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Three design attributes are as follows: Abstraction An object is abstract if unnecessary details are removed. Similarly, abstraction in art tries to convey an image with just a few details.

If this has a relative maximum, it will occur where the derivative is zero, i.e., 1bu(v1>2) 2(v2 v1u)

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

v1 2

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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.

v1u)

[(v1 v2)>2] 1

CHAP. 13]

v1u)

Ans:

v1u)

Abstraction in software design tries to let the designer focus on the essential issues without regard to unnecessary low-level details. Good abstraction hides the unnecessary details. Cohesion A material is cohesive if it sticks together. A procedure is cohesive if all the statements in the procedure are related to every output. A class is cohesive if all the attributes in the class are used by every method. That is, cohesion in a module is achieved if everything is related. High cohesion is generally considered desirable. Originally, cohesion was de ned in terms of types of cohesion.3 The types included coincidental, logical, temporal, procedural, communicational, sequential, and functional. Temporal cohesion was when all functions were grouped together, since they had to be performed at the same time. Logical cohesion was when the functions logically belonged together. Coupling Coupling is a measure of how interconnected modules are. Two modules are coupled if a change to a variable in one module may require changes in the other module. Usually the lowest coupling is desirable.

[(v1 v2)>2] 1,

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.

4.47. Using the table for the F distribution in Appendix F, find (a) F0.95,10,15, (b) F0.99,15,9, (c) F0.05,8,30, (d) F0.01,15,9.

The Z-parameters of a two-port device N are Z11 ks, Z12 Z21 10ks, and Z22 100ks. A 1-

(a) From Appendix F, where v1 (b) From Appendix F, where v1 10, v2 15, v2 15, we find F0.95,10,15 9, we find F0.99,15,9 2.54. 4.96.

(c) By Theorem 4-8, page 117, F0.05,8,30 (d) By Theorem 4-8, page 117, F0.01,15,9

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

1 F0.95,30,8 1 F0.99,9,15

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