Physics 318
Electromagnetism
R.G. Palmer
4/28/08
Final Exam 2008 (24hr takehome)
Notes:
You are on your honor to abide by the rules in the handout About the Final. Violations will be treated
extremely seriously: see http:/www.phy.duke.edu/graduate/resourc
Physics 318 Electromagnetism Final Exam 2009 (24hr takehome) Notes:
R.G. Palmer 4/27/09
You are on your honor to abide by the rules in the handout About the Final. Violations will be treated extremely seriously: see http:/www.phy.duke.edu/graduate/resourc
Physics 318 Electromagnetism Final Exam 2010 Notes:
R.G. Palmer 5/4/10
For full credit you must justify what you are doing. Show all work. Pulling an obscure formula out of a hat may lose you points; you must at least say where it came from (e.g., [Jackso
Physics 318 Electromagnetism Greens Function for the Poisson Equation
R.G. Palmer 4/9/10
1. The nonhomogeneous problem for the Poisson Equation
2
(x) = (x)/0
in a domain V
Closed boundary conditions on (x) at the surface S 2. The Greens function G(x, x )
Physics 318
Electromagnetism
R.G. Palmer
3/26/10
Helmholtz & Laplace Equations Solution Summary
The Helmholtz equation is
(
2
+ k 2 ) = 0
If k = 0, then is called the Helmholtz equation. k 2 is usually positive in most applications.
If k = 0, then is ca
Physics 318 Electromagnetism Test 1
R.G. Palmer 2/22/10
1. Prove the following identities. You should just assume the fundamental theorems for grad, div, and curl (Stokess theorem). a.
C
u v dl =
C
v u dl
b.
V
A d3 x =
S
n A da
c.
S
n
da =
C
dl
2.
a.
Physics 318 Electromagnetism Test 2
R.G. Palmer 4/5/10
1.
a. There is a local magnetic eld at a magnetic dipole, H local , which is not the same macroscopic eld H (like the electric eld). In a uniform magnetization M , nd H local from H and M . Write down