►
From YouTube: EOSC 350 EM Lecture 1
Description
Lecture on applied electromagnetic geophysics.
A
On
a
Friday
afternoon
after
the
exam
yeah,
so
we
got
me
back
so
yeah.
The
exam
is
long
goes
too
long.
On
the
other
hand,
there
was
a
lot
of
benefits
to
having
an
exam.
That
was
that
long,
because,
first
of
all,
it
actually
gave
you
practice
on
each
of
the
three
sections.
So
it's
the
short
answer
is
really
that
you
know
that
people
spent
the
most
time
that,
but
that
gave
you
you
know
at
least
one
example
for
each
of
those
sections,
which
is
that
we
can
really
did
you
put.
A
You
know
we're
looking
at
the
distribution,
the
correlations
between
the
multiple
choice
and
the
short
answers,
and
it's
there's
really
not
a
very
good
correlation
if
you
have
to
make
an
evaluation
of
who's
the
top
students,
just
by
looking
at
the
multiple
choice,
the
chances
are
that
you
could.
You
could
be
pretty
wrong
and
if
you
think
about
it
for
a
multiple-choice
question,
we've
got
four
answers.
A
A
A
A
We're
kind
of
looking
at
electromagnetic
induction
and
the
example
that
we
were
using
was
this
guy
that
was
coming
to
in
the
security
system
and
our
the
general
sort
of
physical
idea
of
what's
going
on
is
that
we've
got
a
transmitter
here,
so
that's
giving
out
a
time-varying
magnetic
field.
If
that
sees
something
that's
conductive
in
here
it
generates
currents
and
if
those
those
currents
then
generate
another
magnetic
field,
that's
picked
up
by
the
sensor.
So
those
are
the
three
elements
that
we
have
and
we
encapsulated
it.
A
So
the
first
is
that
we've
got
some
kind
of
a
transmitter
and
usually
that's
just
a
loop
of
wire
and
that
wire
generates
a
magnetic
field.
So
if
you
remember
that
right-hand
rule,
if
we
think
about
a
current,
that's
going
in
this
wire,
then
that
magnetic
field
is
going
to
go
like
this
and
is
actually
going
to
look
like
a
dipole.
So,
if
we're
sitting
anyplace
in
here-
and
we
see
this
time
varying
magnetic
field,
then
that
generates
this
electric
field.
So
that's
that
force
that
is
going
to
cause
electrons
to
move.
A
If
their
material
is
conductive,
then
that
gives
us
an
electric
current
density
J,
which
is
equal
to
Sigma
times,
either
cut
the
conductivity,
and
then
those
currents
produce
a
secondary
magnetic
field
that
we
can
measure
and
receive.
So
that's
that
that's
the
process
and
we're
just
kind
of
gonna
step
through
I
fit
you're,
really
all
rested
up
from
the
weekend.
You
have
the
opportunity.
This
is
probably
know
one
of
the
most
kind
of
interesting
and
challenging
mental
exercises.
A
You
have
in
this
lecture
today,
just
to
kind
of
keep
track
of
of
everything,
so
we're
gonna
take
each
one
of
them
separately.
First
of
all,
we're
going
to
have
a
transmitter
and
the
primary
fuel
never
going
to
look
at
something
called
the
magnetic
flux
and
something
called
coupling.
So
those
those
are
essential
elements
that
we're
going
to
need,
then
we'll
look
at
the
target.
What
the
induced
currents
are
secondary
feels
what
the
receiver
are
and
the
data
so
we're
going
to
take
each
of
these
in
turn.
A
So
let's
look
at
a
generic
system,
so
we've
got
a
transmitter
so,
as
I
said,
there's
just
going
to
be
a
loop
of
wire
and
we're
going
to
attach
a
generator
to
it,
and
it's
going
to
give
a
primary
field
that
will
propagate
into
the
earth.
It
could
also
propagate
to
a
receiver.
So
this
primary
field
goes
everywhere.
We're
going
to
have
something
in
here.
That's
our
target.
A
A
A
Yeah,
so
we've
got
these
currents
inside
the
inside
you're
inside
the
core,
so
those
currents
then
give
rise
to
our
magnetic
field,
and
if
you
want
to
think
in
the
earth
you
can
just
think
about
soda
inside
the
core
and
there's
just
some
great
big
current
that
that's
going
around
and
then
the
magnetic
field
at
any
point,
is
just
given
by
that
rule.
