How to Find the Potential Difference in a Copper Wire?

johndoe14
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Homework Statement


A current of 1.82A flows through a copper wire 1.75m long and 1.10mm in diameter.
a)find the potential difference between the ends of the wire
b) what diameter of copper wire is needed to be a potential difference of .100V


Homework Equations


I know the resistivity of Cu is 1.68 * 10^-8
the diameter needs to be converted to M


The Attempt at a Solution


I am unsure of how to set the problem up


Can someoe please give detailed steps of how to set this problem up and any conversions or other given factors that ay be needed. I am still waiting on my back ordered book to arrive :(
 
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hi johndoe14! :wink:

potential difference is the same as voltage so use V = IR …

what do you get? :smile:
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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