APPH E3300
Due at 5 pm
Homework 10
Wednesday April 18, 2012
Problem 1:
(a) Two metal objects are embedded in a weakly conducting material of conductivity . Show that
the resistance between them is related to the capacitance of the arrangement by:
R=
0
C
(
APPH E3300
Due at 5 pm
Homework 9
Wednesday April 11, 2012
Problem 1:
Griths Problem 6.3 on page 259.
Problem 2:
A spherical shell of inner radius a and outer radius b is constructed of uniformly magnetized material
with magnetization M .
(a) Find the equ
APPH E3300
Due at 5 pm
Homework 1
January 25, 2012
Reading: Griths Chapter 1 and front cover of Griths.
Problem 1:
Vector identities can be proven by grinding them out in component form, but it is more satisfying to
use methods based on the integral theor
98
Scott Massidda
1.
r
q 2 r a
e
a3
We can find E through Gausss Law:
E da
Q
0
q
0 a
e2 r a E 4 r 2 E
3
r
1
q
4
e2 r a r 2 dr , which is a common
2
3
4 r
a
00
integral from statistics and it yields:
r
r
q 2 r a a 2
2 r a 2
1
a 2
q
a 2
4
e
APPH E3300
Due at 5 pm
Homework 3
February 8, 2012
Reading: Griths Chapter 2
Problem 1:
A metal sphere of radius R carries a total charge Q. What is the force of repulsion between the
northern hemisphere and southern hemisphere?
Problem 2:
Imagine that th
APPH E3300
Homework 5
Due at 5 pm
February 22, 2012
Reading: Griths Chapter 3
Problem 1:
Two semi-innite grounded conducting planes meet at a 60 degree angle. In the region between them,
there is a point charge q which is situated a distance a from one pl
APPH E3300
Homework 6
Due at 5 pm
March 7, 2012
Reading: Griths Chapter 4
Problem 1:
According to quantum mechanics, the electron cloud for a hydrogen atom in the ground state has a
charge density:
q
(r) = 3 e2r/a
a
where q is the charge of the electron a
APPH E3300
Homework 7
Due at 5 pm
Wednesday March 28, 2012
Reading: Griths Chapter 4, 5
Problem 1:
(a) When an electron beam is passed through a region with a uniform magnetic and electric elds B
and E which are mutually perpendicular and also perpendicul
APPH E3300
Due at 5 pm
Homework 2
February 1, 2012
Reading: Griths Chapter 2
Problem 1:
At each corner of a square of side R is a particle with charge q . Fixed at the center of the square is
a charge Q. Find the magnitude and sign of Q so that the total
APPH E3300
Homework 4
Due at 5 pm
February 15, 2012
Reading: Griths Chapter 3
Problem 1:
Find the average potential over a spherical surface of radius R due to a point charge q located inside
the sphere. Show that, in general,
Qenc
Vave = Vcenter +
4 0 R
APPH E3300
Homework 8
Due at 5 pm
Wednesday April 4, 2012
Reading: Griths Chapter 5
Problem 1:
Find the magnetic vector potential of a nite segment of straight wire, carrying a current I . Put
the wire on the z -axis, from z1 to z2 , and use Eq. 5.64. Che
Problem1. Find the capacitance of concentric sphere metal shells, with radii a and
radii b.
Problem2. Two infinitely long wires running parallel to the x axis carry charge
densities +and (a) Find the potential at any point(x, y, z), using the origin as yo
2) T his p robl em can be elegantly s olved b y t he m ethod o f i mages. To m ake t he t he a lgebra
simple, choose vertical axis a ligned t o t he i mage c harge.
/
P,se
l
)
/
/
/
I
8/
'2z
0'
I
/
_ t~-p
=
p cos er + p s in ee
The electric field is g ive