Current Electricity 1 Question 14
14. 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
(2010)
(a) directly proportional to $L$
(b) directly proportional to $t$
(c) independent of $L$
(d) independent of $t$
Show Answer
Solution:
- $R=\frac{\rho(L)}{A}=\frac{\rho L}{t L}=\frac{\rho}{t}$
i.e. $R$ is independent of $L$.
Hence, the correct option is (c).
