phenomenon

solar magnetic field

The magnetic field of the Sun, including its poles, dynamo, and influence on solar wind.
20 related articles · 5 formulas

Description

The solar magnetic field is the Sun's large-scale magnetic structure, generated by the motion of conductive plasma in its interior. It governs solar activity, including sunspots, flares, and coronal mass ejections, and shapes the heliosphere—the bubble of solar wind that surrounds the solar system. The field's polarity reverses roughly every 11 years in a cycle tied to the solar dynamo, a self-sustaining process that converts kinetic energy of plasma flows into magnetic energy.

History

The cyclic nature of sunspots was discovered by Samuel Heinrich Schwabe in 1843, and the magnetic character of sunspots was established by George Ellery Hale in 1908. The modern dynamo theory was developed in the mid-20th century by Eugene Parker and others.

How it works

The solar dynamo operates through differential rotation (the equator spins faster than the poles) and turbulent convection in the outer layers. These motions stretch, twist, and amplify magnetic field lines, creating the observed patterns of sunspot pairs and the cyclic reversal of the poles. The field extends outward as the solar wind, carrying magnetic flux into interplanetary space and interacting with planetary magnetospheres.

In practice

Understanding the solar magnetic field is crucial for predicting space weather, which can disrupt satellites, power grids, and GPS systems.

Fun fact

The Sun's magnetic field is so strong that it can accelerate charged particles to near-light speeds, producing solar energetic particles that reach Earth in minutes.

Concept graph →

Formulas

$$F = \frac{2 A s}{c} \cdot \frac{1 - v/c}{1 + v/c}$$
Force on a moving solar sail due to reflected light.
What is in the formula
FvariableForce on the sail — force newton
AvariableArea of the sail — area square metre
svariablePoynting flux (power per unit area) of incident light — irradiance watt per square metre
vvariableSpeed of the sail relative to the light source — velocity metre per second
cconstantUniversal constant, speed of light in vacuum — speed of light = 299792458 metre per second
\cdotoperatorProduct of quantities — multiplication
\frac{1 - v/c}{1 + voperatorRatio of reflected to incident photon energy and rate — doppler factor squared
f=\frac{2as}{c}*\frac{1-v/c}{1+v/c} · 2606.04052v1
$$A = \arccos(-\tan \phi \tan \delta)$$
Calculates sunrise azimuth from latitude and solar declination.
What is in the formula
AvariableSunrise azimuth angle — azimuth angle radian
φvariableLatitude of observer — latitude radian
δvariableSolar declination — solar declination radian
arccosoperatorInverse cosine function — arccosine
tanoperatorTangent function — tangent
a=\arccos(-\tanφ\tanδ) · 2607.14201
$$\tau \propto B^2$$
Torque on a magnetic dipole is proportional to the square of the magnetic field strength.
What is in the formula
τvariableTorque on the magnetic dipole — torque newton metre
BvariableMagnetic field strength — magnetic field strength tesla
τ\proptob^2 · 2601.14381
$$E = -\boldsymbol{\mu} \cdot \mathbf{B}$$
Energy of a magnetic moment in a magnetic field.
What is in the formula
Evariablemagnetic energy of the moment — energy joule
\boldsymbol{\mu}variablemagnetic dipole moment — magnetic dipole moment ampere square metre
\mathbf{B}variablemagnetic field — magnetic field tesla
\cdotoperatortakes the scalar product of two vectors — dot product
q=-δm_f(g_{f,{cs}}-g_{f,{rb}})μ_bb · 2606.24615
$$B > v \sqrt{4\pi \rho}$$
Magnetic field strength required to balance kinetic energy density.
What is in the formula
BvariableMagnetic field strength — magnetic field strength tesla
vvariableCharacteristic velocity of plasma flow — velocity metre per second
ρvariableMass density of the plasma — mass density kilogram per cubic metre
√operatorTakes the square root of the argument — square root
b>v_{{ufo}}\sqrt{4πnm_p} · 2606.25636

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