Question

resistance of a metal wire of length 1m is 2 ohm. if the radius is 0.15mm, calculate the resistivity of the material

plss answer me soon​

Answer 1

$\large \underline \bold{ \underline{ \: Given : \: \: \: }}$

$\to$ Length = 1 m

$\to$ Resistance = 2 Ohm

$\to$ Radius = 0.15 mm

$\to$ Radius = $\bold{0.15 \times {10}^{ - 3} \: m}$

$\large \underline{ \bold{ \underline{ \: Solution : \: \: \: }}}$

$\to \bold{Area = \pi {(R)}^{2} }$

$\to \bold{Area = 3.14 × {(0.15 × {10}^{ - 3} )}^{2} }$

$\to \bold{Area = 7.065 × {10}^{ - 8} \: \: m }$

We have to find Resistivity , So

$\fbox{ \fbox{ \bold{Resistivity = \frac{ \: R \times A \: }{ \: L \: } }}}$

$\to \bold{Resistivity = \frac{2 \times 7.065 \times {10}^{ - 8} }{1} }\\ \\ \to \bold{Resistivity = 14.13 \times {10}^{ - 8} \: ohm \: meter}$