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EECSIOS 1of8 Fall 2000
| Microelectronic Devices and Circuits- EECS105
| First Midterm Exam |
Wednesday, October 11, 2000
Costas J. Spanos
University of California at Berkeley
College of Engineering
Department of Electrical Engineering and Computer Sciences
Your Name: tie Soburions
ast) (frst)
€. 4. SPAMS .
Your Signature
1. Print and sign your name on this page before you start,
2. You are allowed a single, handwritten sheet with formulas, No books or notes!
3, Do everything on this exam, and make your methods as clear as possible
Problem I £35
Problem 2 /35
Problem3_/ 15
Problem 4 mer) —
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EECSIOS 2 0f8 Fall 2000
Problem 1 of 4 (35 points)
‘Answer each question briefly and clearly, Assume room temperature and thermal equilibriura unless
otherwise noted.
Whit types and concentrations of charges exist in intrinsic silicon? (6pts)
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List che type (hotes, electrons, ions), sign (4/-} and concentrations of all charges in silicun doped with
10'om? As and 10 om? Boron. Be sure ta mention whether each charge is mobile or not. (8pts)
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iol? purttbue As lous ftom? oad 10 negara B fous Jem?
‘What ave the four types of currents you can fiud across a p-n junction in thermal equilibrium? (6pts)
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a
RECSIO5 30f8 Fall 2009
Ting the comtact-to-vontast resistance of the following structure (drawn to scale), it the I&s is 10
Olmsisquare, Assume that “dogbone” contact areas amount to 6.65 squares. (Spts)
oa oss
we hoe x trol of 93D x 10%/g - $30.8
You are given doped silicon that at thermal equilibrium has an electron concentration 10'fem*
What is the built-in potential with reference to intrinsic silicon? What would be the concentration
of electrons at some point within this Initice, iF you raised the potential at thal point by 120mV?
(pts)
, 2 6x 6Omy 2 360m
na toned the poteatlal to 3600 4 nV 5 Aiba
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to soristy the 62nV rule
EECSIOS 40f8 Falf 2008
Problem 2 of 4 (35 points)
Consider the following structure that consists of n-type silicon (10'4’em?), 0.1j8m of SiO and p-
type silicon (10!/em>}, (dint: This is nothing more than a MOS capacitor whuse gate is made out
of weakly doped silicon, This means that the gate will also deplete and‘or invert under proper
conditions. The symmetric concentrations in the channel and the gate should mate this problent
aqsy to solve...)
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(gate) Xda ulk)
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er
a, Caleulate the depth of the depletion regions when Vgg ~ 0. (10pts)
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shop across the Ww drop aero HEP agp wezoss Cox -
depletion deplerion
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tad Cop 2% 2 3.4587 Fame
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