how to generate barcode in ssrs report With good approximation, we can reduce it to Fig. in Software

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V2 1000 100I1 1000 100Vs =2000 50Vs
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13.21 A load ZL is connected to the output of a two-port device N (Fig. 13-30) whose terminal characteristics are given by V1 1=N V2 and I1 NI2 . Find (a) the T-parameters of N and (b) the input impedance Zin V1 =I1 .
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Fig. 13-30 (a) The T-parameters are de ned by [see (29)] V1 AV2 BI2 I1 CV2 DI2 The terminal characteristics of the device are V1 1=N V2 I1 NI2 By comparing the two pairs of equations we get A 1=N, B 0, C 0, and D N. (b) Three equations relating V1 , I1 , V2 , and I2 are available: two equations are given by the terminal characteristics of the device and the third equation comes from the connection to the load, V2 ZL I2 By eliminating V2 and I2 in these three equations, we get V1 ZL I1 =N 2 from which Zin V1 =I1 ZL =N 2
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Supplementary Problems
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13.22 The Z-parameters of the two-port network N in Fig. 13-22(a) are Z11 4s, Z12 Z21 3s, and Z22 9s. Find the input current i1 for vs cos 1000t (V) by using the open circuit impedance terminal characteristic equations of N, together with KCL equations at nodes A, B, and C. Ans: i1 0:2 cos 1000t 36:98 (A) Express the reciprocity criteria in terms of h-, g-, and T-parameters. Ans: h12 h21 0, g12 g21 0, and AD BC 1 Find the T-parameters of a two-port device whose Z-parameters are Z11 s, Z12 Z21 10s, and Z22 100s. Ans: A 0:1; B 0; C 10 1 =s, and D 10 Find the T-parameters of a two-port device whose Z-parameters are Z11 106 s, Z12 Z21 107 s, and Z22 108 s. Compare with the results of Problem 13.21.
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A 0:1; B 0; C 10 7 =s and D 10. For high frequencies, the device is similar to the device of Problem 13.21, with N 10.
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The Z-parameters of a two-port device N are Z11 ks, Z12 Z21 10ks, and Z22 100ks. A 1-
resistor is connected across the output port (Fig. 13-30). (a) Find the input impedance Zin V1 =I1 and construct its equivalent circuit. (b) Give the values of the elements for k 1 and 106 . Ans: a Zin ks 1 1 100ks 100 1=ks
The equivalent circuit is a parallel RL circuit with R 10 2
and L 1 kH: 1 1
and L 1 H. For k 106 ; R
and L 106 H b For k 1; R 100 100 13.27 The device p Fig. 13-30 is speci ed by its following Z-parameters: Z22 N 2 Z11 and N in Z12 Z21 Z11 Z22 NZ11 . Find Zin V1 =I1 when a load ZL is connected to the output terminal. Show that if Z11 ) ZL =N 2 we have impedance scaling such that Zin ZL =N 2 . Ans: 13.28 Zin ZL . N 2 ZL =Z11 For ZL ( N 2 Z11 ; Zin ZL =N 2 Hint: Use the series connection rule.
Find the Z-parameters in the circuit of Fig. 13-31. Ans: Z11 Z22 s 3 1=s; Z12 Z21 s 1
Fig. 13-31 13.29 Find the Y-parameters in the circuit of Fig. 13-32. Hint: Use the parallel connection rule. Ans: Y11 Y22 9 s 2 =16; Y12 Y21 3 s 2 =16
Fig. 13-32
TWO-PORT NETWORKS
[CHAP. 13
Two two-port networks a and b with transmission parameters Ta and Tb are connected in cascade (Fig. 1314). Given I2a I1b and V2a V1b , nd the T-parameters of the resulting two-port network. Ans: A Aa Ab Ba Cb , B Aa Bb Ba Db , C Ca Ab Da Cb , D Ca Bb Da Db
Find the T- and Z-parameters of the network in Fig. 13-33. The impedances of capacitors are given. Hint: Use the cascade connection rule. Ans: A 5j 4, B 4j 2, C 2j 4, and D j3, Z11 1:3 0:6j, Z22 0:3 0:6j, Z12 Z21 0:2 0:1j
Fig. 13-33 13.32 Find the Z-parameters of the two-port circuit of Fig. 13-34. Ans: Z11 Z22 1 Zb Za ; Z12 Z21 1 Zb Za 2 2
Fig. 13-34
Find the Z-parameters of the two-port circuit of Fig. 13-35. Ans: 1 Zb 2Za Zb 1 Z2 b ; Z12 Z21 2 Za Zb 2 Za Zb
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