Tesla (unit)

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Tesla
100RSD front.jpg
The tesla definition T = Wb/m2 is prominently depicted on the 100 Serbian dinars banknote, along with the picture of Nikola Tesla.
Unit information
Unit systemSI derived unit
Unit ofMagnetic flux density
SymbolT
Named afterNikola Tesla
In SI base units:1 T = 1 kg·s−2·A−1
 
  (Redirected from Microtesla)
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Tesla
100RSD front.jpg
The tesla definition T = Wb/m2 is prominently depicted on the 100 Serbian dinars banknote, along with the picture of Nikola Tesla.
Unit information
Unit systemSI derived unit
Unit ofMagnetic flux density
SymbolT
Named afterNikola Tesla
In SI base units:1 T = 1 kg·s−2·A−1

The tesla (symbol T) is the SI derived unit of magnetic field strength or magnetic flux density, commonly denoted as B. One tesla is equal to one weber per square metre, and it was defined in 1960[1] in honour of Nikola Tesla. The strongest fields encountered from permanent magnets are from Halbach spheres which can be over 4.5 T.[2] The unit was announced during the Conférence Générale des Poids et Mesures in 1960.

Definition[edit]

A particle carrying a charge of 1 coulomb and passing through a magnetic field of 1 tesla at a speed of 1 meter per second perpendicular to said field experiences a force with magnitude 1 newton, according to the Lorentz force law. As an SI derived unit, the tesla can also be expressed as

{\mathrm  {T}}={\mathrm  {V{\cdot }s{\cdot }m^{{-2}}}}={\mathrm  {N{\cdot }A^{{-1}}{\cdot }m^{{-1}}}}={\mathrm  {Wb{\cdot }m^{{-2}}}}
={\mathrm  {kg{\cdot }C^{{-1}}{\cdot }s^{{-1}}}}={\mathrm  {kg{\cdot }A^{{-1}}{\cdot }s^{{-2}}}}={\mathrm  {N{\cdot }s{\cdot }C^{{-1}}{\cdot }m^{{-1}}}}

(The 5th equivalent is in SI base units).[3]

Units used:

A = ampere
C = coulomb
kg = kilogram
m = meter
N = newton
s = second
T = tesla
V = volt
Wb = weber

Electric vs. magnetic field[edit]

In the production of the Lorentz force, the difference between these types of field is that a force from a magnetic field on a charged particle is generally due to the charged particle's movement[4] while the force imparted by an electric field on a charged particle is not due to the charged particle's movement. This may be appreciated by looking at the units for each. The unit of electric field in 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 meters/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).[5][6]

In ferromagnets, the movement creating the magnetic field is the electron spin[7] (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).

Conversions[edit]

1 tesla is equivalent to:[8]

10,000 (or 104) G (gauss), used in the CGS system. Thus, 10 G = 1 mT (millitesla), and 1 G = 10−4 T.
1,000,000,000 (or 109) γ (gammas), used in geophysics. Thus, 1 γ = 1 nT (nanotesla)
42.6 MHz of the 1H nucleus frequency, in NMR. Thus a 1 GHz NMR magnetic field is 23.5 teslas.

For those concerned with low-frequency electromagnetic radiation in the home, the following conversions are needed most:

1000 nT (nanoteslas) = 1 µT (microtesla) = 10 mG (milligauss)
1,000,000 µT = 1 T

Because the tesla is so large in regards to everyday usage, common engineering practice is to report the strength of magnets in gauss. Scientists are split on this issue, with some insisting on proper SI units at all times and some allowing for more practical labeling (though using mT or µT is not less practical than G or mG, and conforms with SI). In publications where fields are reported in teslas, very often they are incorrectly reported with the unit capitalized as "Teslas." However, as with gauss and other units, even those derived from names (watt, joule) the unit is lower-case when written out, but capitalized as a symbol: tesla, T.

For the relation to the units of the magnetizing field (amperes per meter or oersteds) see the article on permeability.

Examples[edit]

Notes and references[edit]

  1. ^ "Details of SI units". sizes.com. 2011-07-01. Retrieved 2011-10-04. 
  2. ^ http://www.magnet.fsu.edu/mediacenter/factsheets/records.html
  3. ^ The International System of Units (SI), 8th edition, BIPM, eds. (2006), ISBN 92-822-2213-6, Table 3. Coherent derived units in the SI with special names and symbols
  4. ^ Gregory, Frederick (2003). History of Science 1700 to Present. The Teaching Company. 
  5. ^ Parker, Eugene (2007). Conversations on electric and magnetic fields in the cosmos. Princeton University press. p. 65. 
  6. ^ Kurt, Oughstun (2006). Electromagnetic and optical pulse propogation. Springer. p. 81. 
  7. ^ Herman, Stephen (2003). Delmar's standard textbook of electricity. Delmar Publishers. p. 97. 
  8. ^ McGraw Hill Encyclopaedia of Physics (2nd Edition), C.B. Parker, 1994, ISBN 0-07-051400-3
  9. ^ "Ultra-High Field". Bruker BioSpin. Retrieved 2011-10-04. 
  10. ^ "Superconducting Magnet in CMS". Retrieved 9 February 2013. 
  11. ^ "ITER – the way to new energy". Retrieved 2012-04-19. 
  12. ^ "Of Flying Frogs and Levitrons" by M.V. Berry and A.K. Geim, European Journal of Physics, v. 18, 1997, p. 307–13.". Retrieved 12 May 2013. 
  13. ^ "The 2000 Ig Nobel Prize Winners". Retrieved 12 May 2013. 

External links[edit]