Engineering Circuit Analysis 8th Edition Chapter Nine Exercise Solutions
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1 Engnrng rcu naly 8h Eon hapr Nn Exrc Soluon. = KΩ, = µf, an uch ha h crcu rpon oramp. a For Sourc-fr paralll crcu: For oramp or b H 9V, V / hoo = H.7.8 ra / V ,
2 . = nh, = mf, h crcu ourc-fr paralll crcu. a o ha h crcu ju barly oramp. For Sourc-fr paralll crcu: For oramp or <.Ω hoo.. 9 E b P, / n /.8 ra / ra / p p E n n /.8,
3 . = mf, = mh, choo uch ha h crcu a Ju barly oramp; 5 ra /.5. 5 b Ju barly unramp;.5. 8 c rcally amp..5 Do your anwr for par a chang f h ror olranc %? %?. % unramp. % oramp. % unramp... 8 oramp So, y h anwr for par a wll chang f h ror olranc % or % Incra h xponnal ampng coffcn for par c by %. I h crcu now unramp, oramp, or ll crcally amp? Explan.
4 ol nw.. 5 Snc h crcu now oramp.
5 . alcula α, ω,, an for a ourc-fr paralll crcu f a = Ω, =. H, an =.5 mf; α = 8 b = nh, = pf, an % of h alu rqur o mak h crcu unramp.. ra / unramp 5.8 %.58. oramp c alcula h ampng rao for h crcu of par a an b a.7. b.
6 5. No k_ ror, = µf, >H, mr long pc of WG of ol coppr wr. plac h ror wh mr of WG coppr wr. From Tabl., WG of ol coppr wr ha a ranc of 5.7 Ω/f. Thu, h wr ha a ranc of cm n f 5.7 m m.5cm n f 977 ra / oramp.99,
7 8. ourc-fr paralll crcu hang, ra /, 5. a V H / b c c c Gn an ach nally or mj of nrgy w w c, J J
8 7. = 5 Ω, = μf, an uch ha crcally amp. a Drmn. 5 H Y, h alu larg for a prn-crcu boar moun componn. For xampl, H nucor maurng cm all 8 cm w 8 cm p. b a ror n paralll o h xng componn uch ha h ampng rao qual o. 5 5 nw // nw 5 5 nw 55. nw c Incrang h ampng rao furhr la o an oramp crcu nc Whn ncrang h ampng rao w ar ncrang α
9 8. =KΩ, = 7mH, = nf. nally charg an rong 7.mJ a ,.5 c / oramp ra b hrough h ror for > V V w ,
10 c -.78
11 9. 5 V a clar all; clo all; clc; =[:.:.5]; c=*xp-*; c=5*xp-*; c=c-c; plo,c,'-ro' hol on plo,c,'-.b' hol on plo,c,'.-g' hlg = lgn'*xp-*','5*xp-*',''; gr on xlabl'' ylabl''
12 b
13 .. a clar all; clo all; clc; =[:.:.5]; l=.*xp-*; l=.*xp-*; l=l-l; plo,l,'-ro' hol on plo,l,'-.b' hlg = lgn'.*xp-*','.*xp-*'; gr on xlabl'' ylabl''
14 b c w ] [ c /.5 5 w H H oramp F l ra
15 =[:.:.5]; l=.*xp-*; l=.*xp-*; l=l-l; plo,l,'-ro' hol on plo,l,'-.b' l=l-l; hol on plo,l,'*g' ylabl'' hlg = lgn'.*xp-*','.*xp-*',''; fgur wl=.5*l.^; plo,wl gr on xlabl'' ylabl'w'
16 . a..7 7 ln7 8, max m m m m m b.9.. %. 8 max max c Th m corrponng o h ror aborbng.5 W. c ln.5 ln P
17
18 . oramp ra / rplac h nucor wh hor crcu an h capacor wh opn crcu. Th olag powr upply wll b on. V k k V ,
19 . a V ra , , , 9..,, / 5., b V V , ,.99.99,.99,
20 c % max max max 9.. max % max max max 9.. max 9..
21
22 . a = boh h ourc an h 8 Ω ar rmo lang h mf, 5 mh, an Ω ror n paralll. a b c // V f g h V
