Answers To Odd'NumberedProblems

Chapter 1

1. (a) 0.40 wb, (b) 8 O

3. 64.18 V5. 1.013 T7. (a) 1499.t A-t/m, (b) 1.25 T,0.10 Wb, (c) 663.5,(d)22486 A-t/Wb

9. (a) 1499.1 A-tlm, (b) 0.48 T, 0'0384 Wb, (c) 254.8, (d) 58557 '2 A-t/wb

ll. -47.l%o13. (a) 7 .21Y , (b) 7.96 V15. 65.89 m/s

17. 24 H2,89.5 V19. (a) 414.87 Y, (b) 672 cos(28t) V

2L. 48.98 W

Chapter 21. (a) 121 t, (b) 0.0862 wb3. (a) 126 r, 630 r, (b) 3.0 A5. (a) 2.60 A, (b) 0.460 A, (c) 2.56 A, (d) 220.8 W

7. (a) 15.81A, (b) 0.173, (c) 1875 var

9. (a) 6600 V, (b) 45.83 A, (c) 1375 A, (d) 0.160 /46" A, (e) 210.1 kW,

217.6kvar,302.5 kVA11. (a) 124.8Y, (b) 624 V, (c) 3.12 A, (d) 1651.05 W, 1031.69 var, 1946'88 VA

13. (a) 8.97 /61.63" O, (b)0.56 /61.63" O

15. (a) 13.78 /63.21' O, (b) 531.11 /41.95" O, (c) 13.89 A,(d)'7377 Y,(e)0'427 A,

(f) t1276.4 /-1s.5" O

17. (a) 0.0435 /83.5" A,(b) 495.27 V, (c) 3.18 percent

L9. (a) 238'7.8 V, (b) -0.51 percent, (c) 51.68 /-15.21" A591

592 | Answers

21. (a)243v, (b) 5.68 percent, (c) 1341.1 /48.82" O,(d) 42321 /75.99" O

23. (a)0194A,(b)0.012O25. (a) 94,696 A, (b) 3.47 percent

27,2.84percent29. 2.61percent

31. (a) 3.26 percent, (b) 237.5 Y, (c) 464.7 Y

33. Plot

35. (a) 345 W, (b) 97.05 Percent

37. Plot

39. (a) R", : 1.7 43C), X"q : 3.233 0, Rr" : 1 1901 O, Xu : 2961'9 O, (b) 2'5 1 percent,

(c) 91 .4 percent

41. (a) 6572.6 f,), (b) Rpu : 0.O12l,Xpu : 0.0384, (c) 98.8 percent, (d) 2.44 percent,

(e) 235.6Y, (f) 4712Y

Chapter 3l. (a)225 A, (b)1HS :44.03 A,1o: 181.1 A3. (a) 800 V, (b) 6 A, (c7 2 A, (d) 1600 VA, (e) 3200 VA, (f) 0.015 Wb

5. (a) 1.176, (b) 1.200, (c) 122.4Y

7. (a) 1.100, (b) sketch, (c) 750 A,681.8 A9. 10.07

11. (a) 416.67 / -43.95" A, (b) 1A : 234.1 / -44.14' A, In : 182.5 / -43.10' A13' Ia: 38'l'7Vo' In : 34'997o,1g : 26'947o

15. No, B will overheat.

17. {-5,r1rur":I1-s,lin" :479.2 A, IHs,pt'u." :69.45 A, IHs,ttn.:1203 A19. 69.28 kVA21. 10,249 A

Chapter 41. (a) 1800 r/min, (b) 50 r/min, (c) 0.218

3. (a) 1800 r/min, (b) 0.01388, (c) 25 rlmtn, (d) 0.833 Hz

5. (a) 20 r/min, (b) 1.0 Hz, 3.6 V7. (a) 50 r/min, (b) 2.78%o (c) 180 r/min

9. ('a) 500 r/min, (b) 0.040, (c) 63.10 A, (d) 218.83 lb-ft, (e) 2.0H2.11. (a) 22030 W, (b) 26.58 hp, (c) 2203 W, (d) 586 r/min, (e) 238.2lb-ft, (f ) 506 W

