Tesla (unit)

Source: Wikipedia, the free encyclopedia.
tesla
magnetic flux density
SymbolT
Named afterNikola Tesla
Conversions
1 T in ...... is equal to ...
   SI base units   1 kgs−2A−1
   Gaussian units   104 G

The tesla (symbol: T) is the unit of magnetic flux density (also called magnetic B-field strength) in the International System of Units (SI).

One tesla is equal to one

mechanical engineer Nikola Tesla, upon the proposal of the Slovenian electrical engineer France Avčin
.

Definition

A particle, carrying a charge of one

Lorentz force law
. That is,

As an

That is,

Expressed only in SI base units, 1 tesla is:

where A is ampere, kg is kilogram, and s is second.[2]

Additional equivalences result from the derivation of coulombs from amperes (A), :

the relationship between newtons and joules (J), :
and the derivation of the weber from volts (V), :
The tesla is named after
common noun
; i.e., tesla becomes capitalised at the beginning of a sentence and in titles but is otherwise in lower case.

Electric vs. magnetic field

In the production of the

MKS system of units is newtons per coulomb, N/C, while the magnetic field (in teslas) can be written as N/(C⋅m/s). The dividing factor between the two types of field is metres per second (m/s), which is velocity. This relationship immediately highlights the fact that whether a static electromagnetic field is seen as purely magnetic, or purely electric, or some combination of these, is dependent upon one's reference frame (that is, one's velocity relative to the field).[4][5]

In

electron spin[6] (and to a lesser extent electron orbital angular momentum). In a current-carrying wire (electromagnets
) the movement is due to electrons moving through the wire (whether the wire is straight or circular).

Conversion to non-SI units

One tesla is equivalent to:[7][page needed]

  • 10,000 (or 104) G (
    CGS
    system. Thus, 1 G = 10−4 T = 100 μT (microtesla).
  • 1,000,000,000 (or 109) γ (gamma), used in geophysics.[8]

For the relation to the units of the

magnetising field (ampere per metre or Oersted), see the article on permeability
.

Examples

The following examples are listed in the ascending order of the magnetic-field strength.

  • 3.2×10−5 T (31.869 μT) – strength of Earth's magnetic field at 0° latitude, 0° longitude
  • 4×10−5 T (40 μT) – walking under a
    high-voltage power line[9]
  • 5×10−3 T (5 mT) – the strength of a typical refrigerator magnet
  • 0.3 T – the strength of solar sunspots
  • 1 T to 2.4 T – coil gap of a typical loudspeaker magnet
  • 1.5 T to 3 T – strength of medical magnetic resonance imaging systems in practice, experimentally up to 17 T[10]
  • 4 T – strength of the superconducting magnet built around the CMS detector at CERN[11]
  • 5.16 T – the strength of a specially designed room temperature Halbach array[12]
  • 8 T – the strength of
    LHC
    magnets
  • 11.75 T – the strength of INUMAC magnets, largest
    MRI scanner[13]
  • 13 T – strength of the superconducting ITER magnet system[14]
  • 14.5 T – highest magnetic field strength ever recorded for an accelerator steering magnet at Fermilab[15]
  • 16 T – magnetic field strength required to levitate a frog[16] (by diamagnetic levitation of the water in its body tissues) according to the 2000 Ig Nobel Prize in Physics[17]
  • 17.6 T – strongest field trapped in a superconductor in a lab as of July 2014[18]
  • 20 T - strength of the large scale high temperature superconducting magnet developed by MIT and Commonwealth Fusion Systems to be used in fusion reactors[citation needed]
  • 27 T – maximal field strengths of superconducting electromagnets at cryogenic temperatures
  • 35.4 T – the current (2009) world record for a superconducting electromagnet in a background magnetic field[19]
  • 45 T – the current (2015) world record for continuous field magnets[19]
  • 97.4 T – strongest magnetic field produced by a "non-destructive" magnet[20]
  • 100 T – approximate magnetic field strength of a typical white dwarf star
  • 1200 T – the field, lasting for about 100 microseconds, formed using the electromagnetic flux-compression technique[21]
  • 109 T – Schwinger limit above which the electromagnetic field itself is expected to become nonlinear
  • 108 – 1011 T (100 MT – 100 GT) – magnetic strength range of magnetar neutron stars

Notes and references

  1. ^ "Details of SI units". sizes.com. 2011-07-01. Retrieved 2011-10-04.
  2. ^
  3. ^ Gregory, Frederick (2003). History of Science 1700 to Present. The Teaching Company.
  4. .
  5. .
  6. .
  7. ^ "gamma definition". Oxford Reference. Retrieved 2 January 2024.
  8. ^ "EMF: 7. Extremely low frequency fields like those from power lines and household appliances". ec.europa.eu. Archived from the original on 2021-02-24. Retrieved 2022-05-13.
  9. ^ "Ultra-High Field". Bruker BioSpin. Archived from the original on 21 July 2012. Retrieved 4 October 2011.
  10. ^ "Superconducting Magnet in CMS". Retrieved 9 February 2013.
  11. ^ "The Strongest Permanent Dipole Magnet" (PDF). Retrieved 2 May 2020.
  12. ^ "ISEULT – INUMAC". Retrieved 17 February 2014.
  13. ^ "ITER – the way to new energy". Retrieved 19 April 2012.
  14. ^ Hesla, Leah (13 July 2020). "Fermilab achieves 14.5-tesla field for accelerator magnet, setting new world record". Retrieved 13 July 2020.
  15. S2CID 1499061. Archived from the original
    (PDF) on 8 October 2020. Retrieved 4 October 2020.
  16. ^ "The 2000 Ig Nobel Prize Winners". August 2006. Retrieved 12 May 2013.)
  17. ^ "Superconductor Traps The Strongest Magnetic Field Yet". 2 July 2014. Retrieved 2 July 2014.
  18. ^ a b "Mag Lab World Records". Media Center. National High Magnetic Field Laboratory, USA. 2008. Retrieved 24 October 2015.
  19. ^ "World record pulsed magnetic field". Physics World. 31 August 2011. Retrieved 26 January 2022.)
  20. ^ D. Nakamura, A. Ikeda, H. Sawabe, Y. H. Matsuda, and S. Takeyama (2018), Magnetic field milestone

External links