In
electrical engineeringElectrical engineering, sometimes referred to as electrical and electronic engineering, is a field of engineering that deals with the study and application of electricity, electronics and electromagnetism. The field first became an identifiable occupation in the late nineteenth century after...
, the
susceptance (
B) is the imaginary part of the
admittanceIn electrical engineering, the admittance is the inverse of the impedance . The SI unit of admittance is the siemens. Oliver Heaviside coined the term in December 1887....
. In
SISi, si, or SI may refer to :- Places :* Mount Si, a mountain in state of Washington* Si County, county in Anhui, China* Si River, a river in China* Slovenia, a European nation Si, si, or SI may refer to (all SI unless otherwise stated):- Places :* Mount Si, a mountain in state of Washington* Si...
units, the susceptance is measured in
siemensThe siemens is the SI derived unit of electric conductance. It is equal to inverse ohm. It is named after the German inventor and industrialist Ernst Werner von Siemens, and was previously called the mho. In English, the term siemens is used both for the singular and plural...
.
Oliver HeavisideOliver Heaviside was a self-taught English electrical engineer, mathematician, and physicist who adapted complex numbers to the study of electrical circuits, invented mathematical techniques to the solution of differential equations , reformulated Maxwell's field equations in terms of electric and...
first defined this property, which he called
permittance, in June 1887.
Discussion
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In
electrical engineeringElectrical engineering, sometimes referred to as electrical and electronic engineering, is a field of engineering that deals with the study and application of electricity, electronics and electromagnetism. The field first became an identifiable occupation in the late nineteenth century after...
, the
susceptance (
B) is the imaginary part of the
admittanceIn electrical engineering, the admittance is the inverse of the impedance . The SI unit of admittance is the siemens. Oliver Heaviside coined the term in December 1887....
. In
SISi, si, or SI may refer to :- Places :* Mount Si, a mountain in state of Washington* Si County, county in Anhui, China* Si River, a river in China* Slovenia, a European nation Si, si, or SI may refer to (all SI unless otherwise stated):- Places :* Mount Si, a mountain in state of Washington* Si...
units, the susceptance is measured in
siemensThe siemens is the SI derived unit of electric conductance. It is equal to inverse ohm. It is named after the German inventor and industrialist Ernst Werner von Siemens, and was previously called the mho. In English, the term siemens is used both for the singular and plural...
.
Oliver HeavisideOliver Heaviside was a self-taught English electrical engineer, mathematician, and physicist who adapted complex numbers to the study of electrical circuits, invented mathematical techniques to the solution of differential equations , reformulated Maxwell's field equations in terms of electric and...
first defined this property, which he called
permittance, in June 1887.
Formula
The general equation defining admittance is given by
where
- Y is the admittance
In electrical engineering, the admittance is the inverse of the impedance . The SI unit of admittance is the siemens. Oliver Heaviside coined the term in December 1887....
, measured in siemens (a.k.a. mho, the inverse of ohm).
- G is the conductance
Electrical conductance is a measure of how easily electricity flows along a certain path through an electrical element. The SI derived unit of conductance is the siemens...
, measured in siemens.
- j is the imaginary unit
In mathematics, physics, and engineering, the imaginary unit is denoted by i or the Latin j or the Greek iota...
, and
- B is the susceptance, measured in siemens.
Rearranging yields
.
But since
,
we obtain
.
The admittance (
Y) is the inverse of the impedance (
Z)
or
where
- Z is the impedance
Electrical impedance, or simply impedance, describes a measure of opposition to a sinusoidal alternating current . Electrical impedance extends the concept of resistance to AC circuits, describing not only the relative amplitudes of the voltage and current, but also the relative phases...
, measured in ohms
- R is the resistance
The electrical resistance of an object is a measure of its opposition to the passage of a steady electric current. An object of uniform cross section will have a resistance proportional to its length and inversely proportional to its cross-sectional area, and proportional to the resistivity of the...
, measured in ohms
- X is the reactance, measured in ohms.
Note: The susceptance is the imaginary part of the admittance.
The magnitude of admittance is given by:
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