So
if
you
think
about
putting
your
fingers
your
thumb
on
this
current
here,
you
can
see
how
it
would
sort
of
curve
around,
and
so
you
get
a
magnetic
field.
A
A
We
can
also
calculate
what
the
strength
of
that
dipole
is
remember.
We
had
this
thing
called
the
magnetic
moment
when
we
translate
that
to
a
loop
and
the
current,
it's
the
it's
just
the
area
of
the
loop
Thanks,
whatever
the
current
is
so
if
we
have
some
particular
area
here,
then
the
strength
of
that
that
current
multiplied
by
the
area
gives
rise
to
that
magnetic
moment.
So
that's
actually
how
we
make
that
correspondence
between
you
and
the
currents
and
both
the
magnetic
field
and
the
total
strength.
A
A
So
if
the
loop,
if
the
currents
flowing
this
way,
then
the
magnetic
field
is
pointing
this
way
of
Chris.
The
other
way
is
pointing
that
way.
So
what
point
currently
this
way,
then
that
way,
this
way
that
way,
some
things
that
you
there's
a
time
varying
magnetic
field.
So
that's
the
ticket.
We
have
a
generator
here.
That's
got
an
oscillating
current.
It
generates
a
time
varying
magnetic
field
so
that
now,
if
you're
a
target
body
there,
then
you're
going
to
see
this
time
varying
magnetic
field.
That's
going
to
generate
currency,
okay,
so
the.
A
Time
varying
current
gives
a
time
varying
magnetic
field.
You
can
also
see
the
other
thing
that
happens
too.
Is
that,
depending
upon
the
orientation
of
this,
we
can
imagine
this
guy's
like
current,
is
going
in
here,
so
I
got
a
dipole,
but
if
I
put,
if
I
move
it
this
way,
then
I've
got
no
particular
orientation
of
the
dipole
I
move
this
way
up.
Another
orientation
so,
depending
upon
the
orientation
of
my
loop
I'm,
actually
going
to
get
different
magnetic
fields
wherever
I
point.
A
A
We
can
define
something
called
the
magnetic
flux
which
is
equal
to
B
at
magnetic
field,
dot
and
hat
da,
where
the
area
where
the
integral
is
over
the
area
of
this
of
this
loop,
the
dot
hat,
means
that
it's
just
just
a
normal
component
of
U.
So
if
I've
got
something,
then
if
I've
got
a
magnetic
heel,
it's
coming
in
like
this
and
is
it
is
constant.
Then
the
flux
is
just
going
to
strengthen
that
magnetic
field
times
the
area.
A
A
So
if
I've
got
and
I
can
feel,
that's
come
like
this
and
I've
got
a
coil
that
looks
like
this,
then
that
normal
component
of
the
flux
is
just
one
that's
straight
through,
and
so
the
total
flux
is
just
equal
to
the
area
times
whatever
HS.
But
if
I
orient
this
a
little
bit,
then
I've
got
a
smaller
amount
flux
and
if
I
make
it
like
this,
then
I've
got
no
flux,
that's
coming
in
through
there
at
all.
A
Okay,
so
we've
got
a
loop.
That's
it's
a
transmitter.
It's
providing
a
magnetic
flux
that
goes
through
here,
and
the
value
of
that
flux
depends
upon
that
orientation
of
this
transmitter,
and
this
guy
here
just
to
see
how
okay
one
more
thing
is
that
we
cared
about
the
time
variation
of
that
flux.
So
we
don't
just
care
about
this
guy.
A
We
care
about
how
much
it's
changing
in
time,
because
the
magnetic
field
that's
impending
on
it,
doesn't
do
anything
but
did
I
change
that
then
it's
going
to
cause
some
currents
to
flow,
and
the
thing
that
is
is
important.
Is
that
time
rate
of
change
of
flux
you
circle
is
called
a
voltage
and
that's
just
equal
to
the
this
one
here:
minus
D,
Phi,
B
DT
and
this
minus
sign
here.
Anybody
remember
why
we
where'd
that
came
from
last
time.
