Consider a thin square sheet of side L and thickness t , made of a...

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 Consider a thin square sheet of side L and thickness t , made of a material of resistivity . The resistance between two

Consider a thin square sheet of side L and thickness t , made of a material of resistivity . The resistance between two

Options

Adirectly proportional to $L$
Bdirectly proportional to $t$
Cindependent of $L$
Dindependent of $t$

Correct answer

C. independent of $L$

Step-by-step solution

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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