Question

find the resistance of a metallic wire having a length 10m and area of cross section 16m sq with a resistivity 1.64×10 to the power -8 ohm m​

Answer 1

$\huge\text{\underline{Answer}}$

$\sf{\underline{Given}}$

Length of wire = 10 m

Area of cross section 16 m sq.

Resistivity = $\bold{ 1.64 \times {10}^{ - 8} ohm m}$

$\huge\sf{solution:}$

by using reistivity formula

$\boxed{ r = P \frac{l}{A} }$

$\implies$ $\bold{r = 1.64 \times {10}^{ - 8} \times \frac{10}{16} }$

$\implies$ $\bold{R = \frac{164}{16} \times {10}^{ - 9} }$

$\implies$ $\bold{r = 10.25 \times {10}^{ - 9} ohm}$

Hence, the resistance of wire is $\bold{r = 10.25 \times {10}^{ - 9} ohm}$