Calculate the area of cross section of a wire if its length is 1.0 m, its resistance is 23Ω and the resistivity of the material of the wire is 1.84 x 10-6 Ωm.
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R = p × l/A
- p = resistivity
- l = length
- A = Cross section area
Given:
- p = 1.84 × 10^(-6)
- l = 1 m
- R = 23
Solution
→ 23 Ω = 1.84 × 10^(-6) × 1/A
→ 23 = [1.84 × 10^(-6)]/A
→ A = 1.84 × 10^(-6)/23
→ A = 0.08 × 10^(-6)
→ A = 8 × 10^(-8)
Hence cross section area of wire is 8 × 10^(- 8).
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