Electric Circuits and Networks

16.9 CHARACTERISTIC IMPEDANCE AND PROPAGATION CONSTANT OF SYMMETRIC T AND PI NETWORKS UNDER SINUSOIDAL STEADY-STATE

Symmetric reactive T- and Π-networks are used in designing passive filters. This section discusses the characteristic impedance and propagation constant of T- and Π-networks to set the background for the discussion on passive filters in the subsequent sections.

The standard T- and Π-networks employing the same underlying phasor impedances Z₁ and Z₂ are shown in Fig. 16.9-1(a) and (b).

Consider the T-network first. Let Z_oT be the characteristic impedance of the T-network.

 

 

Let γ be the propagation constant of T-network. We expect ...