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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