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9 lagging, then nd apparent power and e ective value of line current Ans: a P 45 kW, Q 34:05 kvar, S 56:43 kVA, pf 0:8 lagging, IL 5:43 A, (b) QC 12:25 kvar, S 50 kVA, IL 5:35 A A balanced -connected load with impedances Z 6 j9 is connected to a three-phase generator with an e ective line voltage of 400 V The lines between the load and the generator have resistances of 1 each Find the e ective line current, power delivered by the generator, and power absorbed by the load Ans: IL 54:43 A, Pg 26666 W, P 17777 W In Problem 1142, nd the e ective line voltage at the load Ans: VL 340 V A three-phase generator feeds two balanced loads (9 kW at pf 0:8 and 12 kW at pf 0:6, both lagging) through three cables (01 each).

Then the number of students weighing more than 185 lb is 500(0.0107) 5. If W denotes the weight of a student chosen at random, we can summarize the above results in terms of probability by writing P(119.5 W 155.5) 0.6000 P(W 185.5) 0.0107

The generator is regulated such that the e ective line voltage at the load is 220 V Find the e ective line voltage at the generator Ans: 230 V A balanced -connected load has impedances 45 j60 e ective line voltage of: (a) 400 V, (b) 390 V Ans: a 3:84 kW, (b) 365 kW Find the average power delivered to it at an.

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4.15. The mean inside diameter of a sample of 200 washers produced by a machine is 0.502 inches and the standard deviation is 0.005 inches. The purpose for which these washers are intended allows a maximum tolerance in the diameter of 0.496 to 0.508 inches, otherwise the washers are considered defective. Determine the percentage of defective washers produced by the machine, assuming the diameters are normally distributed.

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Obtain the change in average power delivered to a three-phase balanced load if the line voltage is multiplied by a factor . Ans: Power is multiplied by the factor 2 A three-phase, three-wire source supplies a balanced load rated for 15 kW with pf 0:8 at an e ective line voltage of 220 V. Find the power absorbed by the load if the three wires connecting the source to the load have resistances of 0.05 each and the e ective line voltage at the source is 220 V. Use both a simpli ed

0.496 in standard units 0.508 in standard units Proportion of nondefective washers (area under normal curve between z (twice the area between z 2(0.3849) 0.7698, or 77% 77% 23% (Fig. 4-14). 0 and z 1.2 and z 1.2) 1.2) (0.496 (0.508 0.502)>0.005 0.502)>0.005 1.2 1.2

Therefore, the percentage of defective washers is 100%

approximation and also an exact method. Ans: 14:67 kW (by an approximate method), 14.54 kW (by an exact method) 11.48 In Problem 11.47 determine the e ective value of line voltage such that the load operates at its rated values. Ans: 222.46 V (by an approximate method), 221.98 V (by an exact method) What happens to the quantity of power supplied by a three-phase, three-wire system to a balanced load if one phase is disconnected Ans: Power is halved. A three-phase, three-wire generator with e ective line voltage 6000 V is connected to a balanced load by three lines with resistances of 1 each, delivering a total of 200 kW. Find the e ciency (the ratio of power absorbed by the load to power delivered by the system) if the power factor of the generator is (a) 0.6, (b) 0.9 Ans. (a) 98.5 percent (b) 99.3 percent. A 60-Hz three-phase, three-wire system with terminals labeled 1; 2; 3 has an e ective line voltage of 220 V. To determine if the system is ABC or CBA, the circuit of Fig. 11-35 is tested. Find the e ective voltage between node 4 and line 2 if the system is (a) ABC, (b) CBA. Ans: a 80.5 V; (b) 300.5 V

Fig. 4-14

Fig. 11-35

Note that if we think of the interval 0.496 to 0.508 inches as actually representing diameters of from 0.4955 to 0.5085 inches, the above result is modified slightly. To two significant figures, however, the results are the same.

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