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16.10. PROBLEMS

16.1 Given the two networks in the figure, find the Y parameters for the circuit in Fig. P16.1 (a) and the Z parameters for the circuit in Fig. P16.1 (b). Calculate (a) y11, (b) y12, (c) y21, (d) y22, (e) z11, (f) z12, (g) z21, (h)Z22 if ZL = 30 Ω.

Figure P16.1. Figure P16.1

16.2 Find the Y parameters for the two-port network shown in Fig. P16.2.

Figure P16.2. Figure P16.2

16.3 Find the Y parameters ((a) y11, (b) y12, (c) y21, (d) y22) for the two-port network in Fig. P16.3.

Figure P16.3. Figure P16.3

16.4 Determine the Y parameters ((a) y11, (b) y12, (c) y21, (d) y22) for the network in Fig. P16.4.

Figure P16.4. Figure P16.4

16.5 Determine the admittance parameters for the network shown in Fig. P16.5.

Figure P16.5. Figure P16.5

16.6 Find the Y parameters for the two-port network in Fig. P16.6.

Figure P16.6. Figure P16.6

16.7 Find the Z parameters for the two-port network in Fig. P16.7.

Figure P16.7. Figure P16.7

16.8 Find the Z parameters for the two-port network shown in Fig. P16.8 and determine the voltage gain of the entire circuit with a 4-kΩ load attached to the output.

Figure P16.8. Figure P16.8

16.9 Find the Z parameters for the two-port network shown in Fig. P16.9 and determine the voltage gain of the entire circuit with a 4-kΩ load attached to the output.

Figure P16.9. Figure P16.9

16.10 Determine the input impedance of the network shown in Fig. P16.10 in terms of the Z parameters and the load impedance Z.

Figure P16.10. Figure P16.10

16.11 Find the voltage gain of the two-port network in Fig. P16.10 if a 12-kΩ load is connected to the output port.

16.12 Find the input impedance of the network in Fig. P16.10.

16.13 Find the Y parameters for the network in Fig. P16.13.

Figure P16.13. Figure P16.13

16.14 Find the Z parameters for the network in Fig. P16.14.

Figure P16.14. Figure P16.14

16.15 Find the Z parameters of the two-port network in Fig. P16.15.

Figure P16.15. Figure P16.15

16.16 Given the network in Fig. P16.16, (a) find the Z parameters for the transformer, (b) write the terminal equation at each end of the two-port, and (c) use the information obtained to find V2.

Figure P16.16. Figure P16.16

16.17 Find the Z parameters for the network in Fig. P16.17.

Figure P16.17. Figure P16.17

16.18 Find the Z parameters for the two-port network shown in Fig. P16.18 and determine the voltage gain of the entire circuit with a 4-kΩ load attached to the output.

Figure P16.18. Figure P16.18

16.19 Find the Z parameters for the two-port network shown in Fig. P16.19.

Figure P16.19. Figure P16.19

16.20 Find the Z parameters (enter imaginary parts of (a) z11, (b) z12, (c) z21, (d) z22) for the two-port network in Fig. P16.20 at ω = 2 kHz L1 = 32 mH, L2 = 12 mH, M = 8 mH.

Figure P16.20. Figure P16.20

16.21 Determine the Z parameters for the two-port network in Fig. P16.21.

Figure P16.21. Figure P16.21

16.22 Determine (a) R1, (b) R2, (c) R3 in the circuit diagram shown in Fig. P16.22 that has the following Y parameters.

Figure P16.22. Figure P16.22

16.23 Determine Z1 ((a) real part and (b) imaginary part), Z2 ((c) real part and (d) imaginary part), Z3 ((e) real part and (f) imaginary part) in the circuit diagram shown in Fig. P16.23 that has the following Z parameters (all in ohms):

Figure P16.23. Figure P16.23

16.24 Compute the hybrid parameters for the network in Fig. E16.21.

16.25 Compute the hybrid parameters ((a) h11, (b) h12, (c) h21, (d) h22) for the network in Fig. P16.25.

Figure P16.25. Figure P16.25

16.26 Find the hybrid parameters for the network in Fig. P16.23.

16.27 Consider the network in Fig. P16.27. The two-port network is a hybrid model for a basic transistor. Determine the voltage gain of the entire network, V2/Vs, if a source Vs with internal resistance R1 is applied at the input to the two-port network and a load RL is connected at the output port.

