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Magnetic Fields01:27

Magnetic Fields

7.0K
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...
7.0K
Magnetic Field Of A Current Loop01:16

Magnetic Field Of A Current Loop

6.1K
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.
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Magnetic Field Due to Two Straight Wires01:18

Magnetic Field Due to Two Straight Wires

4.2K
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.
4.2K
Divergence and Curl of Magnetic Field01:26

Divergence and Curl of Magnetic Field

3.8K
The magnetic field due to a volume current distribution given by the Biot–Savart Law can be expressed as follows:
3.8K
Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

1.2K
In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
1.2K
Magnetic Field due to Moving Charges01:23

Magnetic Field due to Moving Charges

11.2K
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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Related Experiment Video

Updated: Dec 26, 2025

Fabrication of Magnetic Platforms for Micron-Scale Organization of Interconnected Neurons
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Fabrication of Magnetic Platforms for Micron-Scale Organization of Interconnected Neurons

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Statistical analysis of stochastic magnetic fields.

Amir Jafari1, Ethan Vishniac1, Vignesh Vaikundaraman2

  • 1Department of Physics & Astronomy, Johns Hopkins University, Baltimore, Maryland 21218, USA.

Physical Review. E
|March 15, 2020
PubMed
Summary
This summary is machine-generated.

This study introduces a new statistical framework to analyze magnetic reconnection in turbulent plasmas. Numerical simulations confirm that magnetic field tangling increases stochasticity, leading to field-fluid slippage and reconnection events.

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Area of Science:

  • Plasma Physics
  • Magnetohydrodynamics (MHD)
  • Turbulence Theory

Background:

  • Quantifying magnetic field stochasticity and spatial complexity is crucial for understanding turbulent plasmas.
  • Previous work introduced scale-split energy density to analyze magnetic field evolution.
  • Magnetic tension force influences the interaction between magnetic fields and fluid flow.

Purpose of the Study:

  • To numerically test theoretical predictions relating magnetic stochasticity and cross-energy density.
  • To investigate the conditions leading to field-fluid slippage and magnetic reconnection in MHD turbulence.
  • To propose a statistical approach for defining and analyzing magnetic reconnection.

Main Methods:

  • Homogeneous, incompressible magnetohydrodynamic (MHD) simulations were employed.
  • Analysis involved scale-split energy density, L_p norms for stochasticity (S_p), and cross-energy (E_p).
  • A toy model resembling a quantum mean field Ising model was constructed and tested.

Main Results:

  • Numerical simulations confirmed the predicted global relationship between magnetic stochasticity and cross-energy density.
  • Ubiquitous local field-fluid slippage and reconnection events were observed in MHD turbulence.
  • Conditions for field-fluid slippage (T_p=0, ∂_tT_p<0) correlate with increases in kinetic stochasticity (τ_p>0).

Conclusions:

  • Magnetic reconnection is statistically defined as field-fluid slippage accompanied by magnetic energy dissipation.
  • The study provides a statistical framework for analyzing reconnection using magnetic and kinetic stochasticities.
  • Scale-split magnetic helicity offers insights into the relaxation of turbulent magnetic fields.