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Question: Answered & Verified by Expert
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

PhysicsCurrent ElectricityJEE Main
Options:
  • A
    directly proportional to $L$
  • B
    directly proportional to $t$
  • C
    independent of $L$
  • D
    independent of $t$
Solution:
2396 Upvotes Verified Answer
The correct answer is:
independent of $L$
$R=\frac{\rho(L)}{A}=\frac{\rho L}{t L}=\frac{\rho}{t}$ ie, $R$ is independent of $L$. Hence the correct option is (c).

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