A wire 1.0m long and with cross-sectional area 2.0 x 10-7 m2 has a resistance of 0.1\(\Omega\). Calculate the electrical conductivity of the wire
Answer Details
The electrical conductivity of a wire is defined as the inverse of its electrical resistivity, which is given by the formula:
resistivity = (resistance x cross-sectional area) / length
We can rearrange this formula to solve for the conductivity:
conductivity = (length / cross-sectional area) x (1 / resistance)
Substituting the given values, we get:
conductivity = (1.0 m / 2.0 x 10^-7 m^2) x (1 / 0.1 Ω)
= 5.0 x 10^7 Ω^-1 m^-1
Therefore, the electrical conductivity of the wire is 5.0 x 10^7 Ω^-1 m^-1.