Ernst angle

2013-04-16T13:16:07Z

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[[File:TransmissionLineDefinitions.svg|thumb|310px|A [[transmission line]] is drawn as two black wires. At a distance ''x'' into the line, there is current [[phasor]] ''I(x)'' traveling through each wire, and there is a [[voltage difference]] phasor ''V(x)'' between the wires (bottom voltage minus top voltage). If <math>Y_0</math> is the '''characteristic admittance''' of the line, then <math>I(x) / V(x) = Y_0</math> for a wave moving rightward, or <math>I(x)/V(x) = -Y_0</math> for a wave moving leftward.]]
'''Characteristic admittance''' is the mathematical inverse of the [[characteristic impedance]].
The general expression for the characteristic admittance of a transmission line is:

:<math>Y_0=\sqrt{\frac{G+j\omega C}{R+j\omega L}}</math>
where
:<math>R</math> is the [[Electrical resistance|resistance]] per unit length,
:<math>L</math> is the [[inductance]] per unit length,
:<math>G</math> is the [[Electrical conductance|conductance]] of the dielectric per unit length,
:<math>C</math> is the [[capacitance]] per unit length,
:<math>j</math> is the [[imaginary unit]], and
:<math>\omega</math> is the [[angular frequency]].

The current and voltage [[Phasor (electronics)|phasor]]s on the line are related by the characteristic admittance as:
:<math>\frac{I^+}{V^+} = Y_0 = -\frac{I^-}{V^-}</math>
where the superscripts <math>+</math> and <math>-</math> represent forward- and backward-traveling waves, respectively.
==See also==
* [[Characteristic impedance]]

==References==
*{{cite book
| last = Guile
| first = A. E.
| title = Electrical Power Systems
| year = 1977
| isbn = 0-08-021729-X }}
*{{cite book
| last = Pozar
| first = D. M.
| title = Microwave Engineering
| edition = 3rd edition
|date=February 2004
| isbn = 0-471-44878-8 }}
*{{cite book
| last = Ulaby
| first = F. T.
| title = Fundamentals Of Applied Electromagnetics
| edition = media edition
| year = 2004
| publisher = Prentice Hall
| isbn = 0-13-185089-X }}

{{DEFAULTSORT:Characteristic Admittance}}
[[Category:Electricity]]
[[Category:Physical quantities]]
[[Category:Distributed element circuits]]

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Ernst angle