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Coulomb's constant : ウィキペディア英語版
Coulomb's constant
Coulomb's constant, the electric force constant, or the electrostatic constant (denoted ) is a proportionality constant in equations relating electric variables and is exactly equal to  =  N·m2/C2 (i.e. m/F). It was named after the French physicist Charles-Augustin de Coulomb (1736–1806) who first used it in Coulomb's law.
== Value of the constant ==
Coulomb's constant can be empirically derived as the constant of proportionality in Coulomb's law,
:\mathbf = k_\text\frac\mathbf dA = |\mathbf|\mathbf}}
Noting that for some test charge ''Q'',
:\mathbf = \frac\frac\mathbf\frac\mathbf = \frac
This exact value of Coulomb's constant comes from three of the fundamental, invariant quantities that define free space in the SI system: the speed of light , magnetic permeability , and electric permittivity , related by Maxwell as:
: \frac=c_0^2.
Because of the way the SI base unit system made the natural units for electromagnetism, the speed of light in vacuum is , the magnetic permeability of free space is , and the electric permittivity of free space is ,〔(CODATA Value: electric constant ). Physics.nist.gov. Retrieved on 2010-09-28.〕
so that〔(Coulomb's constant ), Hyperphysics〕
:\begin
k_\text = \frac=\frac&=c_0^2\times 10^\ \mathrm^\\
&= 8.987\ 551\ 787\ 368\ 176\ 4\times 10^9\ \mathrm^.
\end

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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