UNIVERSITY OF CALIFORNIA College of Engineering Department of Electrical Engineering and Computer Sciences
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1 Name [ oit]: AMIN SID: UNIESITY OF CAIFONIA College of Egieerig Deartmet of Electrical Egieerig ad Comuter Sciece Midterm EECS 05 B E BOSE Setember 8 00 FA 00 Show derivatio ad mark reult with box aroud them Erae or cro out erroeou attemt Simlify algebraic reult a much a oible! Mark your ame ad SID at the to of the exam ad all extra heet For Office Ue Oly: Poit Problem Problem Problem 3 Problem TOTA
2 Problem [5 oit]: Sheet reitace Show below i the layout of a -tye reitor with N A thicke t m Electroic charge q 6 0 C 50 ad (a [0 t] Calculate the heet reitace h i Ω/ (b [0 t] Aumig h kω / (ot the correct awer for art a calculate the reitace betwee termial ad for m (c [5 t] eeat art (b with m ANSES (a h q t q N t h 500Ω quare A (6 x0 9 C (0 7 3 (50 (0 5 (b The umber of quare i the egmet marked by red i 5 The umber of 9 quare i the egmet marked by gree i 3 Hece the total umber of quare 3 equal A a reult kω h ( umber of quare ( quare (8 quare 8kΩ (c From art (b the value of doe ot eter ito the exreio for Hece the value for i uaffected from art (b ad i equal to 8 kω
3 Problem [5 oit]: Carrier traort I thi roblem you are to deig a over-curret rotectio device Aume that the lab of ilico how below i doed with a accetor cocetratio of N a (with N a >> i 3 N 0 6 a 50 v 0 6 at t 0m 50 m 9 00 m electroic charge q 6 0 C t (a [5 t] Derive a aalytical exreio ad calculate the umerical value for the maximum curret I max (b [0 t] Derive a aalytical exreio ad calculate the umerical value for c (ee the I- curve below for the defiitio of c I I max 0 c 3
4 ANSES (a ma x x C x I t v N q A v q I at a at 8 0 (0 0 (50 (0 (0 0 ( max max (b x v E v c at c c c at (00 (0 6
5 Problem 3 [ oit]: egio of oeratio Show below are both ad traitor with variou termial voltage referred to groud Idetify the ource termial ( or ad the regio of oeratio (cutoff or triode of each traitor by circlig the correct awer i the table rovided T T T0 T0 - / - / ( ϕ BS ϕ ( ϕ ϕ T 0 + γ T 0 + SB γ Examle (a (b (c (d (e (f Circuit Source Termial egio Examle (a (b (c (d (e (f 5
6 ANSES (a i the ource termial Alo T T0 becaue the ource ( ad bulk are at the ame otetial The traitor i cutoff becaue ( < GS 3 T (b i the ource termial Alo T T0 becaue the ource ( ad bulk ( are at the ame otetial The traitor i i triode becaue SG > T ad SD 5 3 < SG T 3 T 5 0 (c i the ource termial Alo T T0 becaue the ource ( ad bulk ( are at the ame otetial The traitor i cutoff becaue < SG 3 T (d i the ource termial Alo i the bulk termial A a reult T T0 + γ ( φ BS φ T0 + γ ( φ ( φ T + ( ( 3 The traitor i cutoff becaue < GS 3 T (e i the ource termial Alo i the bulk termial A a reult T T0 + γ ( φ SB φ T0 + γ ( φ ( φ T + ( ( ( 8 The traitor i i triode becaue SG > T 3 ad 3 SD 5 < SG T 3 T
7 (f i the ource termial Alo T T0 becaue the ource ( ad bulk are at the ame otetial The traitor i i triode becaue ( GS > T ad DS 0 00 < GS T 3 T
8 Problem [5 oit]: CMOS witch For thi roblem igore the backgate effect; that i let 0 T0 T0 - C ox 00 A/ C ox 00 A/ i 5 m? m o m? m 0 Figure : CMOS witch for art (a (a [5 t] Fid ad uch that io k for both i o 0 ad i o 5 (ee Figure above io i the reitace betwee the iut ad outut termial i ad o (b [0 t] Now let 0 m ad 0 m (ee Figure below NOTE: thee are ot the awer you foud for art (a Calculate io for i o 5 m 0 m i o m 0 m 0 Figure : CMOS witch for art (b 8
9 ANSES For 0 DS C ox ( ( GS T0 ( Alo for 0 SD C ox ( ( SG T0 ( (a For the traitor i off Hece i o 0 kω (00 A ( (5 0 m io 5m For the traitor i off Hece i o 5 kω (00 A ( (5 0 m io 0m Solvig for yield Solvig for yield (b From ( above kω A m Similarly 0 (00 ( (5 m uig ( above kω But io i the A 0 m (00 ( ( 0 m arallel combiatio of ad Hece io 500Ω + 9
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