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Magnetic Fields

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...

Magnetic Field Lines

Magnetic Field Lines

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:

Magnetostatic Boundary Conditions

Magnetostatic Boundary Conditions

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...

Magnetic Field Of A Current Loop

Magnetic Field Of A Current Loop

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.

Magnetic Field Due To A Thin Straight Wire

Magnetic Field Due To A Thin Straight Wire

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.

Divergence and Curl of Magnetic Field

Divergence and Curl of Magnetic Field

The magnetic field due to a volume current distribution given by the Biot–Savart Law can be expressed as follows:

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Related Experiment Video

Updated: Dec 1, 2025

Optimizing Magnetic Force Microscopy Resolution and Sensitivity to Visualize Nanoscale Magnetic Domains

Optimizing Magnetic Force Microscopy Resolution and Sensitivity to Visualize Nanoscale Magnetic Domains

Published on: July 20, 2022

Tailoring Magnetic Fields in Inaccessible Regions.

Rosa Mach-Batlle^1,2, Mark G Bason³, Nuria Del-Valle¹

¹Departament de Física, Universitat Autònoma de Barcelona, Bellaterra 08193, Spain.

Physical Review Letters

|November 6, 2020

Summary

This summary is machine-generated.

Researchers developed a novel method using negative permeability to enhance magnetic fields in free space. This breakthrough allows for unprecedented magnetic field focusing and remote source cancellation, advancing magnetic technology applications.

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Area of Science:

Physics
Materials Science
Electromagnetism

Background:

Controlling magnetism is crucial for many technologies.
Current limitations prevent generating maximum magnetic fields in free space.

Purpose of the Study:

To propose and demonstrate a strategy to overcome limitations in magnetic field generation.
To achieve unprecedented focusing and remote cancellation of magnetic fields.

Main Methods:

Utilizing negative permeability.
Experimentally demonstrating an active magnetic metamaterial.
Emulating the magnetic field of a straight current wire.

Main Results:

Achieved unprecedented focusing of magnetic fields in empty space.
Enabled remote cancellation of magnetic sources.
Demonstrated an active magnetic metamaterial emulating a current wire field.

Conclusions:

The proposed strategy overcomes limitations in magnetic field control.
This work opens new possibilities for manipulating magnetic fields in inaccessible regions.