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The change of name had been made because μ 0 was a defined value, and was not the result of experimental measurement (see below). In the new SI system, the permeability of vacuum no longer has a defined value, but is a measured quantity, with an uncertainty related to that of the (measured) dimensionless fine structure constant.
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The value of the electron charge became a numerically defined quantity, not measured, making μ 0 a measured quantity. Consequently, ε 0 is not exact. As before, it is defined by the equation ε 0 = 1/( μ 0 c 2 ) , and is thus determined by the value of μ 0 , the magnetic vacuum permeability which in turn is determined by the experimentally ...
Values shown above are approximate and valid only at the magnetic fields shown. They are given for a zero frequency; in practice, the permeability is generally a function of the frequency. When the frequency is considered, the permeability can be complex , corresponding to the in-phase and out of phase response.
Its presently accepted value is [1] Z 0 = 376.730 313 412 (59) Ω, where Ω is the ohm, the SI unit of electrical resistance. The impedance of free space (that is, the wave impedance of a plane wave in free space) is equal to the product of the vacuum permeability μ 0 and the speed of light in vacuum c 0.
This template is used to easily present values in scientific notation, including uncertainty and/or units, as prescribed by Wikipedia's Manual of Style. Template parameters [Edit template data] This template prefers inline formatting of parameters. Parameter Description Type Status Number 1 A number in decimal point notation or in e notation. The main basis of the Val expression. Example -12 ...
The value of 10-7 comes from the fact that metre, kg, second and ampere were all previously defined as decade-multiples of an electromagnetic system, and the decade appropriate is 10-7. The 4pi comes from a change of formulae from flux from a radiant source (which is what coulomb's inverse law is), to flux measured by Gauss's law (flux = charge).
One difference between the Gaussian and SI systems is in the factor 4π in various formulas that relate the quantities that they define. With SI electromagnetic units, called rationalized, [3] [4] Maxwell's equations have no explicit factors of 4π in the formulae, whereas the inverse-square force laws – Coulomb's law and the Biot–Savart law – do have a factor of 4π attached to the r 2.