Thermal radiation lab experiment

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SUMMARY

The forum discussion centers on a thermal radiation lab experiment aimed at verifying the Stefan-Boltzmann law using a pyrometer to measure filament temperature as a function of input power. The experiment involves plotting power (P) against temperature to derive the Stefan-Boltzmann constant. Key questions raised include whether to measure the surface area of the bulb or the filament and if input power can be equated to radiated power (P). The consensus is that the surface area of the filament is relevant for the experiment.

PREREQUISITES
  • Understanding of the Stefan-Boltzmann law and its formula P=AσT^4.
  • Familiarity with pyrometers for temperature measurement.
  • Knowledge of electrical measurements using a multimeter.
  • Basic concepts of thermal radiation and its properties.
NEXT STEPS
  • Research the application of the Stefan-Boltzmann law in practical experiments.
  • Learn about the calibration and use of pyrometers in thermal measurements.
  • Explore methods for accurately measuring the surface area of filament materials.
  • Investigate the relationship between input power and radiated power in thermal systems.
USEFUL FOR

Physics students, laboratory technicians, and educators involved in thermal radiation experiments and those seeking to understand the principles of the Stefan-Boltzmann law.

subzero0137
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Hi,

I have to plan and carry out an experiment on thermal radiation as part of my physics lab module. The description of the experiment is as follows: Investigate the radiation from a bulb filament as a function of input power, using a pyrometer to measure the temperature of the filament.

I'm guessing the purpose of this experiment is to verify the Stefan-Boltzmann law, which states that P=AσT^4 where P is the power radiated from the object, A is the surface area of the object (filament or light bulb?) and T is its temperature in Kelvin, and σ is the Stefan-Boltzmann constant. So, plotting P against T^4, and dividing the gradient of the resultant graph by A should give me a value close to Stefan's constant. But I have 2 questions:

1) Should I measure the surface area of the bulb, or the filament?
2) Can I assume input power = P, so that I can calculate the values of P using a multimeter in a circuit?

Any ideas would be appreciated.
 
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subzero0137 said:
1) Should I measure the surface area of the bulb, or the filament?
If you kept the filament the same but made the bulb ten times the diameter, would the power from it change?
2) Can I assume input power = P, so that I can calculate the values of P using a multimeter in a circuit?
Seems fair.
 
haruspex said:
If you kept the filament the same but made the bulb ten times the diameter, would the power from it change?

I don't think it would.
 
subzero0137 said:
I don't think it would.
Right, so which area matters?
 
haruspex said:
Right, so which area matters?

The surface area of the filament.
 
subzero0137 said:
The surface area of the filament.

Yes.
 
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