Question

What are the factors on which the resistance of conductor depends give the corresponding relation?

Answer 1

it depends inversely on temperature,depends directly on length and area of cross section,nature of material:-conductor or insulator or semiconductor.
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Answer 2

Heya!!!

Firstly,

Resistance is the property of a conductor to resist the flow of charges. It depends on :-

(1) Length of the conductor - Resistance of a conductor is directly proportional to it's length, i.e. if the length of a conductor increases, it's resistance also increases.

R ∝ l -------------- 1

(2) Area of the cross - section of a conductor - Resistance of a conductor is inversely proportional to it's area of the cross - section, i.e. if the area of a conductor increases, it's resistance decreases.

R ∝ I / A ------------- 2

(3) Temperature - Higher the temperature is, higher will be the resistance.

(4) Nature of material of the conductor.

Now,

From 1 and 2, we get,

R ∝ l / A

we know, when we remove the sign of proportionality, we replace it with a constant and here it is rho (ρ)

⇒ R = ρ l / A,

where ρ is the constant of proportionality which is the characteristic property of any conductor whose S.I. unit is ohm meter.

Thanks !!!