Two copper wires of length 50 cm and 75 cm have diameters of 1mm and 1.25 mm respectively. Which one has higher resistivity?
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Two copper wires of length 50 cm and 75 cm have diameters of 1mm and 1.25 mm respectively. Which one has higher resistivity?
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Answer:
both copper wires have different resistance but equal resistivity as resistivity is a property of the material
Explanation:
resistance R1 = 0.8 Ω and R2 = 1.5 Ω .
R1 = ρ1 ×( L1 / A1 ) = 0.8 Ω .......................(1)
R2 = ρ2 ×( L2 / A2 ) = 1.5 Ω ......................(2)
where ρ, L and A are respective resistivity, Length and area of crosssection.
hence, ( ρ1 / ρ2 ) = (0.8/1.5)×(L2 / L1 )×(A1 /A2) = (0.8/1.5)×(75 / 50 )×(4 /1) = 3.2