Tesla (unit)
tesla | |
---|---|
magnetic flux density | |
Symbol | T |
Named after | Nikola Tesla |
Conversions | |
1 T in ... | ... is equal to ... |
SI base units | 1 kg⋅s−2⋅A−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
magnetic flux density of 1 tesla.[2]
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 (CGSsystem. 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 LHCmagnets
- 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
- ^ "Details of SI units". sizes.com. 2011-07-01. Retrieved 2011-10-04.
- ^ ISBN 92-822-2213-6, Table 3. Coherent derived units in the SI with special names and symbols Archived 2007-06-18 at the Wayback Machine
- ^ Gregory, Frederick (2003). History of Science 1700 to Present. The Teaching Company.
- ISBN 978-0691128412.
- ISBN 9780387345994.
- ISBN 978-1401825652.
- ISBN 0-07-051400-3
- ^ "gamma definition". Oxford Reference. Retrieved 2 January 2024.
- ^ "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.
- ^ "Ultra-High Field". Bruker BioSpin. Archived from the original on 21 July 2012. Retrieved 4 October 2011.
- ^ "Superconducting Magnet in CMS". Retrieved 9 February 2013.
- ^ "The Strongest Permanent Dipole Magnet" (PDF). Retrieved 2 May 2020.
- ^ "ISEULT – INUMAC". Retrieved 17 February 2014.
- ^ "ITER – the way to new energy". Retrieved 19 April 2012.
- ^ Hesla, Leah (13 July 2020). "Fermilab achieves 14.5-tesla field for accelerator magnet, setting new world record". Retrieved 13 July 2020.
- S2CID 1499061. Archived from the original(PDF) on 8 October 2020. Retrieved 4 October 2020.
- ^ "The 2000 Ig Nobel Prize Winners". August 2006. Retrieved 12 May 2013.)
- ^ "Superconductor Traps The Strongest Magnetic Field Yet". 2 July 2014. Retrieved 2 July 2014.
- ^ a b "Mag Lab World Records". Media Center. National High Magnetic Field Laboratory, USA. 2008. Retrieved 24 October 2015.
- ^ "World record pulsed magnetic field". Physics World. 31 August 2011. Retrieved 26 January 2022.)
- ^ D. Nakamura, A. Ikeda, H. Sawabe, Y. H. Matsuda, and S. Takeyama (2018), Magnetic field milestone
External links
Look up tesla in Wiktionary, the free dictionary.