Can you match each picture in the figure
above with the energy transport process it illustrates
best? You'll find the answers at the end of today's
notes.
At last, It's time to tackle electromagnetic
(EM) radiation
First we need to
review a couple of rules concerning static
electricity and learn something about electric
field arrows. The static electricity rules
are found at the top of p. 59 in the photocopied ClassNotes
Two electrical charges with the same polarity push each
other apart. Opposite charges are attracted to each
other.
There's a demonstration of these static electricity rules
that I would like to be able to show you. I haven't
been able to get it to work very well however. The
demonstration involves a Van de Graaff generator, something
that produces a lot of electric charge and high
voltage. A wire connects the dome of the generator to
a small wand used to blow bubbles. Because of the
connection to the generator the bubbles are positively
charged. As they drift toward the dome of the
generator the positive charge repels them and they move
away.
One of the big problems I've been having is with the
bubbles. They don't last very long and sink to
quickly. While I haven't been able to get the
demonstration working very well I did find a video
that you can watch and see how things should work.
Now the concept that we will be using, electric field
arrows. Electric field arrows (or just the E field)
show you the direction and give you an idea of the strength
of the electrical force that would be exerted on a positive
charge located at that point.
In this figure (p. 59 in
the ClassNotes) a positive charge has been placed at 3
locations around a center charge. The electric
field arrow shows the direction of the force that would
be exerted on each of the charges. The force arrow
is shown in blue. The forces range from weak to
strong depending on the distance between the two
charges.
The E field arrows tell you what will happen to a + charge. but
you can use the arrows to determine what will happen to
a -
charge also.
For a negative charge the force will point in a
direction opposite the E field arrow.
Finally a couple of questions to test your understanding,
neither of these questions was
shown in class.
What is the direction of
the electric field arrow at Point X halfway between a +
and a - charge?
The second question has two parts. First you need
to determine what polarity of charge must be on ground
to cause the charges in the figure below to move as they
are doing. Then what direction does the electric
field arrow point at a location just above the ground
where the two charges are found.
You'll find the answers
to both questions at the end of today's notes.
Now we'll use what we know about electric fields to start
to understand electromagnetic radiation.
An electric field arrow
shows
the direction and
gives
an idea of the strength
of the
electrical force
that
would be exerted on a positive charge
You'll find most of the following on p. 60 in the
photocopied ClassNotes.
We imagine turning on a source of EM radiation and then a
very short time later we take a snapshot. In that time
the EM radiation has traveled to the right (at the speed of
light). The EM radiation is a wavy pattern of electric
and magnetic field arrows. We'll ignore
the magnetic field lines. The E field lines sometimes
point up, sometimes down. The pattern of electric
field arrows repeats itself.
Textbooks often represent
EM radiation with a wavy line like shown above. They don't
usually explain what the wavy line represents.
The wavy line just connects the tips of a bunch of
electric field arrows.
Note the + charge
near the right side of the picture. At the time this
picture was taken the EM radiation exerts a fairly strong
upward force on the + charge (we use the E field arrow at the
location of the +
charge to determine the direction and strength of the force
exerted on the +
charge).
Th picture above was taken a
short time after the first snapshot aftere the radiation had
traveled a little further to the right. The EM
radiation now exerts a somewhat weaker downward force on the
+ charge.
A 3rd snapshot taken a short
time later. The +
charge is now being pushed upward again.
A movie of the + charge,
rather than just a series of snapshots, would show the
charge bobbing up and down much like a swimmer in the ocean
would do as waves passed by.
The wavy pattern used to
depict EM radiation can be described spatially (what
you would see in a snapshot) in terms of its wavelength, the
distance between identical points on the pattern.
Or you can describe the radiation temporally using
the frequency of oscillation (number of up and down cycles
completed by an oscillating charge per second). By
temporally we mean you look at one particular fixed point and
look at how things change with time.
EM radiation can be created
when you cause a charge to move up and down. If
you move a charge up and down slowly (upper left in the
figure above) you would produce long wavelength radiation
that would propagate out to the right at the speed of
light. If you move the charge up and down more rapidly
you produce short wavelength radiation that propagates at
the same speed.
Once the EM radiation encounters the charges at the right
side of the figure above the EM radiation causes those
charges to oscillate up and down. In the case of the
long wavelength radiation the charge at right oscillates
slowly. This is low frequency and low energy
motion. The short wavelength causes the charge at
right to oscillate more rapidly - high frequency and high
energy.
These three characteristics: long wavelength / low
frequency / low energy go together. So do short wavelength /
high frequency / high energy. Note that the two
different types of radiation both propagate at the same
speed.
The
following figure illustrates how energy can be
transported from one place to another (even through
empty space) in the form of electromagnetic (EM)
radiation.
You add energy when you
cause an electrical charge to move up and down and create
the EM radiation (top left).
In the middle figure, the EM
radiation that is produced then travels out to the right (it
could be through empty space or through something like the
atmosphere).
Once the EM radiation encounters an electrical charge at
another location (bottom right), the energy reappears as the
radiation causes the charge to move. Energy has been
transported from left to right.
This is really just a partial list of some of the different
types of EM radiation. In the top list, shortwave length
and high energy forms of EM radiation are on the left (gamma
rays and X-rays for example). Microwaves and radiowaves
are longer wavelength, lower energy forms of EM radiation.
We will mostly be concerned with just ultraviolet light
(UV), visible light (VIS), and infrared light (IR). Note
the micrometer (millionths of a meter) units used for
wavelength for these kinds of light. The visible portion of
the spectrum falls between 0.4 and 0.7 micrometers.
UV and IR light are both invisible. All of the
vivid colors shown above are just EM radiation with slightly
different wavelengths. When you see all of these colors
mixed together, you see white light.
Here are the answers to several questions embedded in
today's notes.
#1
Fig. A. The wind should make you
think wind chill which is energy transport by
convection.
Fig. B. You can only survive about 30 minutes in 40
F water like might be happening here. Water
transports energy away from your body by conduction so
quickly that your body can't replace it. Note latent
heat energy transport isn't involved here because there
isn't a phase change.
Fig. C. It might be a little hard to tell but this
person is sweating. Some of the sweat is dripping
but the rest is evaporating. The evaporation takes
energy from your body and cools you. So latent heat
energy transport is involved here.
#2
To answer the first question we imagine placing a +
charge at Point X.
The center charge will be repelled by the charge on the
left and attracted to the charge on the right. The
center charge would move toward the right.
The electric field arrow shows the direction of the
force on the center charge. The electric field arrow
should point toward the right.
#3
The ground can be either negatively or positively
charged. If the ground were negatively charged the
positive charge would be attracted to the ground and
the negative charge repelled and pushed
upward. That's not what is happening. So the
ground must be positively charged.
The positive charge is creating the force that causes
the positive charge to move upward. So that too must
be direction that the electric field arrow is pointing.