Although the default CGS system does not include units of electricity or magnetism, the electrostatic and electromagnetic systems, which are also based in the centimeter, gram, and second, do. Maxwell's equations can be written in each of these systems as:[9][11].
2 k
λ A Furthermore, within CGS, there are several plausible ways to define electromagnetic quantities, leading to different "sub-systems", including Gaussian units, "ESU", "EMU", and Lorentz–Heaviside units. 1 One can think of the SI value of the Coulomb constant kC as: This explains why SI to ESU conversions involving factors of c2 lead to significant simplifications of the ESU units, such as 1 statF = 1 cm and 1 statΩ = 1 s/cm: this is the consequence of the fact that in ESU system kC = 1. This leads to a choice between two laws of magnetism, each relating magnetic field to mechanical quantities and electric charge: These two laws can be used to derive Ampère's force law above, resulting in the relationship: . Answered
→
μ Then we have[9] (generally) Although the default CGS system does not include units of electricity or magnetism, the electrostatic and electromagnetic systems, which are also based in the centimeter, gram, and second, do. A k The CGS system goes back to a proposal in 1832 by the German mathematician Carl Friedrich Gauss to base a system of absolute units on the three fundamental units of length, mass and time. = c
Hence, neither charge nor current is an independent physical quantity in EMU CGS. In this table, c = 29979245800 is the dimensionless numeric value of the speed of light in vacuum when expressed in units of centimetres per second.
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= Also, lack of unique unit names leads to a great confusion: thus "15 emu" may mean either 15 abvolts, or 15 emu units of electric dipole moment, or 15 emu units of magnetic susceptibility, sometimes (but not always) per gram, or per mole. The unit of mass is gram (g). {\displaystyle k_{\rm {A}}=1} 1 2 The unit of mass is a pound (Lb). B
L
C Therefore, in CGS-ESU, a franklin is equal to a centimetre times square root of dyne: Dimensionally in the CGS-ESU system, charge q is therefore equivalent to M1/2L3/2T−1. 1
Cgs Unit of Mass.
that the nonrationalized CGS system can be somewhat more convenient notationally.
Centigram (cg) 0.01 gram or 1/100 gram. k 2
M 0
English | Français | Deutsch | 日本語, © Maplesoft, a division of Waterloo Maple Inc. 2020. Therefore, 100 m = 100 X 100 cm = 10,000 cm. However, the freedom of choice in deriving electromagnetic units from the units of length, mass, and time is not limited to the definition of charge. In SI, and other rationalized systems (for example, Heaviside–Lorentz), the unit of current was chosen such that electromagnetic equations concerning charged spheres contain 4π, those concerning coils of current and straight wires contain 2π and those dealing with charged surfaces lack π entirely, which was the most convenient choice for applications in electrical engineering. Two fundamental laws relate (seemingly independently of each other) the electric charge or its rate of change (electric current) to a mechanical quantity such as force. Log in. C [13]:3, All electromagnetic units in ESU CGS system that do not have proper names are denoted by a corresponding SI name with an attached prefix "stat" or with a separate abbreviation "esu".[12]. In measurements of purely mechanical systems (involving units of length, mass, force, energy, pressure, and so on), the differences between CGS and SI are straightforward and rather trivial; the unit-conversion factors are all powers of 10 as 100 cm = 1 m and 1000 g = 1 kg.
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