Calculating Resistivity and Resistance: Solving for Unknowns

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SUMMARY

The discussion focuses on calculating the overall resistance of two wires in parallel using the formula R = pL/A, where R is resistance, p is resistivity, L is length, and A is cross-sectional area. The problem involves two wires: one with length 2b and the other with length b, both connecting points X and Y. The participants agree that the problem should explicitly state the presence of two resistances in parallel for clarity.

PREREQUISITES
  • Understanding of electrical resistance and resistivity concepts
  • Familiarity with the formula R = pL/A
  • Knowledge of parallel resistor calculations
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the principles of parallel resistor combinations
  • Learn about the implications of resistivity in different materials
  • Explore practical applications of resistance calculations in electrical engineering
  • Review examples of similar problems involving resistors in parallel
USEFUL FOR

Students studying electrical engineering, educators teaching circuit analysis, and anyone interested in understanding the principles of resistivity and resistance in electrical circuits.

Jaymo3141
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Homework Statement





Homework Equations


R=pL/A


The Attempt at a Solution



The answer is C and I don't know why. If R = pL/A then isn't L=b between X and Y?
 

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There are 2 wires running from X to Y. These wires are in parallel. One is of length 2b, and the other is of length b. You need to find the overall resistance of these two resistors in parallel.

I don't think that this problem is stated very well. I think it should state outright that there are two resistances in parallel.
 
that makes sense. thank you
 

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