A
A
Okay,
just
to
recap
slightly
so
we've
got
a
coil
of
wire,
gives
a
magnetic
field.
Just
like
a
dipole
then,
depending
upon
where
your
target
is
and
how
the
target
is
coupled
with
these
fields,
then
you
get
places
that
the
target
is
not
coupled,
so
the
magnetic
field
is
kind
of
going.
You
know
parallel
to
the
plane
of
so
here
the
magnetic
field
is
coming
down
here.
There's
nothing!
There's
nothing!
A
A
A
Transmitter
gives
rise
to
this
feel
that
comes
out
here.
Part
of
it
goes
onto
the
body,
but
there
could
actually
be
something
that
is
measured
here
at
the
receiver,
in
what
we're
going
to
do.
We're
going
to
subtract
this
primary
field
at
the
receiver,
so
we're
only
going
to
be
looking
at
what
the
secondary
field
is.
That's
the
field
for
here
at
the
receiver
and
the
quantity
that
we're
going
to
be
interested
in
is
how
much
the
secondary
field
is
to
this
target
compared
to
what
the
primary
field.
A
A
So
what
I
want
to
try
to
explain
today
is
why
we
get
this
kind
of
signature
and
the
reason
I
do.
That
is,
if,
if
you
can
understand
at
the
end
of
this
lecture,
why
would
we
take
this
particular
instrument
over
a
pipe
abroad
or
something
like
that
as
we
get
out
something
like
this,
and
you
really
will
have
understood
all
of
the
essential
ingredients
with
respect
to
electromagnetic
induction
or
it
needs
a
lot.
A
A
So
what
we're
going
to
do
is
to
look
at
a
case
like
this.
We've
got
a
buried
pipe
and
we're
going
to
have
a
system
like
this
eeehm
31
that
I
just
talked
about,
and
it's
going
to
go
over
top
of
here
we're
going
to
try
to
sketch
out
yields
and
we're
going
to
end
up
with
something
that
looks
like
this.
A
That
looks
like
this
right,
so
it's
that
magnetic
field
that
we
that
we
have
talking
about
if
we
now
put
on
a
target
in
here,
so
let's
not
make
it
another.
One
here
so
here's
our
transmitter
and
here's
our
target,
so
it's
a
plate
or
some
plates
a
little
bit
easier
to
these
look.
So
imagine,
we've
got
a
vertical
plate
and
now
we've
got
a
magnetic
eel.
That's
coming
in
like
this
it.
So
here's
our
primary
field
and
you
notice
that
this
primary
field
is
coming
into
the
plate.
A
Okay,
so
if
the
primaries
field
is
coming
into
the
play,
then
which
way
is
the
current
going
to
flow
into
place?
So
now
you
imagine,
you
can
imagine
the
plates
like
this
primary
fields
coming
in
like
this,
and
so
there's
gonna
be
a
current.
That's
going
to
be
set
up
in
this
place.
I'm
gonna
go
this
way
or
it's
going
to
go
this
way
so
which
way
is
the
curtain.
A
That's
Lenz's
law,
oh
right,
so
if
I,
if
I
think
about
it,
magnetic
feel
this
that's
coming
in
and
sitting
we're
assuming
it's
increasing,
then
I've
got
to
have
a
current.
That
makes
it
then
going
to
feel
the
close
itself.
So
remember
remember
when
we
did
the
little
magnet
in
the
coil
and
we
shove
it
up
the
magnet
damn.
Well,
we
shoved
it
in.
It
will
be
one
way
to
shut
it
up
or
pull
it
up
the
other
way.
A
A
Okay,
so
here's
now
the
secondary
feel
that
looks
like
looks
like
this
okay.
So
as
long
as
my
transmitter,
so
suppose
my
transmitters
sitting
to
this
side
of
the
plate,
if
I
now
look
to
see
which
way.
Oh
so
my
data
is
H
s
over
H
P
and
if
you
notice
I'm,
plotting
it
as
positive
and
negative.
So
there's
a
question:
okay,
what
determines?
Let's?
My
sign
convention
about
positives
and
negatives,
my
sign
conventions
good
to
go
if
HS
is
in
the
same
direction
as
HP.
