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Lesson 1 - Vectors and Fields
Wednesday, January 11, 2017
6:41 AM
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EE 3401
Due 0800 March 31th in Hao Yangs box.
HW8
Problem 1 (20 pts)
A uniform plane wave of frequency 5 105 Hz propagating in a material medium has the following
characteristics. (i) The fields are attenuated by the factor 1 in a distance of 28.65 m. (ii
HW 10
Problem 1.
Assume that the region between the coaxial cylindrical conductors of Fig. 6.3(a) is filled with a dielectric
of nonuniform permittivity = 0 /. Obtain the solution for the potential between the conductors and
the expression for the capacit
EE 3401
Due 0800 February 3rd in Hao Yangs box.
Problem 1 (20 pts)
P1.37, Rao, 6th Ed.; (P2.9, Rao, 5th Ed)
Electric field of line charge of non-uniform density.
Problem 2 (20 pts)
P1.44, Rao, 6th Ed.; (P2.16, Rao, 5th Ed)
Magnetic field due to a finitely
HW 9
Problem 1.
A point charge of 5 nC is located at (-3, 4, 0), while line y=1, z=1 carries uniform charge 2nC/m.
(a) If V = 0 V at O(0, 0, 0), find V at A(5, 0, 1).
(b) If V = 100V at B(1, 2, 1), find V at C(-2, 5, 3).
(c) If V = -5V at O, find VBC.
Pro
EE 3401
Due 0800 February 17th in Hao Yangs box.
HW4
Problem 1 (25 pts)
A particle with charge Q is located immediately above the center of the flat face of a hemisphere of
radius R as shown in Figure below. What is the electric flux (a) through the curve
EE 3401
Due 0800 March 24th in Hao Yangs box.
HW7
Problem 1 (20 pts)
A thick spherical shell (inner radius a, outer radius b) is made of dielectric material with a frozen-in
polarization
() =
Where k is a constant and r is the distance from the center. (T
EE 3401
Due 0800 February 28th in Hao Yangs box.
HW5
Problem 1 (20 pts)
Find the divergences and curls of the following vector fields:
(a) + +
(b) cos sin
Problem 2 (20 pts)
For the electric field = 0 cos(2 108 ) in free space ( = ), find the value(s) o
HW 11
Problem 1.
A parallel-plate transmission line is made up of perfect conductors of width w=0.1 m and lying in the
planes x=0 and x=0.01 m. The medium between the conductors is a nonmagnetic ( = 0 ), perfect
dielectric. For a uniform plane wave propag
EE 3401
Due 0800 January 27th in Hao Yangs box.
Problem 1 (25 pts)
P1.4, Rao, 6th Ed.
Using vector algebraic operations.
Problem 2 (25 pts)
P1.10, Rao, 6th Ed.
Plane containing two vectors originating from a common point.
Problem 3 (25 pts)
P1.13, Rao, 6t
Supplementary Notes for ELEN 4810 Lecture 15
FIR Filter Design
John Wright
Columbia University
November 30, 2016
Disclaimer: These notes are intended to be an accessible introduction to the subject, with no pretense at completeness. In general, you can fi
Supplementary Notes for ELEN 4810 Lecture 13
Analysis of Discrete-Time LTI Systems
John Wright
Columbia University
November 21, 2016
Disclaimer: These notes are intended to be an accessible introduction to the subject, with no pretense at completeness. In
Supplementary Notes for ELEN 4810 Lecture 14
Linear and Generalized Linear Phase
John Wright
Columbia University
November 28, 2016
Disclaimer: These notes are intended to be an accessible introduction to the subject, with no pretense at completeness. In g
Supplementary Notes for ELEN 4810 Lecture 12
More Z-transform
John Wright
Columbia University
November 9, 2016
Disclaimer: These notes are intended to be an accessible introduction to the subject, with no pretense at completeness. In general, you can find
Supplementary Notes for ELEN 4810 Lecture 9
The Fast Fourier Transform
John Wright
Columbia University
October 12, 2016
Disclaimer: These notes are intended to be an accessible introduction to the subject, with no pretense at completeness. In general, you
Supplementary Notes for ELEN 4810 Lecture 8
The Discrete Fourier Transform
John Wright
Columbia University
October 10, 2016
Disclaimer: These notes are intended to be an accessible introduction to the subject, with no pretense at
completeness. In general,
Supplementary Notes for ELEN 4810 Lecture 10
Windowing and the Short-Time Fourier Transform
John Wright
Columbia University
October 14, 2016
Disclaimer: These notes are intended to be an accessible introduction to the subject, with no pretense at complete
Supplementary Notes for ELEN 4810 Lecture 6
The Discrete Time Fourier Transform
John Wright
Columbia University
September 26, 2016
Disclaimer: These notes are intended to be an accessible introduction to the subject, with no pretense at completeness. In g
Supplementary Notes for ELEN 4810 Lecture 3
Introduction to Linear Time Invariant Systems
John Wright
Columbia University
September 14, 2016
Disclaimer: These notes are intended to be an accessible introduction to the subject, with no pretense at complete
Supplementary Notes for ELEN 4810 Lecture 4
More Linear Time Invariant Systems
John Wright
Columbia University
September 19, 2016
Disclaimer: These notes are intended to be an accessible introduction to the subject, with no pretense at completeness. In ge
Supplementary Notes for ELEN 4810 Lecture 2
Basic Signals and Operations
John Wright
Columbia University
September 12, 2016
Disclaimer: These notes are intended to be an accessible introduction to the subject, with no pretense at completeness. In general,
Supplementary Notes for ELEN 4810 Lecture 1
DT Signals + A Brief Review of Complex Arithmetic
John Wright
Columbia University
September 7, 2016
Disclaimer: These notes are intended to be an accessible introduction to the subject, with no pretense at compl
Supplementary Notes for ELEN 4810 Lecture 5
Review of Fourier Representations
John Wright
Columbia University
September 21, 2016
Disclaimer: These notes are intended to be an accessible introduction to the subject, with no pretense at completeness. In gen
ELEN4810 Digital Signal Processing
The goal of this course is to equip students with basic tools for processing signals on a computer.
We will introduce the basic mathematical ideas necessary to design and analyze discrete time systems, and interface them
ELEN 4810 Homework 2
Due Monday, October 3. Please submit your code for the computational section online via
Courseworks. You can submit your answers to the analytical question, as well as the output of your
code via one of three means:
- Hardcopy submiss
10 Vacuum Science and Plasmas
10.1) Since the pressure is ‘ ‘ ‘
still well \’lll1ln ’
. I, . ‘ the V18‘ ~ -
10.10 are still \alld. According to Equation [0 l lions “0W w
of pressure In this regime. The red . .
uction in temper
toward lower velocrties. Acc