Answer to Question #256577 in Electric Circuits for Lyss

Question

A 0.500 meter length of wire with a cross-sectional area of 3.14 x 10-6 meters squared is found to have a resistance of 2.53 x 10-3 ohms. According to the resistivity chart, from what material is the wire made?

Answer 1

$L = 0.5 \;m \\ A = 3.14 \times 10^{-6} \;m^2 \\ R = 2.53 \times 10^{-3} \; \Omega \\ R = \frac{ρL}{A}$

ρ = resistivity of material

$ρ = \frac{RA}{L} \\ = \frac{2.53 \times 10^{-3} \times 3.14 \times 10^{-6}}{0.5} \\ = 15.8884 \times 10^{-9} \; \Omega-m$

According to the resistivity chart resistivity of silver is $15.9 \times 10^{-9} \; \Omega-m$

So, silver was used for formation of wire.