13. (a) 706.9 rlmin, (b) 945.4lb-ft, (c) 928.7 lb-ft, (d) 0.805, (e) 1683.8 W

15. (a) 1746.2 r/min, (b) 18.8lb-ft, (c) 1.23 lb-ft17. (a) 22.0 hp, 3 150.5 rlmin, 84.37o

Chapter 51. (a) 47 .89lb-ft, (b) 73.68 lb-ft, (c) 36.84 lb-ft3. (a) 37.7 lb-ft, (b) 29.57 lb-ft, (c) 26.61 lb-ft

Answers I 593

5.(a)11.96/37.58"O,(bi)21:77/-37.58"A,(c')21916'6W,16866'9var'zieSS.OvT, o.zq: lagging, tqzZA t,te)861.2w, (f) 608'7 w, (.g)7642W'

(h)202gt.2w, (i) 19682.i*,Cil ttg.o|lb-ft, (k) 25.92hp, (1) 116.9s lb-ft,

(m) 88.237o, (n) sketch.

7. (a) 1 .89 /40.31'O, (b) 33.68 / -4031" A, (c) 2046L 9 W' 17356 '4 var'

zesZt.eT AJ6.267o ragsing, tdt n st x' (e) 6a3'38 w, (f) 42t38w 'G) 865.3 W, (h) 18963.8 W;(i) 18s42.8 w, (j) 148.47|b-ft, (\) 2280'1 w'

fil zq.zl hp, (m) 88.667o,(n) sketch, (o) LR : 360'541b-ft, BD : 342'521b-ft'

PU : 252.38lb-ft9. (a) 810.5 r/min, (b) 392.2lb-ft

11. No

13. (a) 0.9587o, (b) 1782.8 rimin' (c) 215'7 A, (d) 191'9 hp

15. (a) 1169 rlmin, (b) 20.1 A, (c) 11 .2hp

17. 26.8 hp

19. (a) 47g.2Y, (b) l} .zhp, (c) 750 tlmin, (d) 734'25, (e) 745 lb-ft

21. 0.135 C)/phase

23. (a) 71 A, (b) 267.3 A3 h 1301'2 A

25. (a) 3.177o, (b) 108"C, (c) 5'7 years, (d) 52'8 hp

27. Rt : 0.2539 O, Xr : 0.6836 f,), Rz : 0'1872 O,Xz: l'0282 A'Xu : 2l'42 A

29. PURI : 0.0333, PUXI : O.O562,PUR2 : 0'030, PIJX2:0'084' PUXM : I'221'

PURi" :42.38

31. Rl : 0.1915 O, Rz : 0'1895 f,), Xt : 0'5745 O,Xz: l'3404 A'Xn': 14'92 A'

fwcor : 405.1 Wphase

33. 28.8 kW

35. 186.53 kW

37.(a)135.78A,(b;)44t.341b-ft,(c)168V,(d)76'387o,(e)553'7A'(f)422'91l39. (a) 248.2 A, (b) 595.46lb-ft, (c) 318.57 A, (d) 1.444

+1. (a) 2.358 0, (b) 154.4 V, (c) 45.7lb-ft

Chapter 6l. (a) 12.34O, (b) Auxiliary 5.53 /-16.83" A, Main 2084 /-46'26' A'

(c)25.78 /-40.67" A3. (a)222.7 pcF, (b) 25.6 /-19-7" A5. (a) 11500 pF, (b) 1325 rrF, (c) 33.33 hp

7. (a) 16. : 22.414, Ipnu"' : 12'94 A, (b) 4i,. : 38'81 A' Ie : t294 A'

IP:25'87 A

Chapter 7

1. 30.547o increase

3. (a) 1107o, (b) 1707o

5. (a) 200, (b) 30 ris, (c) 26

594 | Answers

7. (a) 1000 sreps/rev, (b)2t09. 0.20

Chapter 81. 150 r/min3. 80 poles

5. (a) 5835.6 lb-ft, (b) 161 A, (c) 13669.5 y, (d) -29.2, (e) t2389.6 lb-ft7. (a') 496.0 V, (b) -27.8., t332.5lb-ft, (c) 666.2\b_ft9. Phasor diagrams

