Chapter 5, Problem 1.
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- Aron Stone
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1 Chapter 5, Prblem. The equalent mdel f a certan p amp s shwn n Fg Determne: (a) the nput resstance. (b) the utput resstance. (c) the ltage gan n db. 8x0 d Fgure 5.3 fr Prb. 5. Chapter 5, Slutn. (a) n.5 MΩ (b) ut 60 Ω (c) A 8x0 Therefre A db 0 lg 8x db Chapter 5, Prblem The pen-lp gan f an p amp s 00,000. Calculate the utput ltage when there are nputs f 0 µv n the nertng termnal and 0 µv n the nnnertng termnal. Chapter 5, Slutn. 0 A d A( - ) 0 5 (0-0) x 0-6 V POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
2 Chapter 5, Prblem 3 Determne the utput ltage when.0 µv s appled t the nertng termnal f an p amp and 30 µv t ts nnnertng termnal. Assume that the p amp has an pen-lp gan f 00,000. Chapter 5, Slutn 3. 0 A d A( - ) x 0 5 (30 0) x 0-6 0V Chapter 5, Prblem The utput ltage f an p amp s. V when the nnnertng nput s mv. If the pen-lp gan f the p amp s 0 6, what s the nertng nput? Chapter 5, Slutn. 0 A d A( - ) 0 - A 6 x0 μv - - µv 0.00 mv mv mv.00 mv POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
3 Chapter 5, Prblem 5. Fr the p amp crcut f Fg. 5., the p amp has an pen-lp gan f 00,000, an nput resstance f 0 kω, and an utput resstance f 00 Ω. Fnd the ltage gan / usng the nndeal mdel f the p amp. Fgure 5. fr Prb. 5.5 POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
4 Chapter 5, Slutn 5. - I 0 d n A - d A d ( 0 ) I 0 () But d I, - ( 0 A) I 0 I 0 ( A) () -A d - 0 I 0 0 ( 0 A d 0 I ( 0 A)I 0 0 A ( A) A) ( A) x ( 0 ) ( 0 ) 0 00,000 00, POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
5 Chapter 5, Prblem 6 Usng the same parameters fr the 7 p amp n Example 5., fnd n the p amp crcut f Fg Fgure 5.5 fr Prb. 5.6 Example 5. A 7 p amp has an pen-lp ltage gan f 0 5, nput resstance f MΩ, and utput resstance f 50Ω. The p amp s used n the crcut f Fg. 5.6(a). Fnd the clsedlp gan / s. Determne current when s V. POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
6 Chapter 5, Slutn I 0 d n - A d - ( 0 ) A d 0 But d I, ( 0 A)I 0 I 0 ( A) () -A d - 0 I 0 A d 0 I ( 0 A)I Substtutng fr I n (), 0 A 0 0 ( A) 6 5 ( 50 x0 xx0 ) x0 xx0 ( ) 6 00,000xx0 6 00,00xx0 6 3 mv mv POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
7 Chapter 5, Prblem 7 The p amp n Fg. 5.6 has 00 kω, 00 Ω, A 00,000. Fnd the dfferental ltage d and the utput ltage. Fgure 5.6 fr Prb. 5.7 POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
8 Chapter 5, Slutn kω ut 00 Ω 0 kω V S V d n AV d V ut At nde, (V S V )/0 k [V /00 k] [(V V 0 )/00 k] 0 V S 0 V V V V 0 whch leads t V (0V S V 0 )/ At nde, (V V 0 )/00 k (V 0 ( AV d ))/00 But V d V and A 00,000, V V (V 0 00,000V ) 0 00V 0 99,999,999[(0V S V 0 )/] 0 83,333,33.5 V S 8,33,33.5 V 0 whch ges us (V 0 / V S ) 0 (fr all practcal purpses) If V S mv, then V 0 0 mv Snce V 0 A V d 00,000 V d, then V d (V 0 /0 5 ) V 00 nv POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
9 Chapter 5, Prblem 8 Obtan fr each f the p amp crcuts n Fg Fgure 5.7 fr Prb. 5.8 Chapter 5, Slutn 8. (a) If a and b are the ltages at the nertng and nnnertng termnals f the p amp. a b 0 (b) 0 0 ma k 0 kω 0 -V V - V - a a b - kω a V - 0 kω (a) (b) Snce a b V and a 0, n current flws thrugh the 0 kω resstr. Frm Fg. (b), - a a - - -V POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
10 Chapter 5, Prblem 9 Determne fr each f the p amp crcuts n Fg Fgure 5.8 fr Prb. 5.9 Chapter 5, Slutn 9. (a) Let a and b be respectely the ltages at the nertng and nnnertng termnals f the p amp a b V At the nertng termnal, ma k (b) 0 0 V V b Snce a b 3V, - b 0 b - V POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
11 Chapter 5, Prblem 0 Fnd the gan / s f the crcut n Fg Fgure 5.9 fr Prb. 5.0 Chapter 5, Slutn 0. Snce n current enters the p amp, the ltage at the nput f the p amp s s. Hence s s POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
12 Chapter 5, Prblem Fnd and n the crcut n Fg Chapter 5, Slutn. Fgure 5.50 fr Prb. 5. b 0 (3) 0 5 V At nde a, 3 a a 8 5 a But a b V, 0 V a 0 ma 8 8 ma POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
