6.6K
A charged particle experiences a force when moving through a magnetic field. Consider the field to be uniform and the charged particle to move perpendicular to it. If the field is in a vacuum, the magnetic field is the dominant factor determining the motion. Since the magnetic force is perpendicular to the direction of motion, a charged particle follows a curved path. The particle continues to follow this curved path until it forms a complete circle. Another way to look at this is that the...
6.6K
The Hall Effect01:30

The Hall Effect

5.2K
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.
5.2K
Electric Field of a Charged Disk01:23

Electric Field of a Charged Disk

3.1K
The simplest case of a surface charge distribution is the uniformly charged disk. Calculating its electric field also helps us calculate the electric field of a large plane of charge.
The system's symmetry is in the cylindrical directions across the plane of the charge. As a result, the electric fields created by various surface charge elements nullify each other in the direction parallel to the surface. Thereby, the resulting electric field is perpendicular to the plane. Since the disk is...
3.1K
Magnetic Field due to Moving Charges01:23

Magnetic Field due to Moving Charges

11.3K
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...
11.3K
Ampere-Maxwell's Law: Problem-Solving01:17

Ampere-Maxwell's Law: Problem-Solving

1.4K
A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of the...
1.4K

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Related Experiment Video

Updated: May 5, 2026

Advanced Experimental Methods for Low-temperature Magnetotransport Measurement of Novel Materials
10:36

Advanced Experimental Methods for Low-temperature Magnetotransport Measurement of Novel Materials

Published on: January 21, 2016

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Maxwellian Distribution-Based Hall Transport Coefficients for Charged Particles in Magnetic Disk Array.

Linlin An1, Peifeng Fan2

  • 1School of Physics, Hefei University of Technology, Hefei 230009, China.

Entropy (Basel, Switzerland)
|March 28, 2025
PubMed
Summary

This study investigates Hall transport in magnetic disk arrays using anisotropic models. Findings reveal key transport coefficients, enhancing understanding of charged particle dynamics in such systems.

Keywords:
Hall transportMaxwellian distributionmagnetic disk array

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Area of Science:

  • Condensed Matter Physics
  • Plasma Physics
  • Statistical Mechanics

Background:

  • Prior research established transport coefficients for magnetic disk arrays (MDAs) under isotropic conditions.
  • Hall transport phenomena are crucial for understanding charged particle dynamics in various systems.

Purpose of the Study:

  • To extend Hall transport studies in magnetic disk arrays to an anisotropic framework.
  • To calculate Hall diffusivity, electrical conductivity, and thermal Hall conductivity tensors.

Main Methods:

  • Utilized collision models similar to Lorentzian plasma.
  • Employed Fourier transformation and the local Maxwellian distribution function.
  • Adopted an anisotropic framework for calculations.

Main Results:

  • Derived expressions for Hall diffusivity, electrical conductivity, and thermal Hall conductivity tensors.
  • Quantified transport coefficients under anisotropic conditions.

Conclusions:

  • The study provides a deeper understanding of Hall transport in magnetic disk arrays.
  • Findings are applicable to chiral active systems and advanced plasma physics.