1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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
    r=(ρL)/A



    3. The attempt at a solution
    r=[(ρ0)(L^2)]/A

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

    SammyS

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    Re: Resistance!

    Yes.

    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]
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: A conducting wire has a resistivity
  1. Conducting wire (Replies: 1)

  2. Resistivity of a wire. (Replies: 1)

  3. Resistance of a wire (Replies: 3)

Loading...