13 Chapter 5, Prblem. Calculate the ltage rat / s fr the p amp crcut f Fg Assume that the p amp s deal. 5 kω 5 kω s _ 0 kω Fgure 5.5 Fr Prb. 5.. Chapter 5, Slutn. Ths s an nertng amplfer. 5 s 5 5 s POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
14 Chapter 5, Prblem 3 Fnd and n the crcut f Fg Chapter 5, Slutn 3. Fgure 5.5 fr Prb. 5.3 By ltage dsn, a 90 () V 50 b 50 3 But a 0 b V 0.7mA 0.08mA 88 μa 0k 50k POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
15 Chapter 5, Prblem Determne the utput ltage n the crcut f Fg Fgure 5.53 fr Prb. 5. Chapter 5, Slutn. Transfrm the current surce as shwn belw. At nde, But 0. Hence () At nde,, Frm () and (), r - () -.5V POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
16 Chapter 5, Prblem 5 (a). Determne the rat / s n the p amp crcut f Fg (b). Ealuate the rat fr 0 kω, 5 kω, 3 0 komega$. Fgure 5.5 Chapter 5, Slutn 5 (a) Let be the ltage at the nde where the three resstrs meet. Applyng KCL at ths nde ges s 3 () 3 3 At the nertng termnal, 0 s s () Cmbnng () and () leads t s 3 3 s 3 3 (b) Fr ths case, s 0x0 0 0 kω - 9 kω 5 POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
17 Chapter 5, Prblem 6 Obtan x and y n the p amp crcut n Fg Fgure 5.55 POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
18 Chapter 5, Slutn 6 0k Ω x 5k Ω a y - b k Ω 0.5V - 8k Ω Let currents be n ma and resstances be n k Ω. At nde a, 0.5 a a 3a 5 0 () But 8 0 a b a () 8 8 Substtutng () nt () ges a a a 8 Thus, 0.5 a x / 70 ma.8 μa 5 b a y 0.6( a ) 0.6( a a ) x ma 85.7μA POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
19 Chapter 5, Prblem 7 Calculate the gan / when the swtch n Fg s n: (a) pstn (b) pstn (c) pstn 3 Fgure 5.56 Chapter 5, Slutn 7. (a) G 5 (b) (c) POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
20 * Chapter 5, Prblem 8. Fr the crcut n Fg. 5.57, fnd the Theenn equalent t the left f termnals a-b. Then calculate the pwer absrbed by the 0-kΩ resstr. Assume that the p amp s deal. 0 kω kω kω a mv _ 8 kω 0 kω b Fgure 5.57 Fr Prb POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
21 Chapter 5, Slutn 8. We temprarly reme the 0-kΩ resstr. T fnd V Th, we cnsder the crcut belw. 0 kω kω kω mv _ 8 Ω V Th Ths s an nertng amplfer. 0 k VTh ( mv ) 0 mv k T fnd Th, we nte that the 8-kΩ resstr s acrss the utput f the p amp whch s actng lke a ltage surce s the nly resstance seen lkng n s the -kω resstr. The Theenn equalent wth the 0-kΩ resstr s shwn belw. kω a 0 mv _ I 0 k b I 0m/(k 0k) 0.35x0 6 A p I (0.35x0 6 ) x0x nw POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
22 Chapter 5, Prblem 9 Determne n the crcut f Fg Chapter 5, Slutn 9. Fgure 5.58 We cnert the current surce and back t a ltage surce. 3 0k -.5V 3 k mA 5k 0k POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
23 Chapter 5, Prblem 0 In the crcut n Fg. 5.59, calculate f s 0. Chapter 5, Slutn 0. Fgure 5.59 At nde a, 9 a a a b a - b () At nde b, a b b a 3 b - () But b s 0; () becmes a and () becmes /() -.636V POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
24 Chapter 5, Prblem. Calculate n the p amp crcut f Fg kω kω 3 V _ V _ Fgure 5.60 Fr Prb. 5.. Chapter 5, Slutn. Let the ltage at the nput f the p amp be a. a 3-a a 3- V, k 0k 0 V. Chapter 5, Prblem Desgn an nertng amplfer wth a gan f -5. Chapter 5, Slutn. A - f / -5. If 0kΩ, then f 50 kω. POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
25 Chapter 5, Prblem 3 Fr the p amp crcut n Fg. 5.6, fnd the ltage gan / s. Fgure 5.6 Chapter 5, Slutn 3 At the nertng termnal, 0 s that KCL ges s f s f POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
26 Chapter 5, Prblem In the crcut shwn n Fg. 5.6, fnd k n the ltage transfer functn k s. Fgure 5.6 Chapter 5, Slutn f POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual, - s We ntce that. Applyng KCL at nde ges f s f f s 0 ) ( () Applyng KCL at nde ges s s () Substtutng () nt () yelds s f f e k f f
27 Chapter 5, Prblem 5. Calculate n the p amp crcut f Fg kω V _ 0 kω Fgure 5.63 Fr Prb Chapter 5, Slutn 5. Ths s a ltage fllwer. If s the utput f the p amp, V 0k 0 ().5 V 0kk 3 POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
