Question 57 of 380

A rectangular parallelopiped is measured as $1cm\times 1cm\times 100cm$. If its specific resistance is $3\times {10}^{-7}\Omega m$, then the resistance between its two opposite rectangular faces will be _____$\times {10}^{-7}\Omega$.

Your answerCheck answer

Show answer and solution▾

Answer: 3

It is given that
$l=1cm=0.01m$
$A=100cm\times 1cm=100{cm}^{2}$
$\Rightarrow A=0.01{m}^{2}$
$\rho =3\times {10}^{-7}\Omega m$
Using the formula of resistance,
$R=\dfrac{\rho l}{A}=\dfrac{3\times {10}^{-7}\times 0.01}{0.01}=3\times {10}^{-7}\Omega$