Review Quiz, ECE 161A, Fall 2014
Some Guidelines for the Quiz
Please note the exam is closed book, except for a sheet of handwritten notes. Please hand in
the sheet of notes along with your answer sheets.
You are allowed to use a calculator for simple c
Review Quiz Solutions
October 6, 2016
1. (a)
y[n] = 3x[n] 2x[n 2] + x[n 3]
From the denition of the impulse response of a system, by substituting [n] for x[n],
we get,
h[n] = 3[n] 2[n 2] + [n 3]
(b) By taking the z transform of impulse response, the trans
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ECE 101 Homework 1 Solutions
Summer Session II 2016
Problem 1
Problem 2
Problem 3
Recall that the even part of a signal can be obtained with:
() =
Let be () = sin(4) ()
() + ()
2
Problem 4
Recall that the even and odd parts of a signal can be obtained wi
HW#2
Due date: Monday 8/15/2016 at the beginning of the class
Discrete Time Convolution
1. Consider a discrete time LTI system with impulse response = 4& [ 1]. Find
the output of this system when the input is = [ 1].
2. Consider the convolution of
HW#4
Due date: Wednesday 8/31/2016 at the beginning of the class
Solve the following problems from the textbook (Signals and Systems by Oppenheim and
Willsky, 2nd edition)
Problem 1.
7.6, 7.12
Problem 2.
7.27
Problem 3.
8.6
Problem 4.
8.24
Problem 5.
9.28
HW#2
Due date: Thursday 8/25/2016 at the beginning of the class
Solve the following problems from the textbook (Signals and Systems by Oppenheim and
Willsky, 2nd edition)
Problem 1.
5.21 (b,d,j,k)
Problem 2.
5.22 (d,f)
Problem 3.
5.23 (a,c,f)
Problem 4.
5
ECE 101 Linear Systems, Fall 2008
Problem Set #0 Solutions
September 25, 2008
(send comments/questions to psiegel@ucsd.edu)
1.48 Using Eulers relation, we have:
z0 = r0 ej0 = r0 cos 0 + jr0 sin 0 = x0 + jy0
Then z1 through z5 are:
q
(a) z1 = x0 jy0
(b) z2
UNIVERSITY OF CALIFORNIA, SAN DIEGO
Electrical and Computer Engineering Department
ECE 101  Summer Session II 2016
Linear Systems Fundamentals
Final Exam Key
No books, no notes, no calculators or electronic devices.
Please put all answers in your blueboo
HW # 0
DO NOT HAND IN THIS ASSIGNMENT.
Solve the following review problems:
1.48
1.49 (a through i)
1.51 (a,b)
1.52 (c,d)
1.53 (a,c,d)
1.54 (a)
1.55 (a through e)
1.56 (c,f)
ECE 35 Homework 9
Due: Thursday 23rd November 2016
November 18, 2016
This HW will cover the following topics:
1. Complex domain representation of sinusoids
2. Phasor representation
3. R,L,C impedance
4. Phasor Kirchoffs laws basics
1
Problem 1. Answer the
ECE 35 Homework 8
Due: Thursday 17th November 2016
November 10, 2016
This HW will cover the following topics:
1. Inductors and Faradays law
2. Series Parallel Inductor Reduction
3. First order response of an RL circuit
4. Timedependent RLC circuits (limi
UCSD Department of Electrical and Computer Engineering
ECE 35 Winter 2016 Final Exam
Name (Last, First)
Student ID Number
SOLUTIOIQS
Signature
This is a closed book exam, except for a 8.5" x 11 pages of notes. Calculators are OK.
You must SHOW YOUR WORK t
ECE 3.5 Midterm Exam
Fall 2016
Name (Last, First)
Student ID Number
_ SO LU Ti 0 M S
Signature
This is a closed book exam, but you are allowed one 8.5 x 11" sheet of notes.
CALCULATORS are allowed.
Cellphones must be powered off and out of sight for the e
ECE35 Win16 HW6 Solutions
Problem 1.
Apply KVL to the outside loop to get
12 + 10 8e5t
1 2
12i ( t ) + 12 v ( t ) = 0 i ( t ) =
= e5t A for t > 0
12
6 3
Problem 2.
Replacing series and parallel capacitors by equivalent capacitors, the circuit can be reduc
ECE35 Win16 HW8 Solutions
Problem 1.
Represent the circuit in the frequency domain using phasors and impedances:
KVL
j50 k
10 k
40 k
Using KCL at inverting node:
82 106 0 = 0 + I 1
Using KVL:
(10 10 ) I + ( j50 10 ) I + V = 0
V = (10 10 j50 10 ) (82 10
ECE35 Win16 Homework 4 Solutions
Problem 1.
Use source transformations and equivalent resistances to reduce the circuit starting with the 32 V voltage
source:
8/3 A
Next we transform both voltage sources to current sources and calcualte the equivalent cur
ECE35 Win16 Homework 5 Solutions
Problem 1.
The voltages at the input nodes of an ideal op amp are equal so v = 5 V .
Apply KCL at the inverting input node of the op amp:
v 5
3
a
0.110 0 = 0 va = 4 V
10000
Apply Ohms law to the 20 k resistor
i =
va
1
ECE35 Win16 HW7 Solutions
Problem 1.
A = 15 V
First find the period:
T = 43 11 = 32 ms
The angular frequency is then calculated:
=
2
2
=
= 196 rad/s
T
0.032
Finally the phase is calculated by solving A cos (t+) = V0, where V0 is the voltage value at t = 0
UCSD Department of Electrical and Computer Engineering
ECE 35 Winter 2016 Final Exam
Name (Last, First) _
Student ID Number _
Signature _
This is a closed book exam, except for a 8.5 x 11 pages of notes. Calculators are OK.
You must SHOW YOUR WORK to rece
University of California San Diego
Department of Electrical and Computer Engineering
ECE 35 Midterm Exam
Winter 2010
Name (Last, First) _
Student ID Number _
Signature _
This is a closed book exam, but you are allowed a single 8.5 x 11 sheet of notes.
NO
ECE35 Win16 HW8 Problems (Due: 03/09/2016)
Problem 1. The input to the following circuit is the current
voltage, v(t), across the 40 k resistor.
10 k
i (t ) = 82cos (10000 t ) A . Determine the
2 nF
40 k
Problem 2. The input of the circuit shown in the fi
ECE 35 Quiz 1
Name:
8
6
1
1) What are the currents i1 and i2?

8
12
2) What are the voltages v1 and v2?

4
6
6
2
3) What is the current ix?
0
1
,
8
6
4
Problem 1.
First, express the resistor currents in terms of the node voltages:
10
30
v1 12
12 V
Apply KCL at node 1 to get
Simplifying the equation we get
30
v1 12
v v
+ 0.01+ 1 2 = 0
30
40
7
1
117
v1 v 2 =
120
40
300
Apply KCL at node 2 to get
Simpl
ECE35 Win16 Homework 2 Solutions
Problem 1:
2.4
5.6
i=
= 0.2 A and v =
= 11.2 V
12
0.5
KVL
12 + R1i + v = 0 R1 =
12 v 12 11.2
=
=4
i
0.2
KCL
i + 0.5 = v / R2 R 2 =
11.2
= 16
0.2 + 0.5
Problem 2:
Using KCL and Ohms law:
va = Ra ( I 2 I1 ) , vb = Rb ( I1