What is the resistance of a 6.0 m long gold wire (ρgold = 5.6 x 10 -8 Ω-m) whose cross-sectional area is 5×10 -7m 2 ? (Please show some work)


  1. Answer:

    R =0.672 ohms


    We have,

    Length of a gold wire is 6 m

    Resistivity of gold is 5.6\times 10^{-8}\ \Omega-m

    Area of cross section of the wire is 5\times 10^{-7}\ m^2

    The resistance of a wire is given by the relation as follows :

    R=\rho\dfrac{l}{A}\\\\R=5.6\times 10^{-8}\times \dfrac{6}{5\times 10^{-7}}\\\\R=0.672\ \Omega

    So, the resistance of the gold wire is 0.672 ohms.

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