A
Okay,
that's
that's
my
convention.
I
get
to
choose
so
now.
Let's
look
at
the
situation
that
that
I've
just
drawn.
If
I've
got
a
transmitter
over
here,
then
my
primary
field
is
coming
down.
Okay,
so
my
primary
field
is
like
this.
So
now,
let's
suppose,
I've
got
a
receiver.
That's
sitting
up
over
here
primary
fields
down
and
now
my
plate.
Look
at
my
plate,
I'm
sitting
over
here.
My
magnetic
field
is
the
secondary
field
is
also
coming
down.
A
A
A
A
A
A
So
here's
actually
the
e/m
31
I-
will
bring
one
in
if
you
can
take
a
look
at
it.
The
the
transmitting
coil
it's
about
10,000
Hertz,
and
this
is
the
same
one-
that
we
used
on
the
expo
site.
I
showed
you
those
data
right
at
the
at
the
beginning
of
this
and
you'll
see
them
later
on,
because
we're
going
to
go
over
and
see
if
we
can't
find
that
contaminated
oil
spill
and
some
wires
and
stuff
like
this.
So
here's
here's
the
thing
it's
about
3
and
1/2
meters.
A
Long
when
both
the
the
transmitter
and
the
receiver
are
on
one
side,
then
the
secondary
we
get
current.
When
the
transmitters
on
this
side,
we
get
currents
that
are
going
in
one
direction
in
this
in
this
plate
and
when
the
receivers
here
then
the
primary
and
the
secondary
field
are
in
the
same
direction
as
the
instrument
gets
over
top
so
that
the
receiver
is
sitting
right
over
here,
then
we
have
a
zero,
a.
A
A
And
then
I
come
across
now
I
got
another
zero
crossings,
but
it's
very
an
entirely
different
physical
basis.
This
guy
is
it's
got
a
zero
because
there's
no
currents
that
are
being
developed
in
here
so
I
got
two
zero
crossings.
First,
the
first
one,
because
it's
null
couple
there's
actually
signal
there.
But
if
my
coil
is
not
orange
in
the
right
direction
to
see
anything,
and
this
one
is
zero,
because
there's
just
no
currents
being
generated.
A
So
that's
the
sketch
of
the
signal
and
as
we
go
through
and
we
over
the
next
sort
of
week
or
so
you're
going
to
become
more
familiar
with
kind
of
what's
going
on
physically
here
and
you
can
expect
probably
on
the
final
exam
I'll
ask
you
some
kind.
You
know
scenario
that
somehow
related
to
this.
So
it's
going
to
be
gonna,
be
thinking
about
transmitter
which
way
the
primary
fields
are
going,
which
way
the
cars
are
going,
which
way
secondary.
A
Because
the
the
thing
about
this
is
not
so
much
understanding
like
okay,
a
tight
curve
should
look
like
this,
because,
if
I
change
the
instrument
moves
that
they
won't
look
like
this.
But
the
point
is:
if
you
can
actually
talk
your
way
through
this,
and
you
see
that
it's
a
lot
of
stuff,
that's
going
on
physically,
you
can
actually
talk
your
way
through
this
and
come
up
with
right
shape.
Then
you
know
you
understand
it.
A
A
A
A
So
this
is
kind
of
two
to
two
parts
that
are
going
on,
so
the
data
are
complex,
but
the
understanding
of
the
data
is
actually
not
so
difficult,
because
what
that
complex
thought
is
this
kind
of
turn
things
into.
What's
called
a
phase
lag,
so
let
me
yeah.
Let
me
try
to
explain
this
so
suppose.
I
got
suppose.
I
got
my
boy,
so
I
got
a
transmitter.
That's
going
like
this
right,
so
it's
oscillate
there,
everything
in
the
field
of
that
transmitter
oscillates
with
that
same
frequency.
A
Then,
oh
and
Omega
3
Omega
is
2
pi
yeah,
so
Omega
s--,
angular
frequency,
so
2
pi
times.
So
this
is
in
Hertz.
This
anger,
30.
Okay.
So
if
I've
got
a
transmitter,
that's
operating
at
some
particular
frequency
and
there's
something
happens
inside
here.
The
current
feels
it
did
come
back.
