Answer:
Therefore, the electrical conductivity of the wire is approximately 5.0 * 10^3 S/m.
Step-by-step explanation:
To calculate the electrical conductivity of the wire, we can use the formula:
Electrical conductivity (σ) = (1 / Resistivity)
The resistivity (ρ) can be calculated using the formula:
Resistivity (ρ) = (Resistance x Cross-sectional Area) / Length
Given:
Length (L) = 200 cm
Cross-sectional Area (A) = 2.0 * 10^(-3) cm^2
Resistance (R) = 0.20
First, let's convert the length to meters:
L = 200 cm = 2 meters
Now, let's substitute the values into the resistivity formula:
ρ = (0.20 * 2.0 * 10^(-3)) / 2
ρ = 0.20 * 10^(-3) = 2.0 * 10^(-4)
Finally, we can calculate the electrical conductivity:
σ = 1 / ρ
σ = 1 / (2.0 * 10^(-4))
σ ≈ 5.0 * 10^3 S/m
Therefore, the electrical conductivity of the wire is approximately 5.0 * 10^3 S/m.