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

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SUMMARY

The resistance of a number 12 copper wire with a diameter of 2.053 mm and a length of 31 m can be calculated using the formula R = ρ(L/A), where ρ (resistivity) is 1.72 x 10-8 Ohm-m. The cross-sectional area (A) of the wire is derived from its diameter, allowing for the calculation of resistance. This discussion emphasizes the importance of understanding resistivity and the derivation of resistance equations in electrical engineering.

PREREQUISITES
  • Understanding of electrical resistance and Ohm's Law
  • Familiarity with the formula R = ρ(L/A)
  • Knowledge of cross-sectional area calculations for circular wires
  • Basic concepts of electrical resistivity and conductivity
NEXT STEPS
  • Learn how to calculate the cross-sectional area of circular wires
  • Study the derivation of the resistance formula R = ρ(L/A)
  • Explore the properties of different materials' resistivity
  • Investigate the impact of temperature on the resistivity of copper
USEFUL FOR

Electrical engineering students, physics learners, and professionals involved in wiring and circuit design will benefit from this discussion.

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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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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