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what is the si unit used to measure the magnitude of the magnetic field?

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SI unit of measurement of magnetic field strength

tesla
Unit organisation SI derived unit of measurement
Unit of Magnetic B-field
Magnetic flux density
Symbol T
Named afterward Nikola Tesla
Derivation: 1 T = one Wb/grand2
Conversions
1 T in ... ... is equal to ...
SI base units ane kg⋅due south−ii⋅A−one
Gaussian units 1×ten4 Chiliad

The tesla (symbol: T) is a derived unit of measurement of the magnetic B-field forcefulness (also, magnetic flux density) in the International Arrangement of Units.

One tesla is equal to ane weber per foursquare metre. The unit was appear during the General Briefing on Weights and Measures in 1960 and is named[1] in honor of Nikola Tesla, upon the proposal of the Slovenian electric engineer French republic Avčin.

The strongest fields encountered from permanent magnets on Globe are from Halbach spheres and can exist over 4.5 T. The record for the highest sustained pulsed magnetic field has been produced by scientists at the Los Alamos National Laboratory campus of the National High Magnetic Field Laboratory, the world's first 100-tesla non-destructive magnetic field.[two] In September 2018, researchers at the University of Tokyo generated a field of 1200 T which lasted in the lodge of 100 microseconds using the electromagnetic flux-compression technique.[3]

Definition [edit]

A particle, carrying a charge of 1 coulomb, and moving perpendicularly through a magnetic field of one tesla, at a speed of ane metre per 2nd, experiences a force with magnitude i newton, co-ordinate to the Lorentz forcefulness police force. As an SI derived unit of measurement, the tesla tin also be expressed as

T = V ⋅ s yard 2 = N A ⋅ thou = J A ⋅ m ii = H ⋅ A m 2 = Wb one thousand ii = kg C ⋅ due south = Northward ⋅ s C ⋅ m = kg A ⋅ s 2 {\displaystyle {\text{T}}={\dfrac {{\text{V}}{\cdot }{\text{s}}}{{\text{one thousand}}^{ii}}}={\dfrac {\text{Due north}}{{\text{A}}{\cdot }{\text{m}}}}={\dfrac {\text{J}}{{\text{A}}{\cdot }{\text{m}}^{2}}}={\dfrac {{\text{H}}{\cdot }{\text{A}}}{{\text{m}}^{2}}}={\dfrac {\text{Wb}}{{\text{m}}^{2}}}={\dfrac {\text{kg}}{{\text{C}}{\cdot }{\text{s}}}}={\dfrac {{\text{Northward}}{\cdot }{\text{due south}}}{{\text{C}}{\cdot }{\text{m}}}}={\dfrac {\text{kg}}{{\text{A}}{\cdot }{\text{due south}}^{2}}}}

(The final equivalent is in SI base units).[iv]

Where A = ampere, C = coulomb, kg = kilogram, 1000 = metre, Northward = newton, s = second, H = henry, V = volt, J = joule, and Wb = weber

Electric vs. magnetic field [edit]

In the production of the Lorentz strength, the difference between electric fields and magnetic fields is that a force from a magnetic field on a charged particle is mostly due to the charged particle's move,[v] while the force imparted by an electric field on a charged particle is not due to the charged particle's motility. This may exist appreciated by looking at the units for each. The unit of electrical field in the MKS arrangement of units is newtons per coulomb, N/C, while the magnetic field (in teslas) can be written as Due north/(C⋅one thousand/s). The dividing cistron between the two types of field is metres per 2nd (chiliad/southward), which is velocity. This relationship immediately highlights the fact that whether a static electromagnetic field is seen as purely magnetic, or purely electrical, or some combination of these, is dependent upon one's reference frame (that is, one'due south velocity relative to the field).[6] [7]

In ferromagnets, the movement creating the magnetic field is the electron spin[viii] (and to a lesser extent electron orbital angular momentum). In a current-carrying wire (electromagnets) the motion is due to electrons moving through the wire (whether the wire is directly or circular).

Conversions [edit]

One tesla is equivalent to:[9] [ page needed ]

ten,000 (or 104) One thousand (Gauss), used in the CGS system. Thus, 10 kG = 1 T (tesla), and 1 G = ten−4 T = 100 μT (microtesla).
ane,000,000,000 (or 109) γ (gamma), used in geophysics.[10] Thus, 1 γ = ane nT (nanotesla).
42.6 MHz of the oneH nucleus frequency, in NMR. Thus, the magnetic field associated with NMR at i GHz is 23.5 T.

One tesla is equal to 1 Five⋅due south/one thousand2. This can be shown by starting with the speed of light in vacuum,[11] c = (ε 0 μ 0)−ane/two, and inserting the SI values and units for c ( 2.998×10viii one thousand/south), the vacuum permittivity ε 0 ( 8.85×ten−12 A⋅s/(5⋅1000)), and the vacuum permeability μ 0 ( 12.566×10−vii T⋅m/A). Cancellation of numbers and units then produces this relation.

For the relation to the units of the magnetising field (ampere per metre or Oersted), see the article on permeability.

Examples [edit]

The following examples are listed in ascending order of field force.