28 Chapter 5, Prblem 6 Determne n the crcut f Fg Fgure 5.6 Chapter 5, Slutn 6 b - 0.V 5k Ω - k Ω 8k Ω - 8 b / V 8 Hence, mA 5k 5k POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
29 Chapter 5, Prblem 7. Fnd n the p amp crcut n Fg V _ 6Ω 8 Ω Ω Ω Fgure 5.65 Fr Prb Chapter 5, Slutn 7. Ths s a ltage fllwer. (5) 3, 3 6 V V (3 V ).8 V 8 POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
30 Chapter 5, Prblem 8 Fnd n the p amp crcut f Fg Chapter 5, Slutn 8. Fgure 5.66 At nde, 0k 50k 0 But 0.V, -5, leads t 6.V Alternately, ewed as a nnnertng amplfer, ( (50/0)) (0.V).V /(0k)./(0k) 0 μa POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
31 Chapter 5, Prblem 9 Determne the ltage gan / f the p amp crcut n Fg Fgure 5.67 Chapter 5, Slutn 9 a b a, b But Or a b POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
32 Chapter 5, Prblem 30 In the crcut shwn n Fg. 5.68, fnd x and the pwer absrbed by the 0-Ω resstr. Fgure 5.68 Chapter 5, Slutn 30. The utput f the ltage becmes 30 0 kω By ltage dsn, x (.) 0.V 60 x 0. x 0μA 0k 0k p x 0.0 0k μw POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
33 Chapter 5, Prblem 3 Fr the crcut n Fg. 5.69, fnd x. Fgure 5.69 Chapter 5, Slutn 3. After cnertng the current surce t a ltage surce, the crcut s as shwn belw: At nde, () At nde, x () Frm () and (), 8 x 77.μA 6k POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
34 Chapter 5, Prblem 3 Calculate x and n the crcut f Fg Fnd the pwer dsspated by the 60-kΩ resstr. Fgure 5.70 Chapter 5, Slutn 3. Let x the ltage at the utput f the p amp. The gen crcut s a nn-nertng amplfer. 50 x ( mv) mv kΩ By ltage dsn, 0 x x mv 0 0 x x mv 600nA ( 0 0 ) k 0k 6 x0 p 3 60x0 0nW POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
35 Chapter 5, Prblem 33 efer t the p amp crcut n Fg Calculate x and the pwer dsspated by the 3- kω resstr. Fgure 5.7 Chapter 5, Slutn 33. After transfrmng the current surce, the current s as shwn belw: Ths s a nnnertng amplfer. 3 Snce the current enterng the p amp s 0, the surce resstr has a OV ptental drp. Hence V. 3 () 6V Pwer dsspated by the 3kΩ resstr s 36 mw 3k a 6 x -ma k POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
36 Chapter 5, Prblem 3. Gen the p amp crcut shwn n Fg. 5.7, express POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual, n terms f and. Fgure 5.7 Chapter 5, Slutn 3 0 n n () but 3 3 a () Cmbnng () and (), 0 a a a ) ( ) ( 3 3 O
37 Chapter 5, Prblem 35 Desgn a nn-nertng amplfer wth a gan f 0. Chapter 5, Slutn 35. A f 0 f 9 If 0kΩ, f 90kΩ POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
38 Chapter 5, Prblem 36 Fr the crcut shwn n Fg. 5.73, fnd the Thèenn equalent at termnals a-b. (Hnt: T fnd Th, apply a current surce and calculate.) Fgure 5.73 Chapter 5, Slutn 36 But V Th V ab. Thus, s V ab V Th Vab s ( ) s T get Th, apply a current surce I at termnals a-b as shwn belw. - a - b Snce the nnnertng termnal s cnnected t grund, 0,.e. n current passes thrugh and cnsequently. Thus, 0 and Th 0 POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
39 Chapter 5, Prblem 37 Determne the utput f the summng amplfer n Fg Fgure 5.7 Chapter 5, Slutn 37. f f f () () ( 3) V POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
40 Chapter 5, Prblem 38 Calculate the utput ltage due t the summng amplfer shwn n Fg Fgure 5.75 Chapter 5, Slutn 38. f f f f (0) ( 0) (50) ( 00) mV POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
41 Chapter 5, Prblem 39 Fr the p amp crcut n Fg. 5.76, determne the alue f n rder t make -6.5 V. Fgure 5.76 Chapter 5, Slutn 39 Ths s a summng amplfer. f f f () ( ) Thus, V POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
42 Chapter 5, Prblem 0. Fnd n terms f,, and 3, n the crcut f Fg _ 3 Fgure 5.77 Fr Prb Chapter 5, Slutn 0. Applyng KCL at nde a, where nde a s the nput t the p amp. a a 3 a 0 r a ( 3)/3 ( / ) a ( / )( 3 )/3. POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
