Use figure 11.53 on p. 570 in your text.
1. A transmission line terminated in a normalized load impedance of 2.4+j4.4 is to be matched
using a single stub tuner. This correspondes to a normalized load admittance of 0.095-j0.175.
a. For each of the two pos
ECE 381
Fields & Waves
Spring 2011
10 Minute Quiz 4
February 16, 2011
A particular uniform plane wave propagates in free space and is expressible as the phasors
Es ( x ) = E0e j0 x a z V/m
Hs ( x ) =
E0
0
e j0 x a y A/m
.
Dont forget that E0 is potentiall
ECE 381
Fields & Waves
Spring 2011
10 Minute Quiz 3
February 9, 2011
An electric field phasor is given by
Es ( x ) = E0e j x a y ,
where = 6 m 1 and = 2 108 sec 1. =6 m-1 and =2.
What is the magnetic field phasor associated with this electric field phasor
ECE 381
Fields & Waves
Spring 2011
10 Minute Quiz 2
February 2, 2011
The pair of phasors below represents fields that exist in free space (constitutive parameters 0, and 0).
There are no sources in the region of interest.
H S ( x ) = H 0e j0 x a z A/m
and
ECE 381
Fields & Waves
Spring 2011
10 Minute Quiz 1
January 26, 2011
y
u(t)
w
R
Consider the slider-controlled loop at the right. Take
note that the velocity of the slider, defined in the +x
direction. Suppose this velocity is constanti.e., u(t)=u.
What i
ECE 381
Fields, Waves & Circuits
Fall 2010
Notes on Phasors
August 2010
The Sadiku textbook states time harmonic problems in the time domain. We wish to employ
Maxwells equations in the phasor domain. The conversion from the time domain to the
phasor doma
Time-Dependent Form
Faraday-Maxwell eq.
E ( r, t ) dl = t H ( r, t ) dS
curl E ( r,t ) =
E ( r, t ) dS =
div E ( r,t ) =
C
Gauss-Maxwell eq.
sc
S
Ampere-Maxwell eq.
v (r,t) dV = total charge enclosed in S
VS
H ( r, t ) dl = J v ( r, t ) dS +
C
Gauss
Friis Transmission Formula on Path Loss (1)
The range of a wireless link depends on
How much power the transmitter can output (or are allowed by FCC to)
Receiver sensitivity
Friis transmission formula for path loss in free space, line of sight (LOS)
PT
2
ECE 381
Fields & Waves
Spring 2011
10 Minute Quiz 5
March 2, 2011
Suppose that 1=40 and 1=20 in the figure at
the right. The vector k is oriented normally to the
surface of the material regions. The frequency is 1
GHz. Express the time average power densi
ECE 381
Fields & Waves
Spring 2011
10 Minute Quiz 6
March 9, 2011
A coaxial transmission line has a characteristic impedance of 50 and the phase velocity on the line is
one-half the speed of light. The line is lossless. What are the capacitance per unit l
ECE 381
Fields & Waves
Spring 2011
10 Minute Quiz 7
March 16, 2011
Consider the transmission line shown.
Z 0 = 7.07
1. Compute L, the reflection coefficient at the
load.
L =
L = ?
Z in = ?
=
Z L Z 0 10 7.07 2.93
=
=
= 0.172
Z L + Z 0 10 + 7.07 17.07
Z L
1.
ECE 381
Fields, Waves, and Circuits
Spring 201 1
Hour Quiz 2
April 8, 2011
Name: _5
Use the Smith Chart attached to determine the input impedance of the transmission line
circuit shown.
1 LWP
4/8/l I
Z:100+j100 The Complete Smith Chart
Blac
ECE 381
Fields & Waves
Fall 2010
10 Minute Quiz 11
April 20, 2011
The expression
U ( , ) = A sin sin 2
describes the radiation intensity of a particular antenna over the whole radiation sphere.
a. Form an expression for the time-average Poynting vector a
ECE 381
Fields & Waves
Fall 2010
10 Minute Quiz 10
April 13, 2011
A short dipole is 0.1 long. What is its radiation resistance? Does the radiation resistance convey any information
about Ohmic heating at an antenna?
Rrad = 80 2
( )
2
(
= 80 2 0.1
)
2
= .8
ECE 381 Fields & Waves
Fall 2011 - Quiz 2
17 November 2011
Name: Solutions
Quiz Rules:
You are allowed two 8-1/2 x 11 handwritten sheets with notes on both sides. Your sheets may
include formulae, definitions, theorems, etc. but no examples or worked prob
ECE 381 Fields & Waves
Fall 2011 - Quiz 1
20 October 2011
Name: _
Quiz Rules:
You are allowed one 8-1/2 x 11 handwritten sheet with notes on both sides. Your sheet may
include formulae, definitions, theorems, etc. but no examples or worked problems.
You m
ECE 381 Fields & Waves
Fall 2001
Homework Solutions for Quiz 3
Note: Some of the solutions given in the book are known to be wrong I have not personally verified
any of these solutions. You should always attempt to work the problems yourself. If your solu