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Related Concept Videos

Magnetic Flux01:18

Magnetic Flux

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The magnetic flux measures the number of magnetic field lines passing through a given surface area. The SI unit for magnetic flux is the weber (Wb). Magnetic flux is a scalar quantity. It depends on three factors: the strength of the magnetic field B, the area through which the field lines pass, and the relative orientation of the field with the surface area.
Suppose a surface is divided into elements of area dA. For each element, the component of the magnetic field that is normal to the...
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Magnetic Field Of A Current Loop01:16

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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

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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.
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Magnetic Field of a Solenoid01:18

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A solenoid is a conducting wire coated with an insulating material, wound tightly in the form of a helical coil. The magnetic field due to a solenoid is the vector sum of the magnetic fields due to its individual turns. Therefore, for an ideal solenoid, the magnetic field within the solenoid is directly proportional to the number of turns per unit length and the current. Conversely, the magnetic field outside the solenoid is zero.
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Magnetic Field Lines01:19

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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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Magnetic Field Due To A Thin Straight Wire01:28

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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.
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Updated: Aug 3, 2025

Magnetic Tweezers for the Measurement of Twist and Torque
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Writhed Analytical Magnetic Flux Rope Model.

A J Weiss1,2,3, T Nieves-Chinchilla4,5, C Möstl1

  • 1Austrian Space Weather Office Zentralanstalt für Meteorologie und Geodynamik Graz Austria.

Journal of Geophysical Research. Space Physics
|April 10, 2023
PubMed
Summary
This summary is machine-generated.

This study introduces a new analytical model for magnetic flux ropes in interplanetary coronal mass ejections (ICMEs). The model describes deformed flux ropes, offering new insights beyond cylindrical or toroidal assumptions.

Keywords:
ICMEsflux rope modelingflux ropes

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Area of Science:

  • Space Physics
  • Plasma Physics
  • Astrophysics

Background:

  • Magnetic clouds within interplanetary coronal mass ejections (ICMEs) are often modeled as flux ropes.
  • Existing flux rope models typically assume cylindrical or toroidal geometries and axial invariance.
  • Solar wind and other influences can deform ICME flux ropes along their axes.

Purpose of the Study:

  • To develop a novel analytical model for writhed magnetic flux ropes.
  • To describe flux rope structures with varying curvature and torsion, moving beyond constrained geometries.
  • To analytically model flux ropes with circular cross-sections of constant size.

Main Methods:

  • Parametrization of the flux rope axis and use of a parallel transport frame.
  • Derivation of axial and poloidal magnetic field components assuming conserved axial magnetic flux.
  • Development of a general class of solutions based on integration constants.

Main Results:

  • The study presents a new class of analytical solutions for magnetic flux ropes.
  • It is found that magnetic field twist locally changes when the geometry deviates from cylindrical or toroidal forms.
  • The model generates novel in situ magnetic field profiles distinct from traditional models.

Conclusions:

  • The developed writhed flux rope model provides a more flexible description of ICME magnetic structures.
  • This approach allows for the investigation of non-axisymmetric and deformed flux rope geometries.
  • The findings offer new possibilities for interpreting in situ observations of ICMEs.