Physics 326
Solutions
Due Friday, September 27, 2013
Assignment #3
1. Call the source vector to the charge on the positive and negative axis, r+ and r
respectively.
a. The vectors are:
r+ = ax
r = ax
r+ = r

Physics 326
Solutions
Assignment 2
Due: Tuesday September 20, 2013
1.
a.
i ( v) = i
x
y
z
x
y
=
z
vx
vy
vz
vz vy vz vx + vy vx =
x y
z y x
z
z x
y
x y y x vz and so on. = 0
b.
x
y
z
(f ) = i x
y
z

Physics 326
Assignment 2
Due: Wednesday September 24, 2014
1. Given a function f (x, y, z) , and a vector function v(x, y, z) , show that:
a. ( v ) = 0
b. ( f ) = 0
[4]
2. Given the vector function F(r )

Physics 326
Assignment 1 Solutions
!
1. Given r (t) = a cos(t) x + asin(t) y , where a is a constant and
0 t 2 ,
a. The dot product gives zero, so they are perpendicular.
!
r (t) = a cos(t) x + asin(t) y
!
dr (t)
= a

Physics 326
Assignment 1
Due: Friday September 12, 2014
!
1. A vector is given by r (t) = a cos(t) x + asin(t) y , where a is a constant and
0 t 2 .
!
dr (t)
!
a. Show that
is perpendicular to r (t) . (Hint:

Physics 326
Assignment #3
Due: Wednesday, October 8, 2014
1. Consider two charges, each +Q , located at x = a . For a point
r = xx + yy + zz :
y
+Q
+Q
-a
a
x

Physics 326
Assignment #6
Due: Friday, November 28, 2014
1. A conducting sphere of radius a is charged to a potential V and spun about a
diameter with angular velocity .
V (r = a) 0V
a. Show that the surfa

Physics 326
Assignment #5
Due: Friday, November 14, 2013
1. A spherical shell of radius R carries a uniform surface charge 0 on the
northern hemisphere and a uniform surface charge 0 on the southern
hemis

Physics 326
Solutions
Assignment #4
Due: Friday, October 24, 2014
1. The charge density on the metal sphere of radius, R, is:
Q
=
4 R 2
The force per unit area on the surface is given by:
2
f=
n
2 0

Physics 326
Assignment #5
Due: Friday, November 14, 2014
1. A spherical shell of radius R carries a uniform surface charge 0 on the
northern hemisphere and a uniform surface charge 0 on the southern
hemisphe

Physics 326
Assignment #4
Due: Friday, October 24, 2014
1. Consider a metal sphere of radius R that has a total charge of Q. What is the force
on one hemisphere by the other?
[ 8]
2. A long coax