Question

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 mangarin

Answer 1

R=ρlAR=ρlA=>A∞ρ=>A∞ρ
if l and R are constant
But ρρ is greater for manganin than copper, therefore manganin wire is thicker than copper wire .

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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