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 6 Answers, 95.657 Fall 2009, Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Problem 1
Jackson 3.4 part a
The surface of a hollow conducting sphere of inner radius a is divided into an even number of equal
segments by a set of pla
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
Homework 4 Answers, 95.657 Fall 2009, Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Problem 1
A hollow cube of width a is oriented so that one corner sits at (0,0,0) and the other corner sits at (a,a,a).
All faces of the cube are held at
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
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.
Homework 7 Answers, 95.657 Fall 2009, Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Problem 1
A line charge extends from the origin to the point z = d and is charged such that its charge density
expressed in spherical coordinates becomes
Homework 8 Answers, 95.657 Fall 2009, Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Problem 1
Jackson 4.1
Calculate the multipole moments qlm of the charge distributions shown as parts a) and b). Try to obtain
results for the nonvanishin
Homework 13 Answers, 95.657 Fall 2009, Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Problem 1
If there were magnetic charges, write down what the magnetic charge continuity equation would look
like. Use the magnetic charge continuity eq
Homework 12 Answers, 95.657 Fall 2009, Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Problem 1
Jackson 5.19a
A magnetically hard material is in the shape of a right circular cylinder of length L and radius a. The
cylinder has a permanent
Homework 11 Answers, 95.657 Fall 2009, Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Problem 1
When magnetic materials are included in magnetostatics, there are three field-like vectors, B, H, and
M, each with three components. This give
Homework 9 Answers, 95.657 Fall 2009, Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Problem 1
When ponderable materials are included in electrostatics, there are three field-like entities, E, P, and D,
each with three components. This gi
Homework 10 Answers, 95.657 Fall 2009, Electromagnetic Theory I
Dr. Christopher S. Baird, UMass Lowell
Problem 1
Jackson 5.3
A right-circular solenoid of finite length L and radius a has N turns per unit length and carries a current
I. Show that the magne