Lecture 4 Notes, Electromagnetic Theory I
Dr. Christopher S. Baird
University of Massachusetts Lowell
1. Orthogonal Functions and Expansions
- In the interval (a, b) of the variable x, a set of real or complex functions Un(x) where
n = 1, 2, . are orthogo
Homework 1 Answers, 95.657 Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Jackson 1.1 Use Gauss's theorem
S En da= q
0
and
Ed l=0
to prove the following:
a) Any excess charge placed on a conductor must lie entirely on its surface. (A con
Homework 5 Answers, 95.657 Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Jackson 3.1 Two concentric spheres have radii a, b (b > a) and each is divided into two hemispheres by the same horizontal plane. The upper hemisphere of the inner
Mid-Term Exam: Graduate Electromagnetics I, 95.657
Fall 2008, UMass Lowell, Dr. Baird
This in-class examination lasts 80 minutes. No calculators, electronic devices, books or notes allowed. The later problems become increasingly harder and are correspondi
Homework 2 Answers, 95.657 Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Jackson 1.5 The time-averaged potential of a neutral hydrogen atom is given by = q e- r 1 1 r 4 0 r 2
where q is the magnitude of the electronic charge, and -1=a 0
Final Exam: Graduate Electromagnetics I, 95.657
Fall 2009, UMass Lowell, Dr. Baird
Part I: Multiple Choice (30 Points)
Circle only one answer to each question. In this section, you should be able to determine which answer
is correct using only physical ar
Homework 3 Answers, 95.657 Fall 2009, Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Problem 1
Jackson 2.2
Using the method of images, discuss the problem of a point charge q inside a hollow, grounded,
conducting sphere of inner radius a.
Lecture 2 Notes, Electromagnetic Theory I
Dr. Christopher S. Baird
University of Massachusetts Lowell
1. Surface Charge Density on an Arbitrary Surface/Normal Boundary Conditions
- Take Gauss's Law in Integral Form
n'
1
En da = x d 3 x
0
- Where n is the
Homework 1 Answers, 95.657 Fall 2009, Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Problem 1
Jackson 1.1
Use Gauss's theorem
S En da = q
0
and
Ed l=0
to prove the following:
a) Any excess charge placed on a conductor must lie entirely
Homework 3 Answers, 95.657 Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Jackson 2.3 A straight-line charge with constant linear charge is located perpendicular to the x-y plane in the first quadrant at (x0, y0). The intersecting planes
Final Exam: Graduate Electromagnetics I, 95.657
Fall 2008, UMass Lowell, Dr. Baird
Part I: Multiple Choice (60 Points) Circle only one answer to each question. In this section, you should be able to determine which answer is correct using only physical ar
Homework 4 Answers, 95.657 Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Jackson 2.13 (a) Two halves of a long hollow conducting cylinder of inner radius b are separated by small lengthwise gaps on each side, and are kept at different po
Lecture 1 Notes, Electromagnetic Theory I
Dr. Christopher S. Baird
University of Massachusetts Lowell
1. Overview of Electrodynamic Theories
SMALL SIZES (atomic)
BIG SIZES
LOW SPEED
HIGH SPEED (close to speed of light)
Classical Electrodynamics
Relativist
Lecture 3 Notes, Electromagnetic Theory I
Dr. Christopher S. Baird
University of Massachusetts Lowell
1. Method of Images
- Use the method of images when one or more point charges are in the presence of boundary
surfaces with constant potentials across th
Lecture 2 Notes, Electromagnetic Theory I
Dr. Christopher S. Baird
University of Massachusetts Lowell
1. Surface Charge Density on an Arbitrary Surface/Normal Boundary Conditions
- Take Gauss's Law in Integral Form
n'
1
En da = x d 3 x
0
- Where n is the
Lecture 6 Notes, Electromagnetic Theory I
Dr. Christopher S. Baird
University of Massachusetts Lowell
1. Associated Legendre Polynomials
- We now return to solving the Laplace equation in spherical coordinates when there is no
azimuthal symmetry by solvin
Lecture 4 Notes, Electromagnetic Theory I
Dr. Christopher S. Baird
University of Massachusetts Lowell
1. Orthogonal Functions and Expansions
- In the interval (a, b) of the variable x, a set of real or complex functions Un(x) where
n = 1, 2, . are orthogo
Lecture 5 Notes, Electromagnetic Theory I
Dr. Christopher S. Baird
University of Massachusetts Lowell
1. The Laplace Equation in Spherical Coordinates
- In this coordinate system, r is the radial distance from the origin to the observation point, is
the p
Final Exam: Graduate Electromagnetics I, 95.657
Fall 2008, UMass Lowell, Dr. Baird
Part I: Multiple Choice (60 Points) Circle only one answer to each question. In this section, you should be able to determine which answer is correct using only physical ar
Mid-Term Exam: Graduate Electromagnetics I, 95.657
Fall 2008, UMass Lowell, Dr. Baird
This in-class examination lasts 80 minutes. No calculators, electronic devices, books or notes allowed. The later problems become increasingly harder and are correspondi
Homework 2 Answers, 95.657 Fall 2009, Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Problem 1
Jackson 1.5
The time-averaged potential of a neutral hydrogen atom is given by
=
q e r
r
1
4 0 r
2
where q is the magnitude of the electronic c
Final Exam: Graduate Electromagnetics I, 95.657
Fall 2009, UMass Lowell, Dr. Baird
Part I: Multiple Choice (30 Points)
Circle only one answer to each question. In this section, you should be able to determine which answer
is correct using only physical ar
Homework 5 Answers, 95.657 Fall 2009, Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Problem 1
Two concentric spheres of radii a and b are centered at the origin. The inner sphere (radius a) is held at
zero potential and the outer sphere
Final Exam: Graduate Electromagnetics I, 95.657
Fall 2009, UMass Lowell, Dr. Baird
Part I: Multiple Choice (30 Points)
Circle only one answer to each question. In this section, you should be able to determine which answer
is correct using only physical ar
Lecture 4 Notes, Electromagnetic Theory I
Dr. Christopher S. Baird
University of Massachusetts Lowell
1. Orthogonal Functions and Expansions
- In the interval (a, b) of the variable x, a set of real or complex functions Un(x) where
n = 1, 2, . are orthogo
Lecture 3 Notes, Electromagnetic Theory I
Dr. Christopher S. Baird
University of Massachusetts Lowell
1. Method of Images
- Use the method of images when one or more point charges are in the presence of boundary
surfaces with constant potentials across th
Lecture 4 Notes, Electromagnetic Theory I
Dr. Christopher S. Baird
University of Massachusetts Lowell
1. Orthogonal Functions and Expansions
- In the interval (a, b) of the variable x, a set of real or complex functions Un(x) where
n = 1, 2, . are orthogo
Lecture 3 Notes, Electromagnetic Theory I
Dr. Christopher S. Baird
University of Massachusetts Lowell
1. Method of Images
- Use the method of images when one or more point charges are in the presence of boundary
surfaces with constant potentials across th
Mid-Term Exam: Graduate Electromagnetics I, 95.657
Fall 2010, UMass Lowell, Dr. Baird
This in-class examination lasts 60 minutes. No talking, calculators, electronic devices, books or notes
allowed except for one page of notes which is one side of a 8 x 1
Mid-Term Exam: Graduate Electromagnetics I, 95.657
Fall 2010, UMass Lowell, Dr. Baird
This in-class examination lasts 60 minutes. No talking, calculators, electronic devices, books or notes
allowed except for one page of notes which is one side of a 8 x 1