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A wire of length 100cm and cross-sectional area 2.0 × 10-3cm2 has a resistance of...

Physics
NECO 2003

A wire of length 100cm and cross-sectional area 2.0 × 10-3cm2 has a resistance of 0.10 ω. Calculate its electrical conductivity.

  • A. 2.0 × 10-6 ω-1cm-1
  • B. 5.0 × 105 ω-1cm-1
  • C. 2.0 × 106 ω-1cm-1
  • D. 5.0 × 10-6 ω-1cm-1
  • E. 5.0 × 107 ω-1cm-1
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Correct Answer: Option B
Explanation

Electrical conductivity = the reciprocal of resistivity

but resistivity(ρ) = \(\frac{R\times A}{L}\)

 resistivity(ρ)  = \(\frac{ 2.0 \times 10^{-3} \times0.1}{100}\) = 0.000002

electrical conductivity(σ) = \(\frac{1}{ρ}\)

                                     σ  = \(\frac{1}{0.000002} = 500000ω^{-1}cm^{-1}\)

 


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