February 9, 2011
Notes for Lecture #13
Vector potentials in magnetostatics
The vector potential which vanishes at innity and corresponds to a conned current density
distribution J(r) is given by
J(r )
0
d3 r
.
(1)
A(r) =
4
|r r |
This expression is useful
Page 1
Electrodynamics, Physics 323
Spring 2010
Name _
First midterm
8.20 am, Wednesday May 5, 2010
Instructor: David Cobden
Do not turn this page until the buzzer goes at 8.20.
Hand your exam to me before I leave the room at 9.25.
Attempt all the questio
Page 1
Electrodynamics, Physics 323
Spring 2010
Name _Solutions_
First midterm
8.20 am, Wednesday May 5, 2010
Instructor: David Cobden
Do not turn this page until the buzzer goes at 8.20.
Hand your exam to me before I leave the room at 9.25.
Attempt all t
Page 1
Name _
Electrodynamics, Physics 323
Spring 2011
Final exam
Instructor: David Cobden
8.20 am, Tuesday 7 June 2011
Do not turn this page until the buzzer goes at 8.20.
Hand your exam to me before I leave the room at 10.25.
Attempt all the questions.
Page 1
Name _solutions_
Electrodynamics, Physics 323
Spring 2011
Final exam
Instructor: David Cobden
8.20 am, Tuesday 7 June 2011
Do not turn this page until the buzzer goes at 8.20.
Hand your exam to me before I leave the room at 10.25.
Attempt all the q
February 24, 2011
PHY 712 Notes for Lecture #17
Derivation of the Linard-Wiechert potentials and elds
e
Consider a point charge q moving on a trajectory Rq (t). We can write its charge density as
(r, t) = q 3 (r Rq (t),
(1)
J(r, t) = q Rq (t) 3 (r Rq (t),
February 9, 2011
Notes for Lecture #14
Derivation of the hyperne interaction
Magnetic dipole eld
These notes are very similar to the notes on the electric dipole eld.
The magnetic dipole moment is dened by
m=
1
2
d3 r r J(r ),
(1)
with the corresponding p
February 9, 2011
Notes for Lecture #14
Derivation of the hyperne interaction
Magnetic dipole eld
These notes are very similar to the notes on the electric dipole eld.
The magnetic dipole moment is dened by
m=
1
2
d3 r r J(r ),
(1)
with the corresponding p
February 9, 2011
Notes for Lecture #13
Vector potentials in magnetostatics
The vector potential which vanishes at innity and corresponds to a conned current density
distribution J(r) is given by
J(r )
0
d3 r
.
(1)
A(r) =
4
|r r |
This expression is useful
February 4, 2011
Notes for Lecture #10
Dipole elds
The dipole moment is dened by
p=
d3 r(r)r,
(1)
(r) =
1 p
r
,
2
40 r
(2)
with the corresponding potential
and electrostatic eld
E(r) =
1
40
3(p ) p 4
r
r
p 3 (r) .
3
r
3
(3)
The last term of the eld expre
January 10, 2011
Notes for Lecture #2
Examples of solutions of the one-dimensional Poisson equation
Consider the following one dimensional charge distribution:
0
0
(x) =
+0
0
for
for
for
for
x < a
a < x < 0
0<x<a
x>a
(1)
We want to nd the electrostatic p
January 10, 2011
Notes for Lecture #1
1
Introduction
1. Textbook and course structure
2. Motivation
3. Chapters I and 1 and Appendix of Jackson
(a) Units - SI vs Gaussian
(b) Laplace and Poisson Equations
(c) Greens Theorm
2
Units - SI vs Gaussian
Coulomb