Concept explainers
For the bridge circuit in Fig. 19.108, obtain:
- (a) the z parameters
- (b) the h parameters
- (c) the transmission parameters
Figure 19.108
(a)
Calculate z parameters for the network in Figure 19.108 in the textbook.
Answer to Problem 61P
The z parameters for the given two-port network is
Explanation of Solution
Given Data:
Refer to Figure 19.108 in the textbook for the given two-port network.
Formula used:
Write the expressions for impedance parameters of a two-port network as follows:
Calculation:
The impedance parameters
Redraw the given two-port network by open circuiting the port-2 as shown in Figure 1.
Apply KCL at node
Apply KCL at node
Substitute
Apply KCL at node
Substitute
Substitute
Simplify the expression as follows:
Substitute
From Equation (5), substitute
Substitute
The impedance parameters
Redraw the given two-port network by open circuiting the port-1 as shown in Figure 2.
Apply KCL at node
Apply KCL at node
Substitute
Substitute
Apply KCL at node
Substitute
Substitute
Substitute
Substitute
From the calculations, write the z-parameters as follows:
Conclusion:
Thus, the z parameters for the given two-port network is
(b)
Calculate hybrid [h] parameters from the obtained impedance parameters.
Answer to Problem 61P
The hybrid parameters for the given circuit are
Explanation of Solution
Formula used:
From the TABLE 19.1 in the textbook for Conversion of two-port parameters and write the expression for hybrid parameters in terms of z parameters as follows:
Write the expression for
Calculation:
From Part (a), the z parameters are written as follows:
Substitute
Substitute
Conclusion:
Thus, the hybrid parameters for the given circuit are
(c)
Calculate transmission [T] parameters from the obtained impedance parameters.
Answer to Problem 61P
The transmission parameters for the given circuit are
Explanation of Solution
Formula used:
From the TABLE 19.1, write the expression for transmission parameters in terms of z parameters as follows:
Calculation:
Substitute
Conclusion:
Thus, the transmission parameters for the given circuit are
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Chapter 19 Solutions
FUND.OF ELECTRIC CIRCUITS(LL)-W/CONNECT
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