  • 3.ii × 10−v T (31.869 μT) – forcefulness of Globe'south magnetic field at 0° latitude, 0° longitude
  • 5 × 10−three T (five mT) – the force of a typical refrigerator magnet
  • 0.three T – the strength of solar sunspots
  • 1.25 T – magnetic flux density at the surface of a neodymium magnet
  • 1 T to 2.4 T – coil gap of a typical loudspeaker magnet
  • 1.5 T to 3 T – force of medical magnetic resonance imaging systems in practice, experimentally up to 17 T[12]
  • iv T – strength of the superconducting magnet built around the CMS detector at CERN[13]
  • 5.sixteen T – the strength of a particularly designed room temperature Halbach array[14]
  • 8 T – the force of LHC magnets
  • 11.75 T – the forcefulness of INUMAC magnets, largest MRI scanner[15]
  • xiii T – strength of the superconducting ITER magnet system[sixteen]
  • 14.5 T – highest magnetic field force ever recorded for an accelerator steering magnet at Fermilab[17]
  • xvi T – magnetic field strength required to levitate a frog[eighteen] (by diamagnetic levitation of the water in its body tissues) according to the 2000 Ig Nobel Prize in Physics[nineteen]
  • 17.half-dozen T – strongest field trapped in a superconductor in a lab equally of July 2014[20]
  • 27 T – maximal field strengths of superconducting electromagnets at cryogenic temperatures
  • 35.4 T – the electric current (2009) world record for a superconducting electromagnet in a background magnetic field[21]
  • 45 T – the current (2015) world record for continuous field magnets[21]
  • 97.4 T - strongest magnetic field produced by a "not-subversive" magnet [22]
  • 100 T – approximate magnetic field strength of a typical white dwarf star
  • ten8 – 10eleven T (100 MT – 100 GT) – magnetic forcefulness range of magnetar neutron stars

Notes and references [edit]

  1. ^ "Details of SI units". sizes.com. 2011-07-01. Retrieved 2011-x-04 .
  2. ^ "Strongest non-destructive magnetic field: world record set at 100-tesla level". Los Alamos National Laboratory. Retrieved 6 November 2014.
  3. ^ D. Nakamura, A. Ikeda, H. Sawabe, Y. H. Matsuda, and S. Takeyama (2018), Magnetic field milestone
  4. ^ The International System of Units (SI), 8th edition, BIPM, eds. (2006), ISBN 92-822-2213-six, Table iii. Coherent derived units in the SI with special names and symbols Archived 2007-06-18 at the Wayback Motorcar
  5. ^ Gregory, Frederick (2003). History of Science 1700 to Present. The Teaching Company.
  6. ^ Parker, Eugene (2007). Conversations on electric and magnetic fields in the cosmos. Princeton University press. p. 65. ISBN978-0691128412.
  7. ^ Kurt, Oughstun (2006). Electromagnetic and optical pulse propagation. Springer. p. 81. ISBN9780387345994.
  8. ^ Herman, Stephen (2003). Delmar's standard textbook of electricity. Delmar Publishers. p. 97. ISBN978-1401825652.
  9. ^ McGraw Colina Encyclopaedia of Physics (2nd Edition), C.B. Parker, 1994, ISBN 0-07-051400-three
  10. ^ "Geomagnetism Frequently Asked Questions". National Geophysical Information Center. Retrieved 21 October 2013.
  11. ^ Panofsky, W. Thou. H.; Phillips, M. (1962). Classical Electricity and Magnetism. Addison-Wesley. p. 182. ISBN 978-0-201-05702-seven.
  12. ^ "Ultra-High Field". Bruker BioSpin. Archived from the original on 21 July 2012. Retrieved 4 October 2011.
  13. ^ "Superconducting Magnet in CMS". Retrieved 9 February 2013.
  14. ^ "The Strongest Permanent Dipole Magnet" (PDF) . Retrieved 2 May 2020.
  15. ^ "ISEULT – INUMAC". Retrieved 17 February 2014.
  16. ^ "ITER – the way to new free energy". Retrieved 19 April 2012.
  17. ^ Hesla, Leah (thirteen July 2020). "Fermilab achieves 14.5-tesla field for accelerator magnet, setting new world record". Retrieved 13 July 2020.
  18. ^ Berry, K. Five.; Geim, A. K. (1997). "Of Flying Frogs and Levitrons" by M. V. Berry and A. K. Geim, European Journal of Physics, v. 18, 1997, p. 307–13" (PDF). European Journal of Physics. 18 (iv): 307–313. doi:10.1088/0143-0807/18/4/012. S2CID 1499061. Archived from the original (PDF) on eight October 2020. Retrieved 4 October 2020.
  19. ^ "The 2000 Ig Nobel Prize Winners". August 2006. Retrieved 12 May 2013. )
  20. ^ "Superconductor Traps The Strongest Magnetic Field All the same". Retrieved 2 July 2014.
  21. ^ a b "Mag Lab Globe Records". Media Heart. National High Magnetic Field Laboratory, Usa. 2008. Retrieved 24 Oct 2015.
  22. ^ "Earth record pulsed magnetic field". 31 Baronial 2011. Retrieved 26 January 2022. )

External links [edit]

  • Gauss ↔ Tesla Conversion Tool

toddmilignigh.blogspot.com

Source: https://en.wikipedia.org/wiki/Tesla_(unit)

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