how does the resistivity vary with the length of the conductor
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Explanation:
As we have formula for Resistance i,e
R = ρ x L/A
where R = Resistance of conductor
ρ = Resistivity of the Material of conductor ( every element has a fixed value of resistivity for example SILVER has Resistivity of 1.59 x 10-^8 ohm m)
L = Length of Conductor
A = Area of cross-section of Conductor
so, if we write above equation in terms of Length we will get.
L = (R x A)/ρ
L is directly proportional to the AREA and RESISTANCE , Resistivity is a value which is independent of the physical shape and size of the Conductor , only Resistance very with change in shape and size .
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