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
Fundamentals of Electric Circuits
- Determine the 3-parameters of the two-port network below. 4 10052 tomm V₁ www 8452 15052 L₂ + V₂ 1arrow_forwardPractice Problem 19.6 Find the impedance at the input port of the cicuit in Fig. 19.27. Answer: 1.6667 kfl. b =2 ka = 10 b = 100 = 10s 30 ka Figure 19.27 For Practice Prob. 19.6.arrow_forwardFind the hybrid (h) parameters of the following two-port circuit.arrow_forward
- Practice Problem 19.6 Find the impedance at the input port of the circuit in Fig. 19.27. Answer: 1.6667 kN. h1 = 2 k2 h12 = 104 h21 = 100 h2 = 10-5 s 50 k2 %3D Zin Figure 19.27 For Practice Prob. 19.6.arrow_forwardAi, 62 Find the h parameters of the network in Fig. 19.49. 10 2arrow_forwardPractice Problem 19.6 Find the impedance at the imput port of the circuit in Fig. 19.27. =2 k Answer: 1.6667 kl. = 100 b= 10s 50 ka Figure 19.27 For Practice Prob. 19.6. rircut in F: 19.28arrow_forward
- Be able to calculate any set of two-port parameters Find the g and h parameters for the circuitarrow_forward19.20 Find the y parameters for the circuit in Fig. 19.81. 3i, 2Ω 4Ω 6Ω Figure 19.81 For Prob. 19.20.arrow_forwardFind The Impedance At The Input Port of the circuit in Fig. 19.27arrow_forward
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