43 Chapter 5, Prblem An aeragng amplfer s a summer that prdes an utput equal t the aerage f the nputs. By usng prper nput and feedback resstr alues, ne can get ut ( 3 ) Usng a feedback resstr f 0 kω, desgn an aeragng amplfer wth fur nputs. Chapter 5, Slutn. / /() f f The aeragng amplfer s as shwn belw: 0kΩ Chapter 5, Prblem A three-nput summng amplfer has nput resstrs wth 3 30 kω. T prduce an aeragng amplfer, what alue f feedback resstr s needed? Chapter 5, Slutn f 0 kω 3 POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
44 Chapter 5, Prblem 3 A fur-nput summng amplfer has 3 kω. What alue f feedback resstr s needed t make t an aeragng amplfer? Chapter 5, Slutn 3. In rder fr f f f f 3 3 t becme 3 f ( ) f 3kΩ POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
45 Chapter 5, Prblem Shw that the utput ltage f the crcut n Fg s ( ) ( ) ( ) 3 3 Fgure 5.78 Chapter 5, Slutn. POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual, b 0 b b At nde b, () a 3 a 0 3 a / At nde a, () But a. We set () and () equal. b 3 / r ( ) ( ) ( ) 3 3
46 Chapter 5, Prblem 5 Desgn an p amp crcut t perfrm the fllwng peratn: 3 - All resstances must be 00 kω. Chapter 5, Slutn 5. Ths can be acheed as fllws: / 3 / ( ) f ( ) f.e. f, /3, and / Thus we need an nerter t nert, and a summer, as shwn belw (<00kΩ). POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
47 Chapter 5, Prblem 6 Usng nly tw p amps, desgn a crcut t sle 3 ut 3 Chapter 5, Slutn 6. f x ( ) 3 ( ) 3 3.e. 3 f, 3 f. T get -, we need an nerter wth f. If f 0kΩ, a slutn s gen belw. f kω 0 kω POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
48 Chapter 5, Prblem 7. The crcut n Fg s fr a dfference amplfer. Fnd gen that V and V. 30 kω kω kω 0 kω Fgure 5.79 Fr Prb Chapter 5, Slutn 7. Usng eq. (5.8), kω, 30 kω, 3 kω, 0kΩ 30( / 30) 30 3 V () 5().09 V ( / 0). POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
49 Chapter 5, Prblem 8 The crcut n Fg s a dfferental amplfer dren by a brdge. Fnd. Fgure 5.80 POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
50 Chapter 5, Slutn 8. We can break ths prblem up nt parts. The 5 mv surce separates the lwer crcut frm the upper. In addtn, there s n current flwng nt the nput f the p amp whch means we nw hae the 0-khm resstr n seres wth a parallel cmbnatn f the 60-khm resstr and the equalent 00-khm resstr. Thus, 0k (60x00k)/(60) 77.5k whch leads t the current flwng thrugh ths part f the crcut, 5m/77.5k 6.5x0 8 The ltage acrss the 60k and equalent 00k s equal t, x37.5k.9mv We can nw calculate the ltage acrss the 80-khm resstr x.9m.935mV whch s als the ltage at bth nputs f the p amp and the ltage between the 0- khm and 80-khm resstrs n the upper crcut. Let be the ltage t the left f the 0-khm resstr f the upper crcut and we can wrte a nde equatn at that nde. ( 5m)/(0k) /30k (.935m)/0k 0 r 6 30m m 0 r m/ 3.55mV The current thrugh the 0k-hm resstr, left t rght, s, 0 (3.55m.935m)/0k 6.599x0 8 A thus,.935m 6.599x0 x80k.935m 5.79m 3.3 mv. 8 POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
51 Chapter 5, Prblem 9 Desgn a dfference amplfer t hae a gan f and a cmmn mde nput resstance f 0 kω at each nput. Chapter 5, Slutn 9. 0kΩ, /( ) 3.e. 0kΩ Verfy: 3 / / ( 0.5) 0.5 ( ) Thus, 3 0kΩ, 0kΩ POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
52 Chapter 5, Prblem 50 Desgn a crcut t amplfy the dfference between tw nputs by. (a) Use nly ne p amp. (b) Use tw p amps. Chapter 5, Slutn 50. (a) We use a dfference amplfer, as shwn belw: ) ( ) (,.e. / If 0 kω then 0kΩ (b) We may apply the dea n Prb / / f.e. f, / ( ) f ( ) We need an nerter t nert and a summer, as shwn belw. We may let 0kΩ. POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
53 Chapter 5, Prblem 5 Usng tw p amps, desgn a subtractr. Chapter 5, Slutn 5. We achee ths by cascadng an nertng amplfer and tw-nput nertng summer as shwn belw: Verfy: But -a - a -. Hence -. POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
54 Chapter 5, Prblem 5 Desgn an p amp crcut such that Let all the resstrs be n the range f 5 t 00 kω. Chapter 5, Slutn 5 A summng amplfer shwn belw wll achee the bjecte. An nerter s nserted t nert. Let 0 k Ω. / / / POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
