Question

two resistors A and B have resistance RA and RB respectively With RA<RB. the resistivity of their materials are PA and PB then

Answer 1

resistivity of a is less than that of B

Answer 2

$\rho_{A}<\rho_{B}$

Explanation:

Given,

The resistance of A = $R_{A}$ and

The resistance of B = $R_{B}$

We know that,

$R=\dfrac{\rho A}{l}$

Where, $\rho$ is the resistivity of the material,

A is the cross sectional area and

l is the length

According to question,

$R_{A}<R_{B}$

⇒ $\dfrac{\rho_{A} A}{l}<\dfrac{\rho_{B} A}{l}$

⇒ $\rho_{A}<\rho_{B}$

Hence, $\rho_{A}<\rho_{B}$