Concept explainers
Calculate z and y parameters for the two-port network in Figure 19.78 in the textbook.
Answer to Problem 17P
The z and y parameters for the given two-port network are
Explanation of Solution
Given Data:
Refer to Figure 19.78 in the textbook for the given two-port network.
Formula used:
Write the expressions for impedance parameters of a two-port network as follows:
Refer to the TABLE 19.1 in the textbook and write the expression for admittance parameters in terms of z parameters as follows:
Write the expression for
Calculation:
The impedance parameters
Draw the given circuit as shown in Figure 1 to obtain the parameters
In Figure 1,
From Equation (5),
From Figure 1, write the expression for
From Figure 1, write the expression for
From Figure 1, write the expression for
Substitute
Rearrange the expression as follows:
Substitute
The impedance parameters
Draw the given circuit as shown in Figure 2 to obtain the parameters
In Figure 2,
From Equation (8),
From Figure 2, write the expression for
From Figure 2, write the expression for
From Figure 2, write the expression for
Substitute
Rearrange the expression as follows:
Substitute
From the analysis, the impedance parameters for the given two-port network are written as follows:
Convert the obtained z parameters into admittance parameters to obtain the admittance parameters for the given two-port network.
Substitute
Substitute
Conclusion:
Thus, the z and y parameters for the given two-port network are
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Chapter 19 Solutions
Fundamentals of Electric Circuits
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