ECE 333 Fields and Waves
Spring 2015
Homework #5
Due: Friday, March 13, 2015
1. (10pt) At f = 10 GHz, an electric field E z propagates though a glacier ice in the +z 15 V/m at z = 0. The phase velocity is up = 1.73 108 m/s and it is found
direction with E
Spring 2011
Fields and Waves
University of Massachusetts Amherst
ECE 333
Instructor
Office
E-mail
Time
Room
Office hour
Lectures
Discussions
Do-Hoon Kwon
Ramakrishna Janaswamy
Marcus 215A
Marcus 215D
Department of Electrical and Computer Engineering
Amher
ECE 333 Fields and Waves
Spring 2015
Homework #1
ECE 333 Fields
Waves,February
Spirng 2017
Due:and
Monday,
2, 2015
Homework # 1
Date:
Friday,
February
10in centimeters.
1. (10pt) Consider a Due
function
f shown
below.
Here, x is
Reading Assignment:
f(x
)
Rem/s E 2M2 3 : 60 av E .2 2
,1 'm D [@mi/Wn2j
V E a 2 *0 2 "9
.2 7 0 mmm va 0 :21
w 0202
E _-VVB$ VJ 22/0sz W2
C '52
@MM PDQ/2W2 [may] 2M3: /
J G /m
A -) 27% A
Gem/Ml Law DDOLS:2VD U. 2 919021)
3 v V
/WFR : Q,
(II V; (/V' 22/ W2 [22%
H \J/ J 9.va 0
WM v
IEEE TRANSACTIONS ON POWER ELECTRONICS, VOL. 24, NO. 7, JULY 2009
1819
Magnetic Resonant Coupling As a Potential
Means for Wireless Power Transfer to Multiple
Small Receivers
Benjamin L. Cannon, Student Member, IEEE, James F. Hoburg, Fellow, IEEE, Daniel
Table of Integrals
Basic Forms
Z
Integrals with Logarithms
1
xn+1
x dx =
n+1
Z
1
dx = ln x
x
Z
Z
udv = uv vdu
Z
n
Z r
(1)
(2)
p
x
dx = x(a + x) a ln x + x + a
a+x
x ax + bdx =
Z
Z p
x(ax + b)dx =
p
1
(2ax + b) ax(ax + b)
4a3/2
i
p
(27)
b2 ln a x + a(ax
University of Massachusetts
Department of Electrical &
Computer Engineering
Amherst, MA 01003
Course Instructor: R. Janaswamy
Discussion Instructor: D-H Kwon
Date of Outline Preparation: 01/20/2015
Prepared by: R. Janaswamy
ECE 333: Fields and Waves (3-1)
ECE 333
Spring 2015
3. The equivalent transmission-line circuit can be formed:
Z01
ZL = 0
Z02
Zin
d
(a) The input impedance at z = d is
Z in Z 02
z
0
Z L jZ 02 tan 2 d
,
Z 02 jZ L tan 2 d
where
Z 01 0 , Z 02
0
,
r
and 2 is the propagation constant in med
ECE 333
Spring 2015
3. Z0 = 75 , l = /4.
(a) For ZL = RL + jXL, let z L= Z L Z 0= rL + jxL . We have rL = RL/Z0 = 1. From problem 1
solution to the discussion on Feb. 19 [eq. (4)],
10rL 3rL2 3
4
=
.
xL =
3
3
Hence,
(1)
2
(2)
75 = 86.60 (),
3
where the n
Historical Corner
Giuseppe Pelosi
University of Florence
Via di Santa Marta, 3
1-50139 Florence, Italy
Tel: 055-4796-759;
Fax: 055-4796-767
E-mail: [email protected]@ieee.org
A Tribute to James Clerk Maxwell
on the 150th Anniversary of His
U NIVERSITY OF M ASSACHUSETS ,D EPARTMENT OF E LECTRICAL E NGINEERING
ECE 333 -Fields and Waves /Homework 2-Solution
February 22, 2017
1
1 PROBLEM
The wavenumber is:
=
2 300 106
= 3.7699 105 [r ad /m]
=
up
5 103
(1.1)
2
2
=
= 1.6667 105 [m]
3.7699 105
(1.