It
has
to
oscillate
at
the
same
frequency
so
when
I'm
in
receiving
something
I'm
measuring
something
that's
happening
at
the
same
frequency
and
the
only
information
I
get
I
can
get
two
pieces
of
information.
A
A
So
it's
got
some
amplitude,
so
that's
important,
but
the
other
thing
is
that
it's
phase
shifted
so
when
this
hits
a
maximum
so
that
at
the
time
that
this
hits
a
maximum,
which
is
there
this
guy
yo,
it's
not
a
maximum
ez
is
shifted
a
little
bit
and
that
that
phase
shift
here
at
the
flip
side
denotes
how
much
well
do
you
notice
how
much
these
things
are
differ
in
in
phase
okay.
So
what
I'm
gonna
measure?
A
Okay,
is
some
way
it's
got
an
amplitude
and
if
I'm
going
to
represent
my
time
variation,
it's
going
to
have
like
a
cosine,
Omega,
T,
plus
some
kind
of
things
all
right.
So
the
thing
I'm
going
to
measure
is
going
to
be
looking
like
this,
but
this
now
you
can.
You
have
seen
before
and
you
can
take
this
and
you
can
break
that
into
two
parts
right.
So
the
cosine
Omega
T
plus
subside
goes
to
cosine
Omega,
T
coasts,
upside
minus,
sine
Omega,
T,
sine
side,
right,
flipper,.
A
A
So,
what's
this
mean
so
my
my
primary
wait
is
that
traction
is
he's
cosine
over
your
key,
so
he's
going
like
this
right
and
now
I've
got
something
that's
coming
back
and
I
can
decompose
it
into
two
parts.
Part
of
it
is
in
phase
I
can
never
do
this.
Okay,
so
I
got
this
aptitude
here
and
I've
got
this
down
here
he's
coming,
while
he's
he's
in
same
phase
that
just
has
different
allergy.
Okay.
A
A
I'm
gonna
make
it
sound
acute
small
right
all
right,
you
got
it
so
there's
there's
a
certain
amount,
that's
in
phase
and
then
there's
a
certain
amount.
That's
out
of
phase
the
interface
part.
We
give
different
names
to
it.
Sometimes
we
call
it
the
real
part.
Sometimes
we
call
it.
The
in
phase
part
two
names
mean
the
same
thing
and
you'll
see
these
all
the
way
through
the
literature.
So
this
is
this
part
here.
A
A
So
we
got
a
primary
field:
that's
H
sub
P
for
primary
Kosova
T
right,
so
that
tells
us
how
that
one's
also
and
then
we
got
a
secondary
field.
That
looks
the
same
H
s.
So
it's
a
different
altitude,
but
it's
got
a
cosine
Omega
T
plus
subside
so
different
things.
So
if
we
carry
this
guy
out-
and
we
do
that
separation-
we
get
something
like
this
and
then
we're
going
to
divide
it
by
whatever
the
primary
field
was
the
8hp
and
we
get
this
guy
here.
A
A
A
The
crux
of
this
is
that
if
you
have
a
target
and
will
work
with
it,
what
you're
going
to
do
in
the
lab
is
you're
going
to
have
a
transmitter
and
you
can
have
a
target
and
then
you're
going
to
have
it
have
a
receiver.
Yes,
this
target
is
just
a
loop,
it's
just
a
loop
of
wire
and
from
circuit
analysis.
If
that's
these
circles
right,
so
we
we
got
a
battery
and
then
one
of
the
components
that
we
can
have
in
a
circuit,
a.
A
In
the
GPG
there's
a
little
bit
of
explanation
about
how
we
get
there
and
I
might
go
back
and
and
talk
a
bit
more,
but
for
now
I
just
want
kind
of
get
the
the
overall
concept
and
get
the
picture
because
you're
going
to
be
seeing
this
picture
this
afternoon,
so
I
want
to
get
you.
This
fascia
is
equal
to
first
of
all,
PI
by
2
and
then
there's
an
another
terming
here,
which
is
the
arctangent
of
Omega
L
upon
R
Omega.
So
frequency
L
is
the
inductance
and
R
is
the
resistance
okay.
