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Magnetic Force01:18

Magnetic Force

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In addition to the electric forces between electric charges, moving electric charges exert magnetic forces on each other. A magnetic field is created by a moving charge or a group of moving charges known as the electric current. A magnetic force is experienced by a second current or moving charge in response to this magnetic field. Fundamentally, interactions between moving electrons in the atoms of two bodies produce magnetic forces between them.
The magnetic force acting on a moving charge...
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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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Comparison Between Electrical And Gravitational Forces01:24

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There are four fundamental forces in nature: the gravitational force, the electromagnetic force, the strong nuclear force, and the weak nuclear force. To compare the numerical strengths of the first two, take two particles of the same kind. Since electrons are fundamental particles, they are a good example.
Since both are inverse square law forces, the distance gets canceled when the ratio of the two forces is considered. Instead, the ratio of the electrical and gravitational forces depends on...
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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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Magnetostatic Boundary Conditions01:28

Magnetostatic Boundary Conditions

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An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
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Potential Due to a Magnetized Object01:24

Potential Due to a Magnetized Object

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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...
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Related Experiment Video

Updated: Nov 7, 2025

High-Speed Magnetic Tweezers for Nanomechanical Measurements on Force-Sensitive Elements
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High-Speed Magnetic Tweezers for Nanomechanical Measurements on Force-Sensitive Elements

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Gravitomagnetic Stern-Gerlach Force.

Bahram Mashhoon1,2

  • 1Department of Physics and Astronomy, University of Missouri, Columbia, MO 65211, USA.

Entropy (Basel, Switzerland)
|April 30, 2021
PubMed
Summary
This summary is machine-generated.

This study describes spin-rotation-gravity coupling and its gravitomagnetic Stern-Gerlach force. It demonstrates this force simplifies to the Mathisson spin-curvature force in linearized general relativity.

Keywords:
spin-gravity couplingspin-vorticity coupling

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Area of Science:

  • Theoretical physics
  • Gravitational physics
  • Quantum mechanics

Background:

  • Spin-rotation-gravity coupling is a complex phenomenon.
  • The gravitomagnetic Stern-Gerlach force has theoretical implications.
  • Understanding these forces is crucial for unifying gravity and quantum mechanics.

Purpose of the Study:

  • To provide a heuristic description of spin-rotation-gravity coupling.
  • To explore the implications of the gravitomagnetic Stern-Gerlach force.
  • To connect general relativity with spin dynamics.

Main Methods:

  • Utilizing a heuristic approach for spin-rotation-gravity coupling.
  • Employing the framework of linearized general relativity.
  • Analyzing the correspondence limit of the gravitomagnetic force.

Main Results:

  • A heuristic description of spin-rotation-gravity coupling is presented.
  • The implications of the gravitomagnetic Stern-Gerlach force are discussed.
  • The gravitomagnetic Stern-Gerlach force reduces to the Mathisson spin-curvature force in the appropriate correspondence limit.

Conclusions:

  • The study establishes a link between the gravitomagnetic Stern-Gerlach force and the classical Mathisson spin-curvature force.
  • This work contributes to understanding spin dynamics in gravitational fields.
  • The findings are relevant for theoretical physics and the study of gravity.