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r
ELECTROMAGNETIC
FIELD THEORY:
a problem solving approach
MARKUS
WHN
Massachusetts Institute of
Technology
to

my
pnrents
Preface
V
PREFACE
Electromagnetic
field
theory
is
often
the
least
popular
course
in
the
electrical
engineering
curriculum.
Heavy
reli-
ance on vector
and
integral
calculus can
obscure
physical
phenomena
so

that
the
student
becomes
bogged
down
in
the
mathematics
and
loses
sight
of
the
applications.
This
book
instills
problem
solving
confidence
by
teaching
through
the
use
of
a
large
number

of
worked
examples.
To
keep
the
subject
exciting,
many
of
these
problems
are
based
on
physical
pro-
cesses,
devices,
and
models.
This
text
is
an
introductory
treatment
on
the
junior

level
for
a
two-semester
electrical
engineering
course
starting
from the
Coulomb-Lorentz
force
law
on
a
point
charge.
The
theory
is
extended
by
the
continuous
superposition
of
solutions
from
previously
developed
simpler problems leading

to
the
general
integral
and
differential
field
laws.
Often
the
same
problem
is
solved
by
different
methods
so
that
the
advantages
and
limita-
tions
of
each
approach
becomes clear. Sample
problems
and

their
solutions
are
presented
for
each
new
concept
with
great
emphasis
placed
on
classical
models
of
such
physical
phenomena
as
polarization,
conduction,
and
magnetization.
A
large
variety
of
related problems
that

reinforce
the
text
material are
included
at
the
end
of each
chapter
for
exercise
and
homework.
It
is
expected
that
students
have
had
elementary
courses
in
calculus
that
allow
them
to
easily

differentiate
and
integrate
simple
functions.
The
text
tries
to
keep
the
mathematical
development
rigorous
but
simple
by
typically
describing
systems
with
linear, constant
coefficient
differential
and
difference
equations.
The
text
is

essentially
subdivided
into
three
main
subject
areas:
(1)
charges
as
the
source
of
the
electric
field
coupled
to
polarizable
and
conducting
media
with
negligible
magnetic
field;
(2)
currents
as
the source

of
the magnetic
field
coupled
to
magnetizable
media
with
electromagnetic
induction
generat-
ing
an electric
field;
and
(3)
electrodynamics
where the
electric
and
magnetic
fields
are
of
equal
importance resulting
in
radi-
ating
waves.

Wherever
possible,
electrodynamic
solutions
are
examined
in
various
limits
to
illustrate
the
appropriateness
of
the
previously
developed
quasi-static
circuit
theory approxi-
mations.
Many
of
my
students
and
graduate
teaching
assistants
have

helped
in
checking
the
text
and
exercise
solutions
and
have
assisted
in
preparing
some
of
the
field
plots.
Markus
Zahn
I

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