Question

Is resistivity directly proportional to the resistance?

Answer 1

Resistivity

Resistivity is defined as the amount of resistance per unit length and cross-sectional area. For each substance, it is constant. From one substance to the next, the resistivity varies.

1. There is a direct relationship between resistivity and resistance.
2. Yes, as the resistivity of an object rises, the resistance rises as well. The flow of charges in a conductor is hindered by resistance.
3. The conductor's resistance is proportional to its length and area. Ohms are the unit of measurement.

$Resis\tan ce,R=\rho \left(\frac{L}{A}\right)$

$L=$length of the conductor

$A=$area of the conductor

$\rho =$resistivity

If the length (L) is $1$ meter and area (A) is $m^2$, the resistance equals the resistivity.

Hence, resistivity is directly proportional to the resistance.