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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____
42336.PNG


A
directly proportional to L
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B
directly proportional to t
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C
independent of L
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D
independent of t
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Solution

The correct option is D independent of L
As $$R= \rho \dfrac{l}{a}$$
Therefore $$R=\rho \dfrac{l}{l\times t}=\dfrac{\rho}{t}$$

Physics

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