sp08_quiz_sol1 - ECSE 2050 Introduction to Electronics...

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Unformatted text preview: ECSE 2050 Introduction to Electronics Spring 2008 Quiz 2 Print you name on every page, Show all work to ensure partial credit. Problem 1 (15 points) Problem 2 (10 points) Problem 3 (25 points) Problem 4 (20 points) Total Problem 1 (l Spts) For the PMOS amplifier shown below, assume th= -0.8V, Kp’W/L=3.5mA/V2. Neglect channel length modulation 2.5V -=- *2.5V ‘3. ~"/U(i)For VG] = V02 = 0V, Find the following voltages (Vx, Vy, Va], and Mg) m i Name ; if \ —. 4,:“9‘ a, g 2‘“; 9/: f‘%“:2méi~ f3 ‘i ‘W‘f‘é : W ., / 0!; g £2 a 7M0“ (iii) If VG]:VG2:Vin, What is the maximum value of Vin after which the transistor M3 leaves its operating mode (changes from saturation to triode) ,4 / ww ,1 ,K w a A y”: g m WE m tax/w fig: :1 5 ,,- ’3: ii ; 2/2 3 \ . i; A xiii“ 953*» £4 $1 f,g§;"‘§/<f‘\rwm 1,, ‘.\ x W: (1 1’ 3M. { ; adv ‘” CE? ‘32 “”3“ “W“ ‘ waawaésam WVQM }» ‘r mima V“ E Y “’1 ,1 f if i; x a > 3/ Ext/EC!” ‘ p 1 113‘ .11: a E ‘- ‘ 8.41:” i E13391? 2? ~ {2.4 \3 : ff; '21 A $§z€A§km/%“Wyyw i A" \Eé?) ‘ .3. j a, g . 5M ,«3 x {If 53;" 5“; {3 _ ; av ~ r // {7/ ? 1/ §’(/‘ N f; \5//{/-, ,N M 4; ’z/ ‘3 "3 a w E 32%]; ' Dig; t g g f "‘43:“ / ”<4 i/ g: WM' ii A 5% (2‘ A {3/ A,” a L; {3 if .._/ 3 3 I, I l S 1: ifw’ W 5:13“, fitting; '7“ 5 F7 ; ' is, g}?! 's ’ i ii 53? ”gig ” as g“ If: M \ If? a ’ ’ V ’ pic 3 ix; i § ii: £3 :32. A? 1: w Ami». ;’ ‘ l 2 “Q ~ . ' a t Wit: 2 E tax“. 1/3“ ii:~4xg:} \_,/" kw— , :Mxmifi f I“ a 3‘ ‘ 1 / v fibwfir :3 «v :4 ” :2}; ; n 2 w m ‘ ¢;._ I i 2 ix ; €/ V i4/ ‘x 1 M ,s yr \ 4: 3/1, 2* , v a; ,g M a: a '; q w My 2’ ”’1 f < A ‘ V 5: 3 ix ”‘2“? L i I» g 3; :3 g y w . at; 7 L f M W WW”? ‘ i. 3 K Rb ., / 2/ M g/ 5/ U) Name: Problem 2 (10pts) For the circuits shown below(parts a and b), use VTn=0.4V, K’W/L=2mA/V2. Neglect the channel length modulation Sketch Ix as a function of Vx . Assume Vx goes from 0 to VDD=1.8V. Determine the value of Vx at which the device changes its region 0f operation. E” 7?”; €53??? 5/; £5: l 5,31 Aw“ fix “3 i,’ : Ix y/ m E? W P we. X ”A k} 1 q“ a”) e. ’2 w “w VVVVVVVVVVVVVVV “"6 333/ ““533“ 3:? , s ;§Amflwgyw§ / ML _fi«, VVVVVVVVVVVVVVVVVVV _,i‘ ‘Ml / . , eg SIX SKA; 73' ‘.:~ w..__:;»~§ / 3‘7 a ”"3" [Ar 5 M W s / i g E ‘g f M" t A? 5 . 2 a? A e~i<€h , » / 2 we L * ‘3 Ex M. 3?} 5 3 M n 2 7‘ .45: kg}: If! a ‘ < ;// M g// 1'2 w 5%] X g/‘g’f u/ / 3 "‘2 x..- f: 3% m f 2 K; 5 m ‘ g’ x; m g x a A ~ 02 d figs?” 3» -A c i * l me e. : g 5 r a wee a» 5 , ‘ _." 1 ,‘V :3 7 5X31“ ; z , i A“)! ‘ g}§%/Z‘(é';ywfi,§’e Z 3% J l J / /“ [a / 5‘?! 1 4 $12; $6; / m g} ' 5‘ 2 _ {A yes < egg as} w t 1/ C” s /’ /’ § K / K: » f g M 3/; x\ I ,» 3 «> i ré ~ fl l " w/ \e \ 2 \ V: "> {3 a»; :z :1 {,(/"\J \4 \ \Vx HM /: .2 K % i g “N“ """"" M: 3 ,.._. ifé/ix A?” 5 ”5 % i w» f t 9.; t :3 M if“ ’ e M,» MA»V \w A new :3 e : :21egswé’mz 951% ,3; wmwxfi“) 4,: s 2 , x m L“ g f 3 455 is g l s , w, i :11; W / / e we szwmmmw 4 {.5 L x / E» Name ”\ z; E / {2.41: rm “f"; a? \ x: . wk; Problem 3 (25 pts) Name: +15V 0 Rd 1k R91 C3 Vout Rsig C2 100uF ‘OOUF lngmA 10k 0 + Rload t R92 4k § Vll’l Vsig Rs C1 ' 100uF 200 0 TO Answer the following questions for the circuit shown. The transistor is an N—channel enhancement type MOSFET. Given: Vt = 1V and K’W/L = SmA/V2 Rgl and Rg2 have been picked so that ID = 8mA and Rg1//Rg2 = 80kg. For parts a) w (1), use k=0. Draw the small signal model for the midband frequencies. 