Calculate the resistance per meter

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SUMMARY

The resistance per meter of a constant wire with a diameter of 1.25 mm and a resistivity of 5 x 10-7 Ωm is calculated using the formula R = ρL/A. The cross-sectional area (A) of the wire is determined to be 1.2 x 10-6 m2. By substituting the values into the formula, one can derive the resistance per unit length, confirming the relationship between resistivity, length, and area in electrical resistance calculations.

PREREQUISITES
  • Understanding of electrical resistance and Ohm's Law
  • Familiarity with the concept of resistivity
  • Basic knowledge of geometry for calculating area
  • Ability to manipulate scientific notation
NEXT STEPS
  • Learn about the relationship between resistivity and temperature in conductors
  • Explore the derivation of the resistance formula R = ρL/A in detail
  • Investigate the impact of wire diameter on electrical resistance
  • Study practical applications of resistance calculations in circuit design
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Students studying electrical engineering, physics enthusiasts, and professionals involved in circuit design and analysis will benefit from this discussion.

looi76
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Homework Statement



Calculate the resistance per meter at room temperature of a constant wire if diameter 1.25mm. The resistivity of constant a at room temperature is 5x10^-7\Omega{m}

Homework Equations



I'm not sure, but I think this is the right formula:
R = \frac{Pl}{A}

The Attempt at a Solution



Area = \pi \times \left(\frac{1.25 \times 10^{-3}}{2}\right)^2
A = 1.2 \times 10^{-6} m^2

What is Pl?
 
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P is the resistivity and L is the length of the wire, so you are really solving for R/L
 

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