55 Chapter 5, Prblem 53 The rdnary dfference amplfer fr fxed-gan peratn s shwn n Fg. 5.8(a). It s smple and relable unless gan s made arable. One way f prdng gan adjustment wthut lsng smplcty and accuracy s t use the crcut n Fg. 5.8(b). Anther way s t use the crcut n Fg. 5.8(c). Shw that: (a) fr the crcut n Fg. 5.8(a), (b) fr the crcut n Fg. 5.8(b), G (c) fr the crcut n Fg. 5.8(c), G POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
56 Fgure 5.8 POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
57 Chapter 5, Slutn 53. (a) At nde a, a a a () b At nde b, () But POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual, a. Settng () and () equal ges b
58 (b) POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual, At nde A, / / a A g A B A ( ) a A A B g A () r g b B A B B / / At nde B, b B A B g B ) ( () r Subtractng () frm (), ( ) a b A B A B g A B Snce, a, b ( ) A B g g A B (3) r
59 But fr the dfference amplfer, / ( ) B A r B A () Equatng (3) and (), g g POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
60 / A a a (c) At nde a, A a a () B b b At nde b, () Snce POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual, a, we subtract () frm (), b ) ( A B A B r (3) At nde A, / / A g A B A a ( ) A A B g A a () / 0 / B g A B B b At nde B, ( ) B A B g B b (5) Subtractng (5) frm (), ( ) B A A B g A B ( ) g A B (6) Cmbnng (3) and (6), g g
61 Chapter 5, Prblem 5. Determne the ltage transfer rat / s n the p amp crcut f Fg. 5.8, where 0 kω. s Fgure 5.8 Fr Prb Chapter 5, Slutn 5. The frst stage s a summer (please nte that we let the utput f the frst stage be ). s s The secnd stage s a nnnertng amplfer ( /) ( s ) r 3 s / s POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
62 Chapter 5, Prblem 55 In a certan electrnc dece, a three-stage amplfer s desred, whse erall ltage gan s db. The nddual ltage gans f the frst tw stages are t be equal, whle the gan f the thrd s t be ne-furth f each f the frst tw. Calculate the ltage gan f each. Chapter 5, Slutn 55. Let A k, A k, and A 3 k/() A A A A 3 k 3 /() 0Lg0 A Lg A. A k 3 A k Thus A A 7.956, A Chapter 5, Prblem 56. Calculate the gan f the p amp crcut shwn n Fg kω 0 kω kω 0 kω Fgure 5.83 Fr Prb Chapter 5, Slutn 56. Each stage s an nertng amplfer. Hence. 0 0 ( )( ) 0 0 s POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
63 Chapter 5, Prblem 57. Fnd n the p amp crcut f Fg kω 50 kω 00 kω 00 kω s 50 kω 00 kω 50 kω s Fgure 5.8 Fr Prb Chapter 5, Slutn 57. Let be the utput f the frst p amp and be the utput f the secnd p amp. The frst stage s an nertng amplfer. 50 s s 5 The secnd state s a summer. (00/50)s (00/00) s The thrd state s a nnnertng amplfer 00 ( ) 3 6s 6 s 50 s POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
64 Chapter 5, Prblem 58 Calculate n the p amp crcut f Fg Fgure 5.85 Chapter 5, Slutn 58. Lkng at the crcut, the ltage at the rght sde f the 5-kΩ resstr must be at 0V f the p amps are wrkng crrectly. Thus the -kω s n seres wth the parallel cmbnatn f the 3-kΩ and the 5-kΩ. By ltage dsn, the nput t the ltage fllwer s: 3 5 (0.6) 0.393V t the utput f the frst p amp. 3 5 Thus 0((0.393/5)(0.393/)).739 V. 0 k ma POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
65 Chapter 5, Prblem 59. In the p amp crcut f Fg. 5.86, determne the ltage gan / s. Take 0 kω. s _ Fgure 5.86 Fr Prb Chapter 5, Slutn 59. The frst stage s a nnnertng amplfer. If s the utput f the frst p amp, ( /)s 3 s The secnd stage s an nertng amplfer (/) (3s) s / s. POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
66 Chapter 5, Prblem 60. Calculate / n the p amp crcut n Fg kω 0 kω 5kΩ kω 0 kω Fgure 5.87 Fr Prb Chapter 5, Slutn 60. The frst stage s a summer. Let V be the utput f the frst stage () 5 By ltage dsn, () 6 Cmbnng () and (), /0 0.6 POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
67 Chapter 5, Prblem 6. Determne n the crcut f Fg kω 0 kω 0 kω 0.V 0. V 0 kω 0 kω Fgure 5.88 Fr Prb Chapter 5, Slutn 6. The frst p amp s an nerter. If s the utput f the frst p amp, 00 (0.) 0.8 V 00 The secnd p amp s a summer V 0 0 (0.) (0.8) V 0 0 POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
