What are the factors on which the resistance of a conductor depends?

The resistance (R) of a conductor,

1. is directly proportional to its length (l). i.e., R ∝ l
   
   
2. is inversely proportional to its cross-sectional area (A). i.e., \(R\propto\frac1A\)
   
   
3. The resistance of the conductor depends upon the nature of the material.
   
   
4. It changes with the temperature (T)

The corresponding relation which gives the relationship among the above-mentioned factors is given by: \(R=\rho\frac lA\). where,

ρ is the resistivity (or the specific resistance) of the conductor.

Moreover, if α be the temperature coefficient of the material of the wire, then the resistance of the wire at t₂° C is given by \(R_2=R_1\left[1+\alpha\left(t_2-t_1\right)\right]\)

Where R1 is the resistance of the wire at t₁° C.

Hence: l, A, ρ, α, are the factors on which the resistance of a conductor depends.