Chapter 1 Vector Analysis
1.1.1 Vector Operations (II)
1.1 Vector Algebra: 1.1.1 Vector Operations (I)
(i) Addition of two vectors:
Vectors: Quantities have both magnitude and direction,
denoted by boldface (A, B, and so on).
Place the tail of B at the he
Chapter 2 Electrostatics
Action at a distance
2.1 The Electric Field: 2.1.1 Introduction
What is the force on the test charge Q due to a source
charge q?
Coulombs law, like Newtons law of gravitation, involves the
concept of action at a distance.
We shall
Chapter 5 Magnetostatics
The Magnetic Field
5.1 The Lorentz Force Law 5.1.1 Magnetic Fields
Outside a magnetic the lines emerge from the north pole
and enter the south pole; within the magnet they are
directed from the south pole to the north pole. The do
PHYS2310 ()
[Griffiths Ch.1-3] 2008/12/23 10:10am12:00am,
Useful formulas
V
1 V
1 V
1 2
1
1
V =
r +
+
and v = 2
(r vr ) +
(sin v ) +
v
r
r
r sin
r r
r sin
r sin
1. (8%,12%) v = r 2 cos r + r 2 cos r 2 cos sin
(a) Compute v .
(b) Check the diverg
PHYS2310 ()
[Griffiths Ch. 4-6]
2009/01/15, 10:10am12:00am,
v v
1 vz v
1 ( sv ) vs
]s + [ s z ] + [
]z
Useful formulas: Cylindrical coordinate v = [
s z
s s
z s
Specify the magnitude and direction for a vector field.
1. (10%, 10%) The magnetic field o
PHYS2320 ()
[Griffiths Ch. 7-8]
2009/04/14, 10:10am12:00am,
1. (10%, 10%)
A long coaxial cable of length l consists of an inner conductor (radius a) and an outer
conductor (radius b). It is connected to a battery at one end and a resistor at the other,
Chapter 10: Potentials and Fields
Scalar and Vector Potentials
10.1 The Potential Formulation
10.1.1 Scalar and Vector Potentials
In the electrodynamics,
1
(i) E =
0
In the electrostatics and magnetostatics,
1
(i) E =
(iii) E = 0
0
(ii) B = 0
(iV) B = 0
Chapter 3 Special Techniques
3.1.2. Laplaces Equation in 1D
3.1 Laplaces Equation: 3.1.1 Introduction
Poissons equation:
V =
2
1
0
Suppose V depends on only one variable, x.
(r )
2V
=0
x 2
V ( x) = mx + b
Very often, we are interested in finding the po
PHYS2310 ()
[Griffiths Ch.1-3]
2008/11/18,
10:10am12:00am,
Useful formulas
V
1 V
1 V
1 2
1
1
V =
r +
+
and v = 2
(r vr ) +
(sin v ) +
v
r
r
r sin
r r
r sin
r sin
1. (6%, 7%, 7%) Suppose the potential at the surface of a hollow hemisphere is speci
Chapter 12 Electrodynamics and Relativity
Ether
12.1 The Special Theory of Relativity
Properties of the ether: Since the light speed c is enormous,
the ether had to be extremely rigid. So it did not impede the
motion of light. For a substance so crucial t
PHYS2320 ()
[Griffiths, Chaps. 9, 10, and 12] 2009/06/09,
10:10am12:00am,
1. (10%, 10%)
(a) Einsteins velocity addition rule. The transformations between two inertial systems S
and S are x ( x vt ) and t (t vx c 2 ) . v is the relative speed of the syst
()
PHYS2320 ( 3)
D. J. Griffiths, Introduction to Electrodynamics, 3rd
1. R. P. Feynman, R. B. Leighton, and M. Sands, The
Feynman Lectures on Physics II.
2. Murray R Spiegel, Vector Analysis.
3. Erwin Kreyszig, Advanced engineering Mathematics.
(10:10 1
Chapter 4 Electric Fields in Matter
Dielectrics
4.1 Polarization: 4.1.1 Dielectrics
Dielectrics : Microscopic displacements are not as
dramatics as the wholesale rearrangement of charge in
conductor, but their cumulative effects account for the
characteri
Chapter 6 Magnetic Fields in Matter
6.1.2. Torques and Forces on Magnetic Dipoles
6.1 Magnetization
6.1.1 Diamagnets, Paramagnets, Ferromagnets
A magnetic dipole experiences a torque in a magnetic field,
just as an electric dipole does in an electric fiel
Chapter 8: Conservation Laws
The Continuity Equation
8.1 Charge and Energy 8.1.1 The Continuity Equation
Conservation laws
in electrodynamics
V
the paradigm
Charge
Energy
Momentum
Angular momentum
Global conservation of charge: the total charge in the uni
Chapter 7: Electrodynamics
Resistivities (ohm-meters)
7.1 Electromotive Force 7.1.1 Ohms Law
Pushing on the charges make a current flow. How fast the
charges move depends on the nature of the materials and
the forces.
velocity of the charge
current densit
7.2.3 Inductance
Neumann Formula for the Mutual Inductance
Two loops of wire at rest.
A steady current I1 around loop 1 B1
Some B1 passes through loop 2 2
2 = B1 da and B1 =
2 = [
0
4
v
2 = B1 da= ( A1 ) da= v A1 dl 2
A1 =
0 I1 dl1
4 v r
0 I1
dl1 dl 2
11.1.2 Electric Dipole Radiation
Chapter 11: Radiation
11.1 Dipole Radiation 11.1.1 What is Radiation?
A charge at rest does not generate electromagnetic wave; nor
does a steady current. It takes accelerating charges, and/or
changing currents.
The purpose
()
PHYS2310 ( 3)
D. J. Griffiths, Introduction to Electrodynamics, 3rd
1. R. P. Feynman, R. B. Leighton, and M. Sands, The
Feynman Lectures on Physics.
2. Murray R Spiegel, Vector Analysis.
3. Erwin Kreyszig, Advanced engineering Mathematics.
4. , .
(10: