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Related Concept Videos

Magnetic Field due to Moving Charges01:23

Magnetic Field due to Moving Charges

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...
Potential Due to a Magnetized Object01:24

Potential Due to a Magnetized Object

Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs in the direction of the magnetic field. However, the dipoles align opposite to the field in the case of diamagnets. This state of magnetic polarization due to the external field is called magnetization. Magnetization is defined as the dipole moment per unit volume. It plays a similar role to polarization in electrostatics.
The vector...
Motion Of A Charged Particle In A Magnetic Field01:22

Motion Of A Charged Particle In A Magnetic Field

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...
Motional Emf01:22

Motional Emf

Magnetic flux depends on three factors: the strength of the magnetic field, the area through which the field lines pass, and the field's orientation with respect to the surface area. If any of these quantities vary, a corresponding variation in magnetic flux occurs. If the area through which the magnetic field lines are passing changes, then the magnetic flux also changes. This change in the area can be of two types: the flux through the rectangular loop increases as it moves into the magnetic...
Magnetic Fields01:27

Magnetic Fields

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...
Electric Field of Two Equal and Opposite Charges01:30

Electric Field of Two Equal and Opposite Charges

Atoms generally contain the same number of positively and negatively charged particles, protons, and electrons. Hence, they are electrically neutral. However, the centers of the positive and negative charges do not always coincide. In such a scenario, the electric field of an atom may not be zero.
A separation of the positive and negative charges can lead to a weak, remnant effect of the positive and negative charges. The expectation is that the more the distance between the positive and...

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Magnetically Controlled Two-Dimensional Charge Transport in Repulsive Nanostructured Potentials.

Orion Ciftja1, Cleo L Bentley1

  • 1Department of Physics, Prairie View A&M University, Prairie View, TX 77446, USA.

Nanomaterials (Basel, Switzerland)
|June 11, 2026
PubMed
Summary

We analyzed charged particle motion with repulsive potential and magnetic fields, revealing complex trajectories like spiraling and escape. This work aids in understanding and controlling charge carriers in nanomaterials.

Keywords:
charge transportcyclotron motionmagnetic confinementnanomaterials and devicesnanostructured potential

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Area of Science:

  • Physics
  • Nanotechnology
  • Materials Science

Background:

  • Charged particle dynamics are crucial for nanoscale transport and confinement.
  • Understanding particle behavior in low-dimensional systems requires analyzing interactions with potentials and fields.
  • Repulsive potentials and magnetic fields create complex interactions relevant to nanodevices.

Purpose of the Study:

  • To investigate the planar dynamics of a charged particle under a repulsive inverted harmonic potential and a perpendicular magnetic field.
  • To analytically solve the equations of motion and classify the resulting particle trajectories.
  • To provide insights into charge carrier behavior in nanostructured environments and offer a classical analogue for magnetic confinement.

Main Methods:

  • Analytical solution of coupled differential equations of motion.
  • Classification of particle trajectories based on system parameters.
  • Modeling of charged particle behavior in a specific potential and magnetic field configuration.

Main Results:

  • Rich trajectory behavior observed, including spiraling, unbounded escape, and quasi-confined motion.
  • Trajectories are dependent on system parameters, indicating tunable dynamics.
  • Analytical solutions provide a clear description of particle movement.

Conclusions:

  • The study offers a theoretical framework for understanding charge carrier dynamics in nanostructured systems.
  • The model serves as a classical analogue for magnetic confinement in unstable regimes.
  • Results contribute to the design and control of charged particle motion in nanomaterials and devices.