Resistivity of tungsten filament

AI Thread Summary
The discussion focuses on calculating the diameter of a tungsten filament based on its resistance and resistivity. Given a filament length of 1.3 cm and a resistance of 0.032 ohms, the resistivity of tungsten is noted as 5.6e-8 ohms-meter. The user attempts to solve for the radius using the formula R = resistivity (Length/Area) and arrives at a radius of 8.509e-5 meters. However, a mistake occurs when converting the diameter to millimeters, leading to confusion over the correct unit conversion. The thread concludes with a light-hearted acknowledgment of the common nature of such errors.
rinarez7
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]1. A 1.3 cm length of tungsten filament in a small lightbulb has a resistance of 0.032 ohms. Find its diameter.
Given: Length= 1.3 cm= .013m
R= 0.032 ohms
resistivity= 5.6e-8 ohms*meter



2.
A= pi (r^2)
R= resistivity (Length/ Area)



The Attempt at a Solution


R= resistivity ( Length/ pi* (r^2) )
.032 ohms= (5.6e-8 ohms*meter) * (.o13m/ (pi* (r^2)) )
.032 (pi) (r^2) = 7.28e-10
.100530965 (r^2) = 7.28e-10
r= 8.509e-5
diameter= 2r= 1.701e-4m

It asks for the answer in mm, so I divided my answer by 1000= 1.7 e-7 mm, but it's not correct = (
What am I missing?
Thanks in advance!
 
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1m=1000mm...
 
wow do I feel silly! = / thanks
 
rinarez7 said:
wow do I feel silly! = / thanks

Those things happen to everybody from time to time! :biggrin: And you're welcome!
 
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