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Temperature:
Why does a filament give off light?
A light bulb is “turned on” by passing an electric current
through its filament, heating the filament until it is “white
hot.” The high temperature of the filament--up to 3,000oC,
causes it to give off visible light by a process called incandescence.
Incandescence is defined as the emission of visible light
by a hot body. Any hot object gives off incandescent light.
The higher the temperature of the object, the brighter the
light given off. Examples of incandescent objects include
hot coals in a campfire or barbecue grill, the sun, light
bulb filaments and the burners on electric stoves, which glow
dull red when their temperature is on high. Electric stove
burners are just above the minimum incandescence temperature
visible to the human eye, about (390oC).

In describing incandescence, most temperatures are given
in degrees Kelvin (K). The Kelvin temperature scale is directly
related to the Celsius scale given in degrees centigrade (oC)
by:
T (K) =
T (oC) + 273.15
The Fahrenheit temperature scale is also directly related
to the Kelvin scale:
T (K)
= (5/9)T(oF) + 255.37
Use the Interactive Thermometers to explore the relationship
between Kelvin (K), Centigrade (oC) and Farenheit
(oF) scales as water changes from ice to water
to gas. Also investigate the broader Interactive Temperature
Scales which range up to and beyond typical light bulb filament
operating temperatures.
After you have explored the applets, take the
quiz on the right. You can always go back and experiment with
the applets, to answer the questions.
Incandescence:
How Does Temperature Affect Incandescence?
The incandescence of objects at any temperature can be predicted
using Planck's law, which assumes an object is a black body
radiator. A black body radiator emits only its own light and
does not reflect outside light. Planck’s law describes the
energy intensity of all the different colors, or wavelengths
of light, emitted.
Planck's Law:
gives the total energy radiated from the object (
), in watts per square centimeter, as a function of wavelength
( ), in
micrometers ( µm ) and the surface temperature ( T ), in Kelvin.
The color of the light emitted is related to the wavelength
at which the light intensity is greatest, which is given by
Wien’s law (obtained from Planck’s law by differentiation):
Wien’s Law: max
T = 2898
where, max
is the emission wavelength with the greatest intensity and
T is the surface temperature.
Together, these laws predict the light given off by a light
bulb or any incandescent source. Use the interactive incandesent
spectrometer on the right to explore the color/wavelength and intensity
of light given off from any incandescent light source as a
function of it's temperature. The sliding bar controls the
temperature. The intensity of visible light is proportional
to the area under the curve in the visible (colored) region
of the spectrum. The color of the light given off results
from the combined intensity of the various wavelengths of
visible light emitted. The light to the right of the visible
region is in the infrared region of the spectrum. The light
to the left is in the ultraviolet region.
Use the Interactive Incandescent Spectrometer on the right
to explore the relationship between light emission and temperature.
After you have explored the relationship between
temperature and the wavelength, color and intensity of light,
take the quiz on the right. You can always go back to the applet,
to arrive at your answers.
Invent:
What features should a light bulb filament material have?
Using Plank’s law and Wien’s law you can predict the wavelength
and intensity of light emitted by a filament at different
operating temperatures. Since, only light visible to the eye
is useful, the greater the fraction of visible light emitted
by the filament, the more efficient it will be. The largest
fraction of visible light is emitted from a filament operating
at ~5,000 K. More light is emitted at higher temperatures,
but more of it is out of the range of visible light. Inventors
have used these principles to invent and improve incandescent
filaments.
Now take a short quiz on the essential features a filament
material should have.
Invent your own Incandescent Light Bulb
Filament
Many filament materials were pursued to optimize visible
light emission and filament longevity in the race to build
a better incandescent light bulb. Some of the more prominent
materials explored for use in incandescent filaments were
carbon (C), osmium (Os), tantalum (Ta), platinum (Pt) and
tungsten (W).
To optimize the visible light emitted and longevity of a
filament, the material from which it is made must withstand
high temperatures. Two of the most significant failure mechanisms
to be avoided are melting and evaporation, or sublimation,
of the filament.
Use the Filament Tester to explore different
filament materials to see which performs the best. Remember,
the brightness and longevity of the filament are the two crucial
test criteria. Click on any element to see its melting point
and sublimation temperature at 10-3 torr (note that some elements
have already melted before their vapor pressure reaches 10-3
torr, the sublimation point). After clicking on the element,
you can test its melting resistance by increasing the current
in the light bulb filament using the sliding control. Using
the Sublimation Test button you can test the filament's behavior
at its sublimation point (the temperature at which the filament
has a vapor pressure of 10-3 torr). All materials erode/sublime
at the same rate at their sublimation point. At progressively
lower temperatures sublimation resistance improves dramatically.
After you have explored the applet, take the
quiz on the right. You can always go back and experiment with
the applet, to answer the questions.
Why Tungsten?
Why use Tungsten filaments?
The filaments used in early light bulbs were made of carbon.
However, the carbon filament can not survive for long at temperatures
higher than 2,100oC. Carbon vaporizes from the
filament at these temperatures, shortening the life of the
filament. The bulb gives off only dim light at lower filament
temperatures.
Tungsten filaments offer the best combination of high melting
point and low vapor pressure for all known elemental filament
materials. This allows the filament to be heated to higher
temperatures and provide brighter light with good longevity.
However, even tungsten filaments fail.
Now, let's explore why a light bulb filament burns out. By
understanding how tungsten filaments fail, it should be possible
to invent even better filaments and light bulbs.
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