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 $t$

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Solution:

  1. $R=\frac{\rho(L)}{A}=\frac{\rho L}{t L}=\frac{\rho}{t}$

i.e. $R$ is independent of $L$.

Hence, the correct option is (c).



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