EECE 402 Sensors and Actuators in Microsystems
Midterm 2
November 14, 2014
noon - 12:50 pm
NAB/IBM
Student ID: This quiz has 4 questions.
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0 the provides formula sheet
ELEC 462 Sensors and Actuators in Microsystems
Midterm 1
October 7, 2016
12:00pm 12:50pm
NAME; Salt/150M
Student ID: This midterm has 4 questions and 7 pages.
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I the pr
EECE 402 - Sensors and Actuators in Microsystems
Midterm 1
October 14, 2015
12:00pm 12:50pm
NAME: Sol (xvHow
Student ID: This midterm has 4 questions and 7 pages.
Write your answers in this examination booklet. Show your work.
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th
ELEC 462 Sensors and Actuators in Microsystems
Midterm 2
November 18, 2015
noon 12:50 pm
NAMEMH
Student ID:
Question
_
2 This midterm has 4 questions.
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O the provides f
EECE 402
Fall 2016
Assignment #2: Microfabrication
Due: September 28, 2016 in class
(4p) Problem 1: Surface Micromachining: Cantilever
Consider the fabrication of the cantilever
structure discussed in lecture and shown
in Fig. 1.
The 0.6 m thick sacrifici
University of British Columbia
Faculty of Applied Sciences
Department of Electrical and Computer Engineering
Version: September 6, 2016
Course number: ELEC 462
Course title: Sensors and Actuators in Microsystems
Prerequisites: none
Co requisites: none
Con
EECE 402
Fall 2016
Assignment #2: Microfabrication
Due: September 28, 2016 in class
Problem 1: Surface Micromachining: Cantilever
Consider the fabrication of the cantilever
structure discussed in lecture and shown
in Fig. 1.
The 0.6 m thick sacrificial la
EECE 402
Fall 2016
Assignment #3- Silicon bulk micromachining
Due: October 05, 2016
Problem 1: Miller Indices
What is the Miller index of the plane shown below? The plane is parallel to the z-axis
with x-intercept 2 and y-intercept 3.
3
2
1
2
Problem 2: A
EECE 402
Fall 2016
Assignment #4: Piezoresistivity
Solutions
Problem: Mechanical concepts
a) The beams of the double-beam flexure
shown on the right have a length L. Calculate
the spring constant of the entire structure for
lateral forces. For beams with
EECE 357: Homework 1 Solutions
Problem 1
For n = 2, we have
P (A1 A2 ) = P (A1 ) + P (A2 ) P (A1 A2 ) P (A1 ) + P (A2 )
By induction, this will also be true for the case where n = k. Therefore, we now check the
case where n = k + 1:
!
!
"k
#
!
k+1
k
[
[
[
EECE 357
HOMEWORK 2 SOLUTION
Problem 1: Suppose that number of traffic accidents in a city follows a
Poisson distribution with rate = 5 per day.
(a) What is the expected number of accidents in a given week? The variance?
X = # accidents per week Poisson(3
EECE 357 Tutorial 2 Solutions
Problems 1 4
Problem 1
A occurs with a rate of 0 = 3 per hour.
a) Let X = # times A occurs in 2 hours. Then, X P oisson() where = 20 = 6.
x e
Recall that the pmf for a Poisson random variable is P (X = x) = x!
.
P (X = 5) =
6
EECE 357 HOMEWORK 2 PROBLEMS 8 11 SOLUTION
Problem 8: Suppose that the random vector (X, Y ) has joint density
f (x, y) . Suppose that the value x taken by X is known before the corresponding
value y taken by Y becomes available. The dependence between X
EECE/STAT 357
HOMEWORK 1
Problem 1: Prove Booles inequality:
P
n
X
([ni=1 Ai )
P (Ai )
i=1
Problem 2:
(a) Show that for any given events A1 ; A2 ; :; An ; we have
P (\ni=1 Ai ) = P (A1 ) P (A2 jA1 ) P (A3 jA1 \ A2 )
P (An jA1 \ A2
\ An
1)
(b) Total Probab
EECE 357
HOMEWORK 2
Problem 1: Suppose that number of tra c accidents in a city follows a
Poisson distribution with rate = 5 per day.
(a) What is the expected number of accidents in a given week? The variance?
(b) What is the probability of more than 40 a
EECE 357 Tutorial 1 Solutions
Problem 1
Given: P (A) = P (B) = 1/3, P (A B) = 1/10
a) P (B c ) = 1 P (B)
b) P (A B c ) = P (A) + P (B c ) P (A B c ) = P (A) + 1 P (B) P (A B c ).
Recall that P (A) = P (A B) + P (A B c ); therefore, P (A B c ) = 1/3 1/10.
Tutorial 2 - EECE/STAT 357
Problem 2.1: A certain event, A; occurs at a rate = 3 per hour. (a)
What is the probability of 5 occurrences of A in the next two hours? (b) What
is the probability of waiting more than 30 minutes for the next occurrence of
A?(c