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q two wires of same material and same length have

Q. Two wires of same material and same length have resistances 5 and 10 respectively. Find the ratio of radii of the two wires.

R = ρl / A = ρl / πr²

R₁ = ρl / A = ρl / π r₁² ; R ₂ = ρl / A = ρl / π r₂²

R₂ / R₁= r₁² / r₂² ∴ r₁ / r₂ = √ R ₂ / √ R ₁ = √10 : √5 = √2 : 1

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