Unive Mech ersity of C College anical Eng California of Engine

Univeersity of California
C
at Berkeley
College of Engineering
Mechanical Eng
gineering Departmeent
ME1
118, Spring 2015
2
L
Liwei Lin
Prob
blem Set #11
Due Feb
b. 5 (Thursd
day)
Probllem 1 (Moore’s Law)
On Ap
pril 13, 2005,, Gordon Moo
ore himself sttated in an intterview that M
Moore’s law ccannot be
sustaiined indefiniteely. Using Moore’s
M
law an
nd available eempirical dataa you can findd as recent ass
possib
ble, calculate the year in which
w
the size of a transistoor will be the size of a singgle atom. Do
you expect this to occur
o
in yourr lifetime? (Y
You are encouuraged to readd more on thiss issue such aas
ore’s Law” in Wikipedia. Please
P
specify
y the foundatiions/assumpttions of your ccalculations)
“Moo
Probllem 2 (Sensittivity)
We diiscussed abou
ut the “hot-wiire” sensor in class withoutt going into ddetail analyses. Let’s
assum
me that using micro-machin
m
ning processees, we can maake a “hot-wirre” sensor of 1μm in
diameeter and 5μm in length. While
W
if we usee nano-machiining process,, one can makke a “hotwire” sensor of 1nm
m in diameterr and 5μm in length. If thee materials prroperties in booth cases are
the saame, you are asked
a
to calcu
ulate the ratio
o of sensitivityy for the two cases – please make all
necessary other asssumptions.
Probllem 3 (DNA))
We mentioned
m
DN
NA briefly in the
t class and this is a follo w-up questioon. A host on a radio
program stated thaat one gram off DNA has the ability to sttore as much iinformation aas 1 trillion
CDs. Is this true? (Please specify the foundaations/assumpptions of youur calculationss)
Probllem 4 (MOSF
FET)
The diagram
d
show
ws a standard MOSFET.
M
(1) Draw the crross-sectionall view diagram
m in the areas
underr the two dash
h lines. (2) Asssuming that that
t the drawiing in scale annd the minim
mum feature
size iss 45nm for th
he gate length. Calculate how many MO
OSFET can bee placed in ann area of 1”x11”