68 Chapter 5, Prblem 6 Obtan the clsed-lp ltage gan / f the crcut n Fg Fgure 5.89 Chapter 5, Slutn 6. Let utput f the frst p amp utput f the secnd p amp The frst stage s a summer f () The secnd stage s a fllwer. By ltage dsn POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual, 3 3 () Frm () and (), 3 f f 3 f 3 ( ) f f 3 f
69 Chapter 5, Prblem 63 Determne the gan / f the crcut n Fg Fgure 5.90 Chapter 5, Slutn 63. The tw p amps are summers. Let be the utput f the frst p amp. Fr the frst stage, 3 () Fr the secnd stage, 6 5 () Cmbnng () and (), POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
70 Chapter 5, Prblem 6 Fr the p amp crcut shwn n Fg. 5.9, fnd / s. Fgure 5.9 Chapter 5, Slutn 6 G G G 3 G - - 0V 0V s G - - At nde, 0 s that KCL ges G G G () s At nde, G s G 3 G () Frm () and (), G s G Gs G3 ( G G ) s ( G3 G ) r G G G G s 3 POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
71 Chapter 5, Prblem 65 Fnd n the p amp crcut f Fg Fgure 5.9 Chapter 5, Slutn 65 The utput f the frst p amp (t the left) s 6 mv. The secnd p amp s an nerter s that ts utput s 30 ' (6mV) -8 mv 0 The thrd p amp s a nnnerter s that 0 8 ' '.6 mv POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
72 Chapter 5, Prblem 66 Fr the crcut n Fg. 5.93, fnd. Fgure 5.93 Chapter 5, Slutn (6) () () V POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
73 Chapter 5, Prblem 67 Obtan the utput n the crcut f Fg Fgure 5.9 Chapter 5, Slutn (0.) (0.) V POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
74 Chapter 5, Prblem 68. Fnd n the crcut n Fg. 5.95, assumng that f (pen crcut). Chapter 5, Slutn 68. If, the frst stage s an nerter. q Fgure 5.95 V a 5 (0) 30mV 5 when V a s the utput f the frst p amp. The secnd stage s a nnnertng amplfer. 6 a ( 3)( 30) -0mV POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
75 Chapter 5, Prblem 69 epeat the preus prblem f 0 kω. f 5.68 Fnd n the crcut n Fg. 5.93, assumng that f (pen crcut). Fgure 5.93 Chapter 5, Slutn 69. In ths case, the frst stage s a summer Fr the secnd stage, a 5 5 (0) a a ( 30.5 ) mV 7 POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
76 Chapter 5, Prblem 70 Determne n the p amp crcut f Fg Fgure 5.96 POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
77 Chapter 5, Slutn 70. The utput f amplfer A s A () () The utput f amplfer B s B 0 0 (3) () 0 0 b 0 ( ) V 60 0 At nde a, A 0 a a 0 But a b -V, (-9) -- Therefre, V POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
78 Chapter 5, Prblem 7 Determne n the p amp crcut n Fg Fgure 5.97 POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
79 Chapter 5, Slutn 7 5k Ω 0k Ω 00k Ω - 0k Ω V 80k Ω - - 0k Ω 0k Ω - - 0k Ω - 3 3V 50k Ω - 30k Ω 0 50, () 8, 3 ( ) ( 0 0) 0 V POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
80 Chapter 5, Prblem 7 Fnd the lad ltage n the crcut f Fg L Chapter 5, Slutn 7. Fgure 5.98 Snce n current flws nt the nput termnals f deal p amp, there s n ltage drp acrss the 0 kω resstr. As a ltage summer, the utput f the frst p amp s 0 0. The secnd stage s an nerter (0.) -V Chapter 5, Prblem 73 Determne the lad ltage n the crcut f Fg L Chapter 5, Slutn 73. Fgure 5.99 The frst stage s an nerter. The utput s 50 0 (.8).8 0.8V 0 The secnd stage s 0.8V 0 POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
81 Chapter 5, Prblem 7 Fnd n the p amp crcut f Fg Fgure 5.00 Chapter 5, Slutn 7. Let utput f the frst p amp nput f the secnd p amp. The tw sub-crcuts are nertng amplfers 00 (0.6) 6V 0 3 (0.) 8V μa 0k 0k POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
82 Chapter 5, Prblem 75 ewrk Example 5. usng the nndeal p amp LM3 nstead f ua7. Example 5. - Use PSpce t sle the p amp crcut fr Example 5.. POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
83 Chapter 5, Slutn 75. The schematc s shwn belw. Pseud-cmpnents VIEWPOINT and IPOBE are nled as shwn t measure and respectely. Once the crcut s saed, we clck Analyss Smulate. The alues f and are dsplayed n the pseud-cmpnents as: 00 μa ( / ) -/ s The results are slghtly dfferent than thse btaned n Example 5.. POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
