Q. 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
A) Directly proportional to $L$
B) Directly proportional to $t$
C) Independent of $L$
D) Independent of $t$
Explanation
(c) $R = \frac{\rho(L)}{A} = \frac{\rho L}{tL} = \frac{\rho}{t}$
$ie,\ R$ is independent of $L.$
Hence the correct option is (c).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.