Question

Two wires, one of copper and other of manganin, have equal area of cross section and equal resistance. Which wire is thicker? Given thet resistivity of copper in less than that of manganin.

Answer 1

if resistivity of copper is less than manganin then thicker wire is of copper

Answer 2

We know that resistance of a wire is given as,

R = ρL/A

let the resistivity and area of copper wire is ρ₁ and A₁

and let the resistivity and area of manganin wire is ρ₂ and A₂

since resistance and length of both the wires are equal,

=> ρ₁/A₁ = ρ₂/A₂

=> A₁/A₂ = ρ₁/ρ₂

since ρ₁<ρ₂

=> A₁<A₂

hence manganin wire will be more thicker.

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