Explanation Given Data: The parameter y 22 is given as follows: y 22 = s 3 + 5 s s 4 + 10 s 2 + 8 Calculation: Consider Z A as 1 y 22 to synthesize the LC ladder network. Z A = 1 y 22 Substitute ( s 3 + 5 s s 4 + 10 s 2 + 8 ) for y 22 as follows: Z A = 1 ( s 3 + 5 s s 4 + 10 s 2 + 8 ) = s 4 + 10 s 2 + 8 s 3 + 5 s = s 4 + 5 s 2 s 3 + 5 s + 5 s 2 + 8 s 3 + 5 s = s ( s 3 + 5 s ) s 3 + 5 s + 5 s 2 + 8 s 3 + 5 s Z A = 1 s + 5 s 2 + 8 s 3 + 5 s (1) Consider an inductor exists at the end of the given network and write the general expression for Z A as follows: Z A = L 1 s + Z B (2) Compare Equation (2) with Equation (1) and obtain the values of L 1 and Z B as follows: L 1 = 1 H Z B = 5 s 2 + 8 s 3 + 5 s From the analysis, draw the assumed network as shown in Figure 1. Write the general expression for Y B as follows: Y B = s C 2 + Y C (3) From Figure 1, write the expression for Y B as follows: Y B = 1 Z B Substitute ( 5 s 2 + 8 s 3 + 5 s ) for Z B as follows: Y B = 1 ( 5 s 2 + 8 s 3 + 5 s ) = ( 1 5 ) ( s 3 + 5 s s 2 + 8 5 ) = ( 1 5 ) ( s 3 + 5 s s 2 + 1

6th Edition

ISBN: 9780078028229

Author: Charles K Alexander, Matthew Sadiku

Publisher: McGraw-Hill Education

See similar textbooks

Concept explainers

Transfer function

A transfer function (also known as system function or network function) of a system, subsystem, or component is a mathematical function that modifies the output of a system in each possible input. They are widely used in electronics and control systems.

Convolution Integral

Among all the electrical engineering students, this topic of convolution integral is very confusing. It is a mathematical operation of two functions f and g that produce another third type of function (f * g) , and this expresses how the shape of one is …

Question

Chapter 19, Problem 95P

To determine

Realize an LC ladder network for the given parameter y22.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 19, Problem 94P

Chapter 19, Problem 96P

Students have asked these similar questions

Example 1: There is a transfer function for a second-order system given as follows. 120 G(s)= s²+12s+120 Find 5,,, T, T, T., and %OS.

5. Please sketch a root locus manually for the following system. R(s) + E(s) C(s) k(s + 1) s² + 2s +2 Each branch in your root locus must be labeled with an arrow. Please answer the following questions. a. Is the closed-loop system stable as k is varying from 0 to co? Please find an answer to this question via root locus. b. What are finite zeros and poles? Are there infinite zeros? If so, how many?

-5. Draw the connection diagram for two parallel transformers with (A-A) connected?

Chapter 19 Solutions

Fundamentals of Electric Circuits

Ch. 19.2 - Find the z parameters of the two-port network in...Ch. 19.2 - Calculate I1 and I2 in the two-port of Fig. 19.11....Ch. 19.3 - Obtain the y parameters for the T network shown in...Ch. 19.3 - Obtain the y parameters for the circuit in Fig....Ch. 19.4 - Determine the h parameters for the circuit in Fig....Ch. 19.4 - Find the impedance at the input port of the...Ch. 19.4 - For the ladder network in Fig. 19.30, determine...Ch. 19.5 - Find the transmission parameters for the circuit...Ch. 19.5 - Prob. 9PP Ch. 19.6 - Determine [y] and [T] of a two-port network whose...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Realize an LC ladder network for the given parameter y 22 .

Solution Summary: The author analyzes the parameter y_22 to synthesize the LC ladder network.

Concept explainers

Realize an LC ladder network for the given parameter y22.

Want to see the full answer?

Chapter 19 Solutions