How to Find the Potential Difference in a Copper Wire?

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SUMMARY

The discussion focuses on calculating the potential difference in a copper wire with a current of 1.82A flowing through it. The wire is 1.75m long and has a diameter of 1.10mm. To find the potential difference, the formula V = IR is applied, where V is the potential difference, I is the current, and R is the resistance. Additionally, the resistivity of copper (Cu) is given as 1.68 x 10^-8 ohm-meters, which is essential for calculating resistance using the wire's dimensions.

PREREQUISITES
  • Understanding of Ohm's Law (V = IR)
  • Knowledge of electrical resistivity and its application
  • Ability to convert units, specifically diameter from millimeters to meters
  • Familiarity with resistance calculation using the formula R = ρ(L/A)
NEXT STEPS
  • Calculate the resistance of the copper wire using R = ρ(L/A)
  • Learn about the conversion of wire diameter from millimeters to meters
  • Explore the implications of resistivity on wire performance
  • Investigate how to determine the required diameter for a specific potential difference
USEFUL FOR

Students studying electrical engineering, physics enthusiasts, and anyone involved in electrical circuit design or analysis.

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 :(
 
Physics news on Phys.org
hi johndoe14! :wink:

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

what do you get? :smile:​
 

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