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Homework Help: A conducting wire has a resistivity

  1. Jan 10, 2012 #1
    1. The problem statement, all variables and given/known data

    A conducting wire has a resistivity, ρ as a function of its length, L, given by ρ=(ρ0)(L) where (ρ0) is constant. A is the cross-sectional area of the wire. the resistance of the wire would be
    A) [(ρ0)(L)]/A
    B) (ρ0)/(2A)
    C) [(ρ0)(L)]/(2A)
    D) [2(ρ0)(L^2)]/A
    E) [(ρ0)(L^2)]/(2A)

    2. Relevant equations

    3. The attempt at a solution

    Am I missing something?
  2. jcsd
  3. Jan 10, 2012 #2


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    Re: Resistance!


    For a (very short) length, ΔL, of wire, the resistance, ΔR is given by, [itex]\displaystyle \Delta R=\rho\frac{\Delta L}{A}=\left(\rho_0 \cdot L\right)\frac{\Delta L}{A}\,.[/itex]
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