Calculate Resistance of 43m Copper Wire

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To calculate the resistance of a 43m long number 16 copper wire with a diameter of 1.291mm, the resistance formula R = ρl/A is used, where ρ is the resistivity of copper at 1.72x10^-8 Ohm-m. The area A can be determined using the formula for the area of a circle, A = πr², or A = πd²/4, where d is the diameter. With the diameter provided, users can easily compute the cross-sectional area. Once A is calculated, substituting the values into the resistance formula will yield the final resistance in ohms.
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Homework Statement


A number 16 copper wire has a diameter of 1.291mm. Calculate the resistance of a 43m long piece of such wire. Use rho=1.72x10-8 Ohm-m for the resistivity of copper. Use units of "ohm".


Homework Equations


R=pl/A
rho is the same thing as the p


The Attempt at a Solution


I just don't know the equation for find A. if you can help me with that then this should be simple since both p and l are given as well as d.
 
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Hi shimizua! :smile:
shimizua said:
A number 16 copper wire has a diameter of 1.291mm.
…
I just don't know the equation for find A.

The question gives the diameter, so you can assume that the cross-section is circular, and use A = πr2 (= πd2/4). :wink:
 

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