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The metre, kilogram, second system of units, also known more briefly as MKS units or the MKS system, [1] [2] [3] is a physical system of measurement based on the metre, kilogram, and second (MKS) as base units. Distances are described in terms of metres, mass in terms of kilograms and time in seconds.
For example, the CGS unit of force is the dyne, which is defined as 1 g⋅cm/s 2, so the SI unit of force, the newton (1 kg⋅m/s 2), is equal to 100 000 dynes. On the other hand, in measurements of electromagnetic phenomena (involving units of charge , electric and magnetic fields, voltage , and so on), converting between CGS and SI is less ...
The CGS-to-SI correspondence of electromagnetic units as given was exact prior to the 2019 revision of the SI, until which the magnetic constant μ 0 was defined as 4π × 10 −7 N⋅A −2. As from the redefinition, μ 0 has an inexactly known value when expressed in SI units, with the exactness of the electromagnetic unit correspondence ...
A number of variations on the metric system have been in use. These include gravitational systems, the centimetre–gram–second systems (cgs) useful in science, the metre–tonne–second system (mts) once used in the USSR and the metre–kilogram–second system (mks).
MKS system of units formed the basis for SI. Centimetre–gram–second system of units was the principal variant of the metric system that evolved in stages until it was superseded by SI. Gravitational metric system was a little-used variant of the metric system that normalised the acceleration due to gravity.
It was a coherent metric system of units, much as SI (itself a refinement of the MKS system) and the centimetre–gram–second system (CGS), but with larger units for industrial use, whereas the CGS system was regarded as only really suitable for laboratory use. [2] [3]
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.
James Clerk Maxwell played a major role in developing the concept of a coherent CGS system and in extending the metric system to include electrical units.. A coherent system of units is a system of units of measurement used to express physical quantities that are defined in such a way that the equations relating the numerical values expressed in the units of the system have exactly the same ...