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A Z-parameter matrix describes the behaviour of any linear electrical network that can be regarded as a black box with a number of ports.A port in this context is a pair of electrical terminals carrying equal and opposite currents into and out-of the network, and having a particular voltage between them.
In electrical engineering, impedance is the opposition to alternating current presented by the combined effect of resistance and reactance in a circuit. [1]Quantitatively, the impedance of a two-terminal circuit element is the ratio of the complex representation of the sinusoidal voltage between its terminals, to the complex representation of the current flowing through it. [2]
A surge of energy on a finite transmission line will see an impedance of prior to any reflections returning; hence surge impedance is an alternative name for characteristic impedance. Although an infinite line is assumed, since all quantities are per unit length, the “per length” parts of all the units cancel, and the characteristic ...
We can now write, = where V and I are the complex scalars in the voltage and current respectively and Z is the complex impedance. This form of Ohm's law, with Z taking the place of R, generalizes the simpler form. When Z is complex, only the real part is responsible for dissipating heat. In a general AC circuit, Z varies strongly with the ...
Iterative impedance of a simple generic L-circuit. A simple generic L-circuit is shown in the diagram consisting of a series impedance Z and a shunt admittance Y.The iterative impedance of this network, Z IT, in terms of its output load (also Z IT) is given by, [4] [5] [6] [7]
Equivalent circuit of an unbalanced transmission line (such as coaxial cable) where: 2/Z o is the trans-admittance of VCCS (Voltage Controlled Current Source), x is the length of transmission line, Z(s) ≡ Z o (s) is the characteristic impedance, T(s) is the propagation function, γ(s) is the propagation "constant", s ≡ j ω, and j 2 ≡ −1.
where z = Z / Z 0 , i.e., the complex impedance, Z, normalized by the reference impedance, Z 0. The impedance Smith chart is then an Argand plot of impedances thus transformed. Impedances with non-negative resistive components will appear inside a circle with unit radius; the origin will correspond to the reference impedance, Z 0.
Heaviside probably chose Y simply because it is next to Z in the alphabet, the conventional symbol for impedance. [2] Admittance Y, measured in siemens, is defined as the inverse of impedance Z, measured in ohms: Resistance is a measure of the opposition of a circuit to the flow of a steady current, while impedance takes into account not only ...