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exam3_solution - Prof Sam Palermo ECEN 325 Exam#3 December...

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Unformatted text preview: Prof. Sam Palermo ECEN 325 Exam #3 December 1, 2011 Texas A&M University Department of Electrical and Computer Engineering ECEN 325 — Electronics Fall 2011 Exam #3 Instructor: Sam Palermo - Please write your name in the space provided below 0 Please verify that there are 4 pages in your exam 0 You may use gm; double-sided page of notes and equations for the exam 0 Good Luck! Prof. Sam Palermo ECEN 325 Exam #3 December 1, 2011 Problem 1 (30 points) For all the circuits below, use the following NMOS parameters KPN=unCox=100uA/V2, VTN=1V, xN=OV" and the following PMOS parameters KPp=upC0x=3OuA/V2, VTp=-lV, xp=ovl For the following two circuits calculate i. ID with W2/L2=20/ 1. (10 points) ii. The minimum W2/L2 such that the M1 transistor remains in saturation (10 points) a) 10V Saar: {/05 2V4; “V7” For 50H“ " / ,. V 2'~\/ —‘ V Vm Eév-Iuw‘” 50’ 5" 7” v 6v 2 V90! ZéV’sz To: l£%(lo)(S\/) :IZSnA of V ‘élou,§'v : CV 2 - , , 2(25m0 > g 30 ( :3.” 4M2 \lot’ [0‘] Gigi—(337+) 10’ #(lo) M 15.441/ ~‘f>/Vll5a+ V0,: 7" :; Zoﬁm/r—DM/ ICC/“(207 5&1" .. ) ‘ For Umzsu «7 bi = : 5523* For V :9”? u mam) , (L32 IOWQW) at z [Mm/M (4v); 10(W2/L2=20/1)= (294/4 ID(W2/L2=20/l)= 3,75,”); M1 sat Minwil/LZ: 151628” Ml Sat. MinWZ/L2= 416% c) For the following circuit ﬁnd the values for 1134 and VOUT. Assume all transistors are operating in saturation. (10 points) [ ) 10V 9M. (MAM + M We r3 (/M 1/!“ 3 m 20/ 2 / I + r 1 : gm A lot 2 “’4 (’04) ' ‘34 Prof. Sam Palermo ECEN 325 Exam #3 December 1, 2011 Problem 2 (35 points) Assume for problem 2 that the NMOS transistors are all operating in saturation and have KPN=unCox=100uA/V2, VTN=1V, XN=0V’1 a) Calculate the DC values for ID, VD, VG, V5 and the AC small-signal gml. (10 points) 10v T:me ml'f/Lf I (20 l A To :: (29") M kn It 4:1) Va: ’0‘] 400k+6wl<> / Vs = gml= 4""??? b) Sketch the small-signal model of the circuit. Assume that the capacitors act as AC shorts and only draw the essential transistor(s). (10 points) ’ , Gl a‘ Av: {OV/y / ~ c E ‘ riot?” lei/2 __,: £3“; M: ( ~ it V ROUI=EK/IL Prof. Sam Palermo ECEN 325 Exam #3 December 1, 2011 Problem 3 (35 points) This problem involves the small signal analysis of the circuit below. Assume that the transistors are all operating in saturation and have r0=oo. a) Sketch the Circuit’s small-signal model. Assume the capacitors act as AC shorts. (15 points) VDD b) Derive expressions for the small signal gain AV=V0/Vi, input resistance Rm, and output reSIStance Rout. (20 pomts) r V ’9 __ 05’“??? I?! 904’? MoJcl Above ‘ VA " “<33”?! 1’ I MN :) ﬁbrin {mt grew} 2 £2.(,"0)M:(9‘3“2¥?F> 14L 4% 7/3 Av Kg: +82 *’ grufzﬂF F223- +5”)? IQ: 6M 4» ?é , Rm= r95: K” 4' l 'e’ I Prof. Sam Palermo (M Kim ECEN 325 Exam #3 Scratch Paper Made, ‘ .5 December 1, 2011 ...
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