Does Wire Length Affect Resistivity in Electrical Conductors?

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SUMMARY

The discussion centers on the relationship between wire length and resistivity in electrical conductors, specifically using the formula L=Ra/P. A calculation was presented, yielding a result of 72000, which was confirmed as correct. The importance of including units in calculations was emphasized, and a comparison was made to the size of a 6 square centimeter circle to contextualize the dimensions involved.

PREREQUISITES
  • Understanding of electrical resistivity and its formula
  • Familiarity with unit conversions in physics
  • Basic knowledge of geometry related to cross-sectional areas
  • Experience with calculations involving resistance and length of conductors
NEXT STEPS
  • Research the impact of temperature on resistivity in conductors
  • Learn about different materials and their resistivity values
  • Explore the concept of cross-sectional area and its effect on resistance
  • Investigate practical applications of resistivity calculations in electrical engineering
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Electrical engineers, physics students, and anyone interested in the principles of electrical conductivity and resistivity in materials.

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Homework Statement
A length of aluminium wire having a cross-sectional area of 6 cm2 has a resistance of 6 Ω at a given temperature. Given the resistivity of aluminium is 5 x10-8 Ω-m, calculate the length of the wire in meters. (keep two decimal places)
Relevant Equations
R=Pl/A
L=Ra/P
=6x0.0006/5x10^-8
=72000
 
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Your calculation looks correct. The answer should have units on it. What is your question?
If you think it is too big, think about the size of a 6 square centimeter circle (cross section)
 

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