PHYS 325 - EM 02
Syllabus
Background required
- Vector calculus
- Maxwells equations for electro and magnetostatics; we will revise the
latter
- Scalar (and vector) potential
- Perfect conductors in vacuum
- Electric current
- Definition of capacitance,

PHYS 342 - EM 02
Lecture 13
We continue our study of an ideal electrostatic dipole in an external electrostatic
field.
13.1 Field Dipole Interaction Energy
We want to calculate the interaction energy between an ideal electrostatic dipole
and an external e

PHYS 342 - EM 02
Lecture 12
In PHYS 242, we studied the problem of the electrostatic dipole. We also gave an
introduction to the general method called multipole series expansion of the electrostatic potential. We will now present this method more in depth

PHYS 342 - EM 02
Lecture 10
In the next couple of lectures, we will focus on the study of the forces acting on
electrically charged conductors and on circuits carrying electrical current.
10.1 Forces on Electrically Charged Conductors
The knowledge of the

PHYS 342 - EM 02
Lecture 11
In Lecture 10, we studied the forces acting on electrically charged conductors. We
will now consider a similar problem, but for current-carrying circuits in magnetic
fields.
11.1 Forces on Electric Current-Carrying Circuits in

PHYS 342 - EM 02
Lecture 7
In Lecture 6, we formulated the electrostatic problem as the minimization of a
functional representing the total energy of a system of charges. The functional was
defined as
1
2
~
Ue () = Ue () = 0
()
dV
dV
(7.1)
2
In PHYS 242,

PHYS 342 - EM 02
Lecture 9
9.1 Self Inductance of a Quasi-Filiform Circular Ring
(Maxwells Inductance)
Circular rings are simple structures commonly encountered in applications and, yet,
the calculation of their self inductance is not an easy problem.
Con

PHYS 342 - EM 02
Lecture 8
Consider a quasi-filiform (closed) circuit with cross-section dA and carrying a
steady current I, as shown in Fig. 8.1. The current is generated by an emf, which
is not shown in the figure.
Figure 8.1
The surface is any open sur

PHYS 342 - EM 02
Lecture 4
~
4.1 On the Vector Potential of B
~ for a magIn PHYS 242 we saw that a complete definition of a vector potential A
~
netostatic field B comprises a set of two equations:
~ A
~=B
~
(4.1a)
~=0
~ A
(4.1b)
~ behaves on some boundar

PHYS 342 - EM 02
Lecture 6
In Lecture 5, we have seen that electric and magnetic forces are different representations of the same phenomenon: The electromagnetic interaction.
In the spirit of that finding, we will next consider a few electric and magnetic

PHYS 342 - EM 02
Lecture 3
3.1 On the Rotational Character of Amp`
eres Law
~ is rotational, i.e.,
The magnetostatic field B
~ ~td` = 0 I
B
(3.1)
The current I is the algebraic sum of all currents linked with . Two closed lines
are linked to each other if

PHYS 342 - EM 02
Lecture 5
5.1 Lorentz Force
As we saw in PHYS 242, the force on an electric charge depends on where the charge
is in space and on how fast is moving.
The first part of the force is the electric force, which is independent of the motion
~

PHYS 342 - EM 02
Lecture 2
2.1 Electric Current
The electric current intensity is defined as
d
q t
i t =
dt
(2.1)
A metallic conductor can be thought as a lattice of positive fixed charges and a
cloud of electrons that are free to move. The electrons can