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quiz3_2001_soln - Rensselaer Polytechnic Institute...

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Unformatted text preview: Rensselaer Polytechnic Institute Department of Electrical, Computer and Systems Engineering ECSE-ZOSO Spring 2001 Quiz 111 Print your name on every page and show all work to ensure partial credit. Problem 1 (25 points) Problem 2 (25 points) Problem 3 (25 points) Problem 4 (25 points) Total Name Problem 1:, Consider the multistage amplifier shown below. +30V £5 : I00 1955: ISLmFl aEOk VP: —3\/ ob 1—H Ca , om ML 1; 1°=5mfi J 1;: a eS’mA \O\4.JL. 00 Q3 96 WH Q3. 1 + t/<3 Vt - lock-CL: taut oe ak‘fi— 504 @ a) Identify amplifier type for each stage (e.g. common emitter, common gate, etc) and indicate the type on the schematic diagram above. (92;) b) Determine the mid-frequency voltage gain for the whole amplifier, vo/vt. Show your steps clearly to maximize partial credit. SM dab Mid w m Auto Mm cc: (WQOWQMQ _ to! (Amuse) A : a akusé " PW + (who «cued “rt “3“ B i too ‘ = #465“ = .373. , Gr: ,3» ‘ $14912. 08'“ a5}! i {:3 ® (9 RC3: rrr + (t+cs.)(ak.uso\ .—; Silas/q; WW 7 v 7 Wm» _,_ CG- '— Cs: Name : Av: cngCliluKL) = 1m (akllS.HC/<) % a f A (QM: JV 12:: (low 7' “9(Bzrm36’m ,OOSIG N "75 AVA: (- Oosmxflqqx“ = \7.‘Ié ® A4.— -?M (RDHLL) ; 'ij‘N) :—( .oo (33 Kg: I®I<1l>>[email protected] — _ ezru'K , H. - 2 . 373 -: C3) 10K+¢°?.7>‘K. q) A =(.8'B)(—D(7Ve)(.‘i</E) r- @ 1 Name Problem 2: ' The circuit below features an enhancement n-channel MOSFET that is biased with ID = lmA. +aov R‘HK3= IH.Q_ ‘0‘“2- k ’ W/;_ = H mA /v* Q; l—‘T—c V : IV J Immlo + vo T + EIOKJL C35:3PP C34=4PF @ a) Determine the mid—frequency voltage gain, vo/vt. m 3 W1 7\Jé~CVmA/v})(lm4) Vie Wm 5W g b 4 %Z : ‘thUokquY: 3' :— “3.858) a 71%.! > K (9+ c) (—13: ‘KI’HZA = N7 lH‘f'fCll/IC} lH-HM ”5” ‘7') V%¢ ‘Cv§)(-N.I) =- Q03 b) Determine the capacitor values to produce a lower 3 dB frequency of 5 Hz. Cm: 2%:H44'N’1‘QV] +’ .—. -—J-— ’5” a) = ’ q : C3) 553 377(>H)(<‘ -5H? (<1 /s. m Name CC}: Rafi = tots 4- tok=>OK I’hMfiM—bi C43¢¢oLW 69 lo , ganged (2° (5:1); F - ’A C? (C;‘ /3’.q/L~F (C’215’9nfr; .IS'Ci/kF Ll/O) c) Determine the upper 3 dB frequency for the amplifier. Name K-( -—/s‘( _ C ‘ ‘ ————' F) .3 H 28 ta K «36'» —/‘/.I (“If 3 E91: IOKHIOK. = SK Q’QJSKKQJJF) : Jcflxw"? C7) ”'21“ ‘53de ’1'“ : flu-r? (if) Name Problem 3: I The circuit below uses shunt-shunt feedback. 0? 0mg ”lament/reruns IONIC. a? a) Use feedback analysis to find the gain of the amplifier, vo/vs, when the op amp has the parameters listed above. Show your analysis of the feedback network and the modified for- ward amplifer as part of your solution. Hint: perform a Thevenin to Norton conversion to make the input a current source with a parallel resistance rather than a voltage source with a series resistance (to match our earlier work with shunt-shunt amplifiers). Reverse the process at the end to get the voltage gain from the trans—resistance. Name 4 4 IOKflgo a k , (moon/a) -— Hm VAL Jere-r/oK/ls‘zs _U& : LS (Slgll IOKIHH) = 65 (3.33K) (9 g) V443 :{lqi,;)(3.33/<) ; e44: KJL— Cu—kk ME OR l/ \ “éélK ‘ ‘ ¢ O/C" .J— ' ~4,85'kJL £1?) (E) b) Assume that the operational amplifier has a DC gain of 1000 and poles at 100 Hz, 200 kHz and 5 MHz. Determine whether the amplifier is stable with a feedback factor of 0.01. "4’ .lf _ 1‘: :2! 44¢” ’WTJT ' ML 41¢??? “ ”3° .6le“?- l I' W = 1.9“”4“ S‘l’kfaLE Problem 4: , Name Consider the differential amplifier circuit shown below. -r 10V 3‘3' 3km. BC (Welt-hang (/0 I‘\:I<a_:.§mlq Va \ 1 l g Q “’Vx Emmi Small ‘Darwel-«s “ 0.03. HIV IMHL 1mA Ci“ FT), t. i0Kfl. -~aov ‘ 300 3) Find the differential gain, Ad = vo/vd. £2. )- N& ‘1' ‘gm (3“ "éo ““93. Mo 9' )- @ Name c) Assume that Ad = 30 and Acm = -0.1 (they don’t!). Find the small signal output voltage, v0, when v1 = 0.1 V and V2 = 0.075 V. Val: M‘V‘,= ./".¢75‘: ,0): (8 lg: PM“). = ‘/+.o7r:’0875- C3) >- LI *9 = M Na + Am ”c = 30 Cox) + c—. 044375”) 6) =- 10 ...
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