ECE 333
Spring 2017
Course Syllabus
ECE 333 Fields and Waves
University of Massachusetts-Amherst
Spring 2017
Description:
Nature of electromagnetic fields and waves; transmission lines modeled as distributed
circuits; propagation of waves and wave reflect
U NIVERSITY OF M ASSACHUSETS ,D EPARTMENT OF E LECTRICAL E NGINEERING
ECE 333 -Fields and Waves /Homework 1-Solution
February 11, 2017
1
1 PROBLEM
2
t=0
1.8
1.6
function f(z5t)
1.4
1.2
1
0.8
0.6
0.4
0.2
0
20
15
10
5
0
5
space variable z
10
15
20
Figure 1.
U NIVERSITY OF M ASSACHUSETS ,D EPARTMENT OF E LECTRICAL E NGINEERING
ECE 333 -Fields and Waves /Midterm-Solution
February 27, 2017
1
1 PROBLEM
see homework1,problem 7.
2 PROBLEM
(Z1,)
(Z2,)
ZL
Lossles Coaxial Line
ZL
Lossy Microstrip Line
z=0
Figure 2.1:
U NIVERSITY OF M ASSACHUSETS ,D EPARTMENT OF E LECTRICAL E NGINEERING
ECE 333 -Fields and Waves /Homework 3-Solution
February 21, 2017
1
1 PROBLEM
The magnitude of the reflection coefficient can be derived form the VSWR:
V SW R = 3
1 + |
= 3 | = 0.5
1 |
ECE 333 Fields and Waves, Spring 2017
Homework # 4
Due Date: Friday, March 10 (beginning of the class)
Reading Assignment:
Textbook Sections 7.1 -7.2. Topics: Maxwells equations in differential form in time domain and
frequency domain, electromagnetic wav
Janaswamy & Kwon
1
University of MassachusettsAmherst
Electrical & Computer Engineering
ECE 333
Midterm-1, 02/24/2015
(100 points)
Open Book, Open Notes
1. (25 points) The magnetic field intensity of a plane wave propagating along the zdirection in a loss
Homework 10 solution
May 1, 2015
1
(10pt) A toroidal core with a rectangular cross section has an N turns
of wire tightly wound over it. The core consists of two ferromagnetic
layers of permeabilities 1 and 2 as illustrated. Calculate the self
inductance
ECE 333 Fields and Waves
Spring 2015
Homework #4
Due: Wednesday, March 4, 2015
1. (10pt) A plane wave with E = xEx propagates in a lossless, non-magnetic, dielectric medium
(r = 4) in the +z-direction. The frequency is 100 MHz and Ex has a maximum value o
ECE 333 Fields and Waves
Spring 2015
Homework #3
Due: Monday, February 23, 2015
1. (10pt) Consider a lossless transmission line with a purely resistive characteristic impedance
Z0, terminated in an arbitrary load ZL.
(a) For a given ZL = RL + jXL, find Z0
ECE 333 Fields and Waves
Spring 2015
Homework #2
Due: Wednesday, February 11, 2015
1. (10pt) A transmission line is called distortionless if RC = LG is satisfied. It is found that a
50- distortionless transmission line has an attenuation constant of 0.02
ECE 333 Fields and Waves
Spring 2015
Homework #8
Due: Friday, April 17, 2015
1. (10pt) Consider a uniformly charged strip with surface charge density s in the yz-plane in
the range y1 y y2 as illustrated below. The configuration is uniform and infinite in
ECE 333 Fields and Waves
Spring 2015
Homework #6
Due: Friday, March 27, 2015
1. (10pt) A plane wave propagating in a glass medium with a relative permittivity r1 = 4 (r1 =
1) and negligible loss is normally incident on an interface with air at z = 0 as il
ECE 333 Fields and Waves
Spring 2015
Homework #9
Due: Friday, April 24, 2015
1. (10pt) A cuboidal resistor of dimensions a b c has a continuously inhomogeneous
resistive material. The conductivity of the material is given by
0
x
1 9x a
where 0 is a cons