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Fall 2001
Exam 2
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All questions must he answered on test paper!
Open Book, Open Notes
. Estimate the delays in the circuit below using the RC mode] developed in class includ-
ing the effects of the transistor threshold voltages 7, and Vz). Use as parameters the
channel sheet resistances, the widths of the transistors, ’,, .... Wo, and the node capac
itances, Cj, ..., Cs. You may assume that the capacitances already contain all parasitics
from the transistors and interconnect.
M1 V3
" “s—p 4
me Fo) Fes
4
M3 V4
Note: this circuit is not well designed and should not be used in practice.
FCEN 6263 Fall 2003 Exam 2 November 14, 2001
a. Sketch the voltage waveforms for V3, M4, V5 and ¥%— when Vand V2 are as shown
below, Show the value of the voltages in the diagram. Find initial values for V3, Vs,
V5 and V% by assuming that ¥\(0) = 0, Vo(t} = Vag for t<0.
cl
Hk fay Vay (4) Cut
t
——
"WT Gg {@ Fad \ Gua
t
¥;
Vag \ @) Vote
t
Vy \
Vue ond t
v,
Gnd Via - Ven :
vst ——
| os fa ,
vet pee
\e = : at vad 1
, Whatis the delay from V/, to V3 when F gocs from low to high (transistion (2) in the
figure)?
R Miata = /
g "oe af ») 4yF Sug c Maa +(Re. Rit ¢
4 an e mn we 3
v c abv,
fe 43,7 Ras ¢ Vdd ’ x “Jd~Ve\
R
wt t/Ens 2
we tf ne }
2 VMs Fe q NC
CEN 6263 Fall 2001 Exam 2 November 14, 200
3, Amswer the questions below for the following layout (all dimensions in A),
drain gate source
with the following capacitive parameters:
OE...)
(DQG).
and the following sheet resistive parameters:
Rye Ryp Rap Rose Ryp Bom
Answer the following only for the part of the layout shown above.
a. Whal is the effective channel width? 5
ay 5 ky Yar = II
(% +g t y
b. What is the channel — when the transistor is passing a low signal?
p Ret Rap Zs DEnd
1
c. What is the capacitance of the gate node?”
Cacti 2 (By (2 +22 27429) + C
BY pO
q z, ay)
LY {| bat
+ pl LA
OLN 6263 Fall 2004 Bram 2 Navember £4, 2001 5
p>
) (rarer 29x)
Fe
x
d. What is the capacitance of the source node?
CSunes = End) ( ZAK TD AD ATAXYD EL 4 Yay ase)
Re
N dye Arbar a thntasat
TaD
* fad) (San + 2A UP a Laud) yp
Ud
ne
"hs Pp =) {7axr) “Cas (24402 + RA 2?
y in ® zayr
e, What is the capacitance of the drain node?
Crane
wo ERR i519)
cs
2K
t Geese
Lon
my (sn 48>)
lod
20
BCEN 6268 Fall 2001 Exam November 14, 2001 6