Question

A wire is 1.0m long 0.2 metre in diameter and has a resistance of 10 ohm calculate the resistivity of material

Answer 1

Gudnyt

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We know that,

R = ρL/A

Here it is given that,

Resistance = R = 10Ω

Length = L = 1m

Area of cross-section = A = πr² = π(d/2)²

                                 = 3.14×(0.2/2)² = 3.14 × 0.1² = 3.14 × 0.01 = 3.14 × 10⁻² m²

R = ρL/A

ρ = RA/L

ρ = 10 × 3.14 × 10⁻² / 1

ρ = 3.14 × 10⁻¹

ρ = 0.314 Ω⁻¹

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