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The goal of the requirements phase is to elicit the requirements from the user. This is usually achieved by the development of diagrams and the requirement speci cation after discussions with the user. The user then reviews the diagrams and speci cation to determine if the software developer has understood the requirements. Thus, it is essential that the diagrams and speci cations communicate back to the user the essential aspects required of the software to be produced. The following sections describe the diagrams and requirement speci cation that are useful in achieving this communication.

0 5>9

Voltage v is the sum of the current-independent 10-V source and the current-dependent voltage source vx . Note that the factor 15 multiplying the control current carries the units . a b c v 10 vx 10 15 1 25 V v 10 vx 10 15 2 20 V v 10 15 0 10 V

1 29 > 36

Fig. 2-16

2 7 > 12

3.87. (a) 1 > 2 (b) 2 (useless) 3.92. (a) 0 (b) ln 2 (c) 1

(a) v 50 V,

3.94. (a) does not exist (b) 1 (c) 0 3.96. (a) 1 3.97. (a) #1

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The basic approach in an object-oriented (OO) methodology is to develop an object model (see Section 2.4) that describes that subset of the real world that is the problem domain. The purpose is modeling the problem domain and not designing an implementation. Thus, entities that are essential to understanding the problem will be included even if they are not going to be included in the solution. The attributes and methods included in the object model will also be those needed for understanding the problem and not those that will just be important for the solution. The following are rules for object models for requirements: 1. All real-world entities that are important to understanding the problem domain must be included. 2. All methods and attributes that are important to understanding the problem domain must be included. 3. Objects, attributes, and methods that are only signi cant for the implementation should not be included.

Fig. 2-17 Since the current enters the element at the negative terminal, a b p vi 50 8:5 425 W p vi 50 8:5 425 W

1 2 !3

3.95. (a) 3 (b) 3 (c) 3

Find the power delivered by the sources in the circuit of Fig. 2-18.

(b) 1 > 2 (23>2) (c) !1>2 (d) #1 (1> !10)

CHAP. 11]

(3> !10) (b) #1

3.98. (a) 1 (b) (!3

Fig. 11-1 pa t va t ia t Vp Ip cos Vp Ip cos 2!t pb t vb t ib t Vp Ip cos Vp Ip cos 2!t The total instantaneous power pT t delivered by the generator is pT t pa t pb t Vp Ip cos Vp Ip cos 2!t Vp Ip cos Vp Ip cos 2!t 2Vp Ip cos Thus, (4) pT t Pavg 2Vp Ip cos p In the system of Fig. 11-1(a), two voltage values Vp and 2Vp are available to the load and the power ow is constant. In addition, the 908-phase shift between the two voltages may be used to produce a special rotating magnetic eld needed in some applications.

Draw an object model for the library problem (see Example 2.6). See Fig. 8-1.

3.99. (a) 1 (b) 0.17 (c) 0.051 3.101. (a) (5 2!3)>3 (b) (3

Three-phase generators contain three sinusoidal voltage sources with voltages of the same frequency but a 1208-phase shift with respect to each other. This is realized by positioning three coils at 1208 electrical angle separations on the same rotor. Normally, the amplitudes of the three phases are also equal. The generator is then balanced. In Fig. 11-2, three coils are equally distributed about the circumference of the rotor; that is, the coils are displaced from one another by 120 mechanical degrees.

3.102. (a) 2 (b) 9

3.105. (a) 7 > 3 (b) 5 > 9 (c) (et 3.106. (a) 1 > 3 (b) 1 > 18 (c) 2(et 3.107. (a) 21 > 2 (b) 35 > 4 3.108. (a) 4 > 3 3e3t) > 6 (d) (eiv t) > t2 (d) 2(eiv 2e2iv 1 3e3iv)>6 7 > 27

Fig. 11-2

3.109. (a) 1 (b) 8(2 !2 3.110. (a) 2 (b) !2p>2 3.111. (a) 0 (b) 1 > 3 (c) 0

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