Figure P16.27. Figure P16.27

16.28 Consider the network in Fig. P16.28. The two-port network is a hybrid model for a basic transistor. Determine the voltage gain of the entire network, V2/VS, if a source VS with internal resistance R1 is applied at the input to the two-port network and a load RL is connected at the output port.

Figure P16.28. Figure P16.28

16.29 Determine the hybrid parameters for the network in Fig. P16.29. R1 = 30 Ω, R2 = 21 Ω, C = 170 mF, α = 0.8, ω = 100 radians per second.

Figure P16.29. Figure P16.29

16.30 Find the ABCD parameters for the networks in Fig. P16.1.

16.31 Find the transmission parameters for the network in network Fig. P16.31.

Figure P16.31. Figure P16.31

P16.32 Given the network in Fig. P16.32, find the transmission parameters for the two-port network and then find I0 using the terminal conditions.

Figure P16.32. Figure P16.32

Enter arguments from 0 to 2π.

16.33 Find the voltage gain V2/V1 for the network in Fig. P16.33 using the ABCD parameters.

Figure P16.33. Figure P16.33

16.34 Find the input admittance of the two-port in Fig. P16.34 if the Y parameters are y11 = 17 S, y12 = −16 S, y211 = −16 S, y22 = 17 S and the load YL is 8 S.

Figure P16.34. Figure P16.34

16.35 Find the voltage gain V2/V1 for the network in Fig. P16.35 using the Z parameters.

Figure P16.35. Figure P16.35

16.36 Draw the circuit diagram (with all passive elements in ohms) for a network that has the following Y parameters:



16.37 Draw the circuit diagram for a network that has the following Z parameters:



16.38 Following are the hybrid parameters for a network:



Determine the Y parameters for the network.

16.39 If the Y parameters for a network are known to be



find the Z parameters ((a) z11, (b) z12, (c) z21, (d) z22).

16.40 Find the Z parameters ((a) z11, (b) z12, (c) z21, (d) z22) if a = 3, b = 5 Ω, c = 4 S, d = 9.

16.41 Find the hybrid parameters in terms of the Z parameters.

16.42 Find the transmission parameters for the two-port in Fig. P16.42.

Figure P16.42. Figure P16.42

16.43 Find the transmission parameters for the two-port in Fig. P16.43 and then use the terminal conditions to compute I0.

Figure P16.43. Figure P16.43

16.44 Find the Y parameters for the network in Fig. P16.44.

Figure P16.44. Figure P16.44

16.45 Find the Y parameters for the network in Fig. P16.45.

Figure P16.45. Figure P16.45

16.46 Determine the Y parameters ((a) y11, (b) y12 (c) y21, (d) y22) for the network shown in Fig. P16.46.

Figure P16.46. Figure P16.46

16.47 Find the Y parameters of the two-port network in Fig. P16.47. Find the input admittance of the network when the capacitor is connected to the output port.

Figure P16.47. Figure P16.47

16.48 Find the input admittance of the network when the capacitor is connected to the output port as shown in Fig. P16.48.

Figure P16.48. Figure P16.48

16.49 Find the transmission parameters of the network in Fig. E16.4 by considering the circuit to be a cascade interconnection of three two-port networks as shown in Fig. P16.49.

Figure P16.49. Figure P16.49

16.50 Find the Y parameters for the network in Fig. P16.50.

Figure P16.50. Figure P16.50

16.51 Find the transmission parameters ((a) A, (b) B, (c) C, (d) D) of the network by considering the circuit to be a cascade interconnection of three two-port networks as shown in Fig. P16.51.

Figure P16.51. Figure P16.51

16.52 Find the ABCD parameters for the circuit in Fig. P16.52.

Figure P16.52. Figure P16.52

16.53 Determine the output voltage Vo in the network in Fig. P16.53 if the Z parameters for the two-port are

Figure P16.53. Figure P16.53

16.54 Find the Z parameters for the two-port network in Fig. P16.54 and then determine Io for the specified terminal conditions.

Figure P16.54. Figure P16.54

Enter arguments from 0 to 2π.

16.55 Determine the output voltage Vo in the network in Fig. P16.55 if the Z parameters for the two-port are

Figure P16.55. Figure P16.55

Enter arguments from 0 to 2π.

16.56 Find the transmission parameters of the two-port in Fig. 16.56 and then use the terminal conditions to compute Io.

Figure P16.56. Figure P16.56


  

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