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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 Due to Two Straight Wires

Magnetic Field Due to Two Straight Wires

Consider two parallel straight wires carrying a current of 10 A and 20 A in the same direction and separated by a distance of 20 cm. Calculate the magnetic field at a point "P2", midway between the wires. Also, evaluate the magnetic field when the direction of the current is reversed in the second wire.

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.

Magnetic Force On Current-Carrying Wires: Example

Magnetic Force On Current-Carrying Wires: Example

In a magnetic field, moving charges encounter a force. If a wire contains these moving charges, i.e., if the wire is carrying a current, then a force acts on the wire as well. Consider a pair of flexible leads holding a wire that is 40 cm long and 10 g in weight in a horizontal position. The wire is placed in a constant magnetic field of 0.40 T, as shown in Figure 1(a). Determine the magnitude and direction of the current flowing in the wire needed to remove the tension in the supporting leads.

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 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:

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Related Experiment Video

Updated: Jul 1, 2026

Fabricating Metamaterials Using the Fiber Drawing Method

Fabricating Metamaterials Using the Fiber Drawing Method

Published on: October 18, 2012

Cut-wire-pair structures as two-dimensional magnetic metamaterials.

David A Powell¹, Ilya V Shadrivov, Yuri S Kivshar

¹Nonlinear Physics Center, Research School of Physical Sciences and Engineering, Australian National University, Canberra ACT 0200, Australia. david.a.powell@anu.edu.au

|September 17, 2008

Summary

This summary is machine-generated.

Researchers explored magnetic metamaterials using cut-wire pairs, not split-ring resonators. This novel 2D structure, suitable for optical frequencies, shows unique magnetic stop-band properties with transverse propagation.

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Area of Science:

Condensed Matter Physics
Materials Science
Electromagnetism

Background:

Traditional magnetic metamaterials often utilize split-ring resonators.
Scaling metamaterials to optical frequencies presents significant challenges.
Understanding inter-element coupling is crucial for metamaterial design.

Purpose of the Study:

To investigate magnetic metamaterials based on cut-wire pairs.
To develop a truly two-dimensional metamaterial structure.
To assess the suitability of this structure for optical frequencies.

Main Methods:

Numerical simulations of the cut-wire pair metamaterial.
Experimental fabrication of the metamaterial operating at microwave frequencies.
Comparison of simulation results with experimental data.

Main Results:

Fabricated cut-wire metamaterial shows good agreement with numerical simulations.
The two-dimensional structure is suitable for scaling to higher frequencies.
Nearest-neighbor coupling in cut-wire pairs creates a magnetic stop-band with transverse propagation, unlike split-ring resonator structures.

Conclusions:

Cut-wire pair metamaterials offer a viable alternative to split-ring resonators.
The developed 2D structure demonstrates potential for optical frequency applications.
The unique magnetic stop-band behavior highlights novel electromagnetic properties.