Resistance is known. Length of wire?

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SUMMARY

The resistance of a 10 AWG Solid Copper wire is confirmed to be 2 ohms. The correct length of the wire, based on the established formula R = ρ × l / a, is 608 meters. Initial calculations led to confusion due to incorrect multiple-choice answers provided by the professor. The formula used for resistance calculations is validated, and the resistivity and area were correctly applied.

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  • Understanding of electrical resistance and Ohm's Law
  • Familiarity with wire gauge standards, specifically 10 AWG
  • Knowledge of resistivity and its application in calculations
  • Basic proficiency in algebraic manipulation of formulas
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  • Research the properties of 10 AWG Solid Copper wire
  • Learn about resistivity values for different materials
  • Explore the concept of circular mils and its relevance in wire area calculations
  • Study advanced applications of Ohm's Law in electrical engineering
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Electrical engineers, students studying circuit theory, and anyone involved in electrical wiring and resistance calculations.

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1. A 10 AWG Solid Copper wire has a resistance of 2 ohms. The wire length is?



2.Resistance = Resistivity x (Length/(V/L)) = Resistivity x (L^2/V).



3. 60.8 feet 60.8 m 6.1 m 200 inches are my possible answers

No matter what math I do. . .I can not reach any of the possible multiple choice answers. So my formula or math is wrong somewhere. Can someone please help me.
 
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The formula is correct. How did you calculate V?
 
The formula I used is: R = p X l / a

R = resistance of conductor, in ohms
p = resistivity of conducting material
l = length of conductor, in feet
a = area of conductor, in circular mils

Turns out the formula is correct. The professor listed the wrong possibilities for l. I just received the email from her confirming the error. Turns out that l = 608 meters. Thank you very much for your help.
 

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