What is the resistivity of a copper wire with given dimensions and length?

In summary, the resistivity of a copper wire with given dimensions and length can be calculated using the formula R = (ρ * L)/A, where R is the resistance, ρ is the resistivity of copper (1.68 x 10^-8 Ωm), L is the length of the wire, and A is the cross-sectional area. The resistivity of a copper wire is dependent on its temperature, but for most practical purposes, it remains constant. Therefore, the resistivity of a copper wire can be easily determined by knowing its dimensions and length.
  • #1
freddy13
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Homework Statement



A number 12 copper wire has a diameter of 2.053mm. Calculate the resistance of a 31m long piece of such wire. Use rho=1.72x10-8 Ohm-m for the resistivity of copper.

Homework Equations



This is the part that I am unsure of, all of my equations for resistivity do not really have anything along the lines of the given constants, nor can I see where one is derived. If it needs to be derived from something else, please post where you get it from so I can figure it out!
 
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  • #2
freddy13 said:

Homework Statement



A number 12 copper wire has a diameter of 2.053mm. Calculate the resistance of a 31m long piece of such wire. Use rho=1.72x10-8 Ohm-m for the resistivity of copper.

Homework Equations



This is the part that I am unsure of, all of my equations for resistivity do not really have anything along the lines of the given constants, nor can I see where one is derived. If it needs to be derived from something else, please post where you get it from so I can figure it out!

You have a uniform cross section. Look here. http://en.wikipedia.org/wiki/Electrical_resistivity_and_conductivity
 
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