23 5. for > a V oramp ra , /.7 5 5
24 b V V 5 max max max max %
25 . a a, 5 a V
26 V V oramp ra , / 5 5.
27 b V m m m m , c max ln % 5 max
28 7. V m V m oramp ra ].9 [ , 8. 5., c /
29 , c / w V m oramp ra b.7 c.9 c max max max max w J w J w w
30
31 ..75,.8 a w, u o h prnc of h nucor. Prformng mh analy: Mh wo:..5 Solng for,.5,.97 oramp.v Th ra / c 5
32 V , , w b
33 . = 8H, = µf a, rcal ampng k 8 b 5 c r 5 5 r Show ha r a oluon o r r r r r r r r
34 . H F V. F V V. H V. V. V. H F V
35 . = Ω, = 5.µH, = 8µF a ra / b W coul nr mak α xacly qual o bcau n pracc unuual o oban componn ha ar clor han prcn of hr pcf alu. c or mj, nally charg w.5.5, V / V m m V w V c mj V /
36 % max 8.5V max.9.85v
37
38 5. = Ω, = pf. a.8 8 H b In pracc unuual o oban componn ha ar clor han % of hr pcf alu. c, w pj w ,, V 5 5 [ P ] P V - n.757 W V /
39 . u m a o ha V, h currn ourc on, h nucor can b ra a a hor crcu, an a an opn crcu. Thu appar acro an gn by m b m V h currn ourc ha urn lf off an hor. W ar lf wh a paralll crcu compr of 5, F, mh
40 V m m V m crcally amp ra , 5 c / c for V V V m mn c max mn mn max
41
42 7. u o ha , h currn ourc on, h nucor can b ra a a hor crcu, an a an opn crcu. Thu appar acro an gn by 5 // 5 V m 5.m. 5 5.V V V, 5 5
43 8. a rcally ampng H.8 b 99. J m w w V V ,..,
44 J m w w V V , ,..,
45 9. a, Th 8 5.5H
46 . Unramp a,, b nf, mh ra c 58. / c If h ampng rao ncra h crcu bcom l unramp nc α wll b largr han ra / c 5.5. ra /
47 . pf H k 8, 7, a,, ra unramp ra / 7. /c b n co n 7. co c nj w V n V w.55. n co n co
48 ..5k, mh, mf a.5..ra /.ra / c b co n. co. c, 9V...85,.85[..9 m max..85 n... n. n. co... 9V co.. n.. n.]
49 ...85 n. for =.5kΩ
50 For = 5kΩ.85 n..85 9,,. n. 9, n. co. n co /. c / V ra unramp ra
51 For = 5kΩ.85 n..85 9,,. n. 9, n. co. n co /. c / V ra unramp ra
52 ., a = kω, = mh, = mf.5. ra / c unramp. ra / co n.5 co. n., 9V co. n. 9.5.,, co..7n.
53 b = Ω. n9.5 9 co9.5.,, n9.5 9 co , n9.5 co9.5 n co / 9.5 c / V ra unramp ra c
54
55 5. a = boh h ourc an h Ω ar rmo lang h.5µf, mh, an 5Ω ror n paralll. a b c // V f g h V
56 . for >.88, V..5 unramp ra / co co 5.7 co n n 5.7V n 5.7 co 5. n ra / c
57 7. w wll ha h followng crcu: 5 V 5.5 w wll ha h followng crcu:
58 5 58 ra / c unramp 9. ra / co n 5 co9. n 9..5, V 5 co 9. n ,.5, co 9..95n c
59 b.7v.c max..7 max.5 max
60 9. For <, w from h crcu blow ha h capacor an h ror ar hor by h prnc of h nucor. Hnc, - =.5 an - = V. Whn h.5- ourc urn off a =, w ar lf wh a paralll crcu. a 5 5 unramp 5 ra / b co n co n.5.5 5ra / c.5co n co 7.5n n co,,..5co.n c.5co.n w
61 . M 5 a ra unramp ra / 5 c / 5 5 b.5n 5.5co ,, 5.5 co 5 5 n 5 5.5n 5.5 co 5 n 5.5 co n 5 co 5 n co c.7 c.5 %.5.5n 5.5 co 5.5n 5.5 co 5 max % max max max 5 5 w w w w
62
63 . mf, 5mH a rcally amp rpon b ju barly unramp. 5 c paralll.5 5ra / c 5ra / c.5 rcally amp.5 5 ra / c Unramp
64 ., mf, mh V, ra / c unramp co n 5 ra / 5 co5 n 5 5 n n m n 5.9 m n 5.9 m n 5.
65 ., mf, mh nw / / 5 77 ra / c unramp co n ra / 5 co n 5 co n 5.78 V 5 co.78n, m -.59V
66 ., mf, mh V, m ra / c unramp co n 5 ra / 5 co5 n 5 m 5 co5 n co 5.999n 5,
67 5. mh mf k,,, V a,...., / , c / oramp ra
68 . H F,.5, a.5 b c /..5 ra c , oramp.97, , 79.99
69 5., mf, H a 5. ra / c b u u m m m mv mv m m mv m m mv mv
70
71 5. only h rgh-han currn ourc ac.,, m, m m V, m V Durng h nral from = o = +, h lf-han currn ourc bcom ac. V, h lf han no: 5 m, m5m 5m, 5m, 5m 5V, 5 V 5 9 5, h rgh han no:,. 5 / V / 5 / 5 / 5 V / 7 V /
72 5. 8 u V a V 8V 8V b
73 5. u V a 5 b V V c V ra / oramp V
74 ., m h a r wh =, or a paralll wh = ra / c Th rpon form a follow: co n n co n 7.7 In gnng h op amp ag, w fr wr h ffrnal quaon: 9 ', Tak h ra of boh : On pobl oluon : 5 9 5
75
76 ., m h a r wh =, or a paralll wh = ra / c 9 Th rpon form a follow: co n m co n n co 9 co 7.7 In gnng h op amp ag, w fr wr h ffrnal quaon: 9 ', Tak h ra of boh : 9 9 On pobl oluon :
77
78 ., m, H / / PH, 5F h a r wh =, or a paralll wh = / / H q 9. ra / c 8 Th rpon form a follow: co n m co n n co 8 co. In gnng h op amp ag, w fr wr h ffrnal quaon: 9 ' ', Tak h ra of boh : 9 5 On pobl oluon :
79
80 . crcu k,.mf.v a. b On pobl oluon
81 . crcu, 5H a 5 b /, /.5 8
82
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