84 Chapter 5, Prblem 76 Sle Prb. 5.9 usng PSpce and p amp ua Determne n the crcut f Fg Chapter 5, Slutn 76. Fgure 5.57 The schematc s shwn belw. IPOBE s nserted t measure. Upn smulatn, the alue f s dsplayed n IPOBE as μa POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
85 Chapter 5, Prblem 77 Sle Prb. 5.8 usng PSpce and p amp LM The crcut n Fg s a dfferental amplfer dren by a brdge. Fnd. Fgure 5.78 Chapter 5, Slutn 77. The schematc fr the PSpce slutn s shwn belw. Nte that the utput ltage, 3.33 mv, agrees wth the answer t prblem, 5.8. POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
86 Chapter 5, Prblem 78 Use PSpce t btan n the crcut f Fg Chapter 5, Slutn 78. Fgure 5.0 The crcut s cnstructed as shwn belw. We nsert a VIEWPOINT t dsplay. Upn smulatng the crcut, we btan, mv POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
87 Chapter 5, Prblem 79 Determne n the p amp crcut f Fg. 5.0 usng PSpce. Chapter 5, Slutn 79. Fgure 5.0 The schematc s shwn belw. A pseud-cmpnent VIEWPOINT s nserted t dsplay. After sang and smulatng the crcut, we btan, -.6 V POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
88 Chapter 5, Prblem 80. Use PSpce t sle Prb Chapter 5, Slutn 80. The schematc s as shwn belw. After t s saed and smulated, we btan. V. POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
89 Chapter 5, Prblem 8 Use PSpce t erfy the results n Example 5.9. Assume nndeal p amps LM3. Example Determne and n the p amp crcut n Fg Answer: 0 V, ma. Chapter 5, Slutn 8. The schematc s shwn belw. We nsert ne VIEWPOINT and ne IPOBE t measure and respectely. Upn sang and smulatng the crcut, we btan, 33. mv.5 μa POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
90 Chapter 5, Prblem 8 A fe-bt DAC cers a ltage range f 0 t 7.75 V. Calculate hw much ltage each bt s wrth. Chapter 5, Slutn 8. The maxmum ltage leel crrespnds t 5 3 H ence, each bt s wrth (7.75/3) 50 mv Chapter 5, Prblem 83 Desgn a sx-bt dgtal-t-analg cnerter. (a) If V.875 V s desred, what shuld [V V V 3 V V 5 V 6 ] be? (b) Calculate V f [V V V 3 V V 5 V 6 ] [00]. (c) What s the maxmum alue V can assume? Chapter 5, Slutn 83. The result depends n yur desgn. Hence, let G 0 k hms, 0 k hms, 0 k hms, 3 0 k hms, 80 k hms, 5 60 k hms, 6 30 k hms, then, - ( f / ) ( f / 6 ) (a) (/8) (/6) whch mples, [ ] [000] (b) 0 (/) (/) 0 (/6) (/3) (7/3) mv (c) Ths crrespnds t [ ]. (/) (/) (/8) (/6) (/3) 63/ V POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
91 Chapter 5, Prblem 8 A fur-bt - ladder DAC s presented n Fg (a) Shw that the utput ltage s gen by V f V V V3 V 8 6 (b) If f kω and 0 kω, fnd V fr [VVV3V ] [0] and [VVV3V] [00]. Fgure 5.03 POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
92 Chapter 5, Slutn 8. Fr (a), the prcess f the prf s tme cnsumng and the results are nly apprxmate, but clse enugh fr the applcatns where ths dece s used. (a) The easest way t sle ths prblem s t use superpstn and t sle fr each term lettng all f the crrespndng ltages be equal t zer. Als, startng wth each current cntrbutn ( k ) equal t ne amp and wrkng backwards s easest. Fr the frst case, let 3 0, and A. Therefre, lts r /(). Secnd case, let 3 0, and A. Therefre, 85/ lts r /(85). Clearly ths s nt (/ th ), s where s the dfference? (/85) 0.7 whch s a really gd apprxmatn fr 0.5. Snce ths s a practcal electrnc crcut, the result s gd enugh fr all practcal purpses. Nw fr the thrd case, let 0, and 3 A. POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
93 Therefre, lts r 3 3 /(8.5). Clearly ths s nt (/8 th ), s where s the dfference? (/8.5) whch s a really gd apprxmatn fr 0.5. Snce ths s a practcal electrnc crcut, the result s gd enugh fr all practcal purpses. Fnally, fr the furth case, let 0, and 3 A. Therefre, 6.5 lts r /(6.5). Clearly ths s nt (/6 th ), s where s the dfference? (/6.5) whch s a really gd apprxmatn fr Snce ths s a practcal electrnc crcut, the result s gd enugh fr all practcal purpses. Please nte that a gal f a lt f electrnc desgn s t cme up wth practcal crcuts that are ecnmcal t desgn and buld yet ge the desred results. (b) If f k hms and 0 k hms, - (/0)[ ( /) ( 3 /) ( /8)] 0.6[ ] Fr [ 3 ] [ 0 ], 0.6[ ] 85 mv Fr [ 3 ] [0 0 ], 0.6[ ] 375 mv POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
