The resistance of a wire of length 100 cm and uniform area of cross-section 0.020 sq.cm, is found to be 2.0 ohm. Calculate specifi

The resistance of a wire of length 100 cm and uniform area of cross-section 0.020 sq.cm, is found to be 2.0 ohm. Calculate specific resistance of wire.

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  1. Answer :-

    Specific resistance/resistivity of the wire is 4 × 10⁶ Ωm .

    Explanation :-

    We have :-

    → Length of the wire = 100 cm = 1 m

    → Area of cross section = 0.02 cm²

    → Resistance = 2 Ω

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    Firstly, let’s convert the area of cross section of the wire from cm² to .

    ⇒ 1 cm² = 10⁻⁴ m²

    ⇒ 0.02 cm² = 0.02 × 10⁻⁴ m²

    ⇒ 2 × 10⁻⁶ m²

    ________________________________

    Now, we know that :-

    R = ρl/A

    Where :-

    R is resistance.

    ρ is specific resistance.

    l is length of the wire.

    A is area of cross section.

    Substituting values, we get :-

    ⇒ 2 = (ρ × 1)/2 × 10⁻⁶

    ⇒ ρ = 2 × 2 × 10⁻⁶

    ρ = 4 × 10 Ωm

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