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  2. Earth's magnetic field - Wikipedia

    en.wikipedia.org/wiki/Earth's_magnetic_field

    The Earth's magnetic field strength was measured by Carl Friedrich Gauss in 1832 [69] and has been repeatedly measured since then, showing a relative decay of about 10% over the last 150 years. [70] The Magsat satellite and later satellites have used 3-axis vector magnetometers to probe the 3-D structure of the Earth's magnetic field.

  3. Magnetosphere particle motion - Wikipedia

    en.wikipedia.org/wiki/Magnetosphere_particle_motion

    The spacing between field lines is an indicator of the relative strength of the magnetic field. Where magnetic field lines converge the field grows stronger, and where they diverge, weaker. Now, it can be shown that in the motion of gyrating particles, the "magnetic moment" μ = W ⊥ /B (or relativistically, p ⊥ 2 /2mγB) stays very nearly ...

  4. Magnetic moment - Wikipedia

    en.wikipedia.org/wiki/Magnetic_moment

    The magnetic field of a magnetic dipole depends on the strength and direction of a magnet's magnetic moment but drops off as the cube of the distance such that: = (() | | | |), where H {\displaystyle \mathbf {H} } is the magnetic field produced by the magnet and r {\displaystyle \mathbf {r} } is a vector from the center of the magnetic dipole ...

  5. Dipole model of the Earth's magnetic field - Wikipedia

    en.wikipedia.org/wiki/Dipole_model_of_the_earth's...

    The dipole model of the Earth's magnetic field is a first order approximation of the rather complex true Earth's magnetic field. Due to effects of the interplanetary magnetic field (IMF), and the solar wind, the dipole model is particularly inaccurate at high L-shells (e.g., above L=3), but may be a good approximation for lower L-shells. For ...

  6. Quadrupole magnet - Wikipedia

    en.wikipedia.org/wiki/Quadrupole_magnet

    The field in a normal quadrupole is such that the magnetic poles are arranged with an angle of 45 degrees to the horizontal and vertical planes. The sign of K {\displaystyle K} determines whether (for a fixed particle charge and direction) the quadrupole focuses or defocuses particles in the horizontal plane.

  7. Magnetic field - Wikipedia

    en.wikipedia.org/wiki/Magnetic_field

    Additional magnetic field values can be found through the magnetic field of a finite beam, for example, that the magnetic field of an arc of angle and radius at the center is =, or that the magnetic field at the center of a N-sided regular polygon of side is = ⁡ ⁡, both outside of the plane with proper directions as inferred by right hand ...

  8. Larmor precession - Wikipedia

    en.wikipedia.org/wiki/Larmor_precession

    Generally, the g-factors are very difficult to calculate for such many-body systems, but they have been measured to high precision for most nuclei. The Larmor frequency is important in NMR spectroscopy. The gyromagnetic ratios, which give the Larmor frequencies at a given magnetic field strength, have been measured and tabulated. [3]

  9. Magnetism - Wikipedia

    en.wikipedia.org/wiki/Magnetism

    The strength of a magnetic field always decreases with distance from the magnetic source, [2] though the exact mathematical relationship between strength and distance varies. Many factors can influence the magnetic field of an object including the magnetic moment of the material, the physical shape of the object, both the magnitude and ...