Question

Resistance of a metal wire of length 5 m is 100 2. If the area of
cross-section of the wire is 3 x 10-'m, calculate the resistivity of
the metal.​

Answer 1

Answer:

hey mate

plz refer to pic

hope it works

Answer 2

$\huge\star{\green{\underline{\mathfrak{Answer :-}}}}$

${\huge\tt\bf{Given}}\begin{cases}\sf{Resistance=100 \Omega}\\\sf{length\:of\:wire=5\:m}\\ \sf{Area\:of\:cross_section=3\times {10}^{-1}}\end{cases}$

$\huge\tt\bf{To\:Find}:$ Resistivity

$\huge\tt\bf{Solution:-}$

We know that, $\huge\tt{\boxed{\rho=\dfrac{R\times l}{A}}}$

Putting in the values,

$\leadsto\tt{\dfrac{100\times 5}{3 / 10}}$

$\leadsto\tt{\dfrac{5000}{3}}$

$\leadsto\tt{\boxed{\red{1,666.666 \:\Omega\:m}}}$

$\rule{200}2$

Resistivity is the specific resistance of the conductor.

The SI unit is ohm m.

$\rule{200}2$

It depends upon some factors :

• Directly proportional to the length of the conductor
• Indirectly proportional to the area of cross section of the conductor
• On temperature
• The nature of the conductor

$\rule{200}2$