Two resistors are made up of same material and same length. If their area of cross section ratio is 2: 11 then calculate the ratio of their resistances.

As the two resistors are made up of the same material which means their resistivity(ρ) are same, they have the same length but the are of the cross-section is different and we are given with its ratio. So we will do this question by finding the resistances and then dividing them both.

Let the area of the cross section for the two wires be 2k and 11k, so,

Now divide R₁ by R₂, we get,

So, therefore R₁:R₂ = 11:2 .