1 Mnrfir—awmm ». ; s " l f/ « f a); W {i m gm U” M“ W ”Wm : t m \“ ‘Qytflr‘; ‘ Ex». M m 5&3; g g u 5; 5ng r‘ in i” M/kg‘fxa, ,«j l \ ““er ”Mn N AN {’L E: 1?” M? WNW g; E“ t 6 iv} 3, ’1‘ E {3 ’3 “ fl g j A Y #2:}; 3 gig“ KEV? £5 1/; Kg); 3 g i“ r 3 7 V ‘” tag? 2 g; g f J fizz“? “K i ‘3 a: l I; K E :“x a M g A ‘5 g g E 5:35 5 § W "~ 3 ”Al/ZR," \\:> 3 g 5 Lifaef «Kat/‘3‘ . 3 (w i ‘gké (é Ry? Name 1% Vout/Vs Vent/Vin and Gv= d) AV, and Gv, where Av Problem 2 (continue mine gm, {1) Deter X h? f 3 f a? ,3 13 e 9 w. M I)// n W w. i: fix», , L? as x 5m ,. g??? is i xi» “XW a; 3). 5 {M x my,» («my a; w d n a .m S 1V5 a n a y c n e u q e W... h 3%,: K m x. : f V 5.; #C 2x 6 £3 7 ,: 1/ y t ,: u JV: .m OK / :M jg? m. C x Q: g m 5 : fl ,1 A a m” infuiwd : My a ,K, Q43 8 f... i w ma 4” . : X: m m flwwgiu Vni if... fly 1 0 c: t m D. M 2 3/ Xx: .wb w g : l 3 8:: fig 1 . . a m Wu 3 WK? MW gigs: S n 3 e i e u m W a .6. w :7 r & ..: : 9: w M m 4 an :, 2/5 m g (x. AW :5 75”.} r “.m w WW. “I, 3 Fa z; ,, Q, 5? g , a E p m 7Q. 5 « : aka a. t .1: Q ,2. 3 Ma .5 5m 15 3:: « w c . 2 r z m h : 2 3 a W .m i: ,L FD. rim sawing ; m ”Kim f! 3r: 5 e f K g : d d: .m : t gflhwsde % / . . : ‘ . f: . jfiiflm: L :3; 7M: A ,M V V Problem 4 (25 pts): Name: In the circuit above, the NFET transistors have Vt=0.6V, V A=20. All transistors are operating with VGS=0.8V. The drain current of Q1 Id(Q1)=10,uA, the drain current of Q2, 1d(Q2)=ImA, R1=80KQ and R2=l 18m. 5 g g i, 3/: ,1? Draw the small signal model for the amplifier shown below (without feedback) that is formed by Q1 and Q3, éV/ié/ find gmla ngs I.ola and r02 5; 52’ “I: W” ””” :7: WWW“ 2’: :3 31’?!th 52; i f 5‘ {at/5 “e ie A 2; Q a 5 {g 3“ :1: km“ :7; MW" “Q :3, 4/: i: §< 4/3“ :5: 5; 5 we, 2. Find the voltage gain A of that amplifier (VD/Vin). For simplicity ignore r02 while estimating the gain. { A x” r: “g if f v; 5,: 3 5‘ {l 555? :2. l’ 33 33 l a 5., // {if 5 5 e 3 «3 5 / 5‘3? 2 " 3’ €535? 7 “13‘ 5 3» w- —-a I, 3/ gm ‘" V 5 5 5" 5,4 / 54/3; 3’ g ‘39; :5 , ,//‘t 5/ 3 a...#w_ ,,,,,,,,, “4,. i 5:}? f“ 5 :2 5w - 5; .5}? ‘3 iffifi; ‘j J: £593“ Jig/3““; 2. 5» 5 , 13/5 E/xj 5 5: a f 3 it 5‘ 552: c I" 3/ ”M” M if; V \ e": 5 // i/fi M W (1/; 3/}? f 35/ :J 5 - 5/ § :3 1M 5; f? E: 9/ 5 5 5? 'V ’ l x” ,5 / / if! : gffizggé ‘5 :x/ E3. Knowing the gain A, and using Miller theorem, fina/ the input resistance Rz'n ’“\ 5 ”d 233, 5 a“ 3/ ,3 Wm“ , 1 A. 5 5/ 5e 4 M V 2w. v f 5 I / 5 g 5 i n fix g f”: / W v S ’v 5-3;> 5 ,,,,, /’ g \7/ 3 1/ g 5 i 7 m I z ,/ f E , < / 3 5) 35 53 5, / 5! ;{{:J E x / 5 i. éxgy/Lfi M 1 l f 3/3 555‘? if C: M ’ 5x 5/ 5?? W N .5 :2: a» / / 3 ~ g/a» ix" 5 K j; v :25? a 55/5 5 355}; 5.2 w 5?», i «w r“ 5/ X i 5 5<255~5~yi§3 \ ) 5 ’ w {:3} 3 5:515 5i 1. gig: ’ t / l /' ,w W {J -H ,, 5 ,5 3, gig/é {<5 M 5 ~~ {513353; 15/ lO ...
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