94 Chapter 5, Prblem 85. In the p amp crcut f Fg. 5.0, fnd the alue f s that the pwer absrbed by the 0-kΩ resstr s 0 mw. Take V. s _ s 0 kω 0kΩ Fgure 5.0 Fr Prb Chapter 5, Slutn 85. Ths s a nnnertng amplfer. ( /0k)s ( /0k) The pwer beng delered t the 0-kΩ ge us P 0 mw ( ) /0k r eturnng t ur frst equatn we get 0 x0 0V 0 ( /0k) r /0k 5 Thus, 60 kω. POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
95 Chapter 5, Prblem 86 Assumng a gan f 00 fr an IA, fnd ts utput ltage fr: (a) 0.0 V and V (b).00 V and.0 V. Chapter 5, Slutn 86. A( ) 00( ) (a) 00( ) -3. V 00(.0.00).8 V Chapter 5, Prblem 87 Fgure 5.05 dsplays a tw-p-amp nstrumentatn amplfer. Dere an expressn fr n terms f and. Hw can ths amplfer be used as a subtractr? Chapter 5, Slutn 87. Fgure 5.05 The utput, a, f the frst p amp s, a ( ( / )) () Als, (- / 3)a ( ( / 3 )) () Substtutng () nt (), (- / 3) ( ( / )) ( (/ 3)) Or, ( ( / 3 )) ( / 3 ( / 3 )) If and 3, then, ( ( /3))( ) whch s a subtractr wth a gan f ( ( / 3 )). POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
96 Chapter 5, Prblem 88 Fgure 5.06 shws an nstrumentatn amplfer dren by a brdge. Obtan the gan / f the amplfer. Fgure 5.06 POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
97 Chapter 5, Slutn 88. We need t fnd V at termnals a b, frm ths, Th ( / )( ( 3/ ))VTh (500/5)( (0/))V Th 0V Th Nw we use Fg. (b) t fnd V Th n terms f. a (3/5), (/3) b V Th b a (/5) ( / ) A -0/ POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
98 Chapter 5, Prblem 89. Desgn a crcut that prdes a relatnshp between utput ltage and nput ltage s such that s 0. Tw p amps, a 6-V battery and seeral resstrs are aalable. Chapter 5, Slutn 89. A summer wth (5/3) where 6-V battery and an nertng amplfer wth s. POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
99 Chapter 5, Prblem 90 The p amp crcut n Fg s a current amplfer. Fnd the current gan /s f the amplfer. Chapter 5, Slutn 90. Fgure 5.07 Transfrmng the current surce t a ltage surce prduces the crcut belw, At nde b, (/( )) /3 b At nde a, (5 s a)/5 ( a )/0 But a b /3. 0 s (/3) (/3), r s /30 [(/( ))/] /6 / s ( /6)/( /30) 5 POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
100 Chapter 5, Prblem 9 A nnnertng current amplfer s prtrayed n Fg Calculate the gan / s. Take 8 kω and kω. Chapter 5, Slutn 9. Fgure 5.08 () But s () and hae the same ltage,, acrss them., whch leads t ( /) (3) Substtutng () and (3) nt () ges, s ( / ) / s ( / ) 8/ 9 POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
101 Chapter 5, Prblem 9 efer t the brdge amplfer shwn n Fg Determne the ltage gan /. Fgure 5.09 Chapter 5, Slutn 9 The tp p amp crcut s a nn-nerter, whle the lwer ne s an nerter. The utput at the tp p amp s ( 60/30) 3 whle the utput f the lwer p amp s -(50/0) -.5 Hence, / 5.5 POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
102 Chapter 5, Prblem 93 A ltage-t-current cnerter s shwn n Fg. 5.0, whch means that L A f 3. Fnd the cnstant term A. Fgure 5.0 POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
103 Chapter 5, Slutn 93. At nde a, ( a)/ (a )/ 3 a ( / )( a ) (/ 3) ( /3) a () But a b L. Hence, () becmes ( / 3)L ( / 3) () /( L), L ( /( L)) ( /( L ))( /( L)) Or, L[( L)( L)/ (3) But, L L () L Substtutng (3) and () nt (), ( /3) L L [( L)/( 3)]( L) L [(( 3 )/ 3)L (( L)/( 3)( ( L /( L))] L Thus, A (/A) L 3 L 3 L L L Please nte that A has the unts f mhs. An easy check s t let eery resstr equal - hm and equal t ne amp. Gng thrugh the crcut prduces L A. Pluggng nt the abe equatn prduces the same answer s the answer des check. POPIETAY MATEIAL. 007 The McGraw-Hll Cmpanes, Inc. All rghts resered. N part permtted by McGraw-Hll fr ther nddual curse preparatn. If yu are a student usng ths Manual,
Chapter 14, Problem 1. Find the transfer function V o. /V i. of the RC circuit in Fig. 14.68. Express it using ω = 1/RC. Figure 14.68 For Prob. 14.1.
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