Homework 12 Answers, 95.657 Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Jackson 5.19 A magnetically "hard" material is in the shape of a right circular cylinder of length L and radius a. The cylinder has a permanent magnetization M0, u
Homework 11 Answers, 95.657 Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Jackson 5.18 A circular loop of wire having a radius a and carrying a current I is located in vacuum with its center a distance d away from a semi-infinite slab of
Homework 10 Answers, 95.657 Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Jackson 5.13 A sphere of radius a carries a uniform surface-charge distribution . The sphere is rotated about a diameter with constant angular velocity . Find the
Homework 9 Answers, 95.657 Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Jackson 4.10 Two concentric conducting spheres of inner and outer radii a and b, respectively, carry charges Q. The empty space between the spheres is half-filled b
Homework 8 Answers, 95.657 Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Supplemental Problem C For the two cases shown below, (a) calculate all the monopole, dipole and quadrupole moments and write down the potential far away in terms o
Homework 7 Answers, 95.657 Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Jackson 3.14 A line charge of length 2d with a total charge Q has a linear charge density varying as (d2 z2), where z is the distance from the midpoint. A grounded,
Homework 6 Answers, 95.657 Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Jackson 3.4 The surface of a hollow conducting sphere of inner radius a is divided into an even number of equal segments by a set of planes; their common line of in
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
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
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
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
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
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
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
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
Lecture 14 Notes, 95.657 Electromagnetic Theory I, Fall 2011
Dr. Christopher S. Baird, UMass Lowell
1. The Maxwell Equations - In the previous lecture, we showed that in order for Ampere's law to hold even for non-static fields and for the continuity equa
Lecture 13 Notes, 95.657 Electromagnetic Theory I, Fall 2011
Dr. Christopher S. Baird, UMass Lowell
1. Static Equations and Faraday's Law - The two fundamental equations of electrostatics are shown below. E= total 0 Coulomb's Law in Differential Form
- Th
Lecture 12 Notes, 95.657 Electromagnetic Theory I, Fall 2011
Dr. Christopher S. Baird, UMass Lowell
1. Review of Magnetostatics in Magnetic Materials - Currents give rise to curling magnetic fields:
B= 0 J total or H=J or M=J M where J total=JJ M
- There
Lecture 11 Notes, 95.657 Electromagnetic Theory I, Fall 2010
Dr. Christopher S. Baird, UMass Lowell
1. Magnetic Fields of a Localized Current Distribution - Similar to the electrostatic multipole expansion, if we have a localized current distribution and
Lecture 10 Notes, 95.657 Electromagnetic Theory I, Fall 2011
Dr. Christopher S. Baird, UMass Lowell
1. Magnetostatics Introduction - All of the proceeding concepts have been applied to electrostatics: when static electric charges create static electric fi
Lecture 9 Notes, 95.657 Electromagnetic Theory I, Fall 2011
Dr. Christopher S. Baird, UMass Lowell
1. Electrostatic Equations with Ponderable Materials - We desire to find the electric fields of any system which includes non-conducting material. (Air is t
Lecture 8 Notes, 95.657 Electromagnetic Theory I, Fall 2011
Dr. Christopher S. Baird, UMass Lowell
1. Multipole Expansion of the Potential - Consider a localized charge density completely contained within some region R. - Very far away from the region R,
Lecture 7 Notes, 95.657 Electromagnetic Theory I, Fall 2011
Dr. Christopher S. Baird, UMass Lowell
1. Expansion of Green Functions in Spherical Coordinates - Consider the problem of a spherical boundary with radius a, the potential is known on the boundar
Lecture 6 Notes, 95.657 Electromagnetic Theory I, Fall 2011
Dr. Christopher S. Baird, UMass Lowell
1. Associated Legendre Polynomials - We now return to solving the Laplace equation in spherical coordinates when there is no azimuthal symmetry by solving t
Lecture 5 Notes, 95.657 Electromagnetic Theory I, Fall 2011
Dr. Christopher S. Baird, UMass 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 pola
Lecture 4 Notes, 95.657 Electromagnetic Theory I, Fall 2011
Dr. Christopher S. Baird, UMass 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 orthogonal
Lecture 3 Notes, 95.657 Electromagnetic Theory I, Fall 2011
Dr. Christopher S. Baird, UMass 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 them.
Lecture 2 Notes, 95.657 Electromagnetic Theory I, Fall 2011
Dr. Christopher S. Baird, UMass Lowell
1. Surface Charge Density on an Arbitrary Surface - Take Gauss's Law in Integral Form
n'
En da= x d 3 x
0
1
E2
- Where n is the vector normal to the boundi
Lecture 1 Notes, 95.657 Electromagnetic Theory I, Fall 2011
Dr. Christopher S. Baird, UMass Lowell
1. Term Overview - [Hand out to each student a printed copy of the "Course Policy", "Calendar" and read them] - [Hand out to each student a printed copy of