Problem 1.1
Prove that the dot product and the cross product are distrubitive for three vectors in a
plane.
A
B
phi
Gamma
theta
C
Dot Product
sigma
Delta
D
Cross Product *Note since A, B, C & D are coplanar
is the same*

1. Assignment for Group # 4
Consider a sphere of uniformly charged material. Calculate the magnitude of the
electric field inside and outside the sphere using Gauss Law.
2. Assignment for Group # 5
For the vector field
=
Calculate the di

W3007: Problem Set 4: Assigned 10/5/16 due 10/12/16
Solutions to Laplaces equation
Problem 3.37
Laplaces equation, Cartesian coordinates
Problem 3.14, 3.15
Laplaces equation, Cylindrical coordinates
Problem 3.26
Laplaces equation, spherical coo

1. Assignment for Group # 7
In class we discussed the solution to the problem of the cylinder with a constant
potential V0, and had trouble finding the proper solution. Finish this discussion
that is, find the correct solution (or point out the diffi

W3007: Problem Set 1: Assigned 9/7/16 due 9/14/16
Please read through chapter 1 of Griffiths. I expect you to be reasonably familiar with vector calculus,
and this weeks problems are to refresh your memory of the subject.
Problems 1.13, 1.34, 1.38, 1.4

W3007: Problem Set 2: Assigned 9/14/16 due 9/21/16
1. Three equal point charges are placed at the vertices of an equilateral triangle. How many saddle
points (points where the electric field is zero) exist within the triangle? Where are they located?

Calculation of Electric Fields with Special Symmetries
Monday, September 28, 2015
11:44 AM
Electric Fields Page 1
Electric Fields Page 2
Electric Fields Page 3
Electric Fields Page 4
Electric Fields Page 5
Electric Fields Page 6
Electric Fields Page 7
Ele

Monday, October 5, 2015
12:04 PM
Electric Fields Page 1
Electric Fields Page 2
Electric Fields Page 3
Electric Fields Page 4
Electric Fields Page 5
Electric Fields Page 6
Electric Fields Page 7
Electric Fields Page 8
Electric Fields Page 9
Electric Fields

Metals and Capacitors
Wednesday, September 30, 2015
11:49 AM
Electric Fields Page 1
Electric Fields Page 2
Electric Fields Page 3
Electric Fields Page 4
Electric Fields Page 5
Electric Fields Page 6
Electric Fields Page 7
Electric Fields Page 8
Electric F

Divergence and Stokes Theorem
Wednesday, September 23, 2015
9:53 AM
Electric Fields Page 1
Electric Fields Page 2
Electric Fields Page 3
Electric Fields Page 4
Electric Fields Page 5
Electric Fields Page 6
Electric Fields Page 7

David Griffiths' Introduction to
Electrodynamics
Note on units: This book works in SI units so I have taken the liberty of translating into cgs or
Gaussian units for equations and putting them accompanying the SI equations
Chapter 1: Vector Algebra
Sectio

1. Assignment for Group # 1
Draw electric field lines for the following configuration (equilateral triangle):
2. Assignment for Group # 2
Imagine there are some number of charges in space that are held fixed in their
positions. Is it possible to