Question

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 5x10 -7m 2 ? (Please show some work)

Answer 1

Answer:

R =0.672 ohms

Explanation:

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.