Follow this simple step-by-step guide to solve the textbook problem. This guide will show you how to
identify your given variables and solve for Resistivity, Conductance, and Conductivity.
1
Identify & Input Given Values
Read the question to locate the parameters:
• Length (L) = 10 m
• Resistance (R) = 2 Ω
• Area (A) = 2 × 10⁻⁷ m² (which is
written as 2e-7 or 0.0000002)
Type these manual values into the inputs on the
left.
2
Calculate Resistivity (ρ)
Resistivity measures how much the material itself resists current.
Formula: ρ = (Resistance × Area) / Length
Calculation: (2 Ω × 2 × 10⁻⁷ m²) / 10 m = 4 × 10⁻⁸ Ω·m
3
Calculate Conductance (G)
Conductance is the opposite of resistance—it measures how easily electricity
flows.
Formula: G = 1 / Resistance
Calculation: 1 / 2 Ω = 0.5 mho (or Siemens)
4
Calculate Conductivity (σ)
Conductivity measures the material's natural ability to conduct electricity.
Formula: σ = 1 / Resistivity (ρ)
Calculation: 1 / (4 × 10⁻⁸ Ω·m) = 0.25 × 10⁸ mho m⁻¹