A
So
you
can
think
about
your
target
as
being
a
circuit,
and
it's
just
got
this
L
here
and
ended
arm,
and
the
thing
about
this
is
that
when,
if
R
gets
to
be
really
large,
so
let's
suppose
you
got
a
really
big
resistor,
so
imagine
in
the
ground.
You
know:
there's
just
no
conductor
there
whatsoever.
Okay,
the
resistance
just
goes
to
infinity
and
R
goes
to
infinity.
What
is
what
is
this
guys?
Remember.
Our
cannon
blotchy
R
goes
to
infinity.
What
is
this
argument
in
here?
Zero
Arcanum
zero
is.
A
A
The
in
phase
part
and
the
out
of
phase
part
then
get
plotted
up
in
the
following
manner
because
of
this,
because
it
progressively
shifts-
and
there
there's
a
picture
that
we'll
be
dealing
with
in
which
this
axis
here
is
the
product
effectively
of
Omega
times
Sigma
or
Omega,
divided
by
our
resistance.
So
as
we
get
higher
up
into
frequency,
so
this
is
this,
is
you
can
basically
think
like?
This?
Is
a
good
conductor
really
high
frequency
good
conductor
go
over
here,
and
in
that
case
the.
A
The
phase
shift
gets
up
to
be
five
by
two,
and
we
end
up
with
something
called
the
inductive
limit
here,
where
everything
is,
it
is
in
the
real
part
and
when
we
have
very
low
frequencies
or
poor
conductors.
We
end
up
the
real
part
like
this,
and
this
outer
phase
part
has
this
kind
of
the
signature
that's
attached.
A
So
the
details
about
exactly
how
this
comes
to
being
I
think
is
not
so
important.
It's
just
kind
of
getting
a
sense
of
what
the
response
of
that
of
that
conductor
is,
and
these
two
parts
here,
the
imaginary,
the
out
of
phase
part
and
the
real
part
behaving
something
like
this.
So
as
you
get
to
be,
have
really
good
conductors.
Virtually
all
of
the
information
is
in
that
real
part
when
you
have
intermediate
conductors,
there's
information
both
in
the
out-of-phase
part
and
in
the
real
and
when
you
have
really
poor
conductors.
A
Most
of
the
information
is
in
that
out
of
things
part.
So
how
does
this
translate
back
into
the
flaw?
So
we've
we've
worked
and
we've
got
this
iconic
diagram
here.
So
here's
your
bringing
the
e/m
31
over
top
of
that
pipe
okay,
we
kind
of
figured
out
how
to
do
that.
It's
just
that
now,
we've
got
all
we
got
one
more
detail
to
think
about,
and
that
is
that
actually,
oh
well,
that's
the
shape
when
we
change
something.
We've
actually
got
two
numbers
of
real
and
imaginary
part.
A
A
If
we
look
at
this
particular
diagram
and
if
we've
got
a
really
big
conductor,
it's
a
rope
over
here,
then
the
real
part
is
much
bigger
than
the
imaginary
part,
and
hence
a
signal
that
we
should
see.
If
that's
the
real
part,
then
the
imaginary
it'll
have
a
same
shape
but
it'll
be
really
smaller
amplitude.
A
So
both
things
will
have
the
same
shape,
but
the
amplitude
of
one
versus
the
other
depends
upon
whether
you've
got
a
big
conductor
or
a
small
conductor.
So,
in
the
cases
where
you've
got
a
really
large
conductor,
as
we'll
see
when
we
don't
ever
have
pipes,
then
most
of
the
information
is
actually
going
to
be
in
the
real
part
and
the
signature
is
going
to
look
something.
On
the
other
hand,
if
we
go
to
something
that's
got
a
much
smaller
conductivity,
then
these
things
could
be
reversed.
The
real
part.
A
Okay,
so
where
are
you
gonna
go
this
afternoon
in
the
lab?
You're
gonna
have
an
app
and
you're
gonna,
have
a
circuit
model
and
you're
going
to
cut
the
wave
your
way
through
the
draw
of
that
kind
of
characteristic
curve,
and
then
there's
going
to
be
a
question
about
okay,
if
you've
got
a
big
conductor
or
small
conductor,
you
know
which
of
these
guys
so
yeah
you'll
be
able
to
basically
review
all
of
this
stuff.