Classical Electrodynamics PHY5346
First Midterm Exam
Instructor: Jorge Piekarewicz
(October 9, 2012)
DO NOT START WORKING ON THE EXAM UNTIL YOU HAVE
READ CAREFULLY THE FOLLOWING INSTRUCTIONS. The midterm
consists of 2 short problems. You have exactly one
LECTURES IN ELEMENTARY
FLUID DYNAMICS:
Physics, Mathematics and Applications
J. M. McDonough
Departments of Mechanical Engineering and Mathematics
University of Kentucky, Lexington, KY 40506-0503
c 1987, 1990, 2002, 2004, 2009
Contents
1 Introduction
1.1
CHAPTER 4
Multipoles, Electrostatics of
Macroscopic Media, Dielectrics
This chapter is first concerned with the potential due to localized charge distri
butions and its expansion in multipoles. The development is made in terms of
spherical harmonics, but
3
The Orbits of Stars
In this chapter we examine the orbits of individual stars in gravitational
elds such as those found in stellar systems. Thus we ask the questions,
What kinds of orbits are possible in a spherically symmetric, or an axially
symmetric
PHYS809 Class 14 Notes
Green function methods in electrostatics
Greens first theorem is
+ dV = dS = n dS ,
2
V
S
(14.1)
S
where and are two scalar fields and S is the bounding surface of a volume V. Also the unit vector n
is normal to the surface S and
603: Electromagnetic Theory I
CONTENTS
Maxwells Equations: Introduction; units; boundary conditions.
Electrostatics: Uniqueness theorem; Greens theorem; gauge potentials; energy
Boundary value problems in electrostatics: Method of images; separation of
Eur. J . P hys. l (1980) 85-88. Printed in Northern Ireland
85
Earnshaws theorem
and the stability
of matter
W Jones
D epartment of Physics, University of Sheffield,
Sheffield S 3 7 RH, E ngland
Received 4 J une 1980
Abstract Weconsider the proof of Earns
1
PHY481 - Lecture 15: Remarkable general properties of electrostatics
Griths: Chapter 3 Earnshaws theorem One of the remarkable aspects of Laplaces equation on any domain is that there can be no minima in the interior of the domain, there can only be sad
UFIFT-HEP-10-
Classical Electrodynamics
Charles B. Thorn1
Institute for Fundamental Theory
Department of Physics, University of Florida, Gainesville FL 32611
Abstract
1
E-mail address: [email protected]
Contents
1 Introduction
1.1 The Field Concept . . .
1
Elements of Electromagnetic Theory
Ring the bells that still can ring.
Forget your perfect offering.
There is a crack in everything.
That is how the light gets in.
Leonard Cohen
Essential elements of engineering electrodynamics and relevant terminology
ELECTROMAGNETISM
Onuttom Narayan
University of California, Santa Cruz
Shyamsunder Erramilli
Boston University
September 25, 2011
c Onuttom Narayan and Shyamsunder Erramilli
ii
Contents
I
Basic Concepts
1
1 Electrostatics: Free charges and elds
3
1.1
Intro
Classical Electrodynamics PHY5346
HOMEWORK 5
(October 9, 2012)
Due on Thursday, October 18, 2012
PROBLEM 13
Consider the thin ring of Problem 11 to be embedded inside a grounded spherical
conducting shell centered at the origin and of radius R > a.
(a) Fi
Classical Electrodynamics PHY5346
HOMEWORK 5
(October 9, 2012)
Due on Thursday, October 18, 2012
PROBLEM 13
Consider the thin ring of Problem 11 to be embedded inside a grounded spherical
conducting shell centered at the origin and of radius R > a.
(a) Fi
Classical Electrodynamics PHY5346
HOMEWORK 3
(September 19, 2012)
Due on Thursday, September 27, 2012
PROBLEM 7
Consider the following charge distribution:
(r, , ) = 0 er/a (1 + cos ) ,
where 0 , a, and are positive constants.
(a) Compute the total charge
Electrostatic Confinement, Levitating Frogs, and Earnshaw's Theorem
Consider a square of length 2 on a side located on the x-y plane and with its
center defining the origin of the coordinate system. Place 4 identical point
charges (or masses) at its corne
Classical Electrodynamics PHY5346
HOMEWORK 2
(August 30, 2012)
Due on Thursday, September 20, 2012
Note that for most of the problems that will be assigned during the semester,
use of Maple and/or Mathematica is highly encouraged.
PROBLEM 4 (similar to J.
Classical Electrodynamics PHY5346
HOMEWORK 4
(October 1, 2012)
Due on Thursday, October 11, 2012
PROBLEM 10
Two point charges (q ) are located at positions az relative to the origin of a
grounded conducting spherical shell of radius R > a.
(a) Write down
Copyright 2004
5
Motion under the Influence
of a Central Force
The fundamental forces of nature depend only on the distance from the
source. All the complex interactions that occur in the real world arise from these
forces, and while many of them are usu
Classical Mechanics Review
(Louisiana State University Qualier Exam)
Je Kissel
October 11, 2006
A homogeneous cube each edge of which has a length , is initially
in a position of unstable equilibrium with one edge in contact with
a horizontal plane. The c
Name: SOLUTIONS
PHY 5246: Theoretical Dynamics, Fall 2012
October 1st, 2012
Midterm Exam # 1
Always remember to write full work for what you do. This will help your grade in
case of incomplete or wrong answers. Also, no credit will be given for an answer,
PHY 5246: Theoretical Dynamics, Fall 2012
Assignment # 6, Solutions
1
Graded Problems
Problem 1
The equation of the orbit for the force given in this problem is
2
2
that can be written as
1
mr 2
mk m
1
+ = 2 F (r ) = 2 + 2 ,
r
r
l
l
lr
2
2
m
1
+ 1 2
r
l
m