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Related Concept Videos

Magnetic Field Due to Two Straight Wires01:18

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 Wire01:27

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.
Intensity Of Electromagnetic Waves01:22

Intensity Of Electromagnetic Waves

The energy transport per unit area per unit time, or the Poynting vector, gives the energy flux of an electromagnetic wave at any specific time. For a plane electromagnetic wave with E0 and B0 as the peak electric and magnetic fields and traveling along the x-axis, the time-varying energy flux can be given by the following equation:
Plane Electromagnetic Waves I01:30

Plane Electromagnetic Waves I

The existence of combined electric and magnetic fields that propagate through space as electromagnetic (EM) waves is the most significant prediction of Maxwell's equations. As Maxwell's equations hold in free space, the predicted electromagnetic waves do not require a medium for their propagation. An EM wave comprises an electric field, defined as the force per charge on a stationary charge, and a magnetic field, which is the force per charge on a moving charge.
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Magnetic Field due to Moving Charges01:25

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A stationary charge creates and interacts with the electric field, while a moving charge creates a magnetic field.
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Magnetic Force On Current-Carrying Wires: Example01:22

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.

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Related Experiment Video

Updated: Jul 18, 2026

Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems
07:44

Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems

Published on: April 28, 2016

Spatial wave intensity correlations in quasi-one-dimensional wires.

Gabriel Cwilich1, Luis S Froufe-Pérez, Juan José Sáenz

  • 1Department of Physics, Yeshiva University, New York, New York 10033, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 13, 2006
PubMed
Summary

Spatial intensity correlations in random media were analyzed using random matrix theory. Researchers found correlations transition from positive to negative as system length decreases, applicable from quasiballistic transport to localization.

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Area of Science:

  • Wave physics
  • Condensed matter physics
  • Statistical mechanics

Background:

  • Understanding wave transport through disordered materials is crucial for applications in optics and electronics.
  • Previous studies often focused on specific transport regimes, like diffusive or ballistic.
  • Random matrix theory provides a powerful framework for analyzing complex transport phenomena.

Purpose of the Study:

  • To analyze spatial intensity correlations of waves transmitted through random media.
  • To extend the validity of correlation function analysis beyond the diffusive regime.
  • To investigate the influence of system length on correlation behavior.

Main Methods:

  • Application of random matrix theory to wave transport.
  • Assumption of isotropic statistical distribution for transfer matrices.
  • Derivation of the spatial correlation function.

Main Results:

  • The spatial correlation function was expressed as a sum of three distinct terms.
  • The derived result is valid across a wide range of transport regimes, from quasiballistic to localization.
  • A transition from positive to negative correlations was predicted as system length decreases.

Conclusions:

  • The random matrix theory framework successfully describes spatial intensity correlations in random media.
  • The findings reveal a length-dependent transition in correlation behavior, offering new insights into wave localization phenomena.
  • This work bridges the gap between different transport regimes, providing a unified theoretical description.