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dual impedance : ウィキペディア英語版
dual impedance
Dual impedance and dual network are terms used in electronic network analysis. The dual of an impedance Z is its reciprocal, or algebraic inverse Z'=\frac. For this reason the dual impedance is also called the inverse impedance. Another way of stating this is that the dual of Z is the admittance Y'=Z.
The dual of a network is the network whose impedances are the duals of the original impedances. In the case of a black-box network with multiple ports, the impedance looking into each port must be the dual of the impedance of the corresponding port of the dual network.
This is consistent with the general notion duality of electric circuits, where the voltage and current are interchanged, etc., since Z=\frac yields Z'=\frac〔Ghosh, pp.50-51〕


==Scaled and normalised duals==

In physical units, the dual is taken with respect to some nominal or characteristic impedance. To do this, Z and Z' are scaled to the nominal impedance Z0 so that
\frac=\frac
Z0 is usually taken to be a purely real number R0, so Z' is changed by a real factor of R02. In other words, the dual circuit is qualitatively the same circuit but all the component values are scaled by R02.〔Redifon, p.44〕 The scaling factor R02 has the dimensions of Ω2, so the constant 1 in the unitless expression would actually be assigned the dimensions Ω2 in a dimensional analysis.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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