How do you find the resistivity of a wire?
GeneralClass 12AllAnswered 27 Mar 2026
Answer
To find the resistivity of a wire:
Step 1: Measure the wire's resistance (R) using a multimeter Step 2: Measure the wire's length (L) with a ruler or measuring tape Step 3: Measure the wire's diameter (d) using calipers Step 4: Calculate cross-sectional area: A = π(d/2)² Step 5: Calculate resistivity: ρ = RA/L
Example: A copper wire with R = 0.5 Ω, L = 10 m, and diameter 1 mm has A = π(0.0005)² = 7.85 × 10⁻⁷ m², so ρ = (0.5 × 7.85 × 10⁻⁷)/10 = 3.93 × 10⁻⁸ Ω·m
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