Resistivity of tungsten filament

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SUMMARY

The discussion focuses on calculating the diameter of a tungsten filament with a resistance of 0.032 ohms and a length of 1.3 cm. The resistivity of tungsten is given as 5.6e-8 ohms-meter. The formula used for the calculation involves the relationship between resistance, resistivity, length, and cross-sectional area, leading to the conclusion that the diameter of the filament is approximately 0.0001701 meters or 0.1701 mm. The participant initially miscalculated the conversion to millimeters, highlighting the importance of unit conversion in physics problems.

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  • Understanding of electrical resistance and resistivity
  • Familiarity with the formula for calculating resistance (R = resistivity * (Length / Area))
  • Basic knowledge of geometry, specifically the area of a circle (A = πr²)
  • Proficiency in unit conversion, particularly between meters and millimeters
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  • Study the properties and applications of tungsten in electrical components
  • Learn about the implications of resistivity in material selection for electrical engineering
  • Explore advanced calculations involving resistance in series and parallel circuits
  • Investigate the effects of temperature on the resistivity of materials
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Students in physics or electrical engineering, electrical engineers, and anyone interested in material properties and electrical resistance calculations.

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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