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A balanced -connected load, with impedances 10:0 36:98 , and a balanced Y-connected load are supplied by the same three-phase, ABC system having VCA 141:4 2408 V. If IB 40:44 13:418 A, what are the impedances of the Y-connected load Ans: 5:0 53:38 A three-phase, ABC system, with e ective line voltage 500 V, has a -connected load for which ZAB 10:0 308  ZBC 25:0 08  ZCA 20:0 308 
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Obtain the line currents. Ans: IA 106:1 90:08 A; IB 76:15 68:208 A; IC 45:28 128:658 A 11.26 A three-phase, ABC system, with VBC 294:2 08 V, has the -connected load ZAB 5:0 08  ZBC 4:0 308  ZCA 6:0 158
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Obtain the line currents. Ans: IA 99:7 99:78 A; IB 127:9 43:3 A; IC 77:1 172:18 A 11.27 A three-phase, four-wire, CBA system, with e ective line voltage 100 V, has Y-connected impedances ZA 3:0 08  ZB 3:61 56:318  ZC 2:24 26:578 
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Obtain the currents IA ; IB ; IC ; and IN . Ans: 27:2 908 A; 22:6 26:38 A; 36:4 176:68 A; 38:6 65:38 A 11.28 A three-phase, four-wire, ABC system, with VBC 294:2 08 V, has Y-connected impedances ZA 12:0 458  ZB 10:0 308  ZC 8:0 08 
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Obtain the currents IA ; IB ; IC ; and IN . Ans: 14:16 458 A; 16:99 608 A; 21:24 1508 A; 15:32 90:48 A 11.29 A Y-connected load, with ZA 10 08 , ZB 10 608 , and ZC 10 608 , is connected to a threephase, three-wire, ABC system having e ective line voltage 141.4 V. Find the load voltages VAO , VBO , VCO and the displacement neutral voltage VON . Construct a phasor diagram similar to Fig. 11-18. Ans: 173:2 908 V; 100 08 V; 100 1808 V; 57:73 908 V A Y-connected load, with ZA 10 608 , ZB 10 08 , and ZC 10 608 , is connected to a threephase, three-wire, CBA system having e ective line voltage 147.1 V. Obtain the line currents IA , IB , and IC . Ans: 20:8 608 A; 0; 20:8 1208 A A three-phase, three-wire, ABC system with a balanced load has e ective line voltage 200 V and (maximum) Ans: 2887 W line current IA 13:61 608 A. Obtain the total power. Two balanced -connected loads, with impedances 20 608  and 18 458 , respectively, are connected to a three-phase system for which a line voltage is VBC 212:1 08 V. Obtain the phase power of each load. After using the single-line equivalent method to obtain the total line current, compute the total power, and compare with the sum of the phase powers. Ans: 562:3 W; 883:6 W; 4337:5 W 3 562:3 W 3 883:6 W In Problem 11.5, a balanced -connected load with Z 20 458  resulted in line currents 8.65 A for line voltages 100 V, both maximum values. 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
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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
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