Coherent derived unit in the context of Derived SI unit

⭐ Core Definition: Coherent derived unit

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 form, including numerical factors, as the corresponding equations directly relating the quantities. It is a system in which every quantity has a unique unit, or one that does not use conversion factors.

A coherent derived unit is a derived unit that, for a given system of quantities and for a chosen set of base units, is a product of powers of base units, with the proportionality factor being one.

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⭐ Core Definition: Coherent derived unit
Coherent derived unit in the context of SI derived unit
Coherent derived unit in the context of Oersted

Coherent derived unit in the context of SI derived unit

SI derived units are units of measurement derived from theseven SI base units specified by the International System of Units (SI). They can be expressed as a product (or ratio) of one or more of the base units, possibly scaled by an appropriate power of exponentiation (see: Buckingham π theorem). Some are dimensionless, as when the units cancel out in ratios of like quantities.SI coherent derived units involve only a trivial proportionality factor, not requiring conversion factors.

The SI has special names for 22 of these coherent derived units (for example, hertz, the SI unit of measurement of frequency), but the rest merely reflect their derivation: for example, the square metre (m), the SI derived unit of area; and the kilogram per cubic metre (kg/m or kg⋅m), the SI derived unit of density.

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Coherent derived unit in the context of Oersted

The oersted (/ˈɜːrstɛd/, symbol Oe) is the coherent derived unit of the auxiliary magnetic field H in the CGS-EMU and Gaussian systems of units. It is equivalent to 1 dyne per maxwell.

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Coherent derived unit in the context of Derived SI unit

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⭐ Core Definition: Coherent derived unit

Coherent derived unit in the context of SI derived unit

Coherent derived unit in the context of Oersted