What diameter wire should be used for particular resistance?

AI Thread Summary
To determine the diameter of nichrome wire needed for a resistance of 16.0 ohms over 49 meters at 20 degrees Celsius, the resistance formula R = ρL/A is utilized. The area A can be expressed as A = πd²/4, leading to the rearranged formula d = √(4ρL/πR). The key challenge is obtaining the resistivity (ρ) value for nichrome at the specified temperature. Participants suggest referring to reliable sources, such as Wikipedia, for the resistivity of nichrome. Accurate calculations will depend on this resistivity value to find the correct wire diameter.
Kastner86
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Homework Statement



If 49 m of nichrome wire is to have a resistance of 16.0 ohms at 20 degrees Celcius, what diameter wire should be used?

Homework Equations



R = \rho x L / A

A = \Pi d^2 / 4

The Attempt at a Solution



well i know what I'm looking for, that is d (diameter)

and d = \sqrt{}(4\rhoL/\PiR)

I don't know what the value of \rho is.

I know it is supposed to be the resistivity of the material, at a certain temperature, but I have no idea how to include it in the equation.

Please Help!
 
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