ECE 311 Homework 3
Problem 1. Consider a lossless transmission line of length l with characteristic impedance Zo terminated in an open
circuit (ZL ).
Sketch by hand the magnitude and phase of () = () () for 3/2 0. Use + = 1 and
() < . For the magnitude p
ECE 311 - Spring Quarter 2010
Exam #1
April 21st, 2010
Write your name below and on each sheet of the exam if you tear out pages. Sign the honor pledge
No aid given, received, or observed if it applies.
There are 3 problems on this exam. Exam is open book
ECE 311 Midterm 1 - Open the exam only when instructed. - When instructed to open exam, make sure you have all 5 pages. - Closed book except for one page of notes (front and back). - Show all work for full credit. - Draw a box around your final answer.
St
PROBLEM SET 6
ECE 311 Autumn Quarter 2008
Assigned:
Due:
November 5th
November 12th in class
Instructor: Joel Johnson
Problem 1
Point P is located at coordinates (R=2, = 30 , = 210 ) in a spherical coordinate system.
Point Q is located at (r=2, = 45 , z=-
PROBLEM SET 5
ECE 311 Autumn Quarter 2008
Assigned:
Due:
October 29th
November 5th in class
Instructor: Joel Johnson
Problem 1
For the circuit shown below,
(a) Sketch and dimension v ( z, t ) at t = 2 nsecs.
(b) Sketch and dimension i ( z, t ) at t = 4 ns
PROBLEM SET 3
ECE 311 Autumn Quarter 2008
Assigned:
Due:
October 10th
October 17th in class
Instructor: Joel Johnson
Problem 1
A circuit board inside of a GPS receiver is being designed to operate at 1.5 GHz. The circuit
layout calls for a 5 pF capacitor
PROBLEM SET 1
ECE 311 Autumn Quarter 2008
Assigned:
Due:
September 24th
October 3rd in class
Instructor: Joel Johnson
Problem 1
If appreciable means larger than 10%, find the highest frequency for which the following
devices can be treated using standard
PROBLEM SET 7 ECE 311 Autumn Quarter 2008 Assigned: Due: November 17th November 24th in class Instructor: Joel Johnson
Problem 1 For each of the following charge distributions, state whether Gauss law could be used to determine the electric field produced
PROBLEM SET 2
ECE 311 Autumn Quarter 2008
Assigned:
Due:
October 3rd
October 10th in class
Instructor: Joel Johnson
Problem 1
A circuit board is being designed to include traces for carrying USB 2.0 signals. USB cables
have a 45 Ohm characteristic impedan
PROBLEM SET 8
ECE 311 Autumn Quarter 2008
Assigned:
Due:
November 24th
December 5th in class
Instructor: Joel Johnson
Problem 1
Perfectly conducting material fills the space between the planes y = 3 m and y = 0 m in a
Cartesian coordinate system.
(a) Writ
PROBLEM SET 4
ECE 311 Autumn Quarter 2008
Assigned:
Due:
October 22nd
October 29th in class
Instructor: Joel Johnson
Use the Smith charts on pages 3-5 if you desire. Please turn in the charts with your solution.
Problem 1
Measurements are made at 5 GHz of
Gauss' Law
The first fundamental law of electrostatics in integral form is Gauss' Law:
EE 311 - Lecture 20
1. Gauss' law 2. Divergence 3. Using Gauss' law to calculate fields 4. Examples
E dS =
S V
dV
V Qtot = 0 0
(1)
This equation tells us that the "el
Problem 1 (3 parts, 35 points)
A capacitor is created from two perfectly conducting cylinders of length 2 m (cross section
shown below.) The inner cylinder has radius 1 meter while the outer cylinder has radius 4 meters.
The region between the spheres for
ECE 311 - Spring Quarter 2008
Exam #1
April 16th, 2008
Write your name below and on each sheet of the exam if you tear out pages. Sign the honor pledge
No aid given, received, or observed if it applies.
