Question

A cylinder of materials is 10 cm nd has a cross section of 2 cm. if it's resistance along the length be 20 ohm .what will be it's resistivity in number nd units

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

= 0.04 ohm - m

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given:-

Length of cylinder , L = 10 cm  

And Area = 2 cm²  

Resistance = 20 ohm = 20 Ω  

To Find :-

Resistivity

Formula to be used :-

$R=p\frac{L}{A}$

Solution:-

Here p = resistivity

⇒ $R=p\frac{L}{A}$

⇒ $p=R\frac{A}{L}$

⇒ $p=20\frac{2}{10}$

⇒ $p=4 \ ohm-cm = 0.04 \ ohm-m$

Hence, The required resistivity is 0.04 ohm - m.