Synthesis of electrical networks

H. Baher

Chapter 7 Synthesis of Special Configurations - all with Video Answers

Educators

Chapter Questions

Problem 1

Consider the impedance
$$
Z(p)=\frac{2 p^3+2 p^2+2 p+1}{2 p^2+2 p+1}
$$
(a) Show that $Z(p)$ is a p.r.f.
(b) Calculate the even-part of $Z(p)$, hence determine the locations of the zeros of transmission.
(c) Realize $Z(p)$ as a resistor-terminated lossless two-port, without the use of coupled coils or ideal transformers.

Prachita Kush

Numerade Educator

Problem 2

A lossless two-port has the transducer power gain
$$
\left|S_{21}(j \omega)\right|^2=\frac{1}{1+\omega^6}
$$
with $1 \Omega$ reference resistors. Calculate the input impedance of the $1 \Omega$ terminated lossless two-port and find the realization.

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02:18

Problem 3

Realize the transducer power gain (referred to $1 \Omega$ resistors),
$$
\left|S_{21}(j \omega)\right|^2=\frac{1}{1+\omega^2\left(4 \omega^2-3\right)^2}
$$
as that of a lossless ladder.

Narayan Hari

Numerade Educator

Problem 4

Realize the transfer function
$$
S_{21}(p)=\frac{p^5}{1+3.236 p+5.236 p^2+5.236 p^3+3.236 p^4+p^5}
$$
as the transmission coefficient of a $1 \Omega$ doubly terminated lossless two-port.

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01:41

Problem 5

Show that the driving-point impedance
$$
Z(p)=\frac{5 p^2+4 p+8}{6 p^3+5 p^2+16 p+8}
$$
satisfies Fujisawa's Theorem for the mid-shunt ladder and find the realization.

Narayan Hari

Numerade Educator