Two wires one of copper and other of manganin

Asked by admin @ 13/08/2021 in Science viewed by 309 People

two wires,one of copper and other of manganin, have equal lengths and equal resistances.Which wire is thicker ?Given that resistivity of copper is lower than that of manganin

Answered by admin @ 13/08/2021

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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