There are 3 problems on this exam. Exam is open book
ECE 311 - Fall Quarter 2006
Exam #2
November 13, 2006
Write your name below and sign the honor pledge No aid given, received, or observed if it
applies.
There are 3 problems on this exam. Exam is open book and notes.
Please box or underline your nal answe
ECE 311 - Fall Quarter 2006
Exam #1
October 18th, 2006
Write your name below and on each sheet of the exam if you tear out pages. Sign the honor pledge
No aid given, received, or observed if it applies.
There are 3 problems on this exam. Exam is open book
ECE 311 Fall 2006 Exam1 Solutions: Mean 75.55, Std 11.94
Problem 1 (5 parts, 4 points each): circle the best answer
(1) Two coaxial lines are made. Line one has inner radius 1 cm, outer radius 2 cm, while line two
has inner radius 10 cm, outer radius 20 c
Exam avg: 78.1, Std dev 13.8 Problem 1 (5 parts, 40 points)
A 2 V DC voltage source with a 75 ohm source resistance is connected at time zero to a short
circuited load through a 15 cm long 50 Ohm transmission line (as shown). The lossless transmission lin
Why study EM? EE 311 - Lecture 1
Administrative Introductions Why study EM? Overview of course Assigned reading: Secs 1.1-1.2 of Ulaby for basic overview material, incl SI system All electrical engineering is based on the use of electricity and/or magnet
Calculus and Coordinate systems EE 311 - Lecture 17
1. Calculus and coordinate systems 2. Cartesian system 3. Cylindrical system 4. Spherical system In electromagnetics, we will often need to perform integrals along lines, over surfaces, or throughout vol
Quarter wave transformer
The quarter wave transformer is a useful matching network for matching a purely real ZL to a purely real ZS or a complex ZL to a purely real ZS
EE 311 - Lecture 13
The topology when both ZS = RS and ZL = RL are purely real is sh
PROBLEM SET 4
ECE 311 Spring Quarter 2010
Assigned:
Due:
April 23rd
April 30th in class
Instructor: Joel Johnson
Use the Smith charts on pages 3-5 if you desire. Please turn in the charts with your solution.
Problem 1
Measurements are made at 6 GHz of the
PROBLEM SET 8
ECE 311 Spring Quarter 2010
Assigned:
Due:
May 28th
June 4th in class
Instructor: Joel Johnson
Problem 1
Perfectly conducting material fills the space between the planes z = 0 m and z = 2 m in a
Cartesian coordinate system.
(a) Write two Car
ECE311 Spring 2010: Problem Set 3 Solutions
Problem 1: Shorted lossless line f = 1.6 GHz, 8 pF capacitor desired,
Z0 = 75
(a) Impedance of the desired 8 pF capacitor is
1
1
=
= j12.43
jC
j(2)(1.6 109 )(8 1012 )
The input impedance of a shorted lossless
ECE311 Spring 2010: Problem Set 2 Solutions
Problem 1: Parallel plate line Z0 = 45, d = 1 mm,
r
= 4.3
(a) Assuming c = and the circuit board lossless,
d
Z0 =
w
103
= w =
45
4 107
= 4.04 mm
(4.3)(8.854 1012 )
(b) the wavelength of 500 MHz signals
1
c
= =
ECE311 Spring 2010: Problem Set 1 Solutions
Problem 1: Dening an appreciable fraction as 10%, the circuit theory will
fail when D > 10 , where L is the largest dimension, therefore
fmax =
c
10D
(a) D = 120 109 m, fmax = 250 THz
(b) D = 25 102 m, fmax = 12
ECE 3561
Homework 3 Assignment
Spring 2015
Due Date: February 13, 2015
For the questions below, please use the timing data available on Carmen.
1. Analyze the clocked synchronous state machine in Figure 1. Write excitation equations, draw the
state table