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Encyclopedia > Admittance

In electrical engineering, the admittance (Y) is the inverse of the impedance (Z). The SI unit of admittance is the siemens. Oliver Heaviside coined the term in December 1887. Electrical engineers design power systems. ... Inverse typically means the opposite of something. ... In electrical engineering, Impedance is a measure of opposition to a sinusoidal electric current. ... The International System of Units (abbreviated SI from the French language name Système International dUnités) is the modern form of the metric system. ... The siemens (symbol: S) is the SI derived unit of electric conductance. ... Oliver Heaviside (May 18, 1850 – February 3, 1925) was a self-taught English engineer, mathematician and physicist who adapted complex numbers to the study of electrical circuits, developed techniques for applying Laplace transforms to the solution of differential equations, reformulated Maxwells field equations in terms of electric and magnetic... 1887 (MDCCCLXXXVII) is a common year starting on Saturday (click on link for calendar). ...

Y = Z^{-1} = 1/Z ,


Y is the admittance, measured in siemens
Z is the impedance, measured in ohms

Just as impedance is complex resistance, and the conductance G is the inverse G = 1/R of resistance R, admittance is also complex conductance. The siemens (symbol: S) is the SI derived unit of electric conductance. ... Ohm may refer to: The scientist Georg Ohm. ... Wikibooks Algebra has more about this subject: Complex numbers In mathematics, a complex number is an expression of the form a + bi, where a and b are real numbers, and i stands for one of the square roots of negative one (−1). ... Electrical resistance is a measure of the degree to which an electrical component opposes the passage of current. ... Electrical conductance is the reciprocal of electrical resistance. ...

Likewise, admittance is made up of a real part (the conductance), and an imaginary part (the susceptance B), shown by the equation In mathematics, the real numbers are intuitively defined as numbers that are in one-to-one correspondence with the points on an infinite line—the number line. ... In mathematics, an imaginary number (or purely imaginary number) is a complex number whose square is a negative real number. ... In electrical engineering, the susceptance (B) is the imaginary part of the admittance. ... In mathematics, one often (not quite always) distinguishes between an identity, which is an assertion that two expressions are equal regardless of the values of any variables that occur within them, and an equation, which may be true for only some (or none) of the values of any such variables. ...

Y = G + j B ,

The magnitude of admittance is given by:

left | Y right | = sqrt {G^2 + B^2} ,!


G is the conductance, measured in siemens
B is the susceptance, measured in siemens

See also

SI electromagnetism units Categories: Electromagnetism ...

External links

  • Conductance, Susceptance, and Admittance

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