Temperature of a thin bulb filament

In summary, the conversation discusses finding the temperature of a thin bulb filament based on given parameters of length and radius. The answer is determined to be r^(1/4)*L^(-1/2) and the Stefan-Boltzmann law is used to calculate it, while also neglecting ambient temperature. The discussion also mentions the influence of L and r on the radiated power and surface area of the filament.
  • #1
Baibhab Bose
34
3
In my assignment question, the length L and radius r is given and asked to find out how the Temperature of a thin bulb filament which depends on those two parameters. and the answer is r^(1/4)*L^(-1/2). I can't figure out how. Which relation is involved?
 
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  • #2
For constant voltage at ends,
T~r1/4L-1/2
Use Stefan-Boltzmann law and neglect ambient temperature.
 
  • #3
trurle said:
For constant voltage at ends,
T~r1/4L-1/2
Use Stefan-Boltzmann law and neglect ambient temperature.
I still can't get this. Stefan Boltzmann law states only Power radiated= σT^4. But where do we get the L and r?
 
  • #4
Baibhab Bose said:
I still can't get this. Stefan Boltzmann law states only Power radiated= σT^4. But where do we get the L and r?
L and R affect both radiated power (by Joule-Lenz law) and surface area of filament which affect radiated power density
 
  • #5
Okay! Got it! Thank you so much!
 
  • #6
This question should have been asked in the homework forum. Filling out the homework template would have been useful.

Thread closed,
 

1. What is the temperature of a thin bulb filament?

The temperature of a thin bulb filament can vary depending on the type of bulb and the wattage. However, on average, the temperature can range from 2,500 to 3,000 degrees Celsius.

2. How is the temperature of a thin bulb filament measured?

The temperature of a thin bulb filament is typically measured using a thermocouple or an infrared thermometer. These devices can accurately measure the temperature without touching the filament, which could affect the reading.

3. What factors can affect the temperature of a thin bulb filament?

The temperature of a thin bulb filament can be affected by the wattage of the bulb, the type of gas inside the bulb, and the ambient temperature. Other factors such as the thickness and material of the filament can also play a role.

4. Can the temperature of a thin bulb filament be controlled?

Yes, the temperature of a thin bulb filament can be controlled by adjusting the voltage and wattage of the bulb. A lower voltage and wattage will result in a lower temperature, while a higher voltage and wattage will result in a higher temperature.

5. What are the potential dangers of a high temperature thin bulb filament?

A high temperature thin bulb filament can pose a fire hazard if it comes into contact with flammable materials. It can also cause burns if touched, and the heat can potentially damage the surrounding components of the bulb or fixture. It is important to handle and use high temperature bulbs with caution.

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