PHY 6346 Fall 2015
Homework #10, Due Wednesday, December 9
1. An electromagnetic device consists of two circular conducting plates of radius a, separated
by a distance d (small compared to) a in the direction perpendicular to the plates. A slowly
varying

PHY 6346 Fall 2015
Homework #2, Due Monday, September 7
1. What charge distribution produces the potential =
1 q
exp
40 r
2
r
2a2
?
2. A charge distribution has the form
=
q
r2
1 2 exp
4ra2
a
Compute the total charge Q, the electric eld
2
r
2a2
.
, the

PHY 6346 Fall 2015
Homework #4, Due Monday, September 21
2 = 0 in the 2d slab < x < , b < y < b, with boundary
conditions (x, +b) = +Vs (x) on the top and (x, b) = Vs (x) on the bottom, where
V0, a < x < 0,
1. A potential satises
Vs (x) =
+V0 ,
0 < x < a,

PHY 6346 Fall 2015
Homework #5, Due Monday, September 28
1. A 2d square space of side a with grounded edges contains in its interior a constant charge
density = 0 .
(a) What is the potential in the interior of the square?
(b) Where is the electric eld the

PHY 6346 Fall 2015
Homework #6, Due Monday, October 5
1. Express (x x ) as a Legendre series
2. Suppose f (x) =
an Pn(x).
an Pn(x). Express the integral
1
dx [f (x)]2 as a series of the an .
1
3. Express f (x) = ln(1 x2 ) as a series
an Pn(x).
4. Use t

PHY 6346 Fall 2015
Homework #7, Due Monday, October 26
1. A spherical nucleus has constant charge density 0 for r < R0 . The surface of the nucleus
is distorted so that the radius becomes
R = R0 [1 + + P2 (cos )].
(a) Find the multipole moments of the dis

PHY 6346 Fall 2015
Homework #8, Due Monday, November 9
1. Find a vector potential that produces the magnetic eld
= C(x y ) and satises
the condition = 0. Find another vector potential that produces the same magnetic
eld and also satises = 0.
2. Show how t

PHY 6346 Fall 2015
Homework #9, Due Monday, November 30
1. A permeable cylinder with = 0 is placed in a uniform external magnetic eld 0 .
For the following three cases, determine the strength and direction of the magnetic eld
in the interior of the cylind

PHY 6346, Fall 2015
Homework #1, Due Monday, August 31
1. Starting from equation (1.5) in the text, compute the electric eld
() at every point
in space produced by an innite sheet of uniform surface charge density lying in the x-y
plane.
2. Suppose that,