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Current Electricity

Question

Calculate the conductivity of a wire of length 2 m, area of cross-section 2 cm² and resistance 10^–4Ω.

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Solution

Given,
Length of the wire, l=2 m
Area of cross section of wire, A= 2 cm²
Resistance of wire, R= 10^-4 Ω

Electrical conductivity,

σ = \frac{1}{ρ} and ρ = \frac{RA}{l} That is, σ = \frac{l}{RA} = \frac{2}{10^{- 4} \times (2 \times 10^{- 4})} = 10^{8} {Sm}^{- 1}