Question

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

Answer 1

Answer: (C)

independent of L

Answer 2

$R=\frac{\rho(L)}{A}=\frac{\rho L}{tL}=\frac{\rho}{t}$
i.e. R is independent of L.
Hence the correct option is (c).