Synthesis of electrical networks

H. Baher

Chapter 8 Synthesis of Commensurate Distributed Networks - all with Video Answers

Educators

Chapter Questions

Problem 1

Show that the p.r. impedance
$$
Z(\lambda)=\frac{0.5 \lambda^3+26 \lambda^2+8.5 \lambda+10}{20 \lambda^3+8 \lambda^2+16 \lambda+1}
$$
is realizable as the driving-point impedance of a resistor erminated cascade of UEs and hence find the network using:
(a) Richards' theorem.
(b) The explicit formulae (8.37) to (8.43).

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04:04

Problem 2

Realize the following reactance function, once as an all-stub ladder
and a second time as a cascade of UEs terminated in a short-circuit or an open-circuit.
$$
Z(\lambda)=\frac{\lambda^4+6 \lambda^2+8}{\lambda^5+8 \lambda^3+15 \lambda}
$$

Khoobchandra Agrawal

Numerade Educator

03:14

Problem 3

Realize the following p.r. impedance
$$
Z(\lambda)=\frac{\lambda^3+3.5 \lambda^2+6 \lambda}{\lambda^3+4 \lambda^2+6 \lambda+10}
$$

Khoobchandra Agrawal

Numerade Educator

Problem 4

(a) Form the input impedance of the $1 \Omega$-terminated lossless two-port whose transducer power gain is given by
$$
\left\lvert\, S_{21}\left(\left.j \Omega\right|^2=\frac{1}{1+10 \Omega^6}\right.\right.
$$
(b) Realize the driving-point impedance obtained in (a) as a $1 \Omega$ terminated all-stub ladder.
(c) Use the Kuroda transformations to introduce UEs to achieve physical separation of the stubs in the realization obtained in (b).

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03:32

Problem 5

Consider the transfer function
$$
S_{21}(\lambda)=\frac{\lambda\left(1-\lambda^2\right)}{\lambda^3+2 \lambda^2+2 \lambda+1}
$$

Show that $S_{21}(\lambda)$ is realizable as the transmission coefficient of an interdigital network. Realize the function using the equivalent circuit of the interdigital line (Fig. 8.18).

Prachita Kush

Numerade Educator