PHYS125 Term II (Spring 2013)
Prof. Alexander Moewes
PHYSICS 125.3: PHYSICS AND TECHNOLOGY
Term II 2012-2013 Academic Year
COURSE OUTLINE
Instructor: Prof. Alexander Moewes, Ph.D.
Office: Room 154 Physics Building
Phone: 306-966-6431
email: al
Phys 125 Formula sheet
(2 pages please note also below for what is NOT on the sheet)
d
d
or =
, =
or =
t
dt
t
dt
s
m
a = r, v = r, = , W = , p + gh + v 2 = const ., A1v1 = A2v 2 , =
r
2
V
F m
V
V p 4
F
L
p= ,
= Av,
= Av,
=
r , F
Phys 125 Formula sheet
(2 pages please note also below for what is NOT on the sheet)
d
d
or =
, =
or =
t
dt
t
dt
s
m
a = r, v = r, = , W = , p + gh + v 2 = const ., A1v1 = A2v 2 , =
r
2
V
F m
V
V p 4
F
L
p= ,
= Av,
= Av,
=
r , F
Chapter 6
Harmonic Expansion of
Electromagnetic Fields
6.1
Introduction
For a given current source J(r; t); the vector potential can in principle be found by solving the
inhomogeneous vector wave equation,
r2
1 @2
c2 @t2
A (r; t) =
0 J (r; t) ;
provided t
Chapter 2
Electrostatics II. Potential Boundary
Value Problems
2.1
Introduction
In Chapter 1, a general formulation was developed to nd the scalar potential
electric eld E =
r
(r) and consequent
for a given static charge distribution (r): In a system invo
P812 (2010-11) Solutions No. 2
1. The upper half (0 < < =2) of a spherical shell of radius a carries a uniform surface charge
(C m 2 ) and the lower half ( =2 < < ) carries a surface charge of opposite sign
:
(a) Find the potential along the z axis
(b) Fr
P812 Solution No. 1
1. The potential due to a ring charge (charge q; radius a) placed on the x
(r; ) =
q
2
2
0
p
r2
+
a2
y plane is
1
K (k 2 )
+ 2ar sin
where K k 2 is the complete elliptic integral of the rst kind de ned by
K (k 2 ) =
Z =2
The argument k
P812 Assignment No. 1
1. The potential due to a ring charge (charge q; radius a) placed on the x
q
(r; ) =
where K
k2
2
2
0
p
r2
+
a2
y plane is
1
K (k 2 )
+ 2ar sin
is the complete elliptic integral of the rst kind de ned by
K (k 2 ) =
Z =2
0
The argumen
P812 (2010-11) Assignment No. 2
1. The upper half (0 < < =2) of a spherical shell of radius a carries a uniform surface charge
(C m 2 ) and the lower half ( =2 < < ) carries a surface charge of opposite sign
:
(a) Find the potential along the z axis
(b) F