Orders of magnitude (magnetic moment)

This page lists examples of magnetic moments produced by various sources, grouped by orders of magnitude. The magnetic moment of an object is an intrinsic property and does not change with distance, and thus can be used to measure "how strong" a magnet is. For example, Earth possesses a large magnetic moment, but due to the radial distance, we experience only a tiny magnetic flux density on its surface.

Knowing the magnetic moment of an object ( $𝐦$ ) and the distance from its centre ( $r$ ) it is possible to calculate the magnetic flux density experienced ( $𝐁$ ) using the following approximation:

𝐁 \approx μ_{0} \frac{𝐦}{2 π r^{3}},

where $μ_{0}$ is the vacuum permeability constant.

Examples

**Magnetic dipole moments**
Factor (m²⋅A)	Value	Item
10⁻⁴⁷	Template:Val^[1]	Unit of magnetic moment in Stoney units
10⁻⁴⁵	Template:Val^[2]	Unit of magnetic moment in Planck units
10⁻⁴³	~Template:Val^[3]	Expected magnetic moment of a neutrino
10⁻²⁷	Template:Val	Magnetic moment of a deuterium nucleus
10⁻²⁶	Template:Val	Magnetic moment of a proton
10⁻²⁴	Template:Val	Magnetic moment of a positron
10⁻²⁴	Template:Val	Bohr magneton
10⁻¹⁸	0.65–2.65 nm²⋅A (1 nm²⋅A = 10⁻¹⁸ m²⋅A)^[4]	Magnetic moment of individual magnetite nanoparticles (20 nm diameter)
10⁻¹⁴	Template:Val^[5]	Magnetic moment of magnetotactic bacteria
10⁻¹³	Template:Val^[5]	Magnetic moment of magnetotactic bacteria
10⁻¹¹	Template:Val^[6]	Magnetic moment of the human brain
10⁻¹¹	Template:Val^[6]	Magnetic moment of the human brain
10⁻⁵	Template:Val^[7]^[8]	NIST YIG (yttrium iron garnet) standard 1 mm sphere for calibrating magnetometers (SRM #2852)
10⁻⁴	Template:Val^[9]	Needle in a thumbnail-sized compass
10⁻³	Template:Val^[10]	Neodymium–iron–boron disc in a typical mobile phone
10⁻¹	Template:Val^[11]	A typical refrigerator magnet
10⁻¹	Template:Val^[10]	Neodymium–iron–boron (strongest grade) disc the same size as a US penny
10⁰	Template:Val^[12]	Neodymium–iron–boron N35 magnet with a volume of 1 cm³
10⁰	Template:Val^[12]	Neodymium–iron–boron N52 magnet with a volume of 1 cm³
10³	Template:Val^[10]	A bowling ball made of neodymium–iron–boron (strongest grade)
10⁶	Template:Val^[13]	A magnet that produces one tesla one metre away from its centre
10¹²	Template:Val^[13]	A magnet that produces one tesla 100 m away from its centre
10¹⁵	Template:Val^[14]	Magnetic moment of the Moon
10¹⁶	Template:Val^[14]	Magnetic moment of the Moon
10¹⁹	Template:Val^[15]	Magnetic moment of Mercury
10²⁰	Template:Val^[15]	Magnetic moment of Ganymede
10²²	Template:Val^[16]	Magnetic moment of Earth
10²⁴	Template:Val^[15]	Magnetic moment of Neptune
10²⁴	Template:Val^[15]	Magnetic moment of Uranus
10²⁵	Template:Val^[15]	Magnetic moment of Saturn
10²⁷	Template:Val^[15]	Magnetic moment of Jupiter
10²⁸	Template:Val	Magnetic moment of a star, a white dwarf or a magnetar^[17]
10²⁹	Template:Val
10³⁰	Template:Val^[18]

References

Template:Reflist

↑ That is, $ℳ_{S} = l_{S}^{2} q_{S} {t_{S}}^{- 1} = \sqrt{4 π G ε_{0} α^{2} ℏ^{2}}$
↑ That is, $ℳ_{P} = l_{P}^{2} q_{P} {t_{P}}^{- 1} = \sqrt{4 π G ε_{0} ℏ^{2}}$
↑ Template:Cite journal See in particular equation (5): $μ_{i i}^{D} = \frac{3 e G_{F} m_{i}}{8 π^{2} \sqrt{2}} \approx 3.2 \times 1 0^{- 19} \frac{m_{i}}{1 e V} μ_{B}$ , where $m_{i}$ is one of the possible neutrino masses, $G_{F}$ is Fermi's constant and $μ_{B}$ is Bohr magneton.
↑ Template:Cite journal
↑ Template:Cite arXiv
↑ ^6.0 ^6.1 Template:Cite journal
↑ Template:Cite journal
↑ Template:Cite web
↑ Template:Cite journal
↑ ^10.0 ^10.1 ^10.2 Template:Cite web
↑ Template:Cite web
↑ ^12.0 ^12.1 Template:Cite web
↑ ^13.0 ^13.1 This is a consequence of the definition of the magnetic constant.
↑ Template:Cite journal
↑ ^15.0 ^15.1 ^15.2 ^15.3 ^15.4 ^15.5 Template:Cite arXiv
↑ Template:Cite web
↑ Magnetars have enormous magnetic flux densities on their surfaces due to the small radius, however the total magnetic field of the original star does not increase during the collapse, but actually decreases with time. Cf. Template:Cite arXiv
↑ Template:Cite journal

[1] That is, $ℳ_{S} = l_{S}^{2} q_{S} {t_{S}}^{- 1} = \sqrt{4 π G ε_{0} α^{2} ℏ^{2}}$

[2] That is, $ℳ_{P} = l_{P}^{2} q_{P} {t_{P}}^{- 1} = \sqrt{4 π G ε_{0} ℏ^{2}}$

[studenikin-2016-3] Template:Cite journal See in particular equation (5): $μ_{i i}^{D} = \frac{3 e G_{F} m_{i}}{8 π^{2} \sqrt{2}} \approx 3.2 \times 1 0^{- 19} \frac{m_{i}}{1 e V} μ_{B}$ , where $m_{i}$ is one of the possible neutrino masses, $G_{F}$ is Fermi's constant and $μ_{B}$ is Bohr magneton.

[4] Template:Cite journal

[5] Template:Cite arXiv

[gilder-et-al-6] 6.0 ^6.1 Template:Cite journal

[7] Template:Cite journal

[8] Template:Cite web

[9] Template:Cite journal

[adamsmagnetic-10] 10.0 ^10.1 ^10.2 Template:Cite web

[11] Template:Cite web

[neodymium-1cm-cube-12] 12.0 ^12.1 Template:Cite web

[consequences-of-vacuum-permeability-13] 13.0 ^13.1 This is a consequence of the definition of the magnetic constant.

[14] Template:Cite journal

[durand-manterola-15] 15.0 ^15.1 ^15.2 ^15.3 ^15.4 ^15.5 Template:Cite arXiv

[16] Template:Cite web

[17] Magnetars have enormous magnetic flux densities on their surfaces due to the small radius, however the total magnetic field of the original star does not increase during the collapse, but actually decreases with time. Cf. Template:Cite arXiv

[18] Template:Cite journal

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Orders of magnitude (magnetic moment)

Examples

References

See also

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Orders of magnitude (magnetic moment)

Examples

References

See also

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