In electrical engineering, admittance is a measure of how easily a circuit or device will allow a current to flow. It is defined as the reciprocal of impedance, analogous to how conductance & resistance are defined. The SI unit of admittance is the siemens (symbol S); the older, synonymous unit is mho, and its symbol is ℧ (an upside-down uppercase omega Ω). Oliver Heaviside coined the term admittance in December 1887.
Admittance is defined as
Y ≡ 1 Z {\displaystyle Y\equiv {\frac {1}{Z}}\,}where
Y is the admittance, measured in siemensZ is the impedance, measured in ohmsResistance is a measure of the opposition of a circuit to the flow of a steady current, while impedance takes into account not only the resistance but also dynamic effects (known as reactance). Likewise, admittance is not only a measure of the ease with which a steady current can flow, but also the dynamic effects of the material's susceptance to polarization:
Y = G + j B {\displaystyle Y=G+jB\,}where
Y {\displaystyle Y} is the admittance, measured in siemens. G {\displaystyle G} is the conductance, measured in siemens. B {\displaystyle B} is the susceptance, measured in siemens. j 2 = − 1 {\displaystyle j^{2}=-1}The dynamic effects of the material's susceptance relate to the universal dielectric response, the power law scaling of a system's admittance with frequency under alternating current conditions.
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