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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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In electrostatics, the electric field can be written as the negative gradient of the potential. In magnetostatics, the zero divergence of the magnetic field ensures that the magnetic field can be expressed as the curl of a vector potential. This potential is known as the magnetic vector potential.
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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.
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Related Experiment Video

Updated: Mar 24, 2026

Concurrent Recording of Co-localized Electroencephalography and Local Field Potential in Rodent
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Global Neuromagnetic Cortical Fields Have Non-Zero Velocity.

David M Alexander1, Andrey R Nikolaev1, Peter Jurica2

  • 1Brain and Cognition Research Unit, KU Leuven - University of Leuven, Leuven, Belgium.

Plos One
|March 9, 2016
PubMed
Summary

Large-scale traveling brain waves, observed using magnetoencephalography (MEG), reveal globally coherent neural activity. These waves propagate across the cortex, offering insights into brain coordination during sensory processing.

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Area of Science:

  • Neuroscience
  • Physics of Complex Systems

Background:

  • Analysis techniques often obscure globally coherent phase patterns in brain activity.
  • Aggregating brain activity measures can hinder accurate source localization and inter-areal coherence estimation.

Purpose of the Study:

  • To analyze single-trial whole-head magnetoencephalography (MEG) data during an apparent motion task.
  • To investigate the nature and characteristics of globally coherent neural activity patterns.

Main Methods:

  • Single-trial analysis of whole-head MEG data.
  • Analysis of brain activity during an observer-triggered apparent motion task.
  • Examination of neural activity in delta, theta, alpha, and beta frequency bands.

Main Results:

  • Episodes of globally coherent activity appeared as large-scale waves across frequency bands.
  • Wave speeds ranged from 0.06 to 4.0 m/s, proportional to temporal frequency.
  • Coherent wave motion was observed across the entire measurement array, with predictable direction during task-relevant periods.

Conclusions:

  • A significant portion of the measurable cortical signal exists as large-scale coherent motion.
  • Observable phase velocities in MEG are influenced by spatial filtering and cortical activity group velocity.
  • Traveling waves may serve as indicators of global cortical coordination processes.