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Find the readings of two wattmeters used to measure the total average power Ans: 111:9 W; 417:7 W Obtain the readings of two wattmeters in a three-phase, three-wire system having e ective line voltage 240 V and balanced, -connected load impedances 20 808 Ans: 1706 W; 3206 W A three-phase, three-wire, ABC system, with line voltage VBC 311:1 08 V, has line currents IA 61:5 116:68 A IB 61:2 48:08 A IC 16:1 2188 A.

(area between 0 and z)

4.14. The mean weight of 500 male students at a certain college is 151 lb and the standard deviation is 15 lb. Assuming that the weights are normally distributed, find how many students weigh (a) between 120 and 155 lb, (b) more than 185 lb.

CHAP. 11]

(a) Weights recorded as being between 120 and 155 lb can actually have any value from 119.5 to 155.5 lb, assuming they are recorded to the nearest pound (Fig. 4-12). 119.5 lb in standard units 155.5 lb in standard units (119.5 2.10 (155.5 0.30 151)>15 151)>15

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Find the readings of wattmeters in lines (a) A and B, (b) B and C, and (c) A and C. Ans: a 5266 W, 6370 W; (b) 9312 W, 2322 W; (c) 9549 W, 1973 W 11.36 A three-phase, three-wire, ABC system has an e ective line voltage 440 V. IA 27:9 908 A IB 81:0 9:98 A The line currents are

Required proportion of students (area between z (area between z (area between z 0.4821 0.1179 2.10 and z 2.10 and z 0 and z 0.6000 300 0.30) 0) 0.30)

Then the number of students weighing between 120 and 155 lb is 500(0.6000)

Obtain the readings of wattmeters in lines (a) A and B, (b) B and C Ans: a 752 kW, 248 kW; (b) 1616 kW, 1616 kW 1137 Two wattmeters in a three-phase, three-wire system with e ective line voltage 120 V read 1500 W and 500 W What is the impedance of the balanced -connected load Ans: 16:3 40:98 A three-phase, three-wire, ABC system has e ective line voltage 1732 V Wattmeters in lines A and B read 301 W and 1327 W, respectively Find the impedance of the balanced Y-connected load (Since the sequence is speci ed, the sign of the impedance angle can be determined) Ans: 10 708 A three-phase, three-wire system, with a line voltage VBC 339:4 08 V, has a balanced Y-connected load of ZY 15 608 The lines between the system and the load have impedances 2:24 26:578 .

6. Draw a use case diagram for the dental o ce problem (see Problem 4.2). See Fig. 8-13.

Fig. 4-12

Find the linevoltage magnitude at the load Ans: 3011 V Repeat Problem 1139 with the load impedance ZY 15 608 By drawing the voltage phasor diagrams for the two cases, illustrate the e ect of load impedance angle on the voltage drop for a given line impedance Ans: 3329 V A three-phase generator with an e ective line voltage of 6000 V supplies the following four balanced loads in parallel: 16 kW at pf 0:8 lagging, 24 kW at pf 0:6 lagging, 4 kW at pf 1, and 1 kW at pf 0:1 leading (a) Find the total average power (P) supplied by the generator, reactive power (Q), apparent power (S), power factor, and e ective value of line current (b) Find the amount of reactive load Qc to be added in parallel to produce an overall power factor of 0.

Fig. 4-13

(b) Students weighing more than 185 lb must weigh at least 185.5 lb (Fig. 4-13). 185.5 lb in standard units (185.5 151)>15 2.30) 0) 0 and z 2.30) 2.30 Required proportion of students (area to right of z (area to right of z (area between z 0.5 0.4893

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