Consider a thin square sheet of side $L$ and thickness $t$, made of a material of resistivity $\rho$. The…
Consider a thin square sheet of side $L$ and thickness $t$, made of a material of resistivity $\rho$. The resistance between two opposite faces, shown by the shaded areas in the figure is
directly proportional to $L$
directly proportional to $t$
independent of $L$
independent of $t$
Solution
$R=\frac{\rho(L)}{A}=\frac{\rho L}{t L}=\frac{\rho}{t}$ ie, $R$ is independent of $L$. Hence the correct option is (c).