11. (a) plot, (b) sketch, (c) rated: 7280 v/phase,75vo rated: 5500 v/phase,507o rated: 3690 v/phase

13. (a)-18', (b) 189,666 W, -26,1053 var, (c) Sg.gvo leading, (d)742tb_tt15. (a) 0.4931leading, (b)542.3 V, (c) -t5.5j"17. (a)78.17o lagging, (b) 0.895lagging19. (a) 4084.9lb-fr, (b) 3063.7lb-ft, (c) 20,424.4\b-ft

Chapter 91. 1500 r/min3. (a) 314.46 V, (b) 64.08Hz5. (a) 670 hp, (b) 859.1 V, (c) 580.8 A, (d) 499843 W, 338348 var,

(e) 82.8Vo lagging7. 61.29H2, P1:75.79 kW, P2 :74.21kW9. (a) 60.15 Hz, (b) Pe: 313 kW, PB : 373 kW

11. (a) 24.77 IJz, (b) Pa : 471.68 kW, pB : 601.87 kW, pc : 626.45kW13. (a) Phasor diagram, (b) F'r : 76.6Vo leading, b : - 17o15. (a) Sketch, (b) 35., (c) 27"17. PA: 347.76 kW, PB : ll5.g2kW, Qe: 143.92kvar, er: 170.09 kvar19. (a) Sketch, (b) 59.89 Hz, Pa: 690.90 kW, pB : 595.45 kW, pc : 563.63 kW,

(c) 73.5Vo leading21. 1.449

23. (a) 271.8y, (b) 65.7", (c) 2j4y, (d) 1.17o, (e) 208 V25. 7.9Va

27. 483y29. (a) tszA, (b) 1.07

31. (a) 0.5047 O, (b) 1.52 O, (c) 1.60 O

Chapter 10l. (a) 56.67 Hz, (b) 68Hz,2ZBy3. (a) 200 V, (b) 280 V5. 3.57Vo

7. 36.17o

Answers I 595

9. 3005.1 r/min

ll.4lO.4rlmin13. 270;7 Y15. 248.5 A17.3563.4rlmin19. (a) 466.6 A, (b) 1268.7 r/min

21. (a) 232.1 Y, (b) 123t4.5 W, (c) 24'8 lb-ft' (di) 225'lb-tt

23. (a) 8674.4W, (b) 8082.1 W, (c) r7 '21 lb-tt

25. (a) t767.2w, (b) 3208.8 W, (c) 93'87o

27. (a) 137.0lb-ft, (b) 23655 W, (c) 144'8lb-ft, (d) l'24 o' (e) 253'4lb-ft

Chapter 11

1.. (a) 33.2 O, (b) 1t9.7 A', (c) 365'9 W

3. (a) e'7 .4 O, (b) 33s.0 w5. (a) 49.37o, (b) 969.4 r/min

7. (a) 1329.2A, (b) 1318.8 A, (c) 323t09 W' (d) ves

9. (a) 209.6A, (b) 3.35 A, (c) 206'24', (d) 673'3 lb-ft' (e) 0'5347 0' (f) 6 turns'

(g) 423.3 rlmin

ll. 700 rlmin,3T1 rlmin

13. (a) 3l2l rlmin, (b) 5963 W, (c) 13'4 lb-ft

15. (a) 319 tlmin, (b) 6.37o, (c) 224lb-ft

17. 77 .5 Y19. 0.442 0

Chapter 121,. (a) 268 Y, (b) 7 .27o, (c) 7'3 O

3.227.8v5. (a) 265 V, (b) 290 Y, (c) 16'07o, (d) 73'1 O' (e) 315 V

7. (a) 500 A, (b) 5.49 A, (c) 505'49 A, (d) 270 Y ' (e) 257 Y '

(f) 2'87o' (g) under'

(h) yes

9. (a) 0.001951 O' (b) 377.4w

11. (a) 123.5Y,(b) 1a : 820A' 1r : 980 A

13. (a) 562.1V, (b) 1a : 483'6 A, In: 516'4 A

15. (a) 241'9Y,(b) 1o : 351'35 A' Is : 756'76 A' Ic : 891'89 A