How Hot Does a Flashlight Bulb's Filament Get When Turned On?

AI Thread Summary
A common flashlight bulb operates at 0.3 A and 3.3 V, resulting in a resistance of 11 Ohms when turned on. The discussion revolves around estimating the temperature of the tungsten filament, which has a room temperature resistance of 1.10 Ohms and a temperature coefficient of resistivity of 4.5e-3. Participants express confusion regarding the units of the coefficient and how to relate changes in resistance to temperature changes. There is also a conversation about the current use of "V" for electromotive force instead of the traditional "E," reflecting a shift in educational practices. Understanding the relationship between resistance and temperature is crucial for solving the problem effectively.
JJones_86
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Homework Statement



A common flashlight bulb is rated at 0.3 A and 3.3 V (the values of current and voltage under operating conditions). If the resistance of the bulb's tungsten filament at room temperature (20.0 degrees Celsius) is 1.10 Ohms , estimate the temperature of the tungsten filament when the bulb is turned on.

Take the temperature coefficient of resitivity for tungsten to be 4.5e10-3

Homework Equations



R = V/I

The Attempt at a Solution


R = 3.3V / 0.3A = 11 Ohms when turned on

Little lost on how to find the temperature when turned on.
 
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What are the units on that coefficient of resistivity? Perhaps we can make up a formula relating it to temperature and resistance.
 
I'm curious about a custom I see universally in this forum. It's been quite a few years since I was in school and I wonder if this custom indicates a change in the way EE is being taught nowadays. Traditionally E instead of V has been used to represent electromotive force just as I represents current instead of A. In the past a distinction has been made between the unit of electromotive force and its designator.

Are instructors and textbooks now using V for electromotive force?
 
How much does the resistance of the filament change?

With that Δ in resistance perhaps you can figure the Δ in temp needed to develop that much resistance?
 
Traditionally E instead of V has been used to represent electromotive force
I remember that, Skeptic! I've been in high school for 30 years and all our books and government exams just used V for electric potential, which is a bit confusing leading inevitably to saying "Voltage" instead of "potential". But P and E are busy already so V is a relief.
 
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