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Related Concept Videos

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
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
Induced Electric Fields: Applications01:27

Induced Electric Fields: Applications

2.7K
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...
2.7K
Magnetic Field Lines01:19

Magnetic Field Lines

5.4K
The representation of magnetic fields by magnetic field lines is very useful in visualizing the strength and direction of the magnetic field. Each of the magnetic field lines forms a closed loop. The field lines emerge from the north pole (N), loop around to the south pole (S), and continue through the bar magnet back to the north pole.
Magnetic field lines follow several hard-and-fast rules:
5.4K
Faraday Disk Dynamo01:23

Faraday Disk Dynamo

3.9K
A Faraday disk dynamo is a DC generator, producing an emf that is constant in time. It consists of a conducting disk that rotates with a constant angular velocity in the magnetic field, perpendicular to the disk's plane. The rotation of the disk causes a change in magnetic flux, which induces an emf, causing opposite charges to develop on the rim and in the center of the disk. The polarity of the induced emf can be determined by the direction of the magnetic field and the direction of the...
3.9K
Magnetic Damping01:17

Magnetic Damping

1.3K
Eddy currents can produce significant drag on motion, called magnetic damping. For instance, when a metallic pendulum bob swings between the poles of a strong magnet, significant drag acts on the bob as it enters and leaves the field, quickly damping the motion.
If, however, the bob is a slotted metal plate, the magnet produces a much smaller effect. When a slotted metal plate enters the field, an emf is induced by the change in flux; however, it is less effective because the slots limit the...
1.3K

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Related Experiment Video

Updated: May 4, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
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Magnetically Induced Rotating Rayleigh-Taylor Instability

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Magnetic field induced dynamical chaos.

Somrita Ray1, Alendu Baura1, Bidhan Chandra Bag1

  • 1Department of Chemistry, Visva-Bharati, Santiniketan 731 235, India.

Chaos (Woodbury, N.Y.)
|January 7, 2014
PubMed
Summary

A charged particle

Area of Science:

  • Classical mechanics
  • Chaos theory
  • Electromagnetism

Background:

  • Charged particle motion in magnetic fields is fundamental in physics.
  • Nonlinear potentials can lead to complex dynamical behaviors.
  • Understanding chaos is crucial for predicting particle trajectories.

Purpose of the Study:

  • To investigate the conditions under which a charged particle's motion becomes chaotic in a magnetic field.
  • To explore the role of nonlinear potentials and time-dependent magnetic fields in inducing chaos.
  • To analyze the origin of chaotic dynamics using Hamiltonian mechanics.

Main Methods:

  • Simulating the motion of a charged particle in the x-y plane.
  • Applying a two-dimensional nonlinear potential.

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Last Updated: May 4, 2026

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  • Utilizing a constant and time-dependent magnetic field.
  • Analyzing the system's Hamiltonian in action-angle variables.

    • Main Results:

    • Dynamical chaos can be induced by a constant magnetic field, even with a simple potential.
    • Time-dependent magnetic fields significantly increase the likelihood of chaotic dynamics.
    • The origin of chaos was explored through Hamiltonian analysis.

    Conclusions:

    • The study demonstrates that chaotic dynamics are achievable for charged particles in magnetic fields under specific conditions.
    • Time-dependent fields are a key factor in promoting chaos.
    • The Hamiltonian framework provides insights into the mechanisms driving chaotic behavior.