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The conversion factors relating electromagnetic units in the CGS and SI systems are made more complex by the differences in the formulas expressing physical laws of electromagnetism as assumed by each system of units, specifically in the nature of the constants that appear in these formulas. This illustrates the fundamental difference in the ...
One difference between Gaussian and SI units is in the factors of 4π in various formulas. 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.
The units for magnetic flux Φ, which is the integral of magnetic B-field over an area, are the weber (Wb) in the SI and the maxwell (Mx) in the CGS-Gaussian system. The conversion factor is 10 8 maxwell per weber, since flux is the integral of field over an area, area having the units of the square of distance, thus 10 4 G/T (magnetic field ...
The conversion between different SI units for one and the same physical quantity is always through a power of ten. This is why the SI (and metric systems more generally) are called decimal systems of measurement units. [10] The grouping formed by a prefix symbol attached to a unit symbol (e.g. ' km ', ' cm ') constitutes a new inseparable unit ...
Listed below are all conversion factors that are useful to convert between all combinations of the SI base units, and if not possible, between them and their unique elements, because ampere is a dimensionless ratio of two lengths such as [C/s], and candela (1/683 [W/sr]) is a dimensionless ratio of two dimensionless ratios such as ratio of two volumes [kg⋅m 2 /s 3] = [W] and ratio of two ...
Polarizability has the SI units of C·m 2 ·V −1 = A 2 ·s 4 ·kg −1 while its cgs unit is cm 3. Usually it is expressed in cgs units as a so-called polarizability volume, sometimes expressed in Å 3 = 10 −24 cm 3. One can convert from SI units to cgs units (′) as follows:
An electric flux (specifically, a flux of the electric displacement field D) has units of charge: statC in CGS and coulombs in SI. The conversion factor can be derived from Gauss's law: = = where Therefore, the conversion factor for flux and the conversion factor for charge differ by a ratio of 4π: = ⌢ ).
The respective CGS susceptibilities are multiplied by 4 π to give the corresponding ISQ quantities (often referred to as SI quantities) with the same units: [7] = = = For example, the CGS volume magnetic susceptibility of water at 20 °C is 7.19 × 10 −7 , which is 9.04 × 10 −6 using